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
padilas [110]
3 years ago
13

A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm. What is the hei

ght of the right rectangular prism? Enter your answer in the box. cm
Mathematics
1 answer:
andrezito [222]3 years ago
3 0
<em>If a rectangular prism has a volume of 470.40 cm</em><span><em>³, and the length and width is equal to 6.4 and 9.8, we will find the height by using some inverse operations. We will use the variable h to represent height</em>

<em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• h = 470.40</em>

<em>470.40 ÷ (9.8 x 6.4)</em>
<em>     = 470.40 ÷ 62.72</em>
<em>     = 7.5</em>


<em>Check Answer:</em>
</span><em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• 7.5 = 470.40</em>


<u>Answer: 7.5 cm</u>
You might be interested in
Navy PilotsThe US Navy requires that fighter pilots have heights between 62 inches and78 inches.(a) Find the percentage of women
Zigmanuir [339]

The first part of the question is missing and it says;

Use these parameters: Men's heights are normally distributed with mean 68.6 in. and standard deviation 2.8 in. Women's heights are normally distributed with mean 63.7 in. and standard deviation 2.9 in.

Answer:

A) Percentage of women meeting the height requirement = 72.24%

B) Percentage of men meeting the height requirement = 0.875%

C) Corresponding women's height =67.42 inches while corresponding men's height = 72.19 inches

Step-by-step explanation:

From the question,

For men;

Mean μ = 68.6 in

Standard deviation σ = 2.8 in

For women;

Mean μ = 63.7 in

Standard deviation σ = 2.9 in

Now let's calculate the standardized scores;

The formula is z = (x - μ)/σ

A) For women;

Z = (62 - 63.7)/2.9 = - 0.59

Z = (78 - 63.7)/2.9 = 4.93

The original question cam be framed as;

P(62 < X < 78).

So thus, the probability of only women will take the form of;

P(-0.59 < Z < 4.93) = P(Z<4.93) - P(Z > - 0.59)

From the normal probability table attached, when we interpolate, we'll arrive at P(Z<4.93) = 0.9999996

And P(Z > - 0.59) = 0.277595

Thus;

P(Z<4.93) - P(Z > - 0.59) =0.9999996 - 0.277595 = 0.7224

So, percentage of women meeting the height requirement is 72.24%.

B) For men;

Z = (62 - 68.6)/2.8 = -2.36

Z = (78 - 68.6)/2.8 = 3.36

Thus, the probability of only men will take the form of;

P(-2.36 < Z < 3.36) = P(Z<3.36) - P(Z > - 2.36)

From the normal probability table attached, when we interpolate, we'll arrive at P(Z<3.36) = 0.99961

And P(Z > -2.36) = 0.99086

Thus;

P(Z<3.36) - P(Z > -2.36) 0.99961 - 0.99086 = 0.00875

So, percentage of women meeting the height requirement is 72.24%.

B)For women;

Z = (62 - 63.7)/2.9 = - 0.59

Z = (78 - 63.7)/2.9 = 4.93

The original question cam be framed as;

P(62 < X < 78).

So thus, the probability of only women will take the form of;

P(-0.59 < Z < 4.93) = P(Z<4.93) - P(Z > - 0.59)

From the normal probability table attached, when we interpolate, we'll arrive at P(Z<4.93) = 0.9999996

And P(Z > - 0.59) = 0.277595

Thus;

P(Z<4.93) - P(Z > - 0.59) =0.9999996 - 0.277595 = 0.00875

So, percentage of women meeting the height requirement is 0.875%

C) Since the height requirements are changed to exclude the tallest 10% of men and the shortest10% of women.

For women;

Let's find the z-value with a right-tail of 10%. From the second table i attached ;

invNorm(0.90) = 1.2816

Thus, the corresponding women's height:: x = (1.2816 x 2.9) + 63.7= 67.42 inches

For men;

We have seen that,

invNorm(0.90) = 1.2816

Thus ;

Thus, the corresponding men's height:: x = (1.2816 x 2.8) + 68.6 = 72.19 inches

7 0
3 years ago
HELP ASAPPPPPPPPP ILL MARK BRAINLIEST
pogonyaev

Answer:

the answer would be C

Step-by-step explanation:

the opposite of exponents is square root it

4 0
3 years ago
Read 2 more answers
What is the answer to 56-4
Scilla [17]

Answer:

The answer is 52.

Step-by-step explanation:

Subtract 56 by 4. You'll get 52.

5 0
3 years ago
Read 2 more answers
Kyla used 550 grams of wool to knit a sweater, a hat, and a scarf. For the hat she used 5 times less wool than the sweater and 5
Brrunno [24]
This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
 therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g
5 0
3 years ago
Here is an easy one. Do you knowwww
Gnesinka [82]

Answer:

its a,b,c, or d

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Ali mom is 5 1/2 ft tall his sister is 3 1\3 tall how much taller is his mom
    14·2 answers
  • Can someone help me with this plz
    15·1 answer
  • Which account balance represents a debt that is greater than $20 and less than $30
    5·1 answer
  • u work for a lawn service and need to prepare fertilizer for the day. The directions state that you should mix four ounces of fe
    12·1 answer
  • What is a ratio? i am confused
    13·2 answers
  • What number can u add to π to get a rational number?<br><br> A. 1/π<br> B. 0<br> C. 2<br> D. -π
    14·1 answer
  • What is the quotient of −42 and −6?
    6·2 answers
  • DO NOT ANSWER WITH BITLY LINKS! Find the measure of the arc or central angle indicated. Assume that lines that appear to be diam
    10·1 answer
  • Find angle D if angle B = 50
    5·1 answer
  • The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!