Answer:
A.) 67.78
B.) 76.48
C.) 87.34
Step-by-step explanation:
Given that:
Mean (m) = 80.6
Standard deviation (σ) = 10
A.) 10th percentile :
10th percentile corresponds to a Zscore of - 1.282
Zscore = (x - m) / σ
-1.282 = (x - 80.6) / 10
-12.82 = x - 80.6
x = -12.82 + 80.6
x = 67.78
B.)34th percentile of blood pressure ;
34th percentile corresponds to a Zscore of - 0.412
Zscore = (x - m) / σ
-0.412 = (x - 80.6) / 10
-4.12 = x - 80.6
x = - 4.12 + 80.6
x = 76.48
C.) third quartile = 75% = 0.75
75th percentile corresponds to a Zscore of 0.674
Zscore = (x - m) / σ
0.674 = (x - 80.6) / 10
6.74 = x - 80.6
x = 6.74 + 80.6
x = 87.34
a)The 10th percentile of blood pressure is 67.78.
b)The 34th percentile of blood pressure is 76.48.
c)The third quartile of the blood pressure is 87.34.
Mean blood pressure μ= 80.6
Standard deviation σ= 10
From the normal standard table, the z-score corresponding to the 10th percentile = - 1.282
What is a z-score?A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
z= (x-μ) /σ
-1.282 = (x - 80.6) /10
-12.82 = x - 80.6
x = -12.82 + 80.6
x = 67.78
So, the 10th percentile of blood pressure is 67.78.
Similarly, the 34th percentile of blood pressure =76.48
The third quartile of the blood pressure =87.34
Therefore a) the 10th percentile of blood pressure is 67.78.
b)the 34th percentile of blood pressure is 76.48.
c)The third quartile of the blood pressure is 87.34.
To get more about the z-score visit:
https://brainly.com/question/25638875
If a recipe calls for 4 1/2 cups of flour for 48 cookies, how much flour would be needed for 24 coockies?
Answer:
2 1/4
Step-by-step explanation:
melody won 8 tokens. Trish won 2 more than 5 times as many tokens as melody. What computation will give the number of tokens Trisha won?
Answer:
8^5 + 2 = Trisha's Tokens
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
8 x 5 +2
Casey is using a recipe that requires 2/3 Cups of flour for every 2 cups of milk. If Casey uses 5 cups of milk how many cups of flour are needed
Answer:
15 cups of flour
Step-by-step explanation:
HELP IM GIVING BRAINLIEST
Answer:
AB, BC, AC
Step-by-step explanation:
Hopefully I helped!! :)
The Washington monument is 555 feet 5 1/8 inches tall and weighs 90,854 tons. The monument is topped by an aluminum square pyramid. The sides of the pyramid’s base measure 5.6 inches, and the pyramid is 8.9 inches tall. Estimate the slope that a face of the pyramid makes with its base.
Answer:
3.2
Step-by-step explanation:
Imagine a straight line from the top of the pyramid to the base, the point where the line will meet the base will be half the side of the pyramid. This will form a right angles triangle.
Slope is given by
[tex]\text{Slope}=\dfrac{\Delta y}{\Delta x}\\\Rightarrow \text{Slope}=\dfrac{8.9}{\dfrac{5.6}{2}}=3.17857\\\Rightarrow \text{Slope}\approx3.2[/tex]
The slope of the face of the pyramid is 3.2
The lowest point in New Orleans is 8 feet below sea
level. You can represent that numerically using
The highest point in Chicago is 735 feet above sea
level. You can represent that numerically using
Answer:
[tex]-8,+735[/tex]
Step-by-step explanation:
The lowest point in New Orleans is 8 feet below sea level.
This can be represented numerically using [tex]-8[/tex]
(negative sign denotes below sea level)
The highest point in Chicago is 735 feet above sea level.
This can be represented numerically using [tex]+735[/tex]
(positive sign denotes above sea level)
Answer:
This is correct but if some people are confused it’s a negative integer and a positive integer
Step-by-step explanation:
Complete the sentence. |-0.05| =
Answer:
|0.05|
Step-by-step explanation:
no absolute value can be negative
Answer:
0.05
Step-by-step explanation:
The lines outside the number mean absolute value. The absolute value of a number is how far it is from 0, so it's always positive. Basically, you just swap the sign of whatever number you are looking at. In this case, absolute value of -0.05 would simply be 0.05. Hope this helped!
1. tentukan hasil dari 243⅔?
2. tentukan hasil dari
√32 +3√18-2√50?
3.tentukan hasil dari 1000 ⅔×64⅙?
4. resionalkan bentuk akar dari 3/4+√2?
5. hasil dari 2√3×√18:√2 adalah?
6 bentuk sederhana dari :12/3+√3 adalah ?
