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Answer:

The equation to find the number of students in the

the band will be:  2x - 8= 54

Step-by-step explanation:

Let the number of members in the chorus = x

so the double number of members in the chorus will be = 2x

As Total members in the chorus = 54

As there are 8 fewer than double the  number of students in the chorus than in  the band.  i.e. 2x - 8

Therefore, the equation to find the number of students in the

the band will be:  2x - 8= 54

Answer:

Option c: Fail to reject the null hypothesis at α = 0.10

Step-by-step explanation:

We are given;

Population mean; μ = 70

population standard deviation; σ = 17.32

Sample mean; x¯ = 72.43

Sample size; n = 35

Thus;

Null hypothesis; H0: μ = 70

Alternative hypothesis; Ha: μ > 70

Z-score formula is;

z = (x¯ - μ)/(σ/√n)

z = (72.43 - 70)/(17.32/√35)

z = 2.43/2.9276

z = 0.83

From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.05 and one tailed hypothesis, we have;

P-value ≈ 0.2033

It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.05

Similarly, From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.01 and one tailed hypothesis, we have;

P-value ≈ 0.2033

It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.01

Similarly, From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.10 and one tailed hypothesis, we have;

P-value ≈ 0.2033

It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.10

From the 3 significance values, the correct option is option c. fail to reject the null hypothesis at α = 0.10

Using the z-distribution, it is found that the most accurate statement is:

At the null hypothesis, it is tested if the average spending is not over $70, that is:

[tex]H_0: \mu \leq 70[/tex]

At the alternative hypothesis, it is tested if it is over $70, that is:

[tex]H_1: \mu > 70[/tex].

We have the standard deviation for the population, hence, the z-distribution is used to solve this question.

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are as follows: [tex]\overline{x} = 72.43, \mu = 70, \sigma = 17.32, n = 35[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{72.43 - 70}{\frac{17.32}{\sqrt{35}}}[/tex]

[tex]z = 0.83[/tex]

Using a significance level of [tex]\alpha = 0.1[/tex], the critical value for the right-tailed test, as we are testing if the mean is greater than a value, is [tex]z^{\ast} = 1.28[/tex].

Since for a significance level of 0.1, [tex]z < z^{\ast}[/tex], we fail to reject the null hypothesis at [tex]\alpha = 0.1[/tex], and option c is correct.

You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918

Considering the system of inequalities and its graph, the section of the graph where the actual solution lies is at:

3

Inequality, is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

For the given graph the solution is the point where the shading intersect and the number in this area is 3

Therefore, we conclude that point 3 is the area for the actual solution of the inequality

Learn more about inequality at:

https://brainly.com/question/24372553

#SPJ1

Answer:

(P+20)(p-2)

Step-by-step explanation:

p^2+18p-40

P^2+(20-2)p-40

P^2+20p-2p-40

P(p+20)-2(p+20)

(P+20)(p-2)

Answer:

I'm pretty sure the answer is D.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:0

Step-by-step explanation:

3x^9=3(x-3

We move all terms to the left:

3x^9-(3(x-3)=0

Answer:

1 solution which is infinite solutions

Step-by-step explanation:

There is only one solution to this because if we simplify both sides of the equation, we get 3x-9=3x-9. When we add 9 to both sides we are left with 3x=3x and subtracting 3x from both sides will make the equation 0=0 which is infinite solutions. This is the only answer/solution we can get from this problem

Answer:

80%

Step-by-step explanation:

16 divided by 20

Answer:

Step-by-step explanation:

Answer:

o.90309x^2 + 4.51545x + 12.64326

question:[tex]6^{2}[/tex]x +3y

Answer:

36x + 3y

Answer:

From the picture attached,

There are two parallel lines intersected by three transverse lines.

