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Nadusha1986 [10]
3 years ago
10

Compare these fractions 8/56 1/7

Mathematics
2 answers:
dem82 [27]3 years ago
7 0
1/7 = 8/56 they are equivalent
Sonbull [250]3 years ago
3 0

Answer:

They are equivalent (equal.)

Step-by-step explanation:

Work shown below (it's hard to show it by typing)

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Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as
V125BC [204]

The measure of the angle created by the car's turning is 105°

Step-by-step explanation:

  Given :  a car is traveling east on 4th Street and turns onto King Avenue heading northeast.

We have to calculate the measure of the angle created by the car's turning.

Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.

Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image

Since, we need to calculate  the measure of the angle created by the car's turning that is measure of ∠ABC.

AD is a straight line, thus measure of any angle  at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees

Therefore, at B,

∠ABC + ∠CBD = 180°

Aldo given , ∠CBD = 75°

Thus, the measure of ∠ABC is ,

⇒ ∠ABC  = 180° -∠CBD

⇒ ∠ABC  = 180° - 75°

⇒ ∠ABC  = 105°

Thus, the measure of the angle created by the car's turning is 105°

7 0
3 years ago
Please help solve: 1/9 x 5/4
horrorfan [7]
1/9 • 5/4 = 1/9 • 1 1/4 = 11/36. Hoped I helped!
5 0
4 years ago
Read 2 more answers
Kelly buys a sweater for $16.79 and a pair of pants for $28.49. She pays with a $50 bill. How much change should Kelly get back?
andrew11 [14]
16.79+28.49=45.28

50-45.28=4.72

Kelly would get $4.75 back
4 0
3 years ago
Find the equation!!!!!! asap
My name is Ann [436]

Answer:

y=\frac{1}{36}x^2

Step-by-step explanation:

The focus of the parabola is (0,9)

and the directrix is y=-9.

The equation of this parabola is given by:

x^2=4py

The vertex of this parabola is at the origin.

The value of p is the distance from the vertex to the focus.

p=9-0=9

The equation of the parabola is

x^2=4(9)y

x^2=36y

Or

y=\frac{1}{36}x^2

4 0
3 years ago
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