In a survey, 150 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The results are summarized in the table below. ​

Answer:

68%

Step-by-step explanation:

The Empirical rule formula is given as:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Where

μ is the population mean

σ is the population standard deviation.

Step 1

Find the number of standard deviations from the mean

μ - xσ and μ + xσ

μ = 175

σ = 13

For 162

175 - 13x = 162

175 - 162 = 13x

13 = 13x

x = 13/13

x = 1

For 188

175 + 13x = 188

13x = 188 - 175

13x = 13

x = 13/13

x = 1

Hence, the data falls with 1 standard deviation of the mean

Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%

Answer:

The answer is 68%

Step-by-step explanation:

Answer:

what is the question exactly? please

Answer:

[tex]x^{5/6 } + 2\cdot x^{7/3}[/tex]

Step-by-step explanation:

Let be [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex], which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex]  Given.

2) [tex]x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})[/tex] Distributive and associative properties.

3) [tex]x^{5/6 } + 2\cdot x^{7/3}[/tex] [tex]a^{m}\cdot a^{n} = a^{m+n}[/tex]/Result

Answer:

6,15,24,33

Step-by-step explanation:

EDGE 2021

Answer:

3

Step-by-step explanation:

3, 6, and 9 are all divisible by 3. And it's the lowest whole number you can divide them all by.

Answer:

D

Step-by-step explanation:

Because it moves 6 down and 6 right

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love you

Step-by-step explanation:

Answer:

It will be 8 meters long.

[tex]l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m[/tex]

Answer:

28 and 12 . (QUORA)

Step-by-step explanation:

Let’s write this down. We are looking for X and Y.

The difference between two numbers is 16: −=16

Three times the larger number is seven times the smaller:  ∗3=∗7

So, we need to solve X and Y from these two equations.

If we re-arrange X*3 = Y*7, we get Y = X*3/7.

So, −∗3/7=16 .  −∗3/7  is the same as  7∗/7−3∗/7 , or  4∗/7 . So  4∗/7=16−>4∗=7∗16−>=7∗4=28 .

Then we just go back to  −=16 , and  =28 , gives us  28−=16,  or  =28–16−>=12 .

So the numbers are 28 and 12.

Answer:

[tex]x=7\sqrt{2}\\y=7[/tex]

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is 180 degrees.

Y+90+45=180

Y = 45

Find x:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

rewrite as

x=7/Sin(45)

x = 7squareroot 2

Find the last side of the triangle using the Pythagorean theorem.

y=√(7√2)^2−(7)^2

y=7

Answer:the first ans  (f(x)=(1/x+2)+3

Step-by-step explanation:

Answer:

Its the first one

Step-by-step explanation:

f(x) = 1/x + 2 + 3

Answer:

so it is asking for hte rent and groceries so add thoses 2 up and you get 896 - 384 = 1280 dollars then you subtract 1280 - 3200 and you get 1920 so 12 percent isnt the awnser 64 isnt the awnser becuase its more than half so search up 40% of 3200 and its 1280 so 40% is your awnser

Step-by-step explanation:

b

Step-by-step explanation:

it is ovliue

A small rectangle, large rectangle, a small rectangle

Also, just as a tip- for Schoology, to edit the doc/slide in the normal way, press "edit" and let the document open in a new tab. To submit, go back to the screen you're on right now, and submit as usual

Answer:

[tex](x+1)^2+(y-2)^2=49[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where  r  is the radius, and the center is (h, k).

(h, k) = (-1, 2),  r = 7

[tex](x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49[/tex]

Answer:

it is 160 if I remember correctly.

Answer:

320

Step-by-step explanation:

- 2 × - 8 × - 2 × - 10

16 × - 2 × - 10

- 32 × - 10

320

Answer:

-138

Step-by-step explanation:

Answer:

6(-5)+(-18)

= -30+ (-18)

= -30-18

= -48

Step-by-step explanation:

i hope this helps :)

Answer:

it is b

Step-by-step explanation:

see steps below:)

Answer:

y = -x + 8

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

Answer:

[tex]A\simeq3325.91[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2500

[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]

t = 5

n = 4 (quarterly in a year)

Then,

[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]

Answer:

9. 3 ÷ 4, 9.5, 9. 3 ÷ 8, 9.125

Step-by-step explanation:

Given that

The weight of four puppies are 9.5 9 3 ÷ 8 9.125 9 3 ÷ 4

We need to find out the weight from high to low

So,

First we place the number in decimals

After this, we line all up

Now place the numbers from high to low

The above shows the correct order

Therefore the same would be considered and relevant

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

We can substitute a definition of one of the variables by rearranging the first equation.

We set the first equation equal to one of our two variables.

[tex]y = 24 - x[/tex]

Now we substitute this equality into our second equation

[tex]3x + 5(24 - x) = 100[/tex]

Answer:

the z-score for the sat score of 380 is 2

Step-by-step explanation:

the way i got this is you got to take the standard deviation value and subtract it from the mean since the value 380 is less than 500.

500-60=440-60=380

so the answer would be a z-score of 2

Answer:

$500 will give the company the maximum revenue

Step-by-step explanation:

Given

[tex]r(x) = x (1000 - 2x)[/tex]

Required

Price to generate maximum revenue

We have:

[tex]r(x) = x (1000 - 2x)[/tex]

Open bracket

[tex]r(x) = 1000x - 2x^2[/tex]

Rewrite as:

[tex]r(x) = - 2x^2 + 1000x[/tex]

The maximum value of x is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

Where:

[tex]f(x) = ax^2 + bx + c[/tex]

So:

[tex]a \to -2[/tex]

[tex]b = 1000[/tex]

[tex]c = 0[/tex]

[tex]x = -\frac{b}{2a}[/tex]

[tex]x = -\frac{1000}{-2}[/tex]

[tex]x = \frac{1000}{2}[/tex]

[tex]x = 500[/tex]

Answer:

12 / 2.4 = 5

Step-by-step explanation:

So the man is filling the bucket at 5 gallons per minute.

Dont trust me I just did the math and that is what I got....

Sorry if it's wrong

Answer:

1. How many packages are delivered each hour.

2. Find the correlating variable on the graph.

3. 105 packages

4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.

Answer:

Inches of fence Sam built each day = 108 inches per day

Step-by-step explanation:

Sam built a fence that was 54 feet long. She built the same length of fence each day for 6 days.

How many inches of fence did Sam build each day?

Total length of fence Sam built = 54 feet

How many inches of fence did Sam build each day?

Number of days = 6

Convert 54 feet to inches

1 feet = 12 inches

54 feet = 648 inches

Inches of fence Sam built each day = Total inches of fence built / number of days

= 648 inches / 6 days

= 108 inches per day

Inches of fence Sam built each day = 108 inches per day