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3 years ago

If the mean is 4, what is the missing number of the data set: 3, 4, ___, 7, 2, 1.

Mathematics

1 answer:

kodGreya [7K]3 years ago

4 0

Answer:

Step-by-step explanation:

Let the missing number of the data be x.

$\because mean = \frac{3 + 4 + x + 7 + 2 + 1}{6} \\ \\ \therefore 4 = \frac{17 + x }{6} \\ \\ \therefore 4 \times 6 = 17 + x \\ \\ \therefore 24 - 17 = x \\ \\\therefore x = 7$

Thus, the missing number of the data is 7.

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In a rhombus whose side measures 20 and the smaller angle is 38°. Find the length of the larger diagonal, to the nearest tenth.

Lemur [1.5K]

A rhombus diagonals form right angles. The diagonals also cut in half the angles

use cosine: cos38 = $\frac{a}{20\\\\}$

a = 20cos38

a=15.8

4 0

3 years ago

Twice the difference of a number and 16 is the same as three times a number less than 18

Maksim231197 [3]

Answer:

Step-by-step explanation:

Let x be the "number."

"twice the difference of a number and 16" can be written as:

2(x-16)

"is the same as three times a number less than 18" can be written as:

= 3(x<18)

I wonder if this was meant to say "is the same as three times a number less 18," instead of "less than 18." If so, we would have:

=3(x-18)

1. Using the sentence as written: 2(x-16) = 3(x<18)

2. Using the sentence as amended: 2(x-16) = =3(x-18)

Going with this interpretation:

2(x-16) = 3(x-18)

2x - 32 = 3x - 54

x = 22

4 0

2 years ago

According to the line plot, what is the total weight gained by the dogs that gained 1/8 f a pound or 3/4 of a pound?

erik [133]

3 1/8

First you take the all the dogs that gained 3/4 (which is 4)
Then you multiply it by 4

3/4x4=3
Then you add the dogs that gained 1/8 of a pound

3+1/8=3 1/8

4 0

2 years ago

Evaluate the expression for x= 2 and y=4. Enter your answer in the box. 16x + 2x2 - y2

Nostrana [21]

Answer:

Step-by-step explanation:

Step 1: Define

x = 2

y = 4

16x + 2x² - y²

Step 2: Substitute and Evaluate

16(2) + 2(2)² - 4²

32 + 2(4) - 16

16 + 8

8 0

3 years ago

The two right triangular prisms are similar solids.

Zanzabum

Answer:

<h2>The volume of the larger prims is eight times greater than the smaller prism.</h2>

Step-by-step explanation:

If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.

We know the a triangular prims has a volume defined by

$V_{small} =\frac{b \times h_{1} }{2} \times h_{2}$

If we take that formula as the smaller prism, then the larer prism has a volum of

$V_{large} =\frac{2b \times 2h_{1} }{2} \times 2h_{2}=8(\frac{b \times h_{1} \times h_{2} }{2} )$

If we compare, we can deduct that

$V_{large}=8V_{small}$

In words, the volume of the larger prims is eight times greater than the smaller prism.

4 0

3 years ago

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