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3 years ago

12

Write the three questions for the pic thank you.

1 answer:

Galina-37 [17]3 years ago

5 0

The area would be (x+3) (4x-1) which is 4x^2 +11x -3. The perimeter is 2(x+3) plus 2(4x-1) which is 2x +6 plus 8x-2 which is 10x +4. If x=7 then the perimeter is 74 ft.

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The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

4 years ago

Find the area of a parallelogram that is 10 m long has a height of 4 m and a width of 5 m

alukav5142 [94]

You would take the base and multiply it by the height. So you would take 10x4 and that would give you 40

8 0

3 years ago

You are swinging a bucket in a circle at a velocity of 7.8 ft/s. The radius of the circle you are making is 1.25 ft. The acceler

Ksju [112]

Given that,

velocity, v = 7.8 ft/s

Radius, r = 1.25 ft

To find,

a. What is the acceleration of the bucket?

b. What is the velocity if the acceleration is 25 ft/sec²?

Solution,

(a) The centripetal acceleration is given by :

$a=\dfrac{v^2}{r}$

Put v = 7.8 ft/s and r = 1.25 ft

$a=\dfrac{(7.8)^2}{1.25}\\\\=48.672\ ft/s^2$

(b) Put a = 25 ft/s² to find velocity.

$v=\sqrt{ar} \\\\v=\sqrt{25\times 1.25} \\\\v=5.59\ ft/s$

Hence, this is the required solution.

7 0

3 years ago

5. Write the polynomial in standard form.

KATRIN_1 [288]

If -7x2 mean -7x^2, x^3, etc. Then the answer would be x5-x3-7x2+2 or the answer is B.

Hope this helped!

5 0

3 years ago

Simplify these expressions 13yz+9+2yxz+3..

den301095 [7]

Answer:

The answer would be 13yz+12+2yxz

Step-by-step explanation:

13yz+9+2yxz+3

Optional step: Put the like-terms by eachother to make it easier

13yz+9+3+2yxz

Then combine like-terms!

13yz+12+2yxz!!

If this helped, marking as brainliest would really help :)

Have a nice day!!

8 0

3 years ago

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