the phone calls to a computer software help desk occur at a rate of 3 per minute in the afternoon. compute the probability that the number of calls between 2:00 pm and 2:10 pm is: (a) exactly 25. (b) more than 25.

Answer:

X= 567890

Step-by-step explanation:

Answer:

See below, please.

Step-by-step explanation:

Using the zero product property, we can set each factor equal to zero and solve for x:

(x² - 9)(x + 4) = 0

(x² - 9) = 0 or (x + 4) = 0

For the first factor, we can factor it further as the difference of squares:

(x + 3)(x - 3) = 0

So, either (x + 3) = 0 or (x - 3) = 0, giving us:

x = -3, x = 3, or x = -4

Therefore, the values of x for which (x² - 9)(x + 4) = 0 are -3, 3, and -4.

Answer:

No, q=15 is not a solution to the inequality.

Step-by-step explanation:

As given, q=15. So, substituting is the best way to solve this problem.

Step 1: Substitute

[tex]\frac{15}{5}=3[/tex]

[tex]15-20=-5[/tex]

Step 2: Substitute values into inequality

[tex]3 < -5[/tex]

Equation is false since 3 is a bigger value than -5.

Hope this helps ya!

Answer:

Step-by-step explanation:

(g * h)(24)

gh*24

24gh

The provided assertion states that is the answer to a inequality 4x - 5 ≥ 7 is x ≥ 3.

In mathematics, "inequality" refers to a connection between two formulas or numbers that is not identical to each other. As a result, disparity results from a lack of balance.

To solve 4x - 5 ≥ 7, we can isolate the variable x by adding 5 to both sides of the inequality:

4x - 5 + 5 ≥ 7 + 5

Simplifying:

4x ≥ 12

Next, we can isolate x by dividing both sides by 4:

4x/4 ≥ 12/4

Simplifying:

x ≥ 3

Therefore, the solution to the inequality 4x - 5 ≥ 7 is x ≥ 3.

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The percentage of 8th graders who send more than 50 texts is 56.15%

Here we want to find the percentage of eight grades who send more than 50 texts, and to get that we need to use the values in the table.

The formula for that percentage is:

P = 100%*(number that send more than 50 texts)/(total number)

On the table we can see that the total number of 8th gradesr is 130, and the number that send more than 50 messages is 73, then the percentage is:

P  = 100%*(73/130)

P = 56.15%

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The length of the altitude drawn to the hypothenuse, WY as required to be determined is; 6.

As evident from the task content, it follows that the length of the altitude, WY drawn to the hypothenuse is to be determined.

Let WY be represented as a;

By observation; it follows that the triangles WXY and WXY are similar triangles.

Hence, the ratio which holds in the figure is;

12 / a = a / 3

Therefore by cross-multiplication, we have that;

a² = 36

a = 6.

Ultimately, the length of the altitude drawn to the hypothenuse is; 6.

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Answer:

-9, -6, -4, -2, 2, 3

Step-by-step explanation:

the higher the negative the lower it is

The probability that the sample mean is greater than 52 is 5.5%.

Given population mean (μ) = 50 and standard deviation (σ) = 10Sample size (n) = 64 Sample mean (X-bar) = 52The formula for finding the probability of a sample mean is greater than a given value is:

P ( X-bar > 52 ) = P ( z > (52-50) / (10/√64) ) = P ( z > 1.6 )The formula for finding the probability of z-score is:

P ( z > 1.6 ) = 1 - P ( z < 1.6 )Now, we need to find the value of P ( z < 1.6 ) from the standard normal distribution table.P ( z < 1.6 ) = 0.9452 (approx)Now, substitute this value in the above equation, we get:

P ( z > 1.6 ) = 1 - 0.9452 = 0.0548 .Therefore, the probability that the sample mean is greater than 52 is 0.0548 or approximately 5.5%.

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Hence, the best descriptors for each scatterplot are identified in the answer.

