In a test, the total of the marks scored by Sampat and Ganpat was 125% more than Sampat's

An office is divided into 8 cubicles. How many of the cubicles are carpeted if only 1/4 of the cubicles are carpeted?

djyliett [7]

U have to do it like this 1/4 and 8/100

6 0

2 years ago

A Washington, D.C., "think tank" announces the typical teenager sent 67 text messages per day in 2017. To update that estimate,

creativ13 [48]

Answer:

We reject the null hypothesis and fail to accept it and update that estimate that typical teenager sent does not 67 text messages per day.

Step-by-step explanation:

We are given the sample:

51, 175, 47, 49, 44, 54, 145, 203, 21, 59, 42, 100

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{990}{12} = 82.5$

Sum of squares of differences = 992.25 + 8556.25 + 1260.25 + 1122.25 + 1482.25 + 812.25 + 3906.25 + 14520.25 + 3782.25 + 552.25 + 1640.25 + 306.25 = 3539.363636

$S.D = \sqrt{\frac{3539.363636}{11}} = 59.5$

We are given the following in the question:

Population mean, μ =67

Sample mean, $\bar{x}$ = 82.5

Sample size, n = 12

Alpha, α = 0.05

Sample standard deviation, s = 59.5

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 67\\H_A: \mu > 67$

We use One-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{82.5 - 67}{\frac{59.5}{\sqrt{11}} } = 0.864$ Now,

$t_{critical} \text{ at 0.05 level of significance, 11 degree of freedom } = 1.795$

a) Since,

$t_{stat} < t_{critical}$

We reject the null hypothesis and fail to accept it and update that estimate that typical teenager send more than 67 text messages per day.

5 0

1 year ago

Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.

miss Akunina [59]

The correct answers are:

1. f (x) is translated 4 units down.

2. f (x) is vertically stretched by a factor of 4.

I took the quiz and these were the right answers. Hope I helped! <3

8 0

2 years ago

Read 2 more answers

The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S

lana [24]

Answer:

Part A) $h=V/(\pi r^{2})$

Part B) $h=4\ cm$

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

$V=\pi r^{2}h$

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

$V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})$

Simplify

$V/(\pi r^{2})=h$

Rewrite

$h=V/(\pi r^{2})$

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

$V=36\pi\ cm^3$

$r=3\ cm$

substitute in the formula and solve for h

$h=36\pi/(\pi 3^{2})$

$h=4\ cm$

8 0

2 years ago

Help! Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

LekaFEV [45]

(5.75,0)

Let A be (x1,y1) , B be (x2,y2) , P be (x,y) and the ratio be m:n

Formula is,

x=(x2*m+x1*n)/(m+n)

y=(y2*m+y1*n)/(m+n)

7 0

1 year ago