The probability that the sample average amount of time taken on each day is at most 11 min:
P([tex]\bar{X_1}[/tex] < 11) = 0.8682
P([tex]\bar{X_2}[/tex] < 11) = 0.8897
We know that the formula for the z-score is:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Let X be the time taken by a randomly selected applicant for a mortgage to fill out a certain form
[tex]\mu_x[/tex] = 10
[tex]\sigma_x[/tex] = 2
Here, five individuals fill out a form on one day and six on another.
This means that the population is the same on both days, but the samples of different sizes.
On Day 1 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{5}[/tex])
We find the probability using z-score.
The probability that the sample average amount of time taken on day 1 is at most 11 min:
P([tex]\bar{X_1}[/tex] < 11)
=[tex]P(\frac{\bar{X_1}-10}{(\frac{2}{\sqrt{5} } )} < \frac{11-10}{(\frac{2}{\sqrt{5} } )})[/tex]
= P(z < 1.118)
= 0.8682
Similarly, on Day 2 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{6}[/tex])
So the probability that the sample average amount of time taken on day 1 is at most 11 min:
P([tex]\bar{X_2}[/tex] < 11)
=[tex]P(\frac{\bar{X_2}-10}{(\frac{2}{\sqrt{6} } )} < \frac{11-10}{(\frac{2}{\sqrt{6} } )})[/tex]
= 0.8897
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The complete question is:
The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?
Find the length of side x in simplest radical form with a rational denominator.
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The rule for a 30:60:90 triangle is [tex]\sqrt{3}:x: 2[/tex]
That means that to get the bottom side, we can divide 4/2
That makes 2, so then we can find x by multiplying 2 by [tex]\sqrt{3}[/tex]
That makes 2[tex]\sqrt{3}[/tex]
Katya sold
46 books at £1.40 each
32 bracelets at £1.50 each
some badges at 90p each
She got a total of £134
Work out how many badges Katya sold.
Answer:
This is a math problem. To solve it, you need to use algebra. Let me show you how.
Let x be the number of badges Katya sold. Then we can write an equation using the given information:
46 × 1.40 + 32 × 1.50 + 0.90 × x = 134
Simplifying the equation, we get:
64.4 + 48 + 0.9x = 134
Subtracting 64.4 and 48 from both sides, we get:
0.9x = 21.6
Dividing both sides by 0.9, we get:
x = 24
Therefore, Katya sold 24 badges.
Step-by-step explanation:
Prove by induction that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders. You can only use the definition of Bk. Per the definition, Bk is formed by joining two Bk−1 trees.
We will prove that if we remove the root of a k-th order binomial tree, it results in k binomial trees of smaller orders.
Base case: If k = 1, the binomial tree consists of a single node. Removing the root node leaves an empty tree, which can be considered as a collection of 0 binomial trees of smaller orders.
Induction hypothesis: Assume that the statement is true for a k-th order binomial tree.
Induction step: We need to prove that the statement is true for a (k+1)-th order binomial tree, which is formed by joining two k-th order binomial trees.
Remove the root node of the (k+1)-th order binomial tree. This results in two trees, each of which is a k-th order binomial tree.
By the induction hypothesis, removing the root node of each of the two k-th order binomial trees results in k binomial trees of smaller orders.
Thus, removing the root node of the (k+1)-th order binomial tree results in a total of 2k binomial trees of smaller orders, which completes the proof.
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Given that BF =5, find FE.
According to the above, we can infer that the value of FE is: 10 cm
How to find the value of FE?To find the value of FE we must analyze the image of this triangle. Additionally, we must take into account the information we know, that is, the length of two sides (5 cm) and the height (4 cm), the area (20cm²).
So we must use the formula for the area of a triangle and isolate the values that we do know to find the value of the base.
A = b * h / 220cm² * 2 / 4 = 10cmAccording to the above, the value of segment FE is 10 cm.
