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3 years ago

What’s is the square root of 22

Mathematics

1 answer:

Travka [436]3 years ago

8 0

Answer:

4.69041575982343

Step-by-step explanation:

round if you need to

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In a poll of 745 randomly selected adults, 591 said that it is morally wrong to not report all income on tax returns. Use a 0.01

Marianna [84]

Answer:

The calculated value Z = 2.734 > 2.576 at 0.01 level of significance

Null hypothesis is rejected

The claim that 75% of adults say that it is morally wrong to report all income on tax returns.

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 745

Given In a poll of 745 randomly selected adults, 591 said that it is morally wrong to not report all income on tax returns

sample proportion

$p^{-} = \frac{x}{n} = \frac{591}{745} = 0.7932$

Given Population proportion P = 0.75

Q = 1-P

Q = 1 - 0.75 = 0.25

Null Hypothesis :H₀: P=0.75

Alternative Hypothesis :H₁:P≠ 0.75

Step(ii):-

Test statistic

$Z = \frac{p^{-}-P }{\sqrt{\frac{P Q}{n} } }$

$Z = \frac{0.7932-0.75 }{\sqrt{\frac{0.75 X 0.25}{745} } }$

Z = 2.734

Level of significance ∝ = 0.01

The critical value Z =2.576

The calculated value Z = 2.734 > 2.576 at 0.01 level of significance

Null hypothesis is rejected

The claim that 75% of adults say that it is morally wrong to report all income on tax returns.

4 0

4 years ago

21 is less than or equal to -3(x-4) is less than 18

Maslowich

Answer:

-3 ≤ x <-2

Step-by-step explanation:

First, you should set up the equation to solve it, which is,

21 ≤ -3(x-4)<18

Then you should simplify the equation to,

21 ≤ -3x+12<18

Then subtract 12 from both sides.

9 ≤ -3x<6

Lastly, divide -3 from both sides.

-3 ≤ x<-2

8 0

3 years ago

Find the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0.

nadezda [96]

Answer:

The equation of the line is y + x + 1 = 0.

Step-by-step explanation:

The given equations are : x + 2y = 0 and 3x + y + 5 = 0

Now, finding the intersection point of the above system:

from (1) , x = -2y

put in (2), 3 (-2y) + y + 5 = 0

or, 5y = 5 ,or y = 1

If y = 1, pitting in (1), x = -2

So, the intersection lines is (-2,1).

the other point on line is (-3,2)

Now, finding the slope m of the line : $m =\frac{y_2 -y_1}{x_2 - x_1} =\frac{2 -1}{-3 - (- 2)}$

or, $m = -\frac{1}{1}$ = -1

So, by POINT SLOPE FORM: the equation of a line is

(y - y0) =m (x -x0),

now for (-3,2) : equation is ( y - 2) = (-1) (x +3)

or, y + x + 1 = 0

Hence, the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0 is y + x + 1 = 0.

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to:1/m6

Valentin [98]

Answer:

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

8 0

3 years ago

a fort has enough food for 720 soldiers for 35 days. If after 5 days, 120 soldiers leave the fort, how long will the food last n

ANTONII [103]

The answer is 54 days

4 0

3 years ago