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3 years ago

7

If, for a sample in which the subjects are randomly chosen, the mean income is $45,000, the sample size is 1600, the standard de

viation is $4,000, and the standard error of the mean is $10, what, approximately, is the 95% confidence interval for the population mean?

1 answer:

jeka57 [31]3 years ago

6 0

Just add 45'000, 4,000, 10,divided by 95% = your answer.

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10. 10. If AB bisects CAF, and m<EAF = 72°,<br>then the m<BAF =

never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0

3 years ago

Is this relation a function by using straight line test

Drupady [299]

Answer:

No

Step-by-step explanation:

Graph all points. They do not make a line.

6 0

3 years ago

What ratio forms a proportion with 14/42?<br> A. 1/4<br> B. 7/21<br> C. 12/40<br> D. 28/80

koban [17]

Hey there!

"What ratio forms a proportion with $\frac{14}{42}$ ?"

- $\frac{14}{45} =0.56$ (for the decimal)

$A) \frac{1}{4}$ $=0.25$ $(incorrect)$
$B) \frac{7}{21}$ $=0.33$ $(Incorrect)$
$C) \frac{12}{40}$ $0.3$ $(incorrect)$
$D) \frac{28}{80}$ $0.7$ $(incorrect)$

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

$1\times2= 2$ ; $4\times2 = 8$ $(incorrect)$
$7\times 2= 14$ ; $21\times2 = 42$ $(correct)$
$12 \times2 = 24$ ; $40\times 2 = 80$ $(incorrect)$
$2 \times 28 = 56$ ; $2\times 80 = 160$ $(incorrect)$

Your result: $\boxed{Answer: B. \frac{7}{21} }$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:) }$

3 0

3 years ago

How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1

Zielflug [23.3K]

Answer:

$-\frac{8}{3}$

Step-by-step explanation:

Given

$\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}$

Required

Simpify

The very first step is to take LCM of the given expression

$\frac{-10 -4 - 2}{6}$

Perform arithmetic operations o the numerator

$-\frac{16}{6}$

Divide the numerator and denominator by 2

$-\frac{16/2}{6/2}$

$-\frac{8}{3}$

The expression can't be further simplified;

Hence, $\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}$ = $-\frac{8}{3}$

8 0

3 years ago

The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false? True False

tigry1 [53]

The system of the equation doesn't give the solution at (-3, -6).

<h2>Given to us</h2>

-4x+y = 6
5x-y =21

<h3>Equation 1,</h3>

-4x+y = 6

solve for y

$-4x+y =6\\y= 6+4x$

<h3>Equation 2,</h3>

5x-y =21

substitute the value of y in equation 2,

$5x-(6+4x) =21\\5x -6 -4x =21\\5x -4x=21+6\\x = 27$

Substitute the value of x in equation 2,

$5x-y =21\\5(27)-y =21\\135-y = 21\\-y=21-135\\-y = -114\\y=114$

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.

Hence, the system of the equation doesn't give the solution at (-3, -6).

Learn more about system of equations:

brainly.com/question/12895249

6 0

2 years ago