Scatterplots: Identifying the best descriptors for each scatterplot Here are the scatterplots (a) and (b). a) Scatterplot (a) From the above scatterplot, the best descriptors are: Weak Relationship (There is no strong correlation between the two variables)Linear Relationship (The data points follow a linear pattern)Approximate Relationship (The data points appear to follow an approximate trend)No Relationship (There is no correlation between the two variables) b) Scatterplot (b) From the above scatterplot, the best descriptors are :No Relationship (There is no correlation between the two variables)Moderate Relationship (There is a moderate correlation between the two variables)Deterministic Relationship (The relationship between the variables is deterministic and direct)Strong Relationship (There is a strong correlation between the two variables)

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For the given analogous polygons, in exercise 37 x = 32, y = 18, and in exercise 38, x = 5, y = 166 °.

A polygon is an unrestricted polygonal chain made up of line parts that are connected to produce an area plane figure in figure. The borders or sides of an unrestricted polygonal chain are the individual pieces. The polygon's vertices or corners are the places where two lines meet. A solid polygon's body is its Centre. A polygon is a geometric object with two confines and a limited number of sides. A polygon's sides are made up of pieces of straight lines that are joined end to end. As a result, a polygon's line pieces are appertained to as its sides or edges. Vertex or angles relate to the crossroad of two-line parts, where an angle is created. Having three edges makes a triangle apolygon.What's a commen surable relationship? Proportional connections are connections between two variables where their rates are original. Another way to suppose about them is that, in a commensurable relationship, one variable is always a constant value times the other. That constant is known as the" constant of proportionality".

In the given question.

for exercise 37,[tex]39/(x-6)=27/y=24/1839/(x-6) =24/18=3/2[/tex]

on solving,[tex]3x-18= 78x=3227/y=3/23x=54y=18[/tex]

For exercise 38on comparing,[tex]x=5y-73=360-(61+116+90)y-73=93y=166degree[/tex]

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To balance the equation, the right side of the equation must also change by 4%.

What is equation?

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equals sign (=)

To balance the exchange equation, the percentage change on the left side of the equation [tex](\% \triangle M + \% \triangle V)[/tex] must equal the percentage change on the right side of the equation [tex](\% \triangle P + \% \triangle Q)[/tex].

Given that there has been a 3% change in the money supply [tex](\% \triangle M)[/tex] and a 1% change in velocity [tex](\% \triangle V)[/tex], the left side of the equation can be written as:

[tex]\%\triangle M + \%\triangle V = 3\% + 1\% = 4\%[/tex]

To balance the equation, the right side of the equation must also change by 4%. Therefore, the correct answer is:

B. 4%

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The price per foot of the 2-yard rope is $6.36.

To find the price per foot of the 2-yard rope, we need to first convert the length to feet. Since there are 3 feet in a yard, a 2-yard rope is equal to 6 feet.

Next, we divide the total cost of the rope ($22.86) by the length of the rope in feet (6 feet) to get the price per foot:

$22.86 ÷ 6 = $3.81 per yard

To convert this to the price per foot, we divide $3.81 by 3 (since there are 3 feet in a yard):

$3.81 ÷ 3 = $1.27 per foot

Therefore, the price per foot of the 2-yard rope is $1.27 x 5 = $6.36.

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Kevin has 0.49 miles, or approximately 0.5 miles, left to hike in order to complete the trail.

Kevin has hiked 90% of the trail, which means he still has to hike 10% of the trail to complete it. To find out how many miles he has left to hike, we can use the proportion:

10/100 = x/4.9

where x represents the number of miles Kevin has left to hike.

To solve for x, we can cross-multiply and simplify:

10 * 4.9 = 100x

49 = 100x

x = 49/100

x = 0.49

Therefore, Kevin has 0.49 miles, or approximately 0.5 miles, left to hike in order to complete the trail.

