What is the surface area of the prism in square inches

Ivanna received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.31 per pound. After buying th

zzz [600]

the first time in my class or must i forget abt u cos i always indoors and i know ukuthi im not strong so

3 0

3 years ago

A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the i

Lana71 [14]

Answer:

a

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

b

$X^2 = 13.74$

c

The decision rule is

Reject the null hypothesis

d

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

The variance is $\sigma ^2 = 1.9$

The sample size is n = 30

The sample variance is $s^2 = 0.9$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

Generally the test statistics is mathematically represented as

$X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }$

=> $X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }$

=> $X^2 = 13.74$

Generally from the degree of freedom is mathematically represented as

$df = n- 1$

=> $df = 30 - 1$

=> $df = 29$

Generally from the chi distribution table the critical value of $\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}$ at a degree of freedom of $df = 29$ is

$X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7$

=> $X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5$

Gnerally from the values obtained we see that

$X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

6 0

3 years ago

What is the volume of this sphere?

Angelina_Jolie [31]

<h3>given:</h3>

radius= 4 m

the volume of the given sphere.

<h3>solution:</h3>

$v = \frac{4}{3} \pi {r}^{3}$

$v = \frac{4}{3} \times 3.14 \times {4}^{3}$

$v = 267.9466667 \: {m}^{3}$

$v = 267.95 \: {m}^{3}$

therefore, the volume of the given sphere is 267.95 cubic meters.

3 0

2 years ago

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shi

jeka94

Answer:

1, 3, & 5

Step-by-step explanation:

Select three options.

1. The inequality should be written as 25 s less than 300.

2. The inequality should be written as 25 s greater than 300.

3. The circle is open.

4. The circle is closed.

5. The arrow points left.

I'm guessing these are the options? If so, please mark brainliest :)

4 0

3 years ago

Read 2 more answers

Evaluate the polynomial function when H=3 f(h)=4h^3-3h^2+5h-16

tester [92]

Answer:

80

Step-by-step explanation:

f(3)=4(3)^3-3(3)^2+5(3)-16

f(3)=4(3*3*3)-3(3*3)+15-16

f(3)=4(27)-3(9)+15-16

f(3)=108-27+15-16

f(3)=81+15-16

f(3)=96-16

f(3)=80

8 0

3 years ago