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3 years ago

Little helppp please

Mathematics

1 answer:

liberstina [14]3 years ago

8 0

Answer:

Answer given above

Step-by-step explanation:

a.) 6 m n^8

b.)2x^8 y^3

c. ) d^3 e

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Calculate the circumference of the cirlce r=2.5 m

dlinn [17]

$C= 2 \pi *R

C= 2 \pi *2,5

C= 5 \pi$

4 0

4 years ago

Read 2 more answers

UCF believes that the average time someone spends in the gym is 56 minutes. The university statistician takes a random sample of

11111nata11111 [884]

Answer:

We conclude that the average time someone spends in the gym is different from 56 minutes.

Step-by-step explanation:

We are given that UCF believes that the average time someone spends in the gym is 56 minutes.

The university statistician takes a random sample of 32 gym goers and finds the average time of the sample was 50 minutes. Assume it is known the standard deviation of time all people spend in the gym is 8 minutes.

Let $\mu$ = population average time someone spends in the gym

SO, Null Hypothesis, $H_0$ : $\mu$ = 56 minutes {means that the average time someone spends in the gym is 56 minutes}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 56 minutes {means that the average time someone spends in the gym is different from 56 minutes}

The test statistics that will be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average time someone takes in the gym = 50 min

$\sigma$ = population standard deviation = 8 minutes

n = sample of gym goers = 32

So, test statistics = $\frac{50-56}{\frac{8}{\sqrt{32} } }$

= -4.243

Since in the question we are not given the level of significance so we assume it to b 5%. Now at 5% significance level, the z table gives critical value between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the average time someone spends in the gym is different from 56 minutes.

4 0

3 years ago

Use the following information to answer all parts of question 3.3a: What is the area of the triangle? (Area of triangle = 1/2*b*

Anit [1.1K]

Answer:

See below ~

Step-by-step explanation:

3a : Area of the triangle

A = 1/2bh
A = 1/2 x 10 x 8
A = 5 x 8
A = 40 m²

3b : Area of the semicircle

Finding the radius (equal to 1/2 of the triangle hypotenuse)
Apply Pythagorean Theorem here
√8² + 10² = d
√64 + 100 = d
d = √164
d = 2√41
r = √41

A = πr²/2
A = 3.14 x (√41)² / 2
A = 1.57 x 41
A = 64.4 m² (nearest tenth)

5 0

2 years ago

The point (5,-6) lies on a circle and the center of the circle is at the point (5,-8).

mario62 [17]

Answer:

(x - 5)^2 + (y + 8)^2 = 4

Step-by-step explanation:

The equation for a circle in center radius form is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

We need to determine the radius, from the two points which is the distance

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

= sqrt( (5-5)^2+( -8--6)^2)

= sqrt(0+ (-8+6)^2)

= sqrt( 0+(-2)^2)

= sqrt(4)

= 2

The radius is 2 and the center is (5,-8)

(x-5)^2 + (y--8)^2 = 2^2

(x-5)^2 + (y+8)^2 = 4

3 0

3 years ago

50 POINTS!!!!!!!!!

Vinil7 [7]

A. first L-point Reflection symmetry and second Translational symmetry toward +x-axis

5 0

3 years ago

Little helppp please ​

Little helppp please