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Complete Question:

Kevin is hiking on a trail that is 4. 9 miles long. So far, he has hiked 90% of the total distance. How many more miles does Kevin have to hike in order to complete the trail?

The two cars are 10 miles apart, measured in a straight line.

We can use the Pythagorean theorem to find the distance between the two cars. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's imagine that the cars have traveled for some time, forming a right triangle where the distance between them is the hypotenuse. The northbound car has traveled 6 miles, which corresponds to the length of one of the legs of the triangle. The eastbound car has traveled 8 miles, which corresponds to the length of the other leg of the triangle. Therefore, the distance between the two cars is

distance = √(6² + 8²) = √(36 + 64) = √100 = 10 miles

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If john paul is 6 years older than Angelina and in 9 years the sum of their ages will be 86, then John Paul is 35 years old now.

Let's assume Angelina's current age to be x years old. Then, according to the given information, John Paul's current age would be (x + 6) years old.

In 9 years, the sum of their ages will be 86, which means that (x + 9) + (x + 6 + 9) = 86.

Simplifying the equation, we get 2x + 24 = 86.

Solving for x, we get x = 31.

Therefore, John Paul's current age would be x + 6 = 31 + 6 = 35 years old.

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For the rectangle, the value x will be 14 and angle UDK will be 35°.

What exactly is a rectangle?

A rectangle is a four-sided polygon with four right angles (90-degree angles). It has opposite sides that are equal in length and parallel to each other. The rectangle is a special case of a parallelogram, where the opposite sides are also parallel. The two sides that are equal in length are called the "width" or "short side", while the other two sides are called the "length" or "long side". The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding the lengths of all four sides.

Now,

As we know all angles of a triangle are 90°.

then 5x-15+2x+7=90

7x=98

x=14

and in triangle UDK

sum of all angles = 180°

∠UDK+90+5x-15=180

∠UDK=180-145

∠UDK=35°

Hence,

           the value x will be 14 and angle UDK will be 35°.

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The value of x in the right triangle when calculated is approximately 13.8 units

Given the right-angled triangle

The side length x can be calculated using the following sine ratio

So, we have

sin(39) = x/22

To find x, we can use the fact that sin(39 degrees) = x/22 and solve for x.

First, we can use a calculator to find the value of sin(39 degrees), which is approximately 0.6293.

Then, we can set up the equation:

0.6293 = x/22

To solve for x, we can multiply both sides by 22:

0.6293 * 22 = x

13.8446 = x

Rewrite as

x = 13.8446

Approximate the value of x

x = 13.8

Therefore, x is approximately 13.8 in the triangle

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the correct equation to find x, the measure of angle M in AAMP is: [tex]x = 149[/tex]. Thus, option C is correct.

To find the value of x, we need to know the angles of triangle AMP.

Assuming that AAMP is a quadrilateral, we know that the sum of its angles is   [tex]360[/tex] degrees.

Thus, we can write:

Angle AMP + Angle M + Angle A [tex]= 360[/tex]

We know that Angle AMP is  [tex]180 - 95 - 54 = 31[/tex]  degrees (since the sum of the angles in triangle AMB is 180 degrees, and we are given that Angle BAM = 95 degrees and Angle ABM = 54 degrees).

Substituting this value and the given value of Angle A (which is 180 degrees) into the equation above, we can solve for Angle M:

[tex]31 + Angle M + 180 = 360[/tex]

Angle   [tex]M = 149[/tex] degrees

Therefore, the correct equation to find x, the measure of angle M in AAMP is: [tex]x = 149[/tex]

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Answer:

There are a total of 143 + 62 = 205 people coming to the party.

To calculate the number of tables needed, we divide the total number of people by the number of people per table:

205 ÷ 15 = 13 with a remainder of 10

Since we can't have a fraction of a table, we need to round up to the nearest whole number, which means the Saad family will need 14 tables for all guests.