Note: This question is incomplete. Here is the complete information:
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If Y varies directly with X, how do you write the equation when Y=16 and X=4?
When Y directly varies with X, the direct variation equation is X = 2.
What is the direct variation formula?A direct variation is a relationship between two variables when their ratio is constant. One variable is said to vary in direct proportion to another. Y = kx, where k is the variational constant, is the formula for direct variation. If y varies in direct proportion to x and y = 6 when x = 2, the variational constant is k = = 3. Consequently, y = 3x is the equation that describes this direct variation.
If y directly correlates with x, we can apply the direct variation formula as follows:
y = kx
where k is the proportionality constant.
We may utilise the y and x values provided to find k:
y = kx
16 = k(4)
Solving for k, we get:
k = 16/4 = 4
Now we can use the value of k to find x when y = 8:
y = kx
8 = 4x
Dividing both sides by 4, we get:
x = 2
Therefore, when y = 8, x = 2.
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Question:
If y varies directly with x and y = 16 when x = 4, find x when y = 8.
Write and solve a direct variation equation to find the answer.
X =?
Use the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =
By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =
Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9
Equation:
In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.
Given:
This table;
x y = 3x+3
-3 -6
-2 a
-1 b
0 3
1 c
2 d
To Find:
Values of a, b, c and d
Consider the 2nd row,
x = -2, y = a
Putting the values in the equation,
we get,
a = 3(-2) + 3
⇒ a = -3
Consider the 3rd row,
x = -1, y = b
Putting the values in the equation,
we get,
b = 3(-1) + 3
⇒ b = 0
Consider the 5th row,
x = 1, y = c
Putting the values in the equation,
c = 3(1) + 3
⇒ c = 6
Consider the 6th row,
x = 2, y = d
d = 3(2) + 3
⇒ d = 9
The final answer is,
a = -3, b = 0, c = 6, d = 9.
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for todays free brainiest what is 6+9 here's a hint: its not 15 first to answer get brainlest
Answer:
12
Step-by-step explanation:
6 with 9 figers
Answer:
Let x be 6 and y be 9.
x + y = 6 + 9 = 15.
However, x + y does not equal 15. Hence, we can deduce that:
x + y = 15 [tex]\neq[/tex] 15.
15 does not equal 15, so if 15 is 15 and not equal to 15, we can prove that since 6 does not equal 9, 6 is 9. We can therefore conclude that we need to solve for x + x. Since we proved that something is something by not being something, 2x ix 2x but not 2x.
2x isn't 2x but is 2x, so the answer isn't the answer but is still the answer. Therefore, this question isn't a question when it is a question.
:) I am teaching you Maths in Ohio.
At a farmer’s market, a vendor sells soup that comes in two different-sized containers, both shaped like cylinders. When the small container is filled, it holds
10
10 ounces of soup. The larger container’s diameter is
5
2
2
5
times larger than the small container’s diameter, and it is
5
2
2
5
times taller than the small container. How many ounces of soup will the larger container hold when filled?
You may round your answer to one decimal place
The larger container will hold 500 ounces of soup when filled.
We know that the formula for the volume of cylinder is: V = πr²h
Let us assume that for the smaller container, d₁ represents the diameter, r₁ represents the radius, h₁ represents the height of the container and v₁ represents the volume of the container.
So, using above formula, the volume of the smaller container would be,
v₁ = π × r₁² × h₁
10 = π × r₁² × h₁
For the larger container, d₂ represents the diameter, r₂ represents the radius, h₂ represents the height of the container and v₂ represents the volume of the container.
Using above formula, the volume of the larger container would be,
v₂ = π × r₂² × h₂
The larger container’s diameter is 5 times larger than the small container’s diameter.
so, we get an equation
⇒ d₂ = 5d₁
⇒ r₂ = 5r₁
Also, the lrger container is 2 times taller than the small container.
