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3 years ago

Question 78 find the value of x

Mathematics

1 answer:

gladu [14]3 years ago

5 0

For this case we have that by definition, the volume of a parallelepiped is given by:

$V = l * w * h$

Where:

l: It's the long

w: It is the width

h: It's the height

From the figure we have the following data:

$V = 975 \ ft ^ 3\\h = 9 \ ft\\w = 4ft\\x =?$

We must find the value of the length of the parallelepiped:

$975 = x * 4 * 9\\975 = 36x\\x = \frac {975} {36}\\x = 27.083$

Answer:

$x = 27.1 \ ft$

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Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted

Basile [38]

Answer: We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.05$

Sample size : n= 52 , which is a large sample (n>30), so we use z-test.

By using z-value table,

Critical value: $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}= 34.55$

Standard deviation : $\sigma= 20.12$

The confidence interval for population means is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $34.55\pm(1.96)\dfrac{ 20.12}{\sqrt{52}}$

$=34.55\pm5.46867829455\\\\\approx34.55\pm5.4687\\\\=(34.55-5.4687, 34.55+5.4687)=(29.0813,\ 40.0187)$

Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)

Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

7 0

3 years ago

Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen

lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = $\frac{1}{2}$

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = $\frac{^xC_2}{^nC_2}$ = $\frac{1}{2}$

also,

$^nC_r$ = $\frac{n!r!}{(n-r)!}$

thus,

$\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}}$ = $\frac{1}{2}$

$\frac{x(x-1)}{n(n-1)}$ = $\frac{1}{2}$

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

2(3)(3-1) = 4(4-1)

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0

3 years ago

Find the value of x.<br> 5<br> X<br> 11<br> y

katrin [286]

The value of the variable is 4√5. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The similar triangles are shown in the diagram.

16 / x = x / 5

x² = 16 × 5

x = 4 √5

Then the value of the variable is 4√5.

Then the correct option is C.

More about the triangle link is given below.

brainly.com/question/25813512

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8 0

2 years ago

Write each term as a power of 4 and write the next three terms of the sequence 256, 64, 16 , 4

faust18 [17]

$4^{4}$ , $4^{3}$ , 4², $4^{1}$

continuing the sequence, the next three terms will be

$4^{0}$ , $4^{- 1}$ , $4^{- 2}$

the sequence is 256, 64, 16, 4, 1, $\frac{1}{4}$ , $\frac{1}{16}$

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3 years ago

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BabaBlast [244]

Answer:

Step-by-step explanation:

1/2x1x2

8 0

2 years ago