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3 years ago

5

(PLEASE ANSWER QUICK) Which prisms do Sophia use exactly 18 unit cubes to build? Choose all the correct answers. The options are

: 1 2 3 4 5

1 answer:

creativ13 [48]3 years ago

6 0

Last ones in each row

Step-by-step explanation:

count which figure has 18 cubes

First has 12

2nd one has 24

3rd one has 27

4th one has 18

5th one has 18

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Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two

kari74 [83]

Answer:

The answer is "4.8, 3.84, and 1.96".

Step-by-step explanation:

Given:

$\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\$

By using the binomial distribution:

$\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96$

7 0

3 years ago

At one company a level 1 engineer receives a salary of $45,000 and a level 2 receives a salary of $65,000. The company has a bud

kkurt [141]

Answer:

Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

Step-by-step explanation:

Let the number of engineers for level 1 be x.

Let the number of engineers for level 2 be y.

Given:

Total Number of engineers company can hire = 13

Now Total number of engineers are equal to sum of number of engineers for level 1 and number of engineers for level 2.

Hence Framing in the equation form we get;

$x+y=13 \ \ \ \ equation\ 1$

Also Given:

Salary of level 1 engineers = $45,000

Salary of level 2 engineers = $65,000

Total Budget of Company = $785,000

But Total Budget of Company depends upon the sum of Salary of level 1 engineers multiplied with number of level 1 engineers and Salary of level 2 engineers multiplied with number of level 2 engineers.

Hence equation can be framed as;

$45000x+65000y = 785000$

Dividing by 5000 on both side we get;

$\frac{45000x}{5000}+\frac{65000y}{5000}=\frac{785000}{5000}\\\\9x+13y=157 \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 9 we get;

$9(x+y)=13\times9\\9x+9y= 117 \ \ \ \ equation\ 3$

Now Subtracting equation 3 from equation 2 we get;

$(9x+13y)-(9x-9y)=157-117\\\\9x+13y-9x-9y=40\\\\4y=40\\\\y=\frac{40}{4} =10$

Now Substituting the value of y in equation 1 we get

$x+y=13\\x+10=13\\x=13-10\\x=3$

Hence Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

5 0

4 years ago

The ratio of the number of cupcakes to the number of pastries in a box is 7:2. Witch table shows the possible amount of cupcakes

antoniya [11.8K]

If there were 3 1/2 cupcakes in the box, there would be 1 pastry.
If there are 7 cupcakes in the box, there would be 2 pastries.
If there were 10 1/2 cupcakes in the box, there would be 3 pastries
If there are 14 cupcakes in the box, there would be 4 pastries.
If there were 17 1/2 cupcakes in the box, there would be 5 pastries.
This pattern continues.

6 0

3 years ago

0.32 x 0.49 decimal arithmetic

PSYCHO15rus [73]

Answer:

Count decimals you find 4 of them

mulitply 32*49 =1568

Then from right count 4 decimals you will get your answer

0.1568

<em>If you need more help or explanation you can ask me by commenting on this. </em>

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The interest rates available at three different banks are shown below. Use the info to fill the statements in the blue box. Will

mixas84 [53]

Answer:

1. 1,400

2. 5 years

3. $80

8 0

4 years ago