⇒ h₂ = 2h₁
Consider the ratio of volume of larger cotainer to the volume of smaller container.
v₁/v₂ = (π × r₁² × h₁) / ( π × r₂² × h₂)
10/v₂ = (r₁² × h₁) / ( (5r₁)² × (2h₁))
10/v₂ = (r₁² × h₁) / ( 50 × r₁² × h₁)
10/v₂ = 1/50
v₂ = 500 ounces
which is 50 times more than the smaller container.
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The complete question is:
At a farmer’s market, a vendor sells soup that comes in two different-sized containers, both shaped like cylinders. When the small container is filled, it holds10 ounces of soup. The larger container’s diameter is 5 times larger than the small container’s diameter, and it is 2 times taller than the small container. How many ounces of soup will the larger container hold when filled?
place the following scores in a frequency distribution table. based on the frequencies, what is the shape of the distribution? 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15
The frequency table is:-
Data Frequency
10 1
11 2
12 2
13 4
14 6
15 5
What is a frequency table?The frequency table determines the frequency of the data. In other words, it tells us how many times the same data is repeated.
The given data set is, 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15
The frequency table can be written as:-
Data Frequency
10 1
11 2
12 2
13 4
14 6
15 5
The distribution's shape for the next data set you provided is left- or negatively skewed. This is due to the fact that as a number's value increases, so does its frequency.
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according to the table, what is the probability that a randomly chosen physical therapist does not use the gym membership given that they bring their lunch to work? give your answer as a fraction in simplest form.
The probability that a randomly chosen physical therapist does not use the gym membership given that they bring their lunch to work is 2/3, in simplest form.
The table shows the information about the gym membership and lunch habits of 100 physical therapists.
Given that a physical therapist brings their lunch to work, we can use the information in the table to calculate the probability that they do not use the gym membership. To do this, we'll use the formula:
P(not using gym membership | brings lunch) = P(not using gym membership and brings lunch) / P(brings lunch)
We can use the information in the table to find the values of P(not using gym membership and brings lunch) and P(brings lunch).
P(not using gym membership and brings lunch) = 40/100 = 2/5
P(brings lunch) = 60/100 = 3/5
So, the probability that a randomly chosen physical therapist does not use the gym membership given that they bring their lunch to work is:
P(not using gym membership | brings lunch) = P(not using gym membership and brings lunch) / P(brings lunch) = (2/5) / (3/5) = 2/3
Therefore, the probability that a randomly chosen physical therapist does not use the gym membership given that they bring their lunch to work is 2/3, in simplest form.
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I desperately need help with this!!!!!!!!!!!!
Answer:
a. 54 = 2 * 3³
b. 108 = 2² * 3³
c. 360 = 2² * 3² * 5
etc.
Step-by-step explanation:
So, you need to have a list of primes handy:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
Now, take your number and try to divide it by the first prime, 2.
54 = 27 * 2
That worked. Note down the 2 and repeat with the result. You find 27 cannot be divided by 2 again, but it can be divided by 3 (the next prime in the list):
27 = 9 * 3
Note down the 3 and repeat:
9 = 3 * 3
Note down a 3 again.
So you have
54 = 2*3*3*3 = 2 * 3³
You can continue this until the result is a prime number itself. Then you are done.
Need help on these questions. What are the values of x? Need step by step.
8x²=6x²+5x²
-7x²+6=x²-7x²
7x²+9x²=-6x²-7x
The values of x for the given equations are:
1. The value of x = 0
2. The values of x are ±1
3. The values of x are 0 and -7/16
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
To find the values of x in each of the equations, we need to simplify them using algebraic operations:
1. 8x² = 6x² + 5x²
Combining like terms on the right-hand side:
8x² = 11x²
Subtracting 6x² from both sides:
2x² = 0
Dividing both sides by 2:
x² = 0
Taking the square root of both sides:
x = 0
Therefore, the only solution to this equation is x = 0.
2.Similarly, we can calculate values of x for this equation:
-7x² + 6 = x² - 7x²
x² = 1
Taking the square root of both sides:
x = ±1
Therefore, the solutions to this equation are x = 1 and x = -1.
