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Hunter-Best [27]

4 years ago

13

a gallon of water sealant can cover a square deck with an area of 190 square feet. about how long is each side of the deck? roun

d your answer to the nearest foot

1 answer:

RideAnS [48]4 years ago

4 0

If the deck is square then you will need to divide 190 by 4 which equals about 48 feet

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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

shemillie earns $8 per hour at a yogurt store. she receives a 5% raise. What are her new hourly earingings?

Soloha48 [4]

A 5% raise means that you have to find out what 5% of 8 is and then add that to 8:

5/100 * 8 = 40/100 = $0.40

8 + 0.40 = $8.40.

7 0

3 years ago

Read 2 more answers

Dan invests £7600 into his bank account.

Alex787 [66]

Answer: 8512

Step-by-step explanation: if he makes 3% a year more for 4 years we have to add 3%+3%+3%+3%=12% and add it to 7600 so 7600+12%=8512

8 0

3 years ago

The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meter

Mariulka [41]

Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m

Lateral Area Formula :
LA = hP ; height * perimeter
= 3m * (6 + 8 + 10)
= 3m * 24
LA = 72 m²

Surface Area Formula:
SA = 2B + hP : B = area of the base = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²

6 0

3 years ago

Evaluate for M/NP = 10, N = -5, and P = -2

Slav-nsk [51]

Hope this helps you..!!

3 0

3 years ago