The systolic blood pressure readings of customers at a 24-hour gym franchise are normally distributed with a mean of 122 and a standard deviation of 15. Find the z-score corresponding to the following blood pressure reading.

A blood pressure score of 77 has a z-score of:

Answers

Answer 1

Answer:

the answer is -3

Step-by-step explanation:

Answer 2

To find the z-score corresponding to a blood pressure reading, you would use the formula:
[ z =fraction{(X -mu)}{sigma}]

where:
- \( X \) is the value for which you're calculating the z-score,
- \( \mu \) is the mean of the population, and
- \( \sigma \) is the standard deviation of the population.
Given the values from the question:
- \( X = 77 \) (the blood pressure score for which we're finding the z-score),
- \( \mu = 122 \) (the mean systolic blood pressure reading),
- \( \sigma = 15 \) (the standard deviation of the systolic blood pressure readings).
Now we can plug these values into the formula:
[ z = \fraction{(77 - 122)}{15} \]
[ z = \fraction{-45}{15} \]

[ z = -3 \]
So, the z-score corresponding to the blood pressure reading of 77 is -3. This means that a reading of 77 is 3 standard deviations below the mean systolic blood pressure reading for customers at the gym franchise.


Related Questions

PLZZZZ HELP!!!
Bill is playing a game of chance with the following payout. 30% of the time you will lose 20 dollars, 20% of the time you lose 40 dollars, 10% of the time you win 50 dollars, 40% of the time you win 5 dollars. Find the expected value of the event and explain if Bill should play this game based on the mathematical expectation.

Answers

Answer:

Expected Value= -$7Bill should not play the game

Step-by-step explanation:

In the game, these are the payout:

30% of the time you will lose 20 dollars.20% of the time you lose 40 dollars.10% of the time you win 50 dollars40% of the time you win 5 dollars.

To compute the expected value, take note that a loss is negative while a win is positive.

[tex]E(X)=\sum_{i=1}x_1P(x_1)[/tex]

Therefore:

E(X)=(-20*0.3)+(-40*0.2)+(50*0.1)+(5*0.4)

E(X)=-7

The expected value of the event is -$7.Based on the negative expectation, Bill should not play this game as he is expected to incur a loss.

brainliest 1-10 pick a number and u win

Answers

Answer:

5

Step-by-step explanation:

does anybody know the answer

Answers

Answer:

yes

Step-by-step explanation:

i know the answer

Answer:

[tex]111g[/tex]

Step-by-step explanation:

[tex]2 : 3 = 2 + 3 = 5 \\ \frac{185}{5} = 37 \\ \\ \: 2 \: \: \: \: \: \: \: \: \: \: \: \: \: : 3 \\ 37 \times 2 : 37 \times 3 \\ 74 g\: \: \: \: \: \: \: \: \: \: : 111g[/tex]

You are taking a multiple choice test. There are 4 answer choices for each problem. You randomly guess on one. What is the probability, as a PERCENT, you will get it right?
1/4
75%
3/4
25%
NEED HELPP

Answers

Answer:25%

Step-by-step explanation: there is 4 choices and you pick one so it means 1/4 chance. You then got to put it in percent form and 1/4 is 0.25 but you then have to move the decimal twice to the right to get 25%

Awnser: 25%

Explain: I took the party

The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did not report Teague.

Which statements are true?

Chose all answers that are correct.

- more subjects took the drug than took the placebo.

- twenty-eight percent of the subjects did not report fatigue.

- a greater percent of the subjects did not report fatigue.

-a greater percentage of subjects taking the placebo did not report fatigue.

Answers

Answer:

- more subjects took the drug than took the placebo.  

- a greater percent of the subjects did not report fatigue.  

- a greater percentage of subjects taking the placebo did not report fatigue.

Step-by-step explanation:

60% of the subjects took the drug and 40% took the placebo.  

56% of the subjects did not report fatigue and 44% reported fatigue.

28%  of subjects taking the placebo did not report fatigue and 12% report fatigue.

Answer:

- More subjects took the drug than took the placebo.- A greater percent of the subjects did not report fatigue.

Step-by-step explanation:

A cross-table is about several variables, where we can get different analysis about each aspect of each variable.

In this case, we have Drug and Placebo, each of them has certain percentage about Reported Fatigue and Did not Report Fatigue.

According to the table, 60% of the people took drug, and 40% took placebo. That means more subjects took the drug than took the placebo.

Additionally, 56% of the people didn't report fatigue, and 44% reported fatigue. Therefore, a greater percent of the subjects did not report fatigue.

Help me with this math problem please.

Answers

Answer: 18ft

Step-by-step explanation:

You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 20 inches and a height of 15 inches. Find the volume of this container to the nearest cubic unit. Use a calculator.

