The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure
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.
plz help 20 points if you get it right and I will give you brainliest
Answer:
The first one cannot be simplified
reason: usually when simplifying an expression you combine like terms but in the given expression there are no like terms
An example of like terms would be 6a and 9a
Essentially what i am saying is that the variables have to be the same in order for them to be combined
The second one is 36r
This is the answer because they tried to combine like terms that aren't similar
r and f are not the same variable therefore they cannot be combined
Hope this helps :)
What is 3 + 1
What is it
uh it's 4 yes. the answer would be 4
Answer:
it's 4
hope it is helpful to you
if you can help tyyyy :))))
Answer: it should be 5+3+4+11=23
Step-by-step explanation: when you look for the volume you add all the numbers. hope it helps :)
plz mark as branlist
What are the coordinates of points P and S?
A. P(4,-4) and S(3,-2)
B. P(4,-4) and S(-2,-3)
C. P(-4,-4) and S(-3,-2)
D. P(-4,4) and S(-3,-2)
9514 1404 393
Answer:
D. P(-4,4) and S(-3,-2)
Step-by-step explanation:
The first coordinate is the number of units right of the vertical y-axis. Point P is 4 units left, so has an x-coordinate of -4. (Eliminates choices A and B)
The second coordinate is the number of units above the horizontal x-axis. Point P is 4 units up, so has a y-coordinate of +4. (Eliminates choice C)
The coordinates of points P and S are ...
P(-4,4) and S(-3,-2) . . . . . matches choice D
Answer:the answer is D. P(-4,4) and S(-3,-2)
Step-by-step explanation:took the test and got it right
Plz help meeee! I need help on this math problem!
HELP ME PLZZZZZZZZZZZZZZ
Given:
The quadratic equation is
[tex]y=3x^2-18x+15[/tex]
To find:
The x-coordinate and y-coordinate of the vertex.
Solution:
If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex], then the vertex is defined as:
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
If [tex]a<0[/tex], then the function has a maximum at the vertex and ff [tex]a>0[/tex], then the function has a minimum at the vertex.
We have,
[tex]y=3x^2-18x+15[/tex]
Here, [tex]a=3,b=-18,c=15[/tex].
Since [tex]a=3>0[/tex], therefore the function has a minimum at the vertex. So, fill min in first blank.
Now,
[tex]\dfrac{-b}{2a}=\dfrac{-(-18)}{2(3)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{18}{6}[/tex]
[tex]\dfrac{-b}{2a}=3[/tex]
Putting x=3 in the given function, we get
[tex]y=3(3)^2-18(3)+15[/tex]
[tex]y=27-54+15[/tex]
[tex]y=-12[/tex]
Therefore, the vertex is at point (3,-12).
HELP ASAP PLS SOLVE THE PROBLEM IN THE PIC I GIVE LOTS OF POINTS TO CORRECT ANSWER
Answer: C
Step-by-step explanation:
The first 2 letters match but the third one doesn’t and S= match so it is SSA
find the surface of the rectangular prism
Answer:
The surface of the rectangular prism is 42
l × w × h
The length is 3 width is 2 and the height is 3.
Hope this helps have an awesome day❤
Which function models the relationship shown by the line?
A
y = -3.3 + 2
B
y
= 12 + 2
с
y= -3x + 6
D
y=-3x + 6
1 3/7-2/7 show work please
Answer: 1 1/7
Step-by-step explanation: 3/7 - 2/7 = 1/7
here the answer here you Step-by-step explanation:
here an the 1 1/7
The diameter of a circle is equivalent to the
radius squared.
True
False
Explain your answer
Answer:
Step-by-step explanation:
The diameter of a circle is twice the radius, so the statement is false.
Harvey the wonder hamster can run 3 1/6km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour
Answer:
his average speed is 12 2/3 kilometers per hour.
Step-by-step explanation:
Faye can sort 150 recyclable items in 3 minutes Based on the ratio shown how many recyclable items can Faye sort in 4 minutes?
Answer:
200 recyclable items
Step-by-step explanation:
The computation of the number of recyclable items would be sort in 4 minutes is shown below:
Given that
There is 150 recyclable items in 3 minutes
So in 4 minutes, the no of recyclable items is
= 150 × 4 ÷ 3
= 200 recyclable items
What is the value of x?
Enter your answer in the box.
Answer:
x+64= 90
x = 90 - 64
x = 26°
thanks
Is 17,144,145 a right triangle or not a right triangle?
Answer:
Not a right triangle. A right angle needs a 90 degree angle.
If anyone can do these or atleast like 3 I swear to god I’ll be eternally in your debt it should be pretty easy too, like 7th grade level stuff!