2= 2

4=10

i cant see 6 or 8

The probability of being able to toast at least 7 pieces of bread before the toaster catches on fire and destroys itself is approximately 0.0128

We can approach this problem using the negative binomial distribution, which models the number of successful trials (toasting without the toaster catching on fire) before a specified number of failures (the toaster catching on fire and destroying itself) occur.

Let X be the number of successful toasting trials before the toaster catches on fire and destroys itself. We want to find P(X ≥ 7), the probability that at least 7 pieces of bread can be toasted before the toaster is destroyed.

The negative binomial distribution can be expressed as

P(X = k) = (k+r-1)C(r-1) × p^r × (1-p)^k

where r is the number of failures (the toaster catching on fire and destroying itself), p is the probability of success (toasting without the toaster catching on fire), and (k+r-1)C(r-1) is a combination factor that represents the number of ways to arrange k successes and r-1 failures in a sequence.

In this case, r = 1 (we want to know the probability of the first failure occurring after at least 7 successes), p = 0.75 (the probability of successfully toasting a piece of bread), and we want to find P(X ≥ 7).

P(X ≥ 7) = 1 - P(X < 7)

= 1 - Σ[k=0 to 6] (k+1) × p × (1-p)^k

≈ 0.0128

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The given question is incomplete, the complete question is:

I bought a cheap toaster. Every time I use it there is a chance that it will catch on fire with

probability p = 0.25, burn my toast, and destroy itself. But with probability (1 − p) it makes

perfect toast!

What is the probability I put at least 7 pieces of bread into my cheap toaster before it

destroys itself?

The subtraction of the polynomials (3.1x + 2.8z) - (4.3x - 1.2z) is -1.2x + 4x

A polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.

(3.1x + 2.8z) - (4.3x - 1.2z)

open parenthesis

3.1x + 2.8z - 4.3x + 1.2z

combine like terms

3.1x - 4.3x + 2.8z + 1.2z

-1.2x + 4x

Ultimately, -1.2x + 4x is the results of the subtraction of the polynomial.

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∠1 + ∠2 = 180

Substituting the given expressions for ∠1 and ∠2:

8x + (2x - 3) = 180

Simplifying and solving for x:

10x - 3 = 180

10x = 183

x = 18.3

Now we can substitute x back into the expression for ∠1 to find its measure:

∠1 = 8x = 8(18.3) = 146.4 degrees.

Therefore, if ∠1 and ∠2 add up to 180 degrees and ∠1 is given as 8x° and ∠2 is given as (2x - 3)°, then ∠1 measures 146.4 degrees

Answer:

<1=146.4

<2=34.6

Step-by-step explanation:

<1+<2=180 degrees

So,

8x+(2x-3)=180

10x-3=180

10x=183

X=18.3

subsitute:

<1=8x

<1=8(18.3)

<1=146.4

<2=2x-3

<2=2(18.3)-3

<2=34.6

Answer: 3.6

Step-by-step explanation:

It's 3.6, hope it helped! :D

Extrapolation is a useful tool for predicting future values based on past data

Bethany used a method of predicting future values from past values known as extrapolation. Extrapolation is a powerful tool for predicting future values, but it is important to remember that it only works if the underlying trend in the data does not change. In Bethany's case, she is making an assumption that her income over the next 10 years will follow the same trend as it did in the past 5 years.

In extrapolation, the assumption is that the data points that were observed in the past will continue in the same direction and with the same intensity into the future. Therefore, extrapolation can be used to make predictions about future values even when no new data points have been collected. It is important to remember, however, that any predictions made using extrapolation are only estimates and may not be accurate.

Extrapolation is used in many different fields, such as finance, economics, medicine, engineering, and even weather forecasting. For example, stock analysts may use extrapolation to make predictions about future stock prices based on past prices. Similarly, meteorologists may use extrapolation to make predictions about future weather conditions based on historical weather data.

