Answer:
7 7/8.
Step-by-step explanation:
o add mixed numbers like these, we first need to convert them to improper fractions, and then add them. Here are the steps to add 5 3/8 and 2 1/2:
Convert the mixed numbers to improper fractions:
5 3/8 = (5 x 8 + 3)/8 = 43/8
2 1/2 = (2 x 2 + 1)/2 = 5/2
Find a common denominator for the two fractions. The least common multiple of 8 and 2 is 8, so we can convert both fractions to have a denominator of 8:
43/8 + 5/2 = (43/8) + (5/2 x 4/4) = 43/8 + 20/8
Add the two fractions with the same denominator:
43/8 + 20/8 = 63/8
Convert the result back to a mixed number:
63/8 = 7 7/8
11. Victor spins the spinner below. Determine the approximate probabilities. Show your work
11a. P(quadrilateral) A. 3% B. 67% C. 0.5 D. 1/3
11b. P ( polygon with at least 5 sides) A. 3% B. 67% C. 0.5 D. 1/3
The probability of spinning a quadrilateral is 1/3 and probability of spinning a polygon with at least 5 sides is 0.5
What is probability?Probability is a measure of the likelihood of an event to occur.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
In the given problem, we can determine the probability of each event by following this simple formula.
a. The probability of spinning a quadrilateral.
P(quadrilateral) = 2 / 6 = 1/3
NB: A quadrilateral is any figure or shape with four sides.
b. The probability of a polygon with at least 5 sides.
P(polygon > 5 sides) = 3/6 = 1/2
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5. Find the volume of the pyramid below? 4. Find the volume of the cone below.
40m
30m
52m
The volume of the rectangular pyramid is 20800 m³.
How to find the volume of a pyramid?The volume of the pyramid can be found as follows:
The pyramid is a rectangular base pyramid. Therefore,
volume of the pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore,
B = 52 × 30
B = 1560 m²
volume of the pyramid = 1 / 3 × 1560 × 40
volume of the pyramid = 62400 / 3
volume of the pyramid = 20800 m³
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In the figure, A MNP-AXYZ. Find the value of x.
X
P
+F
M
18
N
Z
27
G 12
The solution is: the values of x and y is 32° and 51° respectively.
Using the triangle theorem, the values of x and y is 32° and 51° respectively
From △MNP
∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)
N = 180 - (142 + 24)
N = 180 - 168
N = 14°
Equate the expression :
2x - 50 = 14
2x = 14 + 50
2x = 64
x = 64 / 2
x = 32°
From ; 2x - y = 13 _____(1)
Substitute x = 32 into the expression ;
2(32) - y = 13
64 - y = 13
64 - 13 = y
51° = y
Therefore, the values of x and y is 32° and 51° respectively.
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complete question:
Find the value of x and y. Triangle MNP = triangle TUS
What is the best prediction for the number of times that it will land on orange?
Answer:
20 times
Step-by-step explanation:
There are 5 color options that are all the same size.
So orange = 1/5.
(1/5) * 100 = 20 times
Mean, Fractiles, median, and mode are called the measures of central tendency
The mean monthly income is $3300, the median monthly income is $3000, there is no mode, and the range of the monthly income is $3000.
To find the mean, median, mode, and range of the monthly incomes, we'll perform the following calculations:
Mean:
The mean is calculated by summing all the values and dividing by the total number of values.
Mean = (2000 + 2500 + 3000 + 4000 + 5000) / 5
Mean = 16500 / 5
Mean = 3300
The mean monthly income is $3300.
Median:
The median is the middle value when the data is arranged in ascending order. In this case, since we have an odd number of values, the median is the middle value.
Arranging the incomes in ascending order: $2000, $2500, $3000, $4000, $5000
The median monthly income is $3000.
Mode:
The mode is the value(s) that appear most frequently in the data. In this case, there is no value that appears more than once, so there is no mode.
The data has no mode.
Range:
The range is calculated by subtracting the minimum value from the maximum value.
Range = Maximum Value - Minimum Value
Range = $5000 - $2000
Range = $3000
The range of the monthly income is $3000.
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The complete question is as follows:
Mean, Fractiles, median, and mode are called the measures of central tendency. A group of friends recorded their monthly incomes in dollars. The incomes are as follows: $2000, $2500, $3000, $4000, $5000. Determine the mean, median, mode, and range of their monthly incomes.
Steve says to find the difference in temperature between 7 AM and
12 PM Wednesday, he can use a number line. He says because one
temperature is negative and the other is positive, he can add together their
distances from 0.
Kelly says that she can find the change by subtracting -5.1 from the temperature
at 12 PM on Wednesday.
