if the random variable z has a standard normal distribution then p(1.17 ≤ z ≤ 2.26) is

The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.

The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.

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Answer:

-6.67 im pretty sure

Step-by-step explanation:

4+5=9

9-6=3

3/7=0.43

0.43-7=-6.67

the calculator says sum else but like who cares right? lol

Answer:

-4 6/7

Step-by-step explanation:

4+5-6/7*8-7

Multiply and divide from left to right

4+5-48/7-7

Add and subtract from left to right

9 - 48/7 - 7

Rearrange the order

9-7-48/7

2 - 48/7

Get a common denominator

14/7-48/7

-34/7

-4 6/7

Answer:

208.7

Step-by-step explanation:

 510.75

- 302.05

= 208 .70

.

∑ Hey, avsofia10 ⊃

Answer:

208.7

Step-by-step explanation:

Given:

\(510.75-302.05\)

Solve:

\(\mathrm{line\:up\:the\:decimal\:points}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textb\end{matrix}}\)

\(\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{0}\end{matrix}}\)                                                \(\mathrm{[5-5=0]}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&\textbf{7}&5\\ -&3&0&2&.&\textbf{0}&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{7}&0\end{matrix}}\)                                                \(\mathrm{[7-0=7]}\)

\(\mathrm{Place\:the\:decimal\:point}\)

\(\frac{\begin{matrix}\:\:&5&1&0&\textbf{.}&7&5\\ -&3&0&2&\textbf{.}&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{.}&7&0\end{matrix}}\)

\(\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number \:therefore\:borrow\:a\:digit\:from\:the\:left.}\)

\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&0&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{\:\:}&\:\:&\:\:&7&0\end{matrix}}\)

\(\frac{\begin{matrix}\:\:&\:\:&0&\textbf{10}&\:\:&\:\:&\:\:\\ \:\:&5&\linethrough{1}&\textbf{\linethrough{0}}&.&7&5\\ -&3&0&\textbf{2}&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{8}&.&7&0\end{matrix}}\)                                             \(\mathrm{[10-2=8]}\)

\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&\linethrough{0}&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{0}&8&.&7&0\end{matrix}}\)                                             \(\mathrm{[0-0=0]}\)

\(\frac{\begin{matrix}\:\:&\textbf{\:\:}&0&10&\:\:&\:\:&\:\:\\ \:\:&\textbf{5}&\linethrough{1}&\linethrough{0}&.&7&5\\ -&\textbf{3}&0&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\textbf{2}&0&8&.&7&0\end{matrix}}\)                                           \(\mathrm{[5-3=2]}\)

\(=208.7\)

\(\mathrm{Hence, 510.75-302.05=208.7}\)

xcookiex12

8/17/2022

Step-by-step explanation:

Basically, first compare exponents of the same variables, then subtract the smaller exponent from the bigger exponent and move the variable to the place of the bigger exponent (e.g., (a^2 * b)/a^9 = b/a^(9-2) = b/a^7)

(a^5 * b^6)/(a^2 * b^3)

a^3 * b^3 <— answer

Step-by-step explanation:

Hey there!!!

Simply use distance formula to find the distance between two points.

The given points are; A (5,8) and B (-2,3).

Using distance formula.

\(d= \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)

Put all values.

\(d = \sqrt{ {( - 2 - 5)}^{2} + {(3 - 8)}^{2} } \)

Simplify them.

\(d = \sqrt{ {( - 7)}^{2} + ( { - 5)}^{2} } \)

\(d = \sqrt{49 + 25} \)

\(d = \sqrt{74} \)

Therefore the distance between two points is 8.602units Or 9 units.

Hope it helps....

The distance between the two coordinate points is √74

Distance is the length between two coordinates in an x-y plane.

To calculate the distance between the two points, we use the formula below.

Formula:

From the question,

Given:

Substitute these values into equation 1

Hence, the distance between the two co-ordinate points is √74.

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Answer:

B

Step-by-step explanation:

using the addition identity for sine

sin(A + B) = sinAcosB + cosAsinB

using the sine and cosine ratios in the right triangle

sinABC = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{4}{5}\)

cosABC = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{3}{5}\)

using the exact values

sin60° = \(\frac{\sqrt{3} }{2}\) , cos60° = \(\frac{1}{2}\)

Then

sin(ABC + 60)

= sinABC cos60 + cosABC sin60

= ( \(\frac{4}{5}\) × \(\frac{1}{2}\) ) + (\(\frac{3}{5}\) × \(\frac{\sqrt{3} }{2}\) )

= \(\frac{4}{10}\) + \(\frac{3}{10}\) \(\sqrt{3}\)

= \(\frac{2}{5}\) + \(\frac{3}{10}\) \(\sqrt{3}\)

sin<ABc

cos<ABC

Now

We need a sample size of at least 62 to detect the alternative hypothesis with power of at least 0.80 at a 5% significance level.