Answer:
11) x = -5
12) x = -12
13) x = 6
14) y = -9
15) No solution
16) Infinite Solutions
Step-by-step explanation:
11)_______________
5x + 10 = 3x
-5x -5x
10 = -2x
divide by -2
x = -5
12)_______________
6p + 4 = 5p - 8
+8 +8
6p + 12 = 5p
-6p -6p
12 = -1x
x = -12
13________________
3x - 22 = -8x + 44
+22 +22
3x = -8x + 66
+8x +8x
11x = 66
x = 6
14________________
-11(k + 4) = 55
-11y - 44 = 55
+44 +44
-11y = 99
y = -9
15________________
6(c - 8) = 5(2c - 12) - 4c
6c - 48 = 10c - 60 - 4c
6c - 48 = 6c - 60
+48 +48
6c = 6c - 12
-6c -6c
No Solution
16________________
-12y + 21 = -3(5y - 7) + 3y
-12y + 21 = -15y + 21 + 3y
-12y + 21 = -12y + 21
both sides are the same, so
Infinite Solutions
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Hi! My question is..
What is the value of x?
A. 20
B. 40
C. 45
D. 85
Thank you.
Answer:
B. 40
Step-by-step explanation:
We know that the large angle is 90 degrees as it is a right angle. Thus, [tex]10+2x=90[/tex] (I don't know how to include degree symbols). We solve: [tex]2x=80[/tex], so then [tex]x=40[/tex]. Thus, x is forty degrees and the answer is B.
Answer:
40
Step-by-step explanation:
There is a bisector splitting a 90-degree angle into 2 parts, we are given that one of them is 10. This can only mean the other side is 80 degrees in total.
and 80/2 is 40
what is 37 feet into yards and feet
Answer:
12 yards and 1 foot
Step-by-step explanation:
The beginning balance on the monthly bank statement for Peyton's checking
account was $346.19, and the ending balance was $198.34. What can be said
about Peyton's transactions for the month?
O A. He had $147.85 more in credits than in debits.
O B. He had $544.53 more in credits than in debits.
.
O c. He had $544.53 more in debits than in credits.
O D. He had $147.85 more in debits than in credits.
Answer:
A: He had $147.85 more in credits than in debits.
Step-by-step explanation:
2. Which of the following is an equation?
A. y/9 - 3
B. 9 - 2
C. y/9 = 3
D. 7 + y
Which line is perpendicular to LD
Answer:
C.) YT
Step-by-step explanation:
Parallel lines are horizontal lines
Perpendicular lines mean lines that are vertical
Hope this helps! :)
Answer:
[tex]\Large \boxed{\sf D}[/tex]
Step-by-step explanation:
Perpendicular lines are lines which make an angle of 90° with each other.
Line QY is perpendicular to line LD
PLEASE HELP
(7th grade math) The decimals chart in this lesson shows that we line up
the decimal points when we add or subtract decimal
numbers. Why do we do that?
Answer:
so that when we subtract we are subtracting from the corresponding decimal places
Step-by-step explanation:
Cedric is 20 years younger than Steve. The sum of their ages is 37. How old
is Cedric?
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]17[/tex] [tex]because[/tex] [tex]you[/tex] [tex]needed[/tex] [tex]to[/tex] [tex]subtract[/tex] [tex]37 and20[/tex]
[tex]- Yaoii[/tex]
Which expression is equivalent to 3 x 3 x 3 x 3?
Answer:
3^4
Step-by-step explanation:
3 to the power of 4
Answer:
I think an answer would be 3 to the third or fourth power
or
9x9
Step-by-step explanation:
3x3 = 9 so if you split it up you have two 3x3s
9x9
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answer:
x = 55
Step-by-step explanation:
First set the equations to equal eachother since theyre corresponding.
3x - 60 = x + 50
Then just solve for x.
3x - 60 = x + 50
+60 +60
3x = x + 110
-x -x
2x = 110
/2 /2
x = 55
cereal A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the
sold and in the
were sold. In the next week, 53 boxes of the cereal were sc
third week 86 boxes of the cereal were sold. The number of
boxes of cereal sold each week represents an arithmetic sequence.
cereal sold in week n? What is the explicit rule for the arithmetic sequence that defines the number of boxes of
Answer:
33n - 13
Step-by-step explanation:
20, 53, 86?
That's an arithmetic sequence with the common term being 33.
The explicit formula? 33n - 13. :)
The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi.
Answer:
The circumference is 50.24in.
Step-by-step explanation:
All you have to do is multiply the diameter by 3.14. Easy and so simple
The circumference of the given wheel is 50.24 inches.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
We have been given data as follows:
The diameter of the circle (d) = 16 cm
Circumference of the circle = πd
Substitute the values in the above formula and we get
Circumference of the circle = 3.14 × (16)
Apply the multiplication operation, and we get
Circumference of the circle = 50.24
Thus, the circumference of the given wheel is 50.24 inches.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
#SPJ6
A new taxi company, Littleton Cabs, just opened in town. A cab ride for mile costs 8.5+2 m dollars.Polly took a 14-mile cab ride to the airport.
Answer:
10.5 this is the answer
Step-by-step explanation:
10.5
When does a quadratic equation in the form ax2 + b = c have only one real solution
when the discriminant is = 0