Who is correct? Use the drop-down menus to explain your reasoning and find the
change in temperature.
and the distance from 0 to the Wednesday 12 PM temperature is 2.5
Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.
By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.
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5. A shopkeeper sold a pen for Rs.13.20 to make a profit of 10 percent. In order to earn a profit
of 15 percent, he should have sold it for.
a. Rs.13.53
b. Rs.13.73
c. Rs.13.80
d. Rs.13.86
The shopkeeper should have sold the pen for Rs. 13.80 in order to earn a profit of 15%. Option C
To determine the selling price of the pen in order to earn a 15% profit, we can use the concept of a profit margin.
Let's start by finding the cost price of the pen. Since the shopkeeper wants to make a 10% profit when selling the pen for Rs. 13.20, we can set up the equation:
Cost price + 10% profit = Selling price
Let's assume the cost price of the pen is C. Then, we can write theequation as:
C + 0.1C = 13.20
Simplifying the equation, we have:
1.1C = 13.20
Dividing both sides by 1.1, we find:
C = 12
So, the cost price of the pen is Rs. 12.
Now, to determine the selling price that will yield a 15% profit, we can use the formula:
Selling price = Cost price + Profit
Profit is calculated as a percentage of the cost price. In this case, the profit percentage is 15%. Substituting the values, we have:
Selling price = 12 + 15% of 12
Selling price = 12 + (0.15 * 12)
Selling price = 12 + 1.8
Selling price = 13.8
Therefore, the shopkeeper should have sold the pen for Rs. 13.80 in order to earn a profit of 15%.
The correct answer is option c. Rs. 13.80. Option C
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is .023 a rational number
Answer:
Yes, .023 is a rational number.
Step-by-step explanation:
A rational number is defined as any number that can be expressed as a ratio of two integers, where the denominator is not zero.
To show that .023 is a rational number, we can express it as a fraction in which the numerator and denominator are integers.
We can write:
.023 = 23/1000
Both the numerator (23) and denominator (1000) are integers, so .023 is a rational number.
Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =
Answer:
Step-by-step explanation:
A town randomly surveyed some residents to see if they were interested in adding a dog park. The results of the survey are shown in the two-way
table.
In Favor Not In Favor Total
Male
19
21
40
Female 16
34
50
Total
35
55
90
What is the probability that a randomly selected resident is in favor of the dog park?
O
A.
O
O B. T/100
C.. 7/3
18
19
90
U
OD. 11
18
The probability that a randomly selected resident is in favor of the dog park is option
B. 7/18
How to find the probabilityTo find the probability that a randomly selected resident is in favor of the dog park we have to determine the number of residents who are in favor and divide it by the total number of residents surveyed
the number of residents in favor of the dog park
= in favor both male and female
= 19 + 16
= 35.
total number of residents surveyed is 90
the probability
P(In Favor) = Number of residents in favor / total number of residents surveyed
= 35 / 90
= 7/18
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simplify
2x^2+8-4x+3x-6x^2+7
Answer: -4x^2-x+15
Step-by-step explanation:
Combine like terms: 2x^2 and -6x^2 combine to -4x^2.
Combine like terms: -4x and 3x combine to -x.
Combine like terms: 8 and 7 combine to 15.
The simplified expression is -4x^2-x+15.
How many fish (angelfish and eels) are there?
Number of Animals
25
20
15
10
5
0
Science Museum Water Exhibit
Snakes Turtles Angelfish
Animal
Eels
The number of fish, including angelfish and eels that are shown by the bar graph, can be found to be 45 fish .
How to find the number of fish ?The science museum water exhibit bar graph shows the number of animals that are in the water exhibit in the museum.
We see that there are 15 snakes, 10 Turtles, 25 Angelfish, and 20 eels.
If we are to find the number of fish in the science museum water exhibit, all we need to do is to sum up the number of Angelfish and Eels. Doing this sum would add up to :
= 25 Angelfish + 20 eels
= 45 fish
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Please help I’ll mark you as brainliest if correct
Answer:
5, 3
Step-by-step explanation:
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
tan (0+24°)
A. cot (66⁰-0)
B. cot (156⁰-0)
C. tan (66⁰-0)
D. cot (114⁰-0)
The given function is tan (0+24°) and its cofunction can be expressed as ;tan (0+24°)= tan (66⁰-0)
Therefore tan (0+24°) in terms of its cofunctions, we need to use the formulas for sin and cos of complementary angles.
The complementary angle of 24° is 66° because 24° + 66° = 90°.