3. 7x² + 9x² = -6x² - 7x
x(16x + 7) = 0
Using the zero product property:
x = 0 or 16x + 7 = 0
Solving for x in the second equation:
16x = -7
Dividing both sides by 16:
x = -7/16
Therefore, the solutions to this equation are x = 0 and x = -7/16.
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Consider Juan Soto's wins above replacement statistics for the four seasons in the table. In which season did he have the greatest value to his team?
Answer: 2021
Step-by-step explanation:
In the figure below, find mzABC.
B
D
m/ABC=
The measure of angle ABC from the given circle D is 34°.
What is angles in the same segment theorem?The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
Given that, circle with the center D and measure of arc AC is 34°.
The measure of arc = m∠ABC
m∠ABC =34°
Therefore, the measure of m∠ABC is 34°.
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the hippo at the zoo weighs 1.5 tons.how many pounds does the hippo weigh
The required weight of a hippo in pounds is given as 3,000 pounds.
What is a unit of measurement?
Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
Here,
One ton is equal to 2,000 pounds, so a hippo that weighs 1.5 tons would weigh,
1.5 tons × 2,000 pounds/ton = 3,000 pounds
Therefore, the hippo at the zoo weighs 3,000 pounds.
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#5
CONNECTING CONCEPTS You use 94 inches of plastic to frame the perimeter of a kite. One side of the kite has a
length of 18 inches. Find the length of each of the three remaining sides in order from least to greatest.
Length: in.,in., in
The length of the tree remaining sides are 18 inches, 29 inches and 29 inches.
What are the lengths of the remaining sides?A kite is an object with four sides. It length of the two adjacent sides are of equal length. No pair of sides in a kite are parallel. The perimeter of a kite is the sum of the length of the four sides of the kite.
Perimeter of a kite = 2( a + b)
94 = 2(18 + b)
94 / 2 = 18 + b
47 = 18 + b
b = 47 - 18
b = 29 inches
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Please help ASAP!
Complete the equation of this circle.
(x-[ ])^2+(y-[ ])^2=[ ]
The equation for this circle is as stated in the above statement: (x-h)² + 2(y-k)² = r²
Why does life have a circle?Today, circles are still significant symbolically; they frequently stand for peace and unity. Check out at the Olympic logo, for instance. It contains five overlapping rings of various colors that collectively symbolize the world's five major continents, which are joined in a great spirit of healthy rivalry.
How come it's called a circle?A circle is a round shape that may be created by following a moving point on a plane while maintaining a constant distance from another point. This Greek word kirkos, which means hoop or ring, is whence the word circle gets its from.
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Evaluate x² + 2y + 3x for x = 5, y = 8
What is the probability of tossing a coin and it landing on head 8 times in a row
Answer:
The probability of tossing a fair coin and it landing on heads 8 times in a row is (1/2)^8 = 1/256. This means that there is a 1 in 256 chance that a fair coin will land on heads 8 times in a row. The probability of an event can be calculated by taking the number of favorable outcomes and dividing it by the number of possible outcomes. In this case, there is only one favorable outcome (tossing a heads 8 times in a row) and two possible outcomes for each toss (heads or tails), so the probability is 1/2^8 = 1/256.
Step-by-step explanation:
Answer:
it should be 0.04percent.
during an experiment the tempsture of mixture changes from 12 1/4 F to 15 3/5 F what is the percent of the increse in the temperature of the mixture
HURRY!
The percentage of the increase in the temperature of the mixture is 27.34%.
What is the percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.
Here are some percentage examples:
10% is 1/10 of a fraction.
20% is equal to a 1/5 portion.
25% is equal to 1/4 fractions.
Now,
As percentage increase = (final value-initial value) / initial value *100
Here initial temperature=12 1/4 F=49/4 F and
Final temperature = 15 3/5=78/5 F
then (final value-initial value) =78/5-49/4=15.6-12.25
=3.35
therefore, percentage increase=3.35/12.25*100
=0.2734*100
=27.34%
Hence,
The percentage of the increase in the temperature of the mixture is 27.34%.
