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2 years ago

Which of the following statements is true for this distribution? (No calculations are required to answer this question.)

Mathematics

1 answer:

sasho [114]2 years ago

8 0

Answer:

The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.

Hence, the correct option is A.

To estimate the population mean we use a t-distribution to calculate the confidence interval. When we use a t-distribution the sample standard deviation is used to estimate the population standard deviation

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The length of a rectangle is four times its width.

mixer [17]

Let width be x

length=4x

ATQ

$\\ \sf\longmapsto 2(x+4x)=70$

$\\ \sf\longmapsto 5x=35$

$\\ \sf\longmapsto x=7$

Width=7ft
Length=7(4)=28ft

3 0

2 years ago

Read 2 more answers

A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to

Aliun [14]

Answer:

$A=9.5\ ft^2$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

$A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}$

we have

$b=4\ ft$

Find the height of the right triangle applying the Pythagorean Theorem

$5^2=h^2+4^2$

$h^2=9\\h=3\ ft$

The radius of the semicircle is half the height of triangle

$r=3/2=1.5\ ft$

substitute in the formula

$A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}$

$A=6+3.5=9.5\ ft^2$

5 0

3 years ago

Read 2 more answers

Anna ate

viva [34]

Answer:

−

Step-by-step explanation:

4 0

2 years ago

In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team wi

UkoKoshka [18]

Answer:

$x = \frac{4}{9}$

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

$x = 0.444$

Convert to fraction

$x = \frac{444}{1000}$

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

$x = \frac{444}{1000 - 1}$

$x = \frac{444}{999}$

Simplify to the lowest term: Divide numerator and denominator by 37

$x = \frac{444/37}{999/37}$

$x = \frac{12}{27}$

Simplify to the lowest term: Divide numerator and denominator by 3

$x = \frac{12/3}{27/3}$

$x = \frac{4}{9}$

Hence;

There winning fraction is $\frac{4}{9}$

8 0

2 years ago

I’m doing edg unit test what is the answer to. Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

sertanlavr [38]

Answer:

(4x + 1)(x² - 2)

Step-by-step explanation:

Given

4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )

= x²(4x + 1) - 2(4x + 1) ← factor out (4x + 1) from each term

= (4x + 1)(x² - 2)

6 0

2 years ago