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4 years ago

13

The volume of a cube is 125 cubic centimeters. A rectangular prsim with three different whole-numbers dimensions has the same vo

lume. What are the dimensions of the rectangular prism?

1 answer:

pantera1 [17]4 years ago

3 0

Answer:

1 cm , 5 cm, 25 cm

Step-by-step explanation:

125 = 5 x 5 x 5 = 1 x 5 x 25

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I need help please thanks

Snowcat [4.5K]

Answer:

Use Symbolab i think thats how you spell it

Step-by-step explanation:

3 0

3 years ago

In a sample of 200 men, 130 said they wore seatbelts. In a sample of 300 women, 140 said they wore seatbelts. Find a 95% confide

Oduvanchick [21]

Answer: (0.093,0.267)

Step-by-step explanation:

The confidence interval for the difference in proportion is given by :-

$(p_1-p_2)\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : $n_1=200$ ; $n_2=300$

Proportion of men said they wore seatbelts = $p_1=\dfrac{130}{200}=0.65$

Proportion of women said they wore seatbelts = $p_2=\dfrac{140}{300}\approx0.47$

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

Critical value : $z_{\alpha/2}=z_{0.025}=1.96$

Now, the 95% confidence interval for the difference in proportion of men and women who wear seatbelts will be :-

$(0.65-0.47)\pm (1.96)\sqrt{\dfrac{0.65(1-0.65)}{200}+\dfrac{0.47(1-0.47)}{300}}\\\\\approx0.18\pm0.087\\\\=(0.093,0.267)$

Hence, the 95% confidence interval for the difference in proportion of men and women who wear seatbelts = (0.093,0.267)

8 0

4 years ago

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even C(x)=1

natka813 [3]

Consider these specific values of x.

For example, if x=10, then <span>C(10)=16(10)+36,000=160+36,000=36,160 (say $)

and R(10)=18*10=180.

So if only 10 units are produced, the total cost is 36,160, while the revenue is only 180 (again, say $.)

If, for example, x=1000, then we can calculate

</span><span>C(1000)=16*1000+36,000=16,000+36,000=52,000

and

R(1000)=18*1000=18,000.

This suggests that with higher values of x, we can get to a particular point where the Cost and Revenue are the same. To find this point, we set the equation:
C(x)=R(x),

which gives us that particular x at which both </span>C(x) and R(x) give the same value.

Thus, we solve <span>16x+36,000=18x. Subtracting 16x from both sides 2x=36,000, then x = 36,000/2=18,000.

Answer: 18,000

</span>

8 0

4 years ago

2(2x+2)=7x+2-3x+2<br> solve

Ronch [10]

Answer:

All real numbers make this answer true: so x= all real numbers

Step-by-step explanation:

5 0

3 years ago

Nadusha1986 [10]

55° is equal to 0.9599 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.

If an angle is represented in radians, it will be of the form $\frac{\pi}{x}$ radians.

To convert degrees to radians, we multiply the degree measure by $\frac{\pi}{180}$ .

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)( $\frac{\pi}{180}$ ).

Step 2:

To convert 50°,

$55\left(\frac{\pi}{180}\right)=\frac{55\pi}{180}.$

$0.3055 (\pi) =0.9599$ radians.

So 55° is equal to 0.9599 radians.

7 0

3 years ago

Read 2 more answers