find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want a 95% confidence level and that the error is smaller than 0.03.

Answer:

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Answer:

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

Answer:

5.5227%

Step-by-step explanation:

Z score formula = (x-μ)/σ

where x is the raw score = < 18.5

μ is the population mean = 26.8

σ is the population standard deviation = 5.2

For x < 18.5

z = 18.5 - 26.8/5.2

z = -1.59615

Probability value from Z-Table:

P(x<18.5) = 0.055227

Converting to percentage

= 0.055227 × 100

= 5.5227%

Therefore, the percentage of young women that are underweight by this criterion is 5.5227%

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

Answer:

12 + 25 = 37

Step-by-step explanation:

If we have the value for each of the variables, we can plug them in, and be done with it.

when we plug them in, we get

6(2) + 5(5)

12 + 25

37

Answer:

1/4

Step-by-step explanation:

Step-by-step explanation:

OPTION A

(-40) + (-30) + 28

Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

Answer: The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean  and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that  

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

The z-score for an ACT score of 26 is 0.17.

The z-score for an ACT score of 26 is 0.17.

What is z-score?

When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.

In a set with mean  and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ

How do you find z-score?

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that  

We need to find z-score for an ACT score of 26.

This is Z when X = 26. So

The z-score for an ACT score of 26 is 0.17

Learn more about z-score,

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Answer:

D

Step-by-step explanation:

I think so :)

Now this helps if correct!

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

Answer:

sum of angles in a quadrilateral is 360

Step-by-step explanation:

3x-15 +3x+15+y+30+D=360

hope that explanation helps

Answer:

Wesley's final balance in his checking account after these transactions is $598.78.

Step-by-step explanation:

792.38 - 58.62 + 50 - 120 - 64.98 = 598.78

Answer:

blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]

The empty boxes which make the equation true are (22 -3i) - (15 + 9i)

= 7 - 12i.

As the name suggests it is a combination of real numbers and imaginary numbers.

A complex number (a + ib) where a is the real part and b is the imaginary part.

'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.

Given,  (_ -3i) - (15+_i) = 7 - 12i.

Assuming the real number to be 'a' and the imaginary number to be 'b'.

∴ (a - 3i) - (15 + bi) = 7 - 12i.

a - 3i - 15 - bi = 7 - 12i.

On comparing the real and imaginary parts we get,

a - 15 = 7.

a = 22,

- 3i - bi = - 12i.

- bi = - 9i.

b = 9.

learn more about complex numbers here :

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Answer:

yo

Step-by-step explanation:

jy

Answer:

3 p.m

Step-Hope this helps!!

Answer:

pretty sure 3pm

Step-by-step explanation:

You just subtract 9-6

So its 3pm :)

Answer:

A: systematic sampling

Step-by-step explanation:

The correct answer is systematic Sampling.

This is because, Systematic sampling is a method of sampling whereby the researchers choose members of a population at regular intervals e.g., when we select every 10th person on a particular list in the population.

And in this question, the professor starts with the 4th person on the list and selecting every 6th person. Thus, the answer is systematic Sampling.

Answer:

amount of food feed each day is 0.12 kg

amount of food required to feed in March( 31 days) is 0.12*31

the answer is 3.72kg

Answer:

8/35

Step-by-step explanation:

Answer:

8 7/20

Step-by-step explanation:

I'm not quite sure but I hope it will help you if I'm wrong tell me I'll try it again good day don't forget to tell me if I'm wrong.

Answer:

192

Step-by-step explanation:

If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.

8 x 24 = 192 players can sign up for the league.

(hope this helps can i plz have brainlist :D hehe)

Answer:

192 players

Step-by-step explanation:

8x24=192

8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.

Answer:

Step-by-step explanation:

divide 12 or 15

Answer:

Step-by-step explanation:

what are we looking for?/

9514 1404 393

Answer:

  f(1) = 173 = the amount remaining after 1 year

Step-by-step explanation:

The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...

  f(1) = 173 = the amount remaining after 1 year

__

(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)

Answer:

sin x = 0.4706

Step-by-step explanation:

Given that,

Height, h = 8

Base, b = 15

Let H be the hypotenuse of the triangle. Using Pythagoras theorem,

[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]

We know that,

[tex]\sin\theta=\dfrac{h}{H}[/tex]

So,

[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]

So, the correct option is (b).

Answer:

b is the answer

Step-by-step explanation:

a triangle equals up to 180 degrees and 75+43+62 equals 180

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

Answer:

Yes, because the area of one side of the divider is approximately 24ft^2

Answer:

yes 24 squared

Step-by-step explanation:

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