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2 years ago

Find the value of x. F) 6m G) 7.5m H) 15m I) 21m

Mathematics

1 answer:

Xelga [282]2 years ago

7 0

Answer:

x = 6 m

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here A = 60, h = 8, a = 9 and b = x , thus

$\frac{1}{2}$ × 8 × (9 + x) = 60, that is

4(9 + x) = 60 ( divide both sides by 4 )

9 + x = 15 ( subtract 9 from both sides )

x = 6 m

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Aaron has a digital scale. He puts a marshmallow on The digital scale and it reads 7.2 grams. How much would you except 10 marsh

madreJ [45]

Answer:

72 grams

Step-by-step explanation:

If one marshmallow weighs 7.2 all you have to do is take that times 10, which would give you 72 grams as the answer.

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3 years ago

Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling pr

ryzh [129]

Answer:

$104

Step-by-step explanation:

First, convert 60% to a decimal.

60% = 0.6

Now, multiply the cost to buy the camera ($65) by the decimal.

$65 × 0.6 = $39

Now, add this amount to the amount it cost to buy the camera.

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2 years ago

1001112 = [ ? ]10<br> ?<br> what number belongs where the question mark is

EleoNora [17]

I suppose you're supposed to convert 100111 from base 2 to base 10. We have

$100111_2=2^5+2^2+2^1+2^0=32+4+2+1=39_{10}$

so the missing number is 39.

4 0

2 years ago

What is the value of f(x)=2•2^x for f(-2)

Zigmanuir [339]

Answer:

The value of f(-2) is 1/2 or it can be written as 0.5.

Step-by-step explanation:

The given function is

$f(x)=2\cdot 2^x$

We have to find the value of f(-2).

Substitute x=-2 in the given function to find the value of f(-2).

$f(-2)=2\cdot 2^(-2)$

$f(-2)=2\cdot \frac{1}{2^(2)}$

$f(-2)=\frac{1}{2}$

$f(-2)=0.5$

Therefore the value of f(-2) is 1/2 or it can be written as 0.5.

3 0

3 years ago

Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights

Fed [463]

Answer:

a) 615

b) 715

c) 344

Step-by-step explanation:

According to the Question,

Given that, A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams

Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.

Z = (x - mean)/standard deviation

Now,

For x = 4171, Z = (4171 - 3311)/860 = 1

P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.

Next, multiply that by the sample size of 732.

Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171

For part b, use the same method except x is now 1591.

Z = (1581 - 3311)/860 = -2

P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.

For part c, we now need to get two Z scores, one for 3311 and another for 5031.

Z1 = (3311 - 3311)/860 = 0

Z2 = (5031 - 3311)/860= 2

P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772

approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.

5 0

2 years ago