7. hasil dari √1000—2√40 adalah
8. hasil dari 2- ¹+3-¹ adalah?
9. bentuk dari 5√5, jika dirsionalkan penyebutnya adalah?
10. hasil dari 2√3×√18:√6 adalah ?
[tex]tolong bantu nya[/tex]
Penjelasan langkah demi langkah:
1)
[tex]= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49[/tex]
2) √32 +3√18-2√50
= √16*2 +3√9*2-2√25*2
= 4√2 + 3(3√2)-2(5√2)
= 4√2 + 9√2-10√2
= 13√2-10√2
= 3√2
3) 1000 ⅔×64⅙
[tex]= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200[/tex]
4) 3/4+√2
[tex]3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }[/tex]
5) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
6) 12/3+√3
= 4+√3
7) √1000—2√40
= 10 -2 (√4*10)
= 10-2(2√10)
= 10 - 4√10
8) 2- ¹+3-¹
[tex]= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}[/tex]
9)
[tex]\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}[/tex]
Jika pernyataannya opsional, penyebutnya adalah 1
10) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
jessie worked four more hours than Ben. They worked a total of 25 hours. How many hours did each boy workz?
Answer:
jessie: 14.5
ben: 10.5
Each morning, Jessica's mom drives 3.85 miles to take Jessica to school, then 4.9 miles to work. How many miles does
Jessica's mom drive each morning? Explain how you solved the problem.
New help math please I am stuck
Answer: Can u post a question?
Step-by-step explanation:
Solve the system of equations: y=x^2, y=x+6
A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)
Help I’m stuck and confused
Answer:
-8
Step-by-step explanation:
A triangle is always 180 degrees
(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)
65 + 40 = 105
180 - 105 = 75
75 - 83 = -8
Answer:
the angle itself is 75 degrees so x=-8
Step-by-step explanation:
Read the situations below and determine which relationship is not functional.
Situation 1: a cell phone bill to the amount of minutes used
Situation 2: the perimeter of a square to the length of one of the sides of a square
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned
Answer:
Situation 3 is not functional
Step-by-step explanation:
Here, we want to determine if there exists a functional relationship between the properties in each situation.
For there to exist a functional relationship, then one of the factors in the situation must be dependent on the other factor in the situation.
Let us consider the situations individually now;
Situation 1
There exists a functional relationship here. This is because the higher the minutes used, the higher the cell phone bill and the lower the minutes used, the lower the cell phone bill. This is because there exists a fixed rate of charge per minute
Situation 2
There exists a functional relationship here too.
This is because, the we cannot find the perimeter of the square without knowing the measure of the sides of the square. That is why there is a mathematical formula that links the perimeter of the square to the sides of the square.
In a case where we have the perimeter as P and the sides as L
Then the functional equation linking both is;
P(l ) = 4 L
Situation 3;
There is no functional relationship here. The amount owed per each credit card is tied to the credit card in question.
There is no way the total amount owed by a person is distributed across the number of credit cards the person have. Each credit card has its own money charged on it monthly due to the activities on it which is independent on the activities of the other credit cards
For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.
Answer:
First, let's write our equation in a general way.
We know that:
1 cubic foot weighs 80 pounds.
The container weighs 40 pounds.
Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.
We can write this as:
w(n) = 40lb + n*80lb
This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.
You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.
Answer
ok, Just plot the points at (0,40) and (2,200) :))
HELP ASAP!!!!!!!!!!!!!!
Answer: is it a function-yes
why: none of the y values are the same
Step-by-step explanation:
A squirrel needs to look for some nuts in the forest every day. It can find 24 nuts on a sunny
day and 10 nuts on a rainy day. If the squirrel found 98 nuts last week, write and solve a
system of equations in order to find:
How many sunny days were there in last week? |
sunny days
How many rainy days were there in last week?
rainy days
Answer:
24x+10y=98
2sunny days
5rainy days
Step-by-step explanation:
x=number of sunny days
y=number of rainy days
(2*24)+(10*5)=98
vualah :)
Find FH. please and thank you :)
Answer:
[tex]22[/tex]
Step-by-step explanation:
If FG= 8
and GH=14
G is a midpoint
To find FH you would add 8 and 14.
[tex]8 + 14 = 22[/tex]
Answer:
add it FH +GH
=8+14
=22 ans.....
Calculus please help me
(1) f(x) = (1 - x³) / (x - 1)
(a) The domain is the set of values that this function can take on. If x = 1, the denominator becomes 0 and the function is undefined. Any other value of x is okay, though, since for x ≠ 1, we have
f(x) = (1 - x³) / (x - 1) = - (1 - x³) / (1 - x) = -(x² + x + 1)
which is defined for all x. This also tells us that the plot of f(x) is a parabola with a hole at x = 1. So, the domain is the interval (-∞, 1) ∪ (1, ∞).