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Ms. Morris charges $5.00 to print 20 photos for Science Fair. At this rate , what is the cost to print 50 photos?
The cost to print 50 photos is $12.50
What is proportion?
The proportion formula is used to determine whether or not two ratios or fractions are equal.
We can use a proportion to find the cost to print 50 photos based on the cost to print 20 photos. Since Ms. Morris charges $5.00 to print 20 photos, we can set up the proportion:
[tex]\frac{cost \ of \ 20\ photos}{number \ of\ photos } =\frac{cost \ of \ 50 \ photos}{number\ of \ photos}[/tex]
Plugging in the given values, we get:
$5.00 / 20 photos = x / 50 photos
Simplifying, we can cross-multiply to get:
20 photos * x = $5.00 * 50 photos
Multiplying and simplifying further, we get:
20x = $250.00
Dividing both sides by 20, we get:
x = $12.50
Therefore, the cost to print 50 photos is $12.50.
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The stemplot shows the years of experience for several teachers at Sycamore High School.
A stemplot titled Teaching Experience. The values are 2, 4, 5, 5, 5, 7, 9, 10, 12, 14, 15, 15, 18, 20, 24.
What is the IQR of the data?
6 years
10 years
12 years
22 years
The IQR of the data is 10 years and option B is the correct answer.
What is IQR?The dispersion of the middle 50% of the sample is measured by the interquartile range, or IQR, which is the difference between the top and lower quartiles.
The given data is: 2, 4, 5, 5, 5, 7, 9, 10, 12, 14, 15, 15, 18, 20, 24.
The median of the data is:
M = 15 + 1 /2 = 16/2 = 8th value.
M = 10
Ignoring the median divide the data into two parts.
The lower quartile median is 4th term:
Q1 = 5
The upper quartile median is 12th term:
Q2 = 15
IQR = Q2 - Q1
IQR = 15 - 5 = 10 years.
Hence, the IQR of the data is 10 years and option B is the correct answer.
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John wants to have 600 copies. His local print shop charges $10 for the First 200 copies and $15 for every additional 100 copies
Part A: How much will the 600 copies cost, including a sale tax of 6%?
Part B: If the number of sets of 100 is represented by x, write an equation to express the cost, y.
Part C: Use the equation to determine the cost of 900 copies. Include the 6% sales tax in the total final cost.
The cost of 600 copies is $90.10
The cost of 900 copies is $137.80.
The equation that expresses cost is y = 1.06 x ($10 + $15x)
What is the equation that expresses cost?The equation that represents the information in the question is:
Total cost = 1 + sales tax x [cost of the first 100 copies + (x x cost of every additional 100 copies)]
y = 1.06 x ($10 + $15x)
Cost of 600 copies:
x = (600 - 100) / 100 = 500 / 100 = 5
y = (1 + 6/100) x [$10 + (5 x $15)]
y = 1.06 x [$10 + $75)
y = 1.06 x $85
y = $90.10
Cost of 900 copies:
x = (900 - 100) / 100 = 800 / 100 = 8
y = (1 + 6/100) x [$10 + (8 x $15)]
y = 1.06 x [$10 + $120)
y = 1.06 x $130
y = $137.80
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triangle abc and triangle def are smillar
which proportion must be true ?
The proportion EF/DF = BC/AC is true. Hence, option A is the accurate answer to this question.
We are given that the two triangles ΔABC and ΔDEF are similar.
According to the definition of a similar triangle, we know that the ratio of the corresponding sides is proportional and the corresponding angles are always congruent.
Since ΔABC and ΔDEF are similar, this implies that -
∠A corresponds to ∠D,
∠B corresponds to ∠E, and
∠C corresponds to ∠F.
