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10 months ago

If you could please help me that would be great.

Mathematics

1 answer:

Brut [27]10 months ago

8 0

No.1
r=9

No.3
r=10.5ft

No.5
C=132m

No.7
C=25.12

No.9
44

No.11
264cm

No.13
97.34m

No.15
47.1

No.17
Am not sure

Hope this helps though

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A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups

HACTEHA [7]

Answer: b. 8.56 to 21.44

Step-by-step explanation:

Let $\mu$ be the mean number of pushups that can be done.

As per given , we have

Sample size : n= 10

Degree of freedom = n-1=9

Sample mean : $\overline{x}=15$

Sample standard deviation : $s=9$

Significance level : α=1-0.95=0.05

From t- distribution table ,

Critical two -tailed t-value for α=0.05 and df = 9 is

$t_{\alpha/2, 9}=t_{0.025,9}=2.2622$

Confidence interval for $\mu$ is given by :-

$\overline{x}\pm t*\dfrac{s}{\sqrt{n}}$

$=15\pm (2.2622)\dfrac{9}{\sqrt{10}}\\\\\approx 15\pm 6.44=(15-6.44,\ 15+6.44)\\\\=(8.56,\ 21.44)$

Hence, the 95% confidence interval for the true mean number of pushups that can be done is 8.56 to 21.44.

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2 years ago

Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1,

expeople1 [14]

Answer:

x = 4

Step-by-step explanation:

The line with points (1,2) and (-1,-8). Work out its equation.

y = mx + b

The slope is:

m = (-8 - 2)/(-1 - 1) = -10/-2 = 5

To find the y intercept, substitute x and y-xoordinates of point (1,2):

2 = 5(1) + b
b = 2 - 5
b = -3

The line is:

y = 5x - 3

Point (x, 17), substitute y-coordinate and solve for x

17 = 5x - 3
5x = 17 + 3
5x = 20
x = 20/5
x = 4

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2 years ago

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Find the value of x. 6x+3(-3x+4)=13

iren [92.7K]

Answer:

x= -1/3 or -0.3

Step-by-step explanation:

6 0

1 year ago

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Mr.willer wanted to donate 27cans of food to each of 8 food banks.Each of the 23 students in Mr.willers class donated 9 cans . H

Degger [83]

Mr.willer needs 216 cans because 27 vans times 8 banks equals 216 and 23 times 9 equals 207 so he would need 9 more cans

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2 years ago

WILL GIVE BRAINLIEST IF CORRECT!!

vfiekz [6]

Answer:

$\displaystyle y=-0.927x+13.63$

Step-by-step explanation:

Simple Linear Regression

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

$x=\{1,5,6,12,15\}$

$y=\{14,11,4,2,1\}$

First, we find the sums

$\displaystyle \sum x=1+5+6+12+15=39$

$\displaystyle \sum y=14+11+4+2+1=32$

Then, we compute the averages values

$\displaystyle \bar{x}=\frac{39}{5}=7.8$

$\displaystyle \bar{y}=\frac{32}{5}=6.4$

We will also compute the sums of the cross-products and the sum of the squares

$\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137$

$\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225$

$\displaystyle \sum x^2=431$

We will compute Sxy and Sxx

$\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}$

$\displaystyle S_{xy}=137-\frac{(39)(32)}{5}$

$\displaystyle S_{xy}=-117.6$

$\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}$

$\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8$

The slope of the linear regression function is given by

$\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927$

The y-intercept ot the linear function is

$\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)$

$\displaystyle b=13.63$

Thus the best-fit line is

$\displaystyle y=-0.927x+13.63$

The correct option is the last one

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2 years ago