Using the formula for the sum of two angles, we can then substitute these values to get:
tan (0+24°)= tan (66⁰-0)
Therefore, expression of tan (0+24°)in terms of its cofunctions is tan (0+24°) = tan (66⁰-0)
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URGENT PLEASE HELP!!!!
Out of 413
applicants for a job, 127
have over 10
years of experience and 51
have over 10
years of experience and have a graduate degree.
Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10
years of experience? Enter a fraction or round your answer to 4
decimal places, if necessary.
Given that a randomly selected applicant has more than 10 years of experience, the likelihood that they have a graduate degree is roughly 0.4016.
To find the probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience, we need to use conditional probability. We can use the formula:
P(grad degree | over 10 years of experience) = P(grad degree and over 10 years of experience) / P(over 10 years of experience)
From the given information, we know that:
P(grad degree and over 10 years of experience) = 51 (number of applicants with over 10 years of experience and a graduate degree)
P(over 10 years of experience) = 127 (number of applicants with over 10 years of experience)
So, plugging in these values:
P(grad degree | over 10 years of experience) = 51 / 127
Using a calculator, we get:
P(grad degree | over 10 years of experience) ≈ 0.4016
Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, is approximately 0.4016.
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Haley is returning from a business trip. Her empty suitcase has a mass of 5.1 kg. Her clothes have a combined mass of 14.8 kg. Haley also wants to pack 4 gifts, each with a mass of 870 g. The airline restriction for a suitcase is a limit of 22.7 kg. Can Haley bring everything home in her suitcase? If not, how many gifts can she pack? Explain.
From the calculation, she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.
What can she pack?We know that we have to consider the restriction that the airline has placed. We have been told that the luggage that have to be packed in this case would have to be less than 22.7 kg.
We would now have to look at all the things that Haley would need to pack so as to determine what can be packed and what can not be packed.
Total luggage that she has to pack;
Mass of empty suitcase + mass of her clothes + mass of 4 gifts
Total luggage = 5.1 Kg + 14.8 Kg + 4(0.87) = 23.38 Kg
This implies that she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.
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How many edges on a cylinder?
A cylinder has two types of edges: the curved edges and the top and bottom edges.
A cylinder is a three-dimensional geometric shape that consists of two circular bases and a curved surface connecting the bases. The circular bases have a certain number of edges, depending on the number of sides each base has.
Since a circle has no straight edges, the circular bases of a cylinder do not contribute any edges.
The curved surface of a cylinder has no straight edges either, as it consists of a smooth, continuous surface.
Therefore, the curved surface does not contribute any edges to the cylinder.
The only remaining edges are the top and bottom edges of the cylinder. Each base of the cylinder has a single edge that runs along the circumference of the circular base.
Hence, the cylinder has two edges from its top and bottom bases.
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Write an equation for a function that has a graph with the given characteristics.
The shape of y= |x| that has been shrunk vertically by a factor of 2/9.
----------------------.
The absolute value function y = |x| looks like a "V" shape, with the vertex at the origin and the arms going off to positive and negative infinity. To shrink this function vertically by a factor of 2/9, we can multiply the entire function by 2/9:
y = (2/9)|x|
This new function has the same "V" shape, but the y-values are only two-ninths as large as they would be for the original function at any given value of x. The vertex of the new function is still at the origin, and the arms still go off to positive and negative infinity.
Answer:
X
2.4 cm
4.2 cm
If the value of x is 5 cm, what is the area of the entire quadrilateral?
f(x) cm²
7.5 cm
Answer:
62.25
Step-by-step explanation:
Rectangle Area Formula: A=l•w
7.5•5=37.5
=hbb/2=7.5·4.2/2=15.75
=hbb/2=7.5·2.4/2=
Add all three =62.25
2. A triangular field ABC is such that AB-90m, BC = 30m and
AC-85m Make a scale drawing of it, using a scale of 1 cm to 10m.
From
your
scale drawing, find the actual distance from A to the
mid-point of BC and the the actual distance from B to the
mid-point of AC.
The actual distance from A to the mid-point of BC is 42 m.
The actual distance from B to the mid-point of AC is 27 m.
A scale of 1 cm to 10 m can draw the triangular field ABC as follows:
C
/ \
85 / \ 90
/ \
A-------B
30
Here, we draw AB as a horizontal line segment of length 9 cm (since AB is 90 m and the scale is 1 cm to 10 m), BC as a vertical line segment of length 3 cm (since BC is 30 m and the scale is 1 cm to 10 m) and AC as the hypotenuse of a right triangle with legs of length 8.5 cm and 9 cm (since AC is 85 m and AB is 90 m).
We can use a ruler to measure the actual distances from A to the mid-point of BC and from B to the mid-point of AC on the scale drawing.