m∠2 = 98°, m∠3 = 23°, m∠8 = 70°

a). Since ∠1 and ∠2 are linear pairs,

=

  m∠1 + m∠2 = 180°

  m∠1 + 98° = 180°

  m∠1 = 180 - 98

  m∠1 = 82°

b). m∠4 = m∠7 [Corresponding angles]

m∠7 = 180° - (m∠2 + m∠3) [Property of a triangle]  

= 180 - (98 + 23)

= 180 - 121  

= 59°

m∠4 = m∠7 = 59°

c). m∠5 = 180° - (m∠3 + m∠4)

= 180° - (23° + 59°)

= 180° - 82°

= 98°

d). m∠6 = 180° - (m∠7 + m∠8)

= 180° - (59° + 70°)

= 180 - 129

= 51°  

e). m∠7 = 59° [Calculated in part b]

f). m∠9 = 180° - (m∠4 + m∠8) [Property of a triangle]

= 180° - (59 + 70)°

= 180 - 129

= 51°

g). m∠10 = 180° - m∠9

= 180 - 51

= 129°

Answer:

y>(line under >) - 4/5x + 8

Step-by-step explanation:

Phrase "at least" indicates that the total number of pies is greater than or equal to 120.

The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.

Use this information to create the inequality:

12x + 15y >(line under >) 120

Simplify by solving for y to get this inequality:

y >(line under >) - 4/5x + 8

Answer:

The graph of the linear function f(x) has a slope of − 4/3 and a y-intercept of −2.

An equation for f(x) is =

[tex]y = mx + b \\ y =- \frac{4}{3} x - 2[/tex]

Answer:

128

Step-by-step explanation:just go cheat ok thank you

Answer:

1378.54

Step-by-step explanation:

First multiply 12 by 4. You get 48 then divide it by 2 and You get 24. divide 33085 by 24 and you get 1378.54.

Answer:

x = 5/11

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Sample space = {1, 2 , 3 , 4 , 5, 6, 7, 8, 9, 10}

Answer:

0.222 (repeated)

Step-by-step explanation:

Fractions are essentially another way to write a division expression.

This means that if a/b, then it can also be written as a÷b. (a and b are variables)

So, 2/9 is the same thing as 2÷9.

You can then calculate 2÷9 using a calculator, long division, or any other way you usually solve questions involving division.

Answer:

Step-by-step explanation:

3/8 = 0.375

1/2 = 0.5

0.375 ÷ 0.5 = 0.75

3/8 ÷ 1/2 = 3/4

Hope this helps! <3

Answer:

60

Step-by-step explanation:

If Olivia typed 2 pages in 12 minutes, this means that she can type 1 page in 6 minutes. Since we're looking for the amount of time it would take her to type 10 pages, we multiply 6 by 10 to get 60.

Answer:

60 minutes

Step-by-step explanation:

if Olivia writes 2 pages in 12 minutes that means she writes 1 page in 6 minutes. 6 minutes per page times 10 pages equals 60 minutes for 10 pages.

Answer:

(j + s) /2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(From left to right) negative, negative, positive, positive, negative, positive, negative, positive

slope = (4 - 1)/(3 + 6) = 3/9 = 1/3

y = mx + b

b = y - mx

b = 1 - 1/3(-6)

b = 1 + 2

b = 3

equation

y = 1/3x + 3

answer

C: y= 1/3x + 3

Answer:

To my calculations, I think its the first one, 4+2=2+4

I hope this helps! ^^

Apologizes if you get it wrong-

Step-by-step explanation:

Answer:

y= -1.4x-6.6

Step-by-step explanation:

(1,-8)

7x+5y=-7

Make the equation into standard form

Subtract 7x from both sides

5y=-7x-7

Divide all by 5

y=-1.4x-1.4

Since they are parrallel, we know the slope is -1.4x

y=-1.4x+b

(1,-8) is one of the points it goes through

Replace the x and y in the equation for the x and y in the incomplete equation

-8=-1.4+b

Add 1.4 to both sides

-6.6=b

Thus the equation is

y=-1.4x-6.6