Two high schools, Jefferson Hills East and Jefferson Hills West are taking field trips to the state capital. A total of 408
students from Jefferson Hills East will be going in 3 vans and 6 buses. A total of 516 students from Jefferson Hills West
will be going in 6 vans and 7 buses. Each van has the same number of passengers and each bus has the same number of
passengers.

A. ​(0.714, 0.826)

Step-by-step explanation:

Given that:

The sample size n = 150

The number of success(sample proportion) x = 115

The population proportion [tex]\hat p[/tex] =  [tex]\dfrac{x}{n}[/tex]

The population proportion [tex]\hat p[/tex] = [tex]\dfrac{115}{150}[/tex]

The population proportion [tex]\hat p[/tex] = 0.767

At 90% confidence interval level;

[tex]Z_{\alpha /2} = Z_{0.05} = 1.645[/tex]

Thus, the confidence interval estimate for the true population proportion can be computed by using the formula:

[tex]=\hat p \ \pm \ z_{\alpha /2} \sqrt{\dfrac{\hat p(1- \hat p)}{n} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(1- 0.767)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(0.233)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.178711}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{.0011914}[/tex]

[tex]= 0.767 \ \pm 1.645 * 0.03452[/tex]

[tex]= 0.767 \ \pm 0.0568[/tex]

= (0.767 - 0.0568,  0.767 + 0.0568)

= (0.7102 , 0.8238 )

Due to approximation;  the confidence interval estimate for the true population proportion  is [tex]\simeq[/tex]  ​(0.714, 0.826)

Answer:

All real numbers are solutions

Step-by-step explanation:

10(x + 1/2) = 3x + 5 + 7x

~Distribute left side

10x + 5 = 3x + 5 + 7x

~Combine like terms

10x + 5 = 10x + 5

~Subtract 5 to both sides

10x = 10x

~Divide 10 to both sides

x = x

~Subtract x to both sides

0 = 0

Best of Luck!

Answer:

good for him

Step-by-step explanation:

Brainliest Plzzz!!!

Answer:

Is this free points? well thx! if u actually need help let me know

Step-by-step explanation:

Brainliest please

Answer:

its 0.05

Step-by-step explanation:

Step-by-step explanation:

let, the age of Jonathan be X and Paolo be X+5,

then,

x+x+5=45

2x=40

x=20

: Therefore the age of Jonathan is 20 and Paolo is 20+5=25.

If Johnathan is 5 years younger than his brother Paolo. The sum of the brothers ages is 47. Then Johnathan is 21 years old.

Two or more expressions with an Equal sign is called as Equation.

Given,

The sum of the brothers ages is 47.

Let the age of Paolo is x

Johnathan is 5 years younger than his brother Paolo

Johnathan age=x-5

As given, sum of the brothers ages is 47.

x+x-5=47

2x-5=47

2x=47+5

2x=52

Divide both sides by 2

x=26

So the age of Paolo is 26 and Jaohnathan age is 26-5=21 years.

Hence Johnathan is 21 years old.

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Answer:

B: Without a physical signature, they can be very difficult to enforce

Step-by-step explanation:

Edge 12/7/2020

Generally, verbal contracts are often discouraged because: B. it is difficult to enforce without a physical signature.

verbal contract, which can also be referred to as a parol contact, is a contract that is expressed by just words of promise or historically, and can be recognized by the courts.

However, unlike written contracts that a signature must be appended to, verbal contract are generally discouraged because: B. it is difficult to enforce without a physical signature.

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Answer:

730.3

Step-by-step explanation:

hope this helps.

Answer:

y=-3/4+7

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

4-7/4-0=

-3/4

and line intercepts at 7

Answer:

182

Step-by-step explanation:

910/5=182

Answer:

4. Probability of being promoted given the officer is a man = 0.3

5. Probability of a promotion given that the officer is a woman = 0.15

Note: The data table is found in the attachment below

Step-by-step explanation:

Probability = number of required outcomes/ number of possible outcomes

4. Probability of being promoted given the officer is a man

Probability of being promoted given the officer is a man = number of men promoted/total number of men

From the table, total number of men = 960

number of men promoted = 288

Probability of being promoted given the officer is a man = 288/960 = 0.3

5.  Probability of a promotion given that the officer is a woman

Probability of a promotion given that the officer is a woman = number of women promoted/total number of women

From the table, total number of women = 240

number of women promoted = 36

Probability of a promotion given that the officer is a woman = 36/240 = 0.15

Answer:

P(x≤14) = 0.556

Step-by-step explanation:

Given:

Probability of throwing a strike (p) = 0.487

Total number of throw (n) = 29

Find:

Probability that no more than 14 of them are strikes P(x≤14)

Computation:

Mean(np) = (29)(0.487)

Mean(np) = 14.123

Standard deviation = √[mean( 1- p)]

Standard deviation = √[14.123( 1 - 0.487)]

Standard deviation = 2.6917  (Approx)

P(X < x) = P[(Z < (x - mean)]/[Standard deviation])

P(x≤14) = P(Z < (14.5 - 14.123) / 2.6917 )

P(x≤14) = 0.556

Answer:

y=25x+55. $55 is a one-time fee while the $25 is per hour

Answer:

the second bubble, [tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]

Answer:

1/6^2

the second one

Step-by-step explanation:

1. replace a with 6:

 6^-2  6 to the power of negative two

2. solve;

when you have something to the power of a negative number, it gets smaller, so think: what is 6^2? (six to the power of two) That is 36. As a fraction, that would be 36/1. Since the 2 is negative, flip it to get 1/36.

