There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!

Answer:

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Step-by-step explanation:

The population follows a binomial distribution, and the fact that

p₀ = 1205/32600 = 0,03696       and then q₀  = 1-0,03696 = 0,9630

And both

p₀*n = 0,03696*32600 = 1205 > 10

q₀*n = 31395 > 10

The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.

Therefore:

Hypothesis Test                    H₀    ⇒    p₀ = p

Alternative Hypothesis        Hₐ   ⇒     p₀ > p

p is the population proportion mean

p = 1/88  =  0,011

We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %

CI = 95 %     α = 5 %    α = 0,05    

Critical value for 0,05  is from z-table  z(c) = 1,64

We compute z(s)

z(s) =( p₀ - p )/ √ p₀*q₀/n

z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600

z(s) =  0,02596* 180,55/ √ 0,0356

z(s) = 4,687 / 0,189

z(s) = 24,9

Comparing  z(s) and z(c)   24,9 > 1, 64

z(s) is out of the acceptance region and we have to reject H₀

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Answer:

1.81

2.2^7

3. 4^5

4. 2^9

5. 1

6. 4^5

7. 6

8. 3^8

9. 15^0

10. 2^3

11. 3^2

12. 216

13.  5^3

14. 225

15. 343

16. 11^2

17. 625

18. 5^4

19. 169

20. 10^4

Step-by-step explanation:

Answer:

$8.64

Step-by-step explanation:

Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.

9514 1404 393

Answer:

  p = (1, 2)

Step-by-step explanation:

We want ...

  (p -a)/(b -p) = 1/2

  2(p -a) = b -p . . . . . cross multiply

  3p = b +2a . . . .. . . rearrange

  p = (b +2a)/3

  p = ((7, -2) +2(-2, 4))/3 = (7 -4, -2 +8)/3 = (3, 6)/3

  p = (1, 2)

95 households have electricity bills of less than $200. Option C is correct.

Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) =  [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) =  (200 - 245)/55
                = --45/5
                = -0.818181
p < 200 = 0.206 (from z table)

Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95

Thus, 95 number of household have electricity bills of less than $200. Option C is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

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Explanation:

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graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0

Answer:

0.50 or 0.5

Step-by-step explanation:

Answer:

1/2= 0.5  2/4=0.5

The reason for this is because both questions are half a fraction, so both of them would be half a decimal  

Step-by-step explanation:

Answer:

The complete table will be:

x        y

1        5

0.8    4

0.4    2

Step-by-step explanation:

Given rule is:

y = 5x

In the given rule, x is multiplied by 5 to get the values of y. The same rule can be manipulated to find the value of x in terms of y.

[tex]\frac{y}{5} = \frac{5x}{5}\\x = \frac{y}{5}[/tex]

Putting y = 5

[tex]x = \frac{y}{5}\\x = \frac{5}{5}\\x = 1[/tex]

Putting y = 4

[tex]x = \frac{y}{5}\\x = \frac{4}{5}\\x = 0.8[/tex]

Putting y = 2

[tex]x = \frac{2}{5}\\x = 0.4[/tex]

Hence,

The complete table will be:

x        y

1        5

0.8    4

0.4    2

Answer:

x = 171.16 - 5.8

x = 165.36

please give me brainlist

Step-by-step explanation:

Answer:

165.36 is Pete's height

Step-by-step explanation

You have to subtract 5.8 by 171.16 and that will be Pete's height.

Answer:

rational

Step-by-step explanation:

it can express as a ratio of two numbers, therefore it is rational. it wouldn't be rational if it was for example 0.333333 that goes on forever.

Answer:

I would say B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation

they answer would be a whole number because you are multiplying by one thousand

Using the principle of proportionality, the number of nails that will be produced by 1 machine in 1 hour is [tex] 21 \frac{3}{5} \: thousand [/tex]

Let :

Using Principle of variation :

Using a row from the table :

t = 15 ; n = 81/5

3 = (81/5)k / 15

Cross multiply :

3 × 15 = (81/5)k

45 = (81/5)k

Divide both sides by (81/5) to isolate k

(45 ÷ 81/5) = k

k = (45 × 5/81) = 25/9 = 2.7777

Substituting the value of k into the expression:

[tex] m = \frac{\frac{25}{9}n}{t} [/tex]

We can use the expression to obtain, the value of n ; when m = 1 and t = (1 hour = 60 minutes)

[tex] 1 = \frac{\frac{25}{9}n}{60} [/tex]

[tex] 60 = \frac{{25}{9}}{n}[/tex]

Divide both sides by 25/9 to isolate n

[tex] 60 \times \frac{9}{25} = n [/tex]

[tex] n = \frac{540}{25} = 21 \frac{3}{5} \: thousand \: nails [/tex]

Learn more :https://brainly.com/question/13218948

Answer:

This question is incomplete

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

cause 63 divided by 21 is 3.

Answer:

21 * 3 = 63

Step-by-step explanation:

Answer:

39% , 0.39 , 39/100

Step-by-step explanation:

I thought your randomness of letters was your question lol. Hope this helps though!

Answer:

2 feet, 2.3 feet, 2.25 feet, and 16 feet

Answer:

(2,-1)

Step-by-step explanation:

hope i helped <3

Answer:

(2,-1)

Step-by-step explanation:

That is the answer becasue the x-axis is 2 and the y-axis is -1

If xy = 1, then differentiating both sides with respect to x gives

x dy/dx + y = 0

(use the product rule)

Solve for dy/dx :

dy/dx = -y/x

Solve the starting equation for y and substitute that into the derivative.

xy = 1   →   y = 1/x

→   dy/dx = -(1/x)/x = -1/x²

There is a typo here. We cannot evaluate the given expression if there is no b and z to replace with the given values. Get it?

Answer:

Can u add pictures of the rest?

Step-by-step explanation:

in the picture will explain the explanation

Answer:

7x12x13=1092

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s c

Answer:

c

Step-by-step explanation:

Answer:

0.15÷5.25 should give u the answer