Overall, extrapolation is a useful tool for predicting future values based on past data. However, it is important to remember that it only works when the underlying trend in the data does not change. Additionally, any predictions made using extrapolation are only estimates and may not be accurate.

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Answer:

To solve for y, we need to isolate it on one side of the equation. Since there is only one term with y in it, we can begin by isolating that term:

7 + 4 + 25 + 6 = 42

42 + 5y - 2 = 40 + 5y

Subtracting 40 from both sides, we get:

2 + 5y = 5y

Subtracting 5y from both sides, we get:

2 = 0

This is a contradiction, which means that there is no value of y that satisfies the equation. Therefore, the equation has no solution.

Answer:

y= [tex]-\frac{12}{47}[/tex]

Step-by-step explanation:

second attachment

The sample size required is 182 families should be interviewed.

To calculate the number of families that should be interviewed to obtain the desired precision and degree of confidence, one must first determine the minimum sample size required to achieve the desired degree of confidence. As the standard deviation of the sample was computed to be $400 with the mean of $60,000.

Sample size formula: n = (Z² * s²) / E²

The formula for the degree of confidence: Z = 2.576

Sample size formula: n = (Z² * s²) / E²

Substituting the values, we get n = (2.576² * $400²) / $90²= 181.49 = 182 families. The sample size required is 182 should be interviewed families.

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a)the ratio of the heights of the pyramids is 5:3. b)the volume of the larger pyramid is 23.04 cm³.

what is volume  ?

Volume is a measure of the amount of space that a three-dimensional object occupies. It is usually measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³). The volume of an object can be calculated using different formulas depending on its shape.

In the given question,

a. Let the height of the smaller pyramid be h₁ and the height of the larger pyramid be h₂. Since the two pyramids are similar, their corresponding linear dimensions are in the same ratio as the areas of their bases. Therefore, we have:

(base area of smaller pyramid)/(base area of larger pyramid) = (linear dimension of smaller pyramid)² / (linear dimension of larger pyramid)²

Since the linear dimension is the height in this case, we can substitute the given ratio of the base areas to obtain:

25/9 = (h₁/h₂)²

Taking the square root of both sides, we get:

h₁/h₂ = 5/3

Therefore, the ratio of the heights of the pyramids is 5:3.

b. Since the volume of a pyramid is proportional to the cube of its height, we have:

(volume of smaller pyramid) / (volume of larger pyramid) = (h₁/h₂)³ = (5/3)³ = 125/27

Substituting the given volume of the smaller pyramid, we get:

108 / (volume of larger pyramid) = 125/27

Solving for the volume of the larger pyramid, we obtain:

volume of larger pyramid = (27/125) * 108 = 23.04 cm³ (rounded to two decimal places)

Therefore, the volume of the larger pyramid is 23.04 cm³.

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Answer: 3.9b−2.6

Step-by-step explanation: Hope this helps

Answer:

1.3b

Step-by-step explanation:

The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.

Sorry, this explanation isn't the best. Hope it helped! :)

The probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.

The question asks us to calculate the probability that the person is actually innocent given that they have failed the test. The probability that the person is actually innocent is given by the formula: P(innocent | fails test) = P(innocent and fails test) / P(fails test).

Now we need to calculate the values of the probabilities on the right-hand side of this equation. P(fails test) is equal to the sum of the probabilities that a guilty person fails the test and that an innocent person fails the test. Hence, P(fails test) = P(guilty and fails test) + P(innocent and fails test). P(guilty and fails test) = 0.2 × 0.7 = 0.14P(innocent and fails test) = 0.8 × 0.15 = 0.12. Therefore, P(fails test) = 0.14 + 0.12 = 0.26.

Finally, we can calculate the probability that the person is actually innocent given that they have failed the test: P(innocent | fails test) = P(innocent and fails test) / P(fails test)= 0.12 / 0.26= 0.4615 (rounded to four decimal places).

Therefore, the probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.

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