To answer this question, we need to use power analysis. Power is the probability of rejecting the null hypothesis when it is false. In this case, the null hypothesis is m = 0 and the alternative hypothesis is m > 0. We want to detect the alternative hypothesis with power of at least 0.80 at a 5% significance level.

Assuming that s is 20 and we want to detect the alternative m > 4, we can use the following formula to calculate the sample size:

n = (Zα/2 + Zβ)² * σ² / δ²

where:
- Zα/2 is the critical value for the significance level α/2 (α = 0.05, so Zα/2 = 1.96)
- Zβ is the critical value for the power (power = 0.80, so Zβ = 0.84)
- σ is the standard deviation (σ = 20)
- δ is the difference between the null hypothesis and the alternative hypothesis (δ = 4)

Substituting these values into the formula, we get:

n = (1.96 + 0.84)² * 20² / 4²
n = 61.61

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Since Tony is self-employed, he will have to pay all of the tax himself.

Take his adjusted earnings times the tax rate

58238.74 * 2.9%

58238.74 * .029

1688.92346

Rounding to the nearest cent

1688.92

Solution

A standard deck of cards has 4 suits: Hearts, Clubs, Spades, and Diamonds

Each suite contains an ace, 2, 3, 4,5,6,7,8,9,10, jack, queen, and king, a total of 13 cards

Therefore a standard pack of cards has 4 x13 cards = 52 cards/elements

An expression for probability is

The question requires us to find the probability of picking an Ace or a Club

No of Aces = 4 across all the suits

No of Clubs = 4 across all suits

Total number of cards = 52

The probability of picking an Ace or a Club is

Answer = 2/13

Answer:

37

Step-by-step explanation:

The units digit of a number is 4 more than the tens digit.

If the digits are reversed the new number is 1 less than twice the original number.

Use a system of equations and substitution to find the number.

Answer:

Y= 1/7x + 2/7

Step-by-step explanation:

2/7 equals to b

Hope this helps.. :)

Step-by-step explanation:

monthly interest rate calculation example convert the annual rate from a percent of a decimal by dividing by 100 / 100 is equal to 0.10.9 divide that number 12 to get monthly interest rate in the decimal forms 0.10 upon 12 is equal to zero zero eight three

Answer:

4.79

Step-by-step explanation:

How to get the mean:

Step 1: Add all numbers together

This was 19.16

Step 2: Divide the total by the amount of things being added (4 because 4 days)

This was 4.79

Hope this helps

The y-intercept of the function f(x) = 2(0.5)^x is 2. This means that the graph of the function intersects the y-axis at the point (0, 2).

To find the y-intercept of the function f(x) = 2(0.5)^x, we need to determine the value of f(x) when x is equal to 0.

Let's substitute x = 0 into the equation:

f(0) = 2(0.5)^0

Since any number raised to the power of 0 is equal to 1, we have:

f(0) = 2(1)

Simplifying further, we get:

f(0) = 2

Therefore, the y-intercept of the function f(x) = 2(0.5)^x is 2. This means that the graph of the function intersects the y-axis at the point (0, 2).

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D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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The average speed for the downhill section must be 20 km/hour

Let's call the average speed for the uphill section "u" and the average speed for the downhill section "d". The total average speed for the 20 km section must be 20 km/hour, so we can set up an equation:

\((10 km / u) + (10 km / d) = 20 km / 20 km/hour\)

We know that the average speed for the uphill section is 12 km/hour, so we can substitute this value into the equation:

\((10 km / 12 km/hour) + (10 km / d) = 20 km / 20 km/hour\)

Simplifying the equation:

\(5/6 + 10/d = 1\)

\(5/6 = 1 - 10/d\)

\(d = 20 km/hour\)

So the average speed for the downhill section must be 20 km/hour in order for the average speed for the entire trip to be 20 km/hour.

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The formula relating the monetary multiplier and the reserve ratio shows that as the monetary multiplier increases, the reserve ratio decreases. If the monetary multiplier is 6, the reserve ratio must be 0.167.

To determine the reserve ratio given the monetary multiplier, we can use the formula:

Monetary Multiplier = 1 / Reserve Ratio

Given that the monetary multiplier is 6, we can substitute this value into the formula:

6 = 1 / Reserve Ratio

To isolate the reserve ratio, we can take the reciprocal of both sides of the equation:

1 / 6 = 1 / (1 / Reserve Ratio)

1 / 6 = Reserve Ratio

Therefore, the reserve ratio must be 1/6 or approximately 0.167.