(b) The range is the set of values that the function actually does take on. Taking the simplified version of f(x), we can complete the square to write
-(x² + x + 1) = -(x² + x + 1/4 - 1/4) - 1 = -(x + 1/2)² - 3/4
which is represented by a parabola that opens downward, with a maximum value of -3/4. So the range is the interval (-∞, -3/4).
(c) Judging by the plot of f, the limits at both negative and positive infinity are -∞.
(d) Same answer as part (a).
(2) f(x) = x³ - x
(a) The derivative of f at x = 3, and hence the slope of the tangent line to this point, is
[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{f(3+h)-f(3)}h[/tex]
[tex]f'(3)\displaystyle=\lim_{h\to0}\frac{((3+h)^3-(3+h))-24}h[/tex]
[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{(27+27h+9h^2+h^3)-(3+h)-24}h[/tex]
[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{26h+9h^2+h^3}h[/tex]
[tex]f'(3)=\displaystyle\lim_{h\to0}(26+9h+h^2)=\boxed{26}[/tex]
(b) The tangent line at x = 3 has equation
y - f (3) = f ' (3) (x - 3)
y - 24 = 26 (x - 3)
y = 26 x - 54
We also want to find any other tangent lines parallel to this one, which requires finding all x for which f '(x) = 26. We could use the same limit definition as in part (a), but to save time, we exploit the power rule to get
f '(x) = 3 x² - 1
Then solve for when this is equal to 26:
3 x² - 1 = 26 ==> x² = 9 ==> x = ±3
The other tangent line occurs at x = -3, for which we have f (-3) = -24, and so the equation for the tangent is
y - f (-3) = 26 (x - (-3))
y + 24 = 26 (x + 3)
y = 26 x + 54
(01.04 MC)
What is the slope of the line which passes through (2,5) and (3, 6)? (5 points)
Answer:1
Step-by-step explanation:6-5/3-2=1/1
Slope -2/3 through (-9,10)
Answer:
y = − 2 /3 x + 4
Step-by-step explanation:
Answer: y=-2/3x + 4
Step-by-step explanation:
Plz help this is a quick question
Answer:
No it is the ticked one........
Hope it helps.......
8 groups of ___ hundredths is 0.32
Answer:
the answer is 0.4 The reason is because 0.4 x8=0.32
Step-by-step explanation:
y = -(x + 5)2-1
Find vertex
Answer:
The vertex is (-5, -1)
Step-by-step explanation:
Standard vertex form is a(x - b)^2 + c where (b, c) is the vertex.
70 + x + 55 + 30 = 180
Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.
[tex]70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25[/tex]
We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
Answer:
25. Hope this helps :)
Step-by-step explanation:
180-70=110
110-55=55
55-30=25
Your missing answer would be 25
X=25
The length of a rectangle is 2 times the width. If the perimeter is to be less than 96 meters. What are the possible
values for the width? (Use w as the width)
Preview
TIP
Enter your answer using inequality notation. Example: 3 <=w<4
Use or to combine intervals. Example: w< 2 or w >= 3
Enter all real numbers for solutions of that type
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243,
5+4)
Enter DNE for an empty set. Use oo to enter Infinity.
Answer:
W>16
Step-by-step explanation:
The formula for calculating the perimeter of a rectangle:
P = 2L+2W
L is the length of the rectangle
W is the width of the rectangle:
Given
P = 96m
If the length of a rectangle is 2 times the width, then L = 2W
Substitute into the formula:
Since the perimeter is less than 96m
96 < 2(2W)+2W
96 < 4W+2W
96 < 6W
Divide both sides by 6:
96/6 < 6W/6
16 < W
W>16
Hence the possible values of the width are all values greater than 16.
Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?
Answer:
39pounds 6oz
Step-by-step explanation:
15x2=30
1x30=30pounds
5x30=150oz
30p+150oz=39.37500
37500p=6oz
39pounds and 6 oz
Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain View Park today, 72 had a license, and 18 did not. (No one fished at both parks.)Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license?
Answer:
The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.
Step-by-step explanation:
Denote the events as follows:
X = a fisher at Clearwater Park had a fishing license
Y = a fisher at Mountain View Park had a fishing license
The two events are independent.
The information provided is:
n (X) = 48
n (X') = 32
n (Y) = 72
n (Y') = 18
Then,
N (X) = n (X) + n (X')
= 48 + 32
= 80
N (Y) = n (Y) + n (Y')
= 72 + 18
= 90
Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:
[tex]P(X'\cap Y)=P(X')\times P(Y)[/tex]
[tex]=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32[/tex]
Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.
HELP ME PLEASE 40 POINTS!!!!!!!
Answer:
The answer is The first one -10/27
Answer:
A
Step-by-step explanation:
Can somebody please help me with this math problem
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct