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Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):


Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65


Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer.

Answer:

The population standard deviation is 1.92.

Step-by-step explanation:

Population mean:

Sum of all values divided by the number of values. Thus:

[tex]M = \frac{2 + 3 + 5 + 7}{4} = 4.25[/tex]

Population standard deviation:

Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

[tex]S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92[/tex]

The population standard deviation is 1.92.

Answer:

A=25% B=75%

Step-by-step explanation:

So first lets make a sample space. (Im using red, blue, green, and yellow)

rr, rb, rg, ry

br, bb, bg, by

gr, gb, gg, gy

yr, yb, yg, yy

So for A its 4/16 or 1/4=25%

For B its 12/16=3/4=75%

Answer:

Step-by-step explanation:

#6. correct

#7. 3 3/4 - 1 7/8 = 1 7/8

#8. correct

#9. 3 3/8 + 3 3/4 = 7 1/8

#10. 19 - 16 7/8 = 2 1/8

All results in pounds.

Answer: i

Step-by-step explanation:

It is imaginary, since if you try squaring numbers, ex: -1, 1,0,2 you always get a number bigger or equal to 0.

For years mathematicans argued weather the square root of -1 (or any negative number) should exist.

Then one day, a mathematician proposed a soulution, the square root of -1 could be i. Everyone liked that and so now the square root of -1 is i

Answer:

110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

    = 3*35 +5

   = 105+5

  = 110

Answer:

The answer is 24

Step-by-step explanation:

The first step is to multiply 6x3=18 Then you multiply 4x3=12/2=6 Then you add 18+6=24 Your welcome :D

Answer:

-22

Step-by-step explanation:

The blue dot on the number line is 4 units below -10. The number -16 is also labeled, but it is instead just 2 units below -10. If -16 is 2 units below -10, then 2 units is equal to a distance of 6, which means 1 unit is equal to a distance of 3. Because the blue dot is 4 units below -10, the blue dot is 12 less than -10, meaning that the blue dot is at -22.

Answer:

yan ata un nd ko sure hehe

Answer: 5/14

Step-by-step explanation:

Answer:

Let p = the speed of the plane

and w = the speed of the wind

It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.

600mi3hr=p−w600mi2hr=p+w

Solving for the left sides we get:

200mph = p - w

300mph = p + w

Now solve for one variable in either equation. I'll solve for x in the first equation:

200mph = p - w

Add w to both sides:

p = 200mph + w

Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:

300mph = (200mph + w) + w

Combine like terms:

300mph = 200mph + 2w

Subtract 200mph on both sides:

100mph = 2w

Divide by 2:

50mph = w

So the speed of the wind is 50mph.

Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:

200mph = p - 50mph

Add 50mph on both sides:

250mph = p

So the speed of the plane in still air is 250mph.

Answer:

140miles/hour

Step-by-step explanation:

Speed of airplane + speed of wind

=240miles/3 hours + 240miles/4 hours

=80miles/hour +60miles/hour

= 140miles/hour

Answer:

81

Step-by-step explanation:

9 × 3n= 3^7

9×3n= 2187

27n= 2187

n= 2187/27

= 81

Hence n= 81

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

Answer:

[tex]f(t) = 15 -1.2t[/tex]

[tex]0 \le t \le 12.5[/tex]

[tex]15 \ge f(t)t \ge 0[/tex]

The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches

Step-by-step explanation:

Given

[tex]a = 15[/tex] ---- candle length

[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)

Solving (a): The function, f(t)

This is calculated as:

[tex]f(t) = a + rt[/tex]

So, we have:

[tex]f(t) = 15 + -1.2 * t[/tex]

[tex]f(t) = 15 -1.2t[/tex]

Solving (b): The domain

The domain, in this case, represents time from 0 till the candle burns out.

Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out

[tex]f(t) = 15 -1.2t[/tex]

[tex]0 = 15 - 1.2t[/tex]

Collect like terms.

[tex]1.2t = 15[/tex]

Solve for t

[tex]t = 15/1,2[/tex]

[tex]t = 12.5[/tex]

Hence, the domain is: [tex]0 \le t \le 12.5[/tex]

Solving (c): The range

The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)

Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]

Solving (d): [tex]f(t) = 3.6[/tex]

Recall that:[tex]f(t) = 15 -1.2t[/tex]

Sp, we have

[tex]15 - 1.2t - 3.6[/tex]

Collect like terms

[tex]12t =15 -3.6[/tex]

[tex]12t =11.4[/tex]

Divide by 12

[tex]t =0.95[/tex]

Answer:

