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4 years ago

I REALLY DONT GET THIS PLEASE HELP AND EXPLAIN!:)

Mathematics

1 answer:

Svetradugi [14.3K]4 years ago

8 0

So for perimeter you need to find out the total of all the sides. To find out side AB, you make a triangle and find out the hypotenuse.

a=5 and b=6
a square= 25 b square= 36
25+36= 61
Square root of 61 is 7.81

So side AB is 7.81 ft

Now we need to find out side BC.

a=3 and b=4
a square is 9 and b square is 16.
9+16 is 25
Square root of 25 is 5

Side BC is 5 ft.

Because it's a rectangle, side CD will be 7.81 and side DA will be 5.

7.81*2+5*2= 25.62 ft

So the perimeter of the rectangle is 25.62 ft or C.

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A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%

IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

$P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18$

a) P(firm will make at least one hire)

$P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32$

Also,

$P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4$

$\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9$

b) expected value and the standard deviation of the number of hires.

$E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58$

$E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89$

7 0

3 years ago

67,802. the 0 has what place value?

natima [27]

Answer:

the 0 is in the tens place.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling

MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

C. We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2. Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

8 0

3 years ago

What is 162% of 400? Rounded to the nearest hundredth.

finlep [7]

Answer:

648

Step-by-step explanation:

Write 162% as 162 /100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

162 /100 of 400 = 162 /100 × 400

Therefore, the answer is 648

If you are using a calculator, simply enter 162÷100×400 which will give you 648 as the answer

8 0

3 years ago

Read 2 more answers

A consol paying $20 annually when the interest rate is 5 percent has a price of

allsm [11]

Answer: $ 400 .
_________________________
Explanation:
_____________________________________
Note that a "consol" is a "perpetuity".
______________________________________________
To find the "PV" (Present Value) of a perpetuity, we use the equation: PV = C / r = Current value / interest rate

= $20 / (5%) = $20 / (5/100) = $20 / (0.05) = $400 .
___________________________________________________

8 0

3 years ago