The actual distance from A to the mid-point of BC, we first locate the mid-point of BC on the scale drawing is at a distance of 1.5 cm from B.
Then, we measure the distance from A to the mid-point of BC on the scale drawing is approximately 4.2 cm.
The scale of 1 cm to 10 m, we can convert this to the actual distance:
Actual distance = 4.2 cm × 10 m/cm
= 42 m
The actual distance from B to the mid-point of AC first locate the mid-point of AC on the scale drawing is at a distance of 4.25 cm from A.
Then, we measure the distance from B to the mid-point of AC on the scale drawing is approximately 2.7 cm.
Using the scale of 1 cm to 10 m, we can convert this to the actual distance:
Actual distance = 2.7 cm × 10 m/cm
= 27 m
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4. What is the mean absolute deviation of the data below to the nearest hundredths?
(13, 16, 16, 17, 20, 20, 20, 21, 22)
Answer:
Exact form: 2.5185185185185
Simplified form: 2.52
Fraction form: 63/25
Step-by-step explanation:
Factor the trinomial: 5x^2 + 26x +24
Answer: (5x+6)(x+4)
Step-by-step explanation:
5x^2 + 26x + 24
5x^2 + 20x + 6x + 24
(5x^2 + 20x) + (6x + 24)
5x(x + 4) + 6(x + 4)
5x(x + 4) + 6(x + 4)
(5x + 6)(x + 4)
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting?
Answer:
220 in.²
Step-by-step explanation:
top face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²
bottom face - rectangle: A = LW = 9 in. × 2 in. = 18 in.²
left face - rectangle: A = LW = 12 in. × 2 in. = 24 in.²
right upper face - rectangle: A = LW = 8 in. × 2 in. = 16 in.²
right lower face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²
middle horizontal face - rectangle: A = LW = (9 - 4) in. × 2 in. = 10 in.²
front L-shaped face - 2 rectangles: A = (12 × 4 + 5 × 4) in.² = 68 in.²
back L-shaped face - same as front L-shaped face: A = 68 in.²
total surface area = (8 + 18 + 24 + 16 + 8 + 10 + 68 + 68) in.²
total surface area = 220 in.²
¿Para qué valor de la constante "b" la función real
f(x) = 2bx³ + 2x² − 3 tiene un extremo relativo en x = -1/6
a) b=4
b) b=-4
c) c=-6
d) b=6
e) b=-3
Find the measures of the acute angles.
29.67°
37°
168°
12°
What time of day is represented by the figure below? Recall that the rotation of the Earth is counterclockwise.
A. just before sunrise
B. just after sunrise
C. just before sunset
D. just after sunset
Answer:
D
Step-by-step explanation:
The coordinates of rectangle PQRS are P(1,6), Q(1,2), R(9,2), and S(9,6). Show that the diagonals are equal in length
Yes, Both diagonal are equal in length with √ 80 units.
We have to given that;
The coordinates of rectangle PQRS are P(1, 6), Q(1, 2), R(9, 2), and S(9, 6).
Hence, The length of diagonal are PR and QS.
Since, We know that;
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, Length of PR is,
PR = √ (x₂ - x₁)² + (y₂ - y₁)²
PR = √ (9 - 1)² + (2 - 6)²
PR = √ 64 + 16
PR = √ 80
And, Lenght of QS is,
QS = √ (x₂ - x₁)² + (y₂ - y₁)²
QS = √ (9 - 1)² + (2 - 6)²
QS = √ 64 + 16
QS = √ 80
Thus, Both diagonal are equal in length with √ 80 units.
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The graph represents the closing price per share of stock for a company each day for 28 days. What variable is represented on the horizontal axis? In the first week, was the stock price generally increasing or decreasing? During which period did the closing price of the stock decrease for at least 3 days in a row?
In the graph, the closing price per share of stock for a company is represented each day for 28 days. After analyzing the graph, the variable which is represented on the horizontal axis is days and the stock price generally increasing in the first week. The closing price of the stock decrease for at least 3 days in a row during day 7 to day 10.
The graph represents the closing price per share of stock for a company each day for 28 days. That's the number of days in the first week. So days is the variable represented in the horizontal axis.
In the first seven days, the graph is basically going up, and then it gets slower and then it's going up. So it's increasing the entire time. Not at the same rate, but it's increasing.
From day 7 to day 10, the closing price of the stock was decreasing three days in a row.
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What is the percentage equivalent to 16 over 40?
Answer:
16/40 = 40%
Step-by-step explanation:
I divided 16/40 and got 0.4,
To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.
What is this expression in simplified form?
✔-1, 728
O A. -12
OB. -36
O C.
-42
OD. -576
