Ax42+720-720:9=1060 puteti face calculul va rog

Point T , located at (-3, 4), undergoes two transformations. Its image, T ', is located at (4, -3). Describe the transformations

Viefleur [7K]

Answer:

The point was translated right 7 units and down 7 units.

6 0

3 years ago

A random sample of 10 observations was selected from a normal population distribution. The sample mean and sample standard devia

Delvig [45]

Answer:

18.0167≤x≤21.9833

Step-by-step explanation:

Given the following

sample size n = 10

standard deviation s = 3.2

Sample mean = 20

z-score at 95% = 1.96

Confidence Interval = x ± z×s/√n

Confidence Interval = 20 ± 1.96×3.2/√10

Confidence Interval = 20 ± (1.96×3.2/3.16)

Confidence Interval = 20 ± (1.96×1.0119)

Confidence Interval = 20 ± 1.9833

CI = {20-1.9833, 20+1.9833}

CI = {18.0167, 21.9833}

Hence the required confidence interval is 18.0167≤x≤21.9833

8 0

3 years ago

You are buying shirts for an organization. You have $120 to spend. The number of short-sleeved shirts y you buy after buying x l

Makovka662 [10]

The given equation is ⇒ y = -1.2 x + 24

<u>Part A : Graph the equation.</u>

To graph the equation, substitute with values of x then find y

The attached figure represents the table to graph the equation and the graph of the equation.

=============================================

<u>Part B : x-intercept</u>

To find x-intercept substitute with y = 0 and solve for x

∴ 0 = -1.2 x + 24

∴ 1.2 x = 24

∴ x = 24/1.2 = 20

x-intercept is at point (20,0)

==================================================

<u>Part C : y-intercept</u>

To find y-intercept substitute with x = 0 and solve for y

∴ y = -1.2 * 0 + 24

∴ y = 24

∴ y-intercept is at point (0,24)

5 0

4 years ago

In a prior sample of U.S. adults, the Center for Disease Control (CDC), found that 8% of the people in this sample had pinworm b

kow [346]

Answer: a) 453 b) 1537

Step-by-step explanation:

As per given , we have

Margin of error : E= 0.025

Critical value for 95% confidence interval : $z_{\alpha/2}=1.96$

a) The prior estimate of population proportion : p=0.08

Required sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.08(1-0.08)(\dfrac{1.96}{0.025})^2\\\\=452.386816\approx453$

The minimum sample size is 453 U.S. adults.

b) Since the prior estimate of population proportion is not available , so we take p= 0.5

Required sample size :-

$n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.025})^2\\\\=1536.64\approx1537$

The minimum sample size is 1537 U.S. adults.

5 0

4 years ago

PLEASE SHOW WORK<br><br>Area of the triangle: 1 1/3 yards and 6 yards

poizon [28]

$\boxed{A=4yd^2}$

<h2>Explanation:</h2>

I'll assume the dimensions are:

$base \ (b)=1 \frac{1}{3}yards \\ \\ height \ (h)=6yards$

First of all, let's convert mixed fraction into improper fraction:

$Add \ whole \ part \ and \ fractional \ part: \\ \\ 1\frac{1}{3}=1+\frac{1}{3} \\ \\ \\ Simplifying: \\ \\ 1\frac{1}{3}=\frac{3+1}{3} =\frac{4}{3}$

The formula for the area of a triangle is:

$A=\frac{1}{2}b\times h \\ \\ A=\frac{1}{2}(\frac{4}{3})(6) \\ \\ \boxed{A=4yd^2}$

<h2>Learn more:</h2>

Area of triangles: brainly.com/question/9835350

#LearnWithBrainly

8 0

3 years ago