Answers

Answer:

area of a cylinder=[tex]\pi[/tex]r²h

Step-by-step explanation

[tex]\pi[/tex]*100*15=1570.79632679 cubic inch

hope this helps

plzz mark me brainliest

What value of x will make the equation true?
(√15)(√15)=x

Answers

Answer:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

Step-by-step explanation:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

[tex]\sqrt{15} =3.87298334621\\\\(3.87298334621)*(3.87298334621)=15\\[/tex]

a 11/18
b 13/18
c 5/18
d 18/13

Answers

i would have to say b 13/18
13/18 is the answer

Which point is located at (4, –2)?

Answers

Answer:

B

Step-by-step explanation:

First you would look at the x coordinate which is 4. So on the x-axis you would find four. Next you would look at the y coordinate which is -2. Then you go on the y-axis and find -2. Finally, you would go to 4 on x-axis and go DOWN (since it is negative) 2 spots.

B point is located at (4, –2)

What is coordinate geometry?

Coordinate geometry (or analytic geometry) is defined as the study of geometry using coordinate points. the usage of coordinate geometry, it is possible to find the distance between two points, divide lines in the m:n ratio, find the mid-point of a line, calculate the area of a triangle within the Cartesian plane, and so on.

Coordinate geometry is needed to provide a connection between algebra and geometry by using graphs of lines and curves. it is an important department of math and usually assists us in locating points in a plane. furthermore, it also has many uses in the fields of trigonometry, calculus, dimensional geometry, and greater.

Learn more about coordinate geometry here

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Solve.

2.5z=−15

z=
What is the answer answer in the box









Answers

Answer:

Z = -6

Step-by-step explanation:

The answer for this is Z=-6

Which of the following scatter plots shows a strong, negative linear association between variables ?

Answers

The scatter plot that shows a strong, negative linear association between variables is Scatter Plot A.

Option A is the correct answer.

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

A strong, negative linear association between variables means that as one variable increases, the other variable decreases consistently and predictably.

This relationship is described as negative because the two variables move in opposite directions.

For example, if you were studying the relationship between temperature and the demand for ice cream, you would expect a strong, negative linear association because as the temperature increases, the demand for ice cream decreases.

In terms of a scatterplot, this relationship would be seen as a cluster of points that form a straight line sloping downwards from left to right.

Thus,

The scatter plot that shows a strong, negative linear association between variables is Scatter Plot A.

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solve −0.2x+1.2<1.1 pls

Answers

Answer:

x > 1/2

Step-by-step explanation:

How do we calculate slope?

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

⋆✨Answered By Cartier✨⋆

✨Brainliest Will Be Appreciated.✨

✨If You Have Questions Ask In The Comment Box.✨

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

What is the solution to the system of equations below?
y=-3x+3 and y=-12
(20, -12)
(12, -12)
(-6, -12)
(-12, 12)

Answers

Answer:

  (5, -12)

Step-by-step explanation:

Put -12 in the equation for y and solve for x:

  -12 = -3x +3

  4 = x -1 . . . . . . . . divide by -3

  5 = x . . . . . . . . .  add 1

The solution to the system shown here is ...

  (x, y) = (5, -12)

__

This is confirmed by a graphing calculator.

__

None of the offered answer choices is correct.

Someone help meeee soon first to answer will be marked brainliest

Answers

Answer:

I think the answer is 1/4

Step-by-step explanation:

Because you use the rise over run method to find slope.

fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss?

Answers

Answer:

1/1

Step-by-step explanation:

SO the chances are 1/1, or 100%. There are 2^3 = 8 possible outcomes after tossing a fair coin fairly 3 times. The 8 possible outcomes are: TTT, HTT, THT, TTH, HHT, HTH, THH, HHH.

Final answer:

The probability of getting heads only on the last toss of three tosses of a fair coin is 0.25 or 25%. This theoretical probability, according to the law of large numbers, tends to become closer to the observed frequency as the number of repetitions increases.

Explanation:

The subject of this question can be classified under Mathematics. It falls under the area of probability, specifically the concept of binomial probability. When a fair coin is tossed, there are two possible outcomes: heads (H) or tails (T). The probability of getting either outcome is 0.5. This is the theoretical probability based on the assumption that the coin is fair and unbiased.

Tossing the coin three times introduces eight possible combinations (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). Out of these, only two combinations (TTH, THT) yield heads (H) on the last toss alone.

Therefore, the probability of getting heads only on the last toss is the number of successful outcomes divided by the total number of outcomes, i.e., 2 out of 8 or 0.25 (25%). This probability is a theoretical probability that deals with long-term expectation and it tends to become closer to the observed or empirical frequency as the number of repetitions increases (law of large numbers).

Learn more about Probability here:

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The steps were unclear on how to solve, help?