1/6^2 and 1/36 are equal since 6^2 = 36

Hope this helps :)

Answer:

The answer is below

Step-by-step explanation:

Let us assume the angle is -π/4.

Coterminal angles are angles that have the same initial side and terminal side. They are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Positive coterminal angles are gotten by adding 360° if the angle is in degrees or 2π for angles in radian while negative coterminal angles are gotten by subtracting 360° if the angle is in degrees or 2π for angles in radian.

Positive coterminal angle = -π/4 + 2π = 7π/4, 7π/4 + 2π = 15π/4

Positive coterminal angle = 7π/4, 15π/4

Negative coterminal angle = -π/4 - 2π = -9π/4, -9π/4 - 2π = -17π/4

Negative coterminal angle = -9π/4, -17π/4

Answer:

The measure of angle F is 78°.

[tex]the \: points \: are: \\ (−1, \: 0) \\ (1, \: 2) \\ (4, \: 2)

\\

Step-by-step \: explanation: \\ \\

f(x) = x + 1 \: ....if \: x < 0 : \iff \: ( - 1, \: 0) \\ if \: x = - 1 \: then \: y = 0\\ \\ f(x) = 2 \: ....if \: 0 . \leqslant x \leqslant 1 :\: \iff( 1, \: 2) \\if \: x = 1\: then \: y = 2. \\ \\ f(x) = x\: ....if \: x > 1 : \: \iff( 2, \: 2) \\ if \: x=2 \: then \: y=x=2.[/tex]

♨Rage♨

Answer:

AB=33, x=6.75

Step-by-step explanation:

In order to solve this equation, draw a line with three points labeled A, B, and C. Then fill out what you know with the given information being AB=4x+6 and BC=72+15, then AC=120. then follow these steps:

Now that we know that x=6.75, follow these steps:

I hope this helps!!!

The solution of the expression is (55z + 6 ) / 20.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that the expression is 3/4(z+2/5)+2z. The expression will be solved as below,

E = 3/4(z+2/5)+2z

E = 3/4( z + 2 / 5 ) + 2z

E = 3/4 ( 5z + 2) / 5 + 2z

E = ( 15z + 6 + 40z ) /20

E = (55z + 6 ) / 20

Therefore, the solution of the expression is (55z + 6 ) / 20.

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Answer:

you need help kd

Step-by-step explanation:

Answer:

10 min.

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

Answer:

Ned lost 14 points.

Step-by-step explanation:

How many points lost: 24 (6*4)

How many points added: 10

He lost 24 points, but gained back 10. So, Ned really only lost 14 points overall.

Answer:

a = (u-2b)/6

Step-by-step explanation:

First get a by itself by subtracting 2b from both sides:

u-2b = 6a

Then isolate the variable by dividing both sides by six:

(u-2b)/6 =a

Answer: C because she went back to im just trying to help the team out

Answer:

(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.

I answer (C) and it was correct.

Step-by-step explanation:

Give the other person brainliest ↑↑

                                                    hope it helps

Answer:12 2/24

If this helped please leave a brainliest it would really help out!

Answer:

18 days

Step-by-step explanation:

2 1/3 just 7/3. Next, divide 42 by 7/3 which is just 42/1 times 3/7 which gives you 18.

Answer:

I think the answer is 25.

Step-by-step explanation:

All you need to do is add up all the numbers

A function f (x) and g (x) then:

(f + g) (x) = x² - x + 6

Further explanation

Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.

Suppose a function f (x) and g (x) then:

(f + g) (x) = f (x) + g (x)

(f + g) (x) is a new function of the sum of f (x) and g (x)

Likewise with other function operations:

(f-g) (x) = f (x) - g (x)

(fg) (x) = f (x) x g (x)

(f / g) (x) = f (x) / g (x)

In addition to the above operations we can combine two functions using the function composition with the symbol o

(fog) (x) = f ((g (x))

Known on the question

f (x) = x² + 1

g (x) = 5 x

Summing the two functions f (x) and g (x):

(f + g) (x) = f (x) + g (x)

(f + g) (x) = x² + 1 + 5 - x

(f + g) (x) = x² - x + 6

Answer:

10

Step-by-step explanation:

I’m joking it actually 5

Answer:

5....?

Step-by-step explanation: