1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firdavs [7]
3 years ago
12

Write the formula for the volume of a square prism, V = s-h, in terms of h. Then find the height h of a square prism with volume

V = 60 cm and side length s = 6 cm. Height: Cm​

Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Answer:

h = \frac{3V}{s^2}

height (h) = 5 cm

Step-by-step explanation:

Volume of prism in terms of h (height):

V = \frac{1}{3}s^2h

V = \frac{s^2h}{3}

Multiply both sides by 3

V*3 = \frac{s^2h}{3}*3

3V = s^2h

Divide both sides by s^2

\frac{3V}{s^2} = \frac{s^2h}{s^2}

\frac{3V}{s^2} = h

h = \frac{3V}{s^2}

Find height (h) given V = 60 cm³ and side length (s) = 6 cm. Plug the values into the formula above:

h = \frac{3(60)}{6^2}

h = \frac{180}{36}

h = 5

Height = 5 cm

You might be interested in
Find the center of the circle whose equation is (x - 8) 2 + (y + 2) 2 = 64.
SashulF [63]

If given the equation, you need to take the number beside the x and y and change their signs to get your point:

x - 8 (Take the -8 and make it +8)

y + 2 (Take the +2 and make it -2)

Your point is (8, -2)

4 0
3 years ago
Read 2 more answers
Brandon was playing a video game where he scores three points for each treasure he finds. If he found 32 treasures on the first
ratelena [41]

Answer:

300 points

Step-by-step explanation:

32 treasures means he has 32*3 points which is 96 points.

68 treasures means he has 68*3 points which is 204 points.

96+204 is 300

5 0
2 years ago
Suppose a geyser has a mean time between eruptions of 72 minutes. Let the interval of time between the eruptions be normally dis
nikitadnepr [17]

Answer:

(a) The probability that a randomly selected time interval between eruptions is longer than 82 ​minutes is 0.3336.

(b) The probability that a random sample of 13-time intervals between eruptions has a mean longer than 82 ​minutes is 0.0582.

(c) The probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 ​minutes is 0.0055.

(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.

(e) The population mean must be more than 72​, since the probability is so low.

Step-by-step explanation:

We are given that a geyser has a mean time between eruptions of 72 minutes.

Also, the interval of time between the eruptions be normally distributed with a standard deviation of 23 minutes.

(a) Let X = <u><em>the interval of time between the eruptions</em></u>

So, X ~ N(\mu=72, \sigma^{2} =23^{2})

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

Now, the probability that a randomly selected time interval between eruptions is longer than 82 ​minutes is given by = P(X > 82 min)

       P(X > 82 min) = P( \frac{X-\mu}{\sigma} > \frac{82-72}{23} ) = P(Z > 0.43) = 1 - P(Z \leq 0.43)

                                                           = 1 - 0.6664 = <u>0.3336</u>

The above probability is calculated by looking at the value of x = 0.43 in the z table which has an area of 0.6664.

(b) Let \bar X = <u><em>sample mean time between the eruptions</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

           n = sample of time intervals = 13

Now, the probability that a random sample of 13 time intervals between eruptions has a mean longer than 82 ​minutes is given by = P(\bar X > 82 min)

       P(\bar X > 82 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{82-72}{\frac{23}{\sqrt{13} } } ) = P(Z > 1.57) = 1 - P(Z \leq 1.57)

                                                           = 1 - 0.9418 = <u>0.0582</u>

The above probability is calculated by looking at the value of x = 1.57 in the z table which has an area of 0.9418.

(c) Let \bar X = <u><em>sample mean time between the eruptions</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

           n = sample of time intervals = 34

Now, the probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 ​minutes is given by = P(\bar X > 82 min)

       P(\bar X > 82 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{82-72}{\frac{23}{\sqrt{34} } } ) = P(Z > 2.54) = 1 - P(Z \leq 2.54)

                                                           = 1 - 0.9945 = <u>0.0055</u>

The above probability is calculated by looking at the value of x = 2.54 in the z table which has an area of 0.9945.

(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.

(e) If a random sample of 34-time intervals between eruptions has a mean longer than 82 ​minutes, then we conclude that the population mean must be more than 72​, since the probability is so low.

6 0
3 years ago
In your own words, explain the steps you would need to take to find slope from data in a table. Brainly work your magic.
mr_godi [17]

Answer:

In order to find the slope, you need to find the difference in the x values and the difference in the y values. To do this, you write out y2-y1/x2-x1, insert your x and y values, and get your answer. Then, you find your y-intercept (where the x value is 0).

6 0
3 years ago
The circumference is about ___ m <br><br>use 3.14 for pi.​
Juliette [100K]

The circumference is:

14.6 x 3.14 = 45.844 (m)

4 0
3 years ago
Read 2 more answers
Other questions:
  • The big desk in your boss's office is 75 inches long. How long is that in feet?
    10·1 answer
  • Write this number using digits six million, ninety thousand three
    15·2 answers
  • Graph the following y-6=7(x+1)
    9·2 answers
  • Solve for x x-4=-2x+9
    9·1 answer
  • Find the height of a square pier amid that has a volume of 32 ft.³ and a base length of 4 feet
    9·1 answer
  • A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during
    9·2 answers
  • Marley made 80% of what she made last week. If she $72 this week how much did he make last week
    8·2 answers
  • Brainliest for anyone if they get this CORRECT. Check ALL that apply.
    12·1 answer
  • -7X + 9 In the expresion show, which of the following is the variable
    12·2 answers
  • Can someone answer this correclt just need
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!