Answers

Answer:

2x -y = 13

Step-by-step explanation:

y+3= 2(x-5)

Distribute

y+3 = 2x-10

Subtract 2x from each side

-2x +y+3 = 2x-2x-10

-2x +y +3 = -10

Subtract 3 from each side

-2x+y+3-3 = -10-3

-2x+y = -13

Multiply each side by -1 since A should be positive

2x -y = 13

Your answer would be -2x + y = -13
We can find this by expanding the brackets on the right hand side and then rearranging so that the x and y terms are on the left and all the numbers are on the right:
y + 3 = 2(x - 5)
y + 3 = 2x - 10
- 2x
y + 3 - 2x = -10
- 3
y - 2x = -13

And this is your final answer. I hope this helps!

please help me asap!!

Answers

Answer:

this is true!!

Step-by-step explanation:

The answer is B) False .

The Pythagorean Theorem is not just for finding the length of a leg, but also the hypotenuse. You can also use it for finding the distance between two points on a coordinate plane.

hope this helps !

Can someone help and answer this problem please!

Answers

Answer:

C.) [tex]\frac{a^6}{b^5}[/tex]

Step-by-step explanation:

[tex]\frac{a^2b^{-7}}{a^{-4}b^{-2}}[/tex]

Use the quotient rule [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] :

[tex]a^{2+4}b^{-7+2}\\\\a^6b^{-5}\\\\[/tex]

Use the negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] :

[tex]a^6*\frac{1}{b^5}\\\\\frac{a^6*1}{b^5}\\ \\\frac{a^6}{b^5}[/tex]

:Done

Answer:

D

Step-by-step explanation:

[tex]\dfrac{a^2b^{-7}}{a^{-4}a^{-2}}=\\\dfrac{a^2}{a^{-4}}\cdot \dfrac{b^{-7}}{b^{-2}}=[/tex]

[tex]a^6b^{-5}[/tex], or option D. Hope this helps!

3(s+100)/4 solve for s

Answers

Answer:

-100

Step-by-step explanation:

If you want to solve for s make the equation= 0

3(s+100)/4 = 0

Which is an equation of an asymptote of the hyperbola?
A) y=-3x+8
B) y=3X+10
C) y=-1/3x
D) y=1/3x+2

Answers

The answer would be B. 3x + 10

Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%

Answers

Answer:

B.

Step-by-step explanation:

radius of dart board = 18 inches

radius of bull's eye= 4 inches

(4/18)^2= about 04.9%

so B. 4.9% is your answer

pls help... Find the area of the following circle ​

Answers

Answer:

=94.985m²

Step-by-step explanation:

Area = πr²

π=3.14

r=5.5

-

  Find the radius,

         11/2=r

          r=5.5

-

Area=

3.14x 5.5x 5.5

3.14x30.25

=94.985m²

PLS HELP WILL MARK BRAINLIEST 20PTS

Answers

Answer:

8(59 1/4 x 1) -58 = 100

Step-by-step explanation:

This would simplify to x = -2 1/10  or x = 50/237

As 100/474 = -2 1/10 or -50/237

We balance the 8. then we balance the 50ml so that 100/424 = -25/106 = -2  4/10 so we see that 50ml minimum in the problem is required and this creates a 1/8 increase with each pump.

Proof is the difference of -2 1/10 to -2 4/10 = 1/8 increase in the resulting division of 474ml divided by 8ml

5 friends go out to lunch and order 3 large pizzas. The friends divided the pizzas evenly. Find how much pizza each friend got as a decimal​

Answers

Answer:4.8 slices

Step-by-step explanation:there are 8 slices in a pizza times 3 pizzas divided by 5 friends

Each of the 5 friends gets 0.6 of a pizza when they evenly divide 3 large pizzas.

When 5 friends go out to lunch and order 3 large pizzas, dividing the pizzas evenly, we can calculate the amount of pizza each friend got. To start, we need to determine the total amount of pizza available in terms of 'pizza units'. Since there are 3 pizzas and 5 friends, we divide the pizzas into 5 equal parts. This means that each of the 3 pizzas is divided into 5 slices (assuming each pizza can be divided into equal parts).

We can represent this as a fraction where the numerator is the total number of pizzas (3) and the denominator is the number of friends (5). So, each friend gets
3/5 of a pizza. Now, converting that fraction into a decimal, we divide the numerator by the denominator. Thus, 3 divided by 5 equals 0.6. Therefore, each friend gets 0.6 of a pizza as a decimal.

Answer Three of these question and you will be the brainliest. Answer this with solution please

1) Which comparison is correct?

|5| > 7
7 < |7|
|-3| > |-4|
-5 < -4

2) In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an inequality statement comparing the numbers, using the symbol > or <.

-13, -10

3) Which inequality statement is true?

3/4 > 0.80
0.50 >
3/4 < 0.80
7/15 > 0.50

Answers

Answer:

1.  -5<-4

2. -13<-10 ( On horizonal x-axis -13 is on the left of -10)

3. 3/4<0.8

Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Time (month) Weight (lb)
2 __
__ 20
6 __
10 50

Answers

2, 4, 6, 10
10, 20, 30, 50

To complete the table of equivalent ratios, we established a simplified ratio of 1 month to 5 lb from the given information, then we used this to calculate the missing values: in 2 months the weight is 10 lb, corresponding to 20 lb there are 4 months, and in 6 months the weight is 30 lb.

To find the missing numbers in the table of equivalent ratios, we need to look for a pattern or use cross-multiplication. We can see from the given information that in 10 months the weight is 50 lb. Using this information, we can set up a ratio comparing time to weight. Let's fill out the table with the equivalent ratios.

Step-by-step Calculation

Take the given ratio of 10 months to 50 lb. This can be simplified to 1 month to 5 lb.

Now that we have the basic ratio, we can find the missing values. For 2 months, we multiply 2 by 5 lb, giving us 10 lb for the first missing number.

To find the time that corresponds to 20 lb, we take 20 lb and divide it by 5 lb/month, giving us 4 months for the second missing number.

For 6 months, we multiply 6 by 5 lb, which gives us 30 lb for the third missing number.

Now we can fill in the table:

Time (month): 2, Weight (lb): 10

Time (month): 4, Weight (lb): 20

Time (month): 6, Weight (lb): 30

Time (month): 10, Weight (lb): 50

The Unique Glass Company reported sales of $24 million in 1995, and sales increased by 15% each year for the next 10 years.
Write the rule (formula) to determine the company's sales (in $ million) in each year since 1995. (Hint: Let n = 1 represent 1995).

Answers

Answer:

n + 1 = 24 million x 1.15

Step-by-step explanation:

The sales is increased 15 percent, so every year 24million is multiplyed with 1.15 to get the result... so yea

Question 2

Calculate the company’s sales in the year 2003.

Explanation: The formula to calculate sales in the nth year is an=24(1.15)n-1

2003 is the 8th year (i.e., n = 8), so:

a8=24(1.15)7

a8=63.84

Answer: Sales in 2003 were $63.84 million.

This is the answer on Edmentum I swear!


PLEASE NOTE: All questions below use the same scenario. You must convert the months to years. A certain college that four students want to attend charges of $8,008 for tuition and fees each year. Room and housing are an additional $8,392 per year. Calculate how much money each student and family will need to save for the first year of college.

1. How much money will the student and family below need to save for the first year of college?

Scholarship - $1,000

Grant - $1,000

Student Loan - $4,500

Months - 42


a. $16,400

b. $6,500

c. $2,828.57

d. $235.71

2. How much money will the student and family below need to save for the first year of college?

Scholarship - $6,000

Grant - $500

Student Loan - $4,500

Months - 24


a. $2,700

b. $16,400

c. $11,000

d. $225.00

3. How much money will the student and family below need to save for the first year of college?

Scholarship - $10,000

Grant - $2,000

Student Loan - $0

Months - 18


a. $16,400

b. $4,400

c. $244.44

d. $2,933.33

4. How much money will the student and family below need to save for the first year of college?

Scholarship - $3,000

Grant - $2,000

Student Loan - $4,500

Months - 39


a. $6,900

b. $176.92

c. $2,123.08

d. $16,400

Answers

Answer:

1.) C

2.) A

3.) D

4.) C

Step-by-step explanation: Given that the

$8,008 for tuition and fees each year.

Room and housing are an additional $8,392 per year.

Total = 8008 + 8392 = $16400

1.) Scholarship - $1,000

Grant - $1,000

Student Loan - $4,500

Months - 42

Yearly = 42/12 = 3.5 years

Total support = 1000 + 1000 + 4500

= $6500

Savings = 16400 - 6500 = 9900

First year savings = 9900/3.5

= 2828.57 dollars

2. Scholarship - $6,000

Grant - $500

Student Loan - $4,500

Months - 24

Yearly = 24/12 = 2

Support = 4500 + 6000 + 500

= $11000

Savings = 16400 - 11000

= 5400 dollars

First year savings = 5400/2

= 2700 dollars

3.) Scholarship - $10,000

Grant - $2,000

Student Loan - $0

Months - 18

Yearly = 18/12 = 1.5

Support = 10000 + 2000 = $12000

Savings = 16400 - 12000

= 14400 dollars

First year savings = 4400/1.5

= 2933.33 dollars

4.) Scholarship - $3,000

Grant - $2,000

Student Loan - $4,500

Months - 39

Yearly = 39/12 = 3.25

Support = 3000 + 2000 + 4500

= 9500 dollars

Savings = 16400 - 9500 = $6900

First year savings = 6900/3.25

= $2123.08

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