Among the given options, b) 0.167 represents the correct answer.

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Answer:

2

Step-by-step explanation:

Therefore, Chase ran 49/8 miles each day.

To find out how many miles Chase ran each day, we need to divide the total distance he ran (36 3/4 miles) by the number of days (6 days).

First, let's convert the mixed number into an improper fraction. 36 3/4 is equal to (4 * 36 + 3)/4 = 147/4.

Now, we can divide 147/4 by 6 to find the distance he ran each day:

(147/4) / 6 = 147/4 * 1/6 = (147 * 1) / (4 * 6) = 147/24.

Therefore, Chase ran 147/24 miles each day.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 147 and 24 is 3.

So, dividing 147 and 24 by 3, we get:

147/3 / 24/3 = 49/8.

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Chase ran a total of 36 3/4 miles over six days. To find out how many miles he ran each day, simply divide the total distance (36.75 miles) by the number of days (6). The result is approximately 6.125 miles per day.

To solve this problem, you simply need to divide the total number of miles Chase ran by the total number of days. In this case, Chase ran 36 3/4 miles over six days. To express 36 3/4 as a decimal, convert 3/4 to .75. So, 36 3/4 becomes 36.75 miles.

Now, we can divide the total distance by the total number of days:

36.75 miles ÷ 6 days = 6.125 miles per day. So, Chase ran about 6.125 miles each day.

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Answer:

yes 1/6 is a rational number.

To determine the probability that executives who had been with the company for 6 to 10 years would not accept the other position, we need to calculate the conditional probability.

Let's denote the event "not accepting the other position" as A and the event "having a service time of 6 to 10 years" as B.

From the given information, we know that the number of executives who would not remain (not accept the other position) and had a service time of 6 to 10 years is the minority, but we don't have the exact value. However, we have the information about the number of executives who would remain (accept the other position) in each service time category.

To calculate the conditional probability, we can use the formula:

P(A|B) = P(A and B) / P(B)

We have the information about P(A and B) and P(B) from the given data.

P(A and B) = 5 (number of executives with 6 to 10 years of service who would not remain)

P(B) = 5 (number of executives with 6 to 10 years of service who would remain)

Therefore, the probability that executives who had been with the company for 6 to 10 years would not accept the other position is:

P(A|B) = P(A and B) / P(B) = 5 / 5 = 1

Hence, the probability is 1, or 100%, that executives with 6 to 10 years of service would not accept the other position based on the given information.

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the rate is 60 minutes per day bo will practice the piano.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

the equation m = 60d

The rate is m/d = 60d/d = 60 minutes per day.

Hence, the rate is 60 minutes per day bo will practices the piano.

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Answer: That would be 15ft

Answer: To find slope between two given points:

(y2-y1)/(x2-x1)

Find the difference between the first two points

12-9.5/2-1 = 2.5/1 = 2.5

14.5-12/3-2 = 2.5/1 = 2.5

17-14.5/4-3 = 2.5/1 = 2.5

The rate of change between each point is 2.5

Step-by-step explanation:

Step-by-step explanation:

4x - 3 = 4x + 5

4x - 4x = 5 + 3

0 = 8

x is disappear and 2 both sides are not equal

Answer:

If you subtract 4x from both sides there are different numbers so the equation isn't equal so the equation is impossible

4x-4x=3

4x-4x=5

3≠5

Hope this helps

Step-by-step explanation:

Answer:

-8 and 2

Step-by-step explanation:

Answer: One crate of peaches is $5

Step-by-step explanation:

All you do for this question is divide 125 by 25 gives us 5

Answer:

5

Step-by-step explanation:

Just decide 125 by 25 and get the answer :)

Answer:

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side."

Step-by-step explanation:

The expression cos (125°) - cos 55° cos 35° cos 55° can be written as cos (55°) + cos (55°) cos (35°) cos (55°).

cos (125°) can be rewritten as cos (180° - 125°). Similarly, cos (35°) can be rewritten as cos (180° - 35°). Therefore, the expression can be written as:

cos (180° - 125°) - cos (55°) cos (180° - 35°) cos (55°)

Simplifying further, we have:

cos (55°) - cos (55°) cos (145°) cos (55°)

Since 145° is the supplement of 35°, we can rewrite it as:

cos (55°) - cos (55°) cos (180° - 35°) cos (55°)

Now, cos (180° - 35°) is equal to -cos (35°). Therefore, the expression becomes:

cos (55°) + cos (55°) cos (35°) cos (55°)

Hence, the expression as a function of an acute angle is:

cos (55°) + cos (55°) cos (35°) cos (55°)

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