All categories

3 years ago

Please help me with this questionplease do fast

Mathematics

1 answer:

OverLord2011 [107]3 years ago

3 0

<h3>(i) Statement :</h3>

<h3>To find the value of 3x^3-9x . We need to evaluate the cube of both sides of the given equality, try to write maximum expressions in terms of x and then try to write the left hand side in the form 3x^3-9x .</h3><h3>(only for Explaination) </h3>

<h3>Steps in Attachment</h3>

You might be interested in

Sara has a stack of 8 plates, each plate is 0.5 inches tall and she is trying to wrap them as a gift.

AlekseyPX

Answer:

The plates will not fit into the box.

Step-by-step explanation:

Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of $0.5in*8 = 4inches$ .

Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.

What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>

The volume of a cylinder is $\pi R^2h$ , and since for our cylindrical box the volume is 150 cubic inches; therefore,

$\pi R^2h = 150in^3$

putting in $R = 5in$ and solving for height $h$ we get

$h = \dfrac{150in^3}{\pi (5)^2}$

$h = 1.91\: inches$ ,

which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.

5 0

4 years ago

Which of the following has 104.0032 in written form?

Oksana_A [137]

One hundred and four point zero zero three two.

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

5 0

2 years ago

Read 2 more answers

A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed re

Norma-Jean [14]

Answer:

A) α = 0.04136

B) β = 0.00256

Step-by-step explanation:

We are given;

Sample size; n = 400

Proportion; p = 60% = 0.6

Formula for mean is;

μ = np

μ = 400 × 0.6 = 240

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.6 = 0.4

σ = √(400 × 0.6 × 0.4)

σ = √96

σ = 9.8

A) our null hypothesis is at p = 0.6

Probability of making a type I error means we reject the null hypothesis when it is true.

This can be expressed in reference to the question as;

α = P(x < 220) + P(x > 260) all at p = 0.6

Now,

P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04

Also;

P(x > 260) = z = (260 - 240)/9.8 = 2.04

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.

Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068

Thus;

α = 0.02068 + 0.02068

α = 0.04136

B) Type II error occurs when we fail to reject the null hypothesis even though it's false.

In this case our alternative hypothesis is at p = 48% = 0.48

Thus;

μ = np

μ = 400 × 0.48 = 192

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.48 = 0.52

σ = √(400 × 0.48 × 0.52)

σ = √99.84

σ = 9.992

Type II error would be given by;

β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]

β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]

β = (2.8 < z > 6.81)

Rearranging this gives us;

β = P(z < 6.81) - P(z < 2.8)

From z-distribution tables, we have;

β = 1 - 0.99744

β = 0.00256

3 0

3 years ago

What would x equal for these two?<br> 15/24 = x/3 & 7/24 = 3/x<br><br> Thank you!!!

vesna_86 [32]

The first one you have $\frac{15}{24}$ = $\frac{x}{3}$ . To solve this you would multiply both sides by 3.

$\frac{45}{24}$ =x

Then simplify by dividing the numerator and denominator by 3.

$\frac{15}{8}$ =x (or in a mixed fraction 1 $\frac{7}{8}$ )

The second one you have $\frac{7}{24}$ = $\frac{3}{x}$ . To solve this you would multiply both sides by x.

$\frac{7}{24}$ x=3

Now you would divide both sides by $\frac{7}{24}$ .

x= $\frac{3}{\frac{7}{24}}$

You now then multiply 3 by 24 and then divide by 7.

$\frac{72}{7}$

x= $\frac{72}{7}$ (in a mixed fraction would be 10 $\frac{2}{7}$ )

6 0

3 years ago

Diana goes on vacation with $260. Each day, she spends the same amount of

Ber [7]

She has 860 dollars after vacation

8 0

3 years ago

Please help me with this question​please do fast

Please help me with this questionplease do fast