Thus we can say -
EF/DF = BC/AC
AB/DF = DE/AC
AB/EF = DE/BC
Only option A satisfies the condition. Hence, the proportion EF/DF = BC/AC is true.
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The complete question is -
The triangle abc and triangle def are similar. Which proportion must be true?
Kingsley knows that 1 inch is about 2. 54 centimeters. He wants to write an equation he can use to convert any given length in inche (I) to centimeters (c)
Kingsley knows that 1 inch is about 2. 54 centimeters.6 inches is equivalent to 15.24 centimeters.
To convert any given length in inches (I) to centimeters (c), Kingsley can use the following equation:
c = I * 2.54
This equation works because we know that 1 inch is equal to 2.54 centimeters. So, to convert any given length in inches to centimeters, we simply multiply the number of inches by 2.54. The result gives us the equivalent length in centimeters.
For example, if we want to convert a length of 6 inches to centimeters, we can use the equation:
c = 6 * 2.54 = 15.24
So, Kingsley knows that 1 inch is about 2. 54 centimeters. 6 inches is equivalent to 15.24 centimeters.
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what is the variance and standard deviation for the number of patients arriving at this hospital with flu-like symptoms between 12:00pm and 12:20pm?
Without any data, we cannot determine the variance and standard deviation for the number of patients arriving at a hospital with flu-like symptoms between 12:00pm and 12:20pm.
To determine the variance and standard deviation for the number of patients arriving at a hospital with flu-like symptoms between 12:00pm and 12:20pm, we would need to know some data about the number of patients arriving during this time period. Without this data, we cannot calculate the variance and standard deviation.
If we were given a sample of data for the number of patients arriving during this time period, we could calculate the sample variance and sample standard deviation using the following formulas:
Sample variance = [(Σx²) - (Σx)² / n] / (n - 1)
Sample standard deviation = √(sample variance)
where Σx² is the sum of the squares of the deviations from the mean, Σx is the sum of the deviations from the mean, n is the sample size.
Alternatively, if we were given the mean number of patients arriving during this time period and the population variance, we could use the following formula to calculate the population standard deviation:
Population standard deviation = √(population variance)
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I have been stuck on this question for a little while now
Answer:
could write 21 + 38 + 75 = 134
Step-by-step explanation:
16. 220 fans travel to a rugby match in minibuses.
Each minibus holds 18 fans.
How many minibuses are needed?
Answer:
13 buses are required.
Step-by-step explanation:
To find the number of minibuses required, take the total number of fans and divide by the number of fans each bus holds.
220 /18
12 2/9
We need to round up to make sure all the fans get on a bus.
13 buses are required.
Point A is located at (-2,-1) on the coordinate plane. Point A is reflected over the y-axis to create point A. What ordered pair describes the location of A?
Answer:
A' (2, - 1 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (- 2, 1 ) → A' (-(- 2), - 1) → A' (2, - 1 )
can you answer the question in the picture and explain it please
Answer:
G descends about 8 ft per second
Step-by-step explanation:
You want to know the descent rate of an airplane whose altitude is shown on a graph as being 1500 ft at 0 seconds and 0 ft at 180 seconds.
Rate of changeThe airplane descended 1500 feet over a period of 180 seconds. That rate of change is ...
(-1500 ft)/(180 s) ≈ -8.333 ft/s
The plane descends about 8 feet per second.
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Additional comment
The slope of the line segment is the change in y divided by the change in x. For computing these changes, it is useful to consider points whose coordinates are obvious. Here, the y-intercept (1500 ft) and the x-intercept (180 seconds) are good choices.
The change in y from 1500 to 0 is a change of -1500. The change in x from 0 to 180 is a change of +180. The ratio of these changes is the slope, which is often designated by the letter m:
m = -1500/+180 = -25/3 = -8 1/3 . . . . . . about -8
The units of the slope are the ratio of the y-axis units to the x-axis units: feet/second.
The slope of -8 feet/second tells you the plane is descending about 8 feet per second.
