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aalyn [17]
3 years ago
6

Find the area of the trapezoid with bases 12 cm and 14 cm and height 9 cm

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

117

Step-by-step explanation:

b1+b2÷2×h is the formula.

Just fill in the formula with the numbers you have.

12+14=26

26÷2=13

13×9=117

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A research study investigated differences between male and female students. Based on the study results, we can assume the popula
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Answer: 0.0548

Step-by-step explanation:

Given, A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05.

Let \overline{X} represents the sample mean GPA for each student.

Then, the probability that the random sample of 100 male students has a mean GPA greater than 3.42:

P(\overline{X}>3.42)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3.42-3.5}{\dfrac{0.5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-0.08}{\dfrac{0.5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>1.6)\\\\=1-P(Z

hence, the required probability is 0.0548.

6 0
3 years ago
find the roots of the quadratic equation x^2-6x+k=0.giventhat one root is three times the other and that k is a constant.Also fi
arlik [135]

x_{1}  = 3x_{2}  \\ x_{1}  - 3x_{2}  = 0 ←relation \: 1\\ x_{1}  + x_{2}  = 6 ←relation \: 2

(x_{1},x_{2}) : (4.5,1.5)

k = x_{1}x_{2} = 4.5 \times 1.5 = 6.75

7 0
1 year ago
David hikes 21/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 mi
harkovskaia [24]

Answer:

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C)  Distance = 10.5 mph × 7 hours = 73.5   miles

Step-by-step explanation:

Given as :

The distance cover by David = \frac{21}{4} miles = 5.25 miles

The time taken by David        = \frac{1}{2}  hours  = 0.5 hours

Let the speed                          = x mile per hour

So, Distance = Speed × Time

A)or,  Speed = \frac{Distance}{Time}

Or,  Speed = \frac{5.25}{0.5}

∴     speed = 10.5 miles per hour

<u>B) Again The Distance cover by him = 18 miles</u>

SO, with speed 10.5 miles per hour

The Time taken by him =  \frac{Distance}{speed} hours

Or, Time taken by him =  \frac{18}{10.5} hours

∴    Time taken by him = 1.714 hours

<u>C) Again the Time taken by him = 7 hours   </u>

So, Distance cover by him with speed 10.5 mph

Or, Distance = 10.5 mph × 7 hours = 73.5   miles

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C)  Distance = 10.5 mph × 7 hours = 73.5   miles   Answes

8 0
3 years ago
Plz help loves i need
Ratling [72]

Answer:

It's the letter B :)

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3 years ago
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The answer would be “D” because it’s is 4 less than 7j.
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