11 and 13

Step-by-step explanation:

let smaller odd number be x

larger odd nuber be x+2

according to the question algebraic expression can be written as

6x+3(x+2)=105

6x+3x+6=105

9x=105-6

9x=99

x=99/9

x=11

larger number=x+2

11+2

13

Answer:

Step-by-step explanation:

Answer:

P ( All four) = 29/375=0.07733

P ( Three A^) = 124/375= 0.33067

P ( Two A^) = 120/375= 0.32

P (One A^) = 66/375= 0.176

P (None A^) = 36/375= 0.096

Step-by-step explanation:

Number of Similar Preferences                  Number of Married Couples

All four                                                                29

Three                                                                 124

Two                                                                     120

One                                                                     66

None                                                                  36                            

Total                                                                      375                        

We want to determine the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common.

P ( All four) = 29/375=0.07733

P ( Three A^) = 124/375= 0.33067

P ( Two A^) = 120/375= 0.32

P (One A^) = 66/375= 0.176

P (None A^) = 36/375= 0.096

Probability is calculated by favorable outcome divided by the total outcome.

Similarly we obtained the probabilities of the couples that they will have 0, 1, 2, 3, or 4 personality preferences in common.

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

7(14 - 8) - 6²

Step 2: Evaluate

Answer:

The length of the interval is of 1.8672.

Step-by-step explanation:

Length of a confidence interval:

Margin of error multiplied by 2.

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

s=8.57, n=300

[tex]\sigma = 8.25, n = 300[/tex]

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{8.25}{\sqrt{300}}[/tex]

[tex]M = 0.9336[/tex]

Length:

2*0.9336 = 1.8672

The length of the interval is of 1.8672.

Answer:

5123

Step-by-step explanation:

1425

Answer:

$42.7893 or $42.79 rounded

Answer:

x = 46.8

Step-by-step explanation:

I assume you are trying to find the value of x.

[tex]5x=234.[/tex]

To find x, divide the answer by the coefficient. The quotient is the value of 'x.'

[tex]234/5=46.8[/tex]

Therefore, 46.8 is the value of x.

Remember: Whenever you see a coefficient and a variable together—5x, 7y, 3t—this means to multiply them.

Answer:

D) 3x^4 + 22x^3 + 31x^2 - 6

Step-by-step explanation:

1. Use distributive property throughout your equation.

2. Remove all opposites.

3. Add up all like terms.

4. Finish equation!

Sorry I wasn’t able to show you how I did it, but it’s hella hard to type out. Hopefully you got the concept and it helps. Good luck! :)

Answer:

x = 8.4

Step-by-step explanation:

take 64 degree as reference angle

using cos rule

cos 64 = adjacent / hypotenuse

0.438 = 3.7 / x

x = 3.7 / 0.438

x = 8.44

x = 8.4

Answer:

11

Step-by-step explanation:

because they empty 6 bags and there are 5 bags left to that is 11 all together

The total number of bags of leaves b is given by the equation b = 11 bags

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of bags be = b

The number of bags emptied by Cora's brother = 6 bags

The number of bags left with Cora = 5 bags

So , the equation will be

The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora

Substituting the values in the equation , we get

The total number of bags b = 6 + 5

The total number of bags b = 11 bags

Therefore , the value of A is 11 bags

Hence , the number of bags of leaves is 11 bags

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

15 is the answer , the total people who has dogs , cats , parakeets and none is equals to 185 then from 200 you minus 185 which is 15 so 15 people had parakeets only

Answer:

3 peers

Step-by-step explanation:

Answer:

Three? Is it three?

Step-by-step explanation:

Answer:

326.8 million

Step-by-step explanation:

You just get 14% of 380 million and subtract it from 380 million

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of [tex]-22^{\circ}[/tex] to a high of [tex]16^{\circ}[/tex].

Step-by-step explanation:

In the sinusoidal function [tex]y=a\sin(b(x-c))+d[/tex], [tex]|a|[/tex] represents the amplitude and [tex]y=d[/tex] represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at [tex]y=d-|a|[/tex] and the maximums must occur at [tex]y=d+|a|[/tex].

Thus, the minimum, or low, occurs at [tex]y=-3-|-19|=-3-19=\boxed{-22}[/tex] and the maximum, or high, occurs at [tex]y=-3+|-19|=-3+19=\boxed{16}[/tex].

Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.

This means angle r = 180-145 = 35 degrees.

36x -1 = 35

Add 1 to both sides:

36x = 36

Divide both sides by 36

X = 1

Answer:

Work attached below :D

Answer: ok so your answer will be 7 so D,

Step-by-step explanation: just follow the simple P.E.M.D.A.S

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction