Answer: 4.27% of adults in the USA have stage 2 high blood pressure.
Step-by-step explanation:
Let x be a random variable that denotes a person with high blood pressure .
Given: Average blood pressure: [tex]\mu=122[/tex]
Standard deviation: [tex]\sigma=22[/tex]
Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.
The probability that an adult in the USA have stage 2 high blood pressure:
[tex]P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.72)\\\\=1-0.9573\ \ [By\ p-value\ table]\\\\=0.0427=4.27\%[/tex]
Hence, 4.27% of adults in the USA have stage 2 high blood pressure.
50 POINTS FOR THIS IF ANYONE CAN GIVE ME A DECENT ANSWER AND BRAINIEST ANSWER
help me sketch the graph of x/4 + y/-3 = 1?
give me a reason why you put a mark there on graph thanks.
PLEASE
Go from 1x down 3 and right 4
Then draw a line connecting it
Can someone help me
9514 1404 393
Answer:
vertical50°Step-by-step explanation:
Angles BGC and FGE share vertex G and are composed of opposite rays. This makes them vertical angles.
Angle BGC and CGD make up a right angle, so they are complementary. That makes angle BGC equal to 90° -40° = 50°.
Vertical angles have the same measure, so ∠FGE = 50°.
Sales total : $155,000
Commission : 3.4%
How much is the commission?
Answer:
5,270
Step-by-step explanation:
155,000 x 3.4%
Answer:
5270
Step-by-step explanation:
multiply 155,000 by 3.4 and then divide it by 100
155,000 x 3.4=527,000
527,00 divided by 100 = 5270
Terry’s garden is in the shape of a quarter-circle with radius 24 meters. What is the area of her garden?
Answer: 1809.56 let me know if it is right?
Step-by-step explanation:
hello! I am currently failing math class and if I don’t get it together I might have to repeat the grade! so I really need you help and if you have the answer let me know in the comments please !! <3 :)
question⬇️⬇️
Hannah ran 10 miles. how many feet is this ?
10 miles in feet is 52800ft.
1 mile in feet is 5280 and when multiplying by 10, you usually just add a zero at the end of the number which makes 5280 turn into 52800!
If this is incorrect please don't refrain to tell me and I'll correct my answer. Thank you.
A virus has infected 400 people in the town and is spreading to 2.5% more people each day.
Write an exponential function to model this situation, then find the number of people that will be
infected in 10 days.
Answer:
3725 infected people in 10 days
Step-by-step explanation:
that is the answer
In the song, 7 pounds, 5 ounces was the median weight of the students at birth. Which of these is correct?
Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.
Step-by-step explanation:
find the surface area of a cylinder with the height of 10 inches and a base diameter of 6 in
Answer:
339.24
Step-by-step explanation:
To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2
The radius is half the diameter do r=3
3.14(3)^2 should give you about 28.27.
This is the area of the top and bottom of the cylinder.
Now, do 28.27x10=282.7 to find the height surface area.
282.7+28.27+28.27=Surface area.
SA= about 339.24
What is the value of x?
If your answer is not an integer,
express it in simplest radical form.
Answer:
±8√2
Step-by-step explanation:
Somebody HURRY I NEED HELP
Answer:
1/5^3
Step-by-step explanation:
5 ^ -3 = 1 / 5^3 = 1 / 125
Solve the following equations for x
13−(2x+2)=2(x+2)+3x
Answer:
x = 7
Step-by-step explanation:
Distribute the 2 on the right and the -1 on the left: 13 - 2x - 2 = 2x + 4 + 3x
Combine like terms on each side of the equation: 11 - 2x = 5x + 4
Add 2x to both sides, and subtract 4 from each side: 7 = 7x
Divide both sides by 7: x = 7
Someone please help me find the area I’ll give brainliest
Answer:
The area of the rectangle? If so it's 240.
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
The answer could be either
C or B
What is the value of x in the figure below?
Answer:
x = 25°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
The given triangle is a right triangle which means one of its angle has a measure of 90°
since thd other angle is given as 65 to calculate x we just add the given measures and subtract it from 180
90° + 65 + x = 180
155 + x = 180 subtract 155 from both sides
x = 25°
Please help me asap this is my math homework
Answer:
3.5 would be the answer
Step-by-step explanation:
Find the AREA of the triangle below.
Answer:
212.5
Step-by-step explanation:
a=b*h/2
b=25
h=17
25*17 =425
425/2=212.5
a=212.5
SOMEONE, PLEASE SEND HELP
A bag has 8 green, 2 yellow, 6 blue, and 4 red marbles. What is the probability of selecting a green marble, keeping it, and then selecting another green marble?
4/25
1/400
1/380
14/95
Answer:1/400
Step-by-step explanation:
because you have to add
Simplify the following expression.
Answer:
x^(4/21)
Step-by-step explanation:
Find the measure of the arc.
D
А
146°E
B
mĒDF = [?]°
Enter
Answer: 214
hope this helped.
The measure of the arc is 214 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The measure of the arc FE is 146 degrees.
Measure ED is 90 degrees.
To find the measure of the arc EDF we have to find the measure of DF.
146+90+x=360
236+x=360
Subtract 236 from both sides
x=360-236
x=124
Now let us find the arc measure EDF =Measure of ED + Measure of DF
=90+124
=214 degrees
Hence, the measure of the arc is 214 degrees
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ7
A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
Yes it is, assuming we decide to use the Pythagorean Theorem to find the hypotenuse (10) it'll be possible considering the formula is c²=√a²+b²
(c being the longest side of the triangle)
a= 6 and b= 8
I need the answer for this one please
Answer:
Step-by-step explanation:
65
Use the table that shows the results of a class poll.
Question
Yes
No
Do
you walk to school?
18% yes
82% no
Is there a pet in your home?
14
—— yes
25
11
—— no
25
Do you play on a sports team?
0.42 yes
0.58 no
Which category in the table shows the least portion of the class?
Answer:
The people who said Yes to having a pet in their home is greater
Step-by-step explanation:
We are asked to compare 18% and 14/25. Let's get them to their lowest common denominator:
18% = 18/100
14/25 * 4 = 56/100
18/100 is clearly much less than 56/100. If you don't want to write all this out, you can also eyeball that 14/25 is over half, whereas 18% is not close to half.
I hope this helps! Sorry if its doesn't though:( I hope you have a amazing day! And maybe you could mark this brainly?
james jogged around the track 0.68 hours at an average speed 28.9 miles per hour how far did he jog?
Answer:
Step-by-step explanation:
0.68hr(28.9mi/hr)=19.652mi
THE PERIMETER OF ABCD
Answer:
You have to add all of them up, I hope I helped you!
Step-by-step explanation:
I just have a few minutes on the computer left so I did the best I could!
Answer:
71
Step-by-step explanation:
1/8+ c = 4/5
27/20 = c
Answer: the answer will be for c is 27 over 40
Step-by-step explanation:
Alex has 30,000 in his savings account that earns 10%
annually.
How much interest will he earn in one year?
Answer:
i dont know im so sorry
Step-by-step explanation:
i hope u find ur answer
A large school district is considering implementing a program that, if successful, would improve the reading scores of its students by 10 points. The current reading scores for the district are normally distributed with a mean of 25 and a standard deviation of 8. The administrators decide to test the new program in one school of 200 students. What is the standard deviation of the comparison distribution
Answer:
The standard deviation of the comparison distribution is 0.5657.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
Standard deviation of the population is 8, sample of 200. So
[tex]s = \frac{8}{\sqrt{200}} = 0.5657[/tex]
The standard deviation of the comparison distribution is 0.5657.
3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295. Suppose a school council awards a certificate of excellence to all students who score at least 1900 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 2100
Answer:
0.2333 = 23.33% probability this student's score will be at least 2100.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, and conditional probability.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295.
This means that [tex]\mu = 1490, \sigma = 295[/tex]
In this question:
Event A: Student was recognized.
Event B: Student scored at least 2100.
Probability of a student being recognized:
Probability of scoring at least 1900, which is 1 subtracted by the pvalue of Z when X = 1900. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1900 - 1490}{295}[/tex]
[tex]Z = 1.39[/tex]
[tex]Z = 1.39[/tex] has a pvalue of 0.9177
1 - 0.9177 = 0.0823
This means that [tex]P(A) = 0.0823[/tex]
Probability of a student being recognized and scoring at least 2100:
Intersection between at least 1900 and at least 2100 is at least 2100, so this is 1 subtracted by the pvalue of Z when X = 2100.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2100 - 1490}{295}[/tex]
[tex]Z = 2.07[/tex]
[tex]Z = 2.07[/tex] has a pvalue of 0.9808
This means that [tex]P(A \cap B) = 1 - 0.9808 = 0.0192[/tex]
What is the probability this student's score will be at least 2100?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0192}{0.0823} = 0.2333[/tex]
0.2333 = 23.33% probability this student's score will be at least 2100.
How many 2/3 are in 5?
Answer:
7.5
Step-by-step explanation:
5/(2/3) = 7.5
Find the value of −12 + 8 −(−9). Question 20 options: −13 −5 13 5
Answer:
D) 5
Step-by-step explanation:
-12 + 8 + 9 = 5