Answer:
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
Step-by-step explanation:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
What is the probability of a random person on the street having an IQ score of less than 98?
This is the pvalue of Z when X = 98. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.1333[/tex]
[tex]Z = -0.1333[/tex] has a pvalue of 0.4470
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
PLEASE ANSWER ASAP: Dianna can carry up to 15lbs in her backpack. Her lunch weighs 1 lb, her gym shoes weigh 2 lbs, and her books weigh 1.5 lbs each. Which inequality shows how many books Dianna can carry in her bag if she has her lunch and gym shoes?
Answer: A
Step-by-step explanation:
she can carry 1.5 pounds of books plus the extra 3 pounds as long as its less than or equal to 15 lbs
The inequality that shows the number of books that Diana can carry in her bag if she has her lunch and gym shoes is 3 + 1.5x ≤ 15.
What inequality represents the number of books that Diana can carry?The first step is to determine the total weight of the items in her bag:
1 + 2 = 3lbs
The second step is to determine the inequality sign to use:
the inequality sign to be used is the less than or equal to sign - ≤
The equation becomes: weight of items in her bag + (weight of one book x total number of books) ≤ weight the bag can carry
3 + 1.5x ≤ 15
Adele's Voice:
"Hello, it's me. I was wondering if you could help me with this problem."
Don't send me a link to some website. I do trust it especially if it requires me to download something. Furthermore, Brainly will not accept links to random sites thus deleting the question along with taking away my points. :(
Answer:
a) P(2) =3(2)=6
b) P(10)= 3(10)=30
c) P(s)= 3s
Step-by-step explanation:
P=3s/s =3
A box contains 4 bags of flour. The total mass of all 4 bags is 8kg. What is the mass of each bag in cg?
David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch. What part of the expression represents the amount of tax David has to pay? Explain.
At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?
Melanie earns $97.50 in 6 hours. Earl earns $296.00 in 20 hours. Who earns the higher rate per hour? Explain your answer.
What’s the answer please
Answer:
put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.
Step-by-step explanation:
done.
A red line and a blue line bus both left the stadium at 4:00 p.m.
Red line buses were scheduled to leave the stadium every 6 minutes.
Blue line buses were scheduled to leave the stadium every 8 minutes.
if the buses run on schedule, when is the next time a red line and a Blue line bus will leave together?
Answer:
4:24pm
Step-by-step explanation:
To answer this question, we need to find the LCM (Lowest common multiple) of 6 and 8 to find out when they will leave at the same time again.
To do this we can either list all the prime factors of each one and multiply the non-common ones:
6 = 2x3
8 = 2x2x2
2x2x3 = 24
OR we can list the multiples and find the lowest matching ones:
6 => 6, 12, 18, 24, 30
8 => 8, 16, 24, 32, 40
We can see that 24 is the least common factor.
This means that both busses will leave at the same time 24 minutes after 4pm.
Therefore the next time a red line and blue line bus will leave together is 4:24pm.
Hope this helped!
Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.
Answer:
y = 4;
y = 7;
x = 6
Step-by-step explanation:
Given the rule, y = x/2, find the missing values as shown below:
✔️For the first row, to find y, substitute x = 8 into y = x/2,
y = 8/2
y = 4
✔️For the second row, to find y, substitute x = 14 into y = x/2,
y = 14/2
y = 7
✔️For the third row, to find x, substitute y = 3 into y = x/2,
3 = x/2
3*2 = x
6 = x
x = 6
Which is the graph of f(x) = 100(0.7)?
Answer:
f(x) = y = 70
Step-by-step explanationsince
since 100 · 0.7 = 70
f(x) = y = 70
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
Could somebody please help
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Each point moves to 3 times its original distance from the blue dot. Each length is 3 times as long as the original.
Question
A shirt is on sale for 15 percent off the original price of x dollars. If a customer has a coupon for 5 dollars off the sale price, which of the following represents the price, in dollars, the customer will pay. excluding tax, for the shirt?
0.15x -5
O 0.85x -5
0.85(x - 5)
5-0.85x
Answer:
.85x-5
Step-by-step explanation:
If you say .15x suppose x is 1
.15*1= .15
Is 15% off 1 = .15 no its .85 thats why in these types of problems we do 100%-15%=85% and then .85*x
After deducting the discounts given to the customer, the current price the customer will pay is $(0.85x - 5).
Given parameters:
discount rate of the shirt, = 15%
original price of the shirt, = $x
additional discount on the sales price = $5
To find:
the current price the customer will payNote: the original price of the shirt = 100% of x
The current price of the shirt = original price - given discounts
The current price of the shirt = 100%x - 15%x - 5The current price of the shirt = 85%x - 5Convert the percentage to decimal by dividing it by 100
The current price of the shirt becomes 0.85x - 5Thus, after the discount the customer will pay $(0.85x - 5)
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For which situation could flipping a coin be used to generate a random sample
A: To predict if a machine will be defective or not. B: To predict student performance on an exam. C: To predict the number of peanuts in a container. D: to predict which of four players will win a gold tournament.
I put A but Im not sure.
Answer: B
because its 50/50 chance you'll have heads or tails
[tex]\boxed {\boxed {prove : \: 3 \: is \: greater \: than \: 5 }} [/tex]
3 has more letters than 5. Hence 3 is greater than 5
K Write an expression for the sequence of operations described below. add y to z, then multiply 3 by the result
Answer:
3(y+z)
Step-by-step explanation:
y+z is added first so it is in parentheses and then multiply by the 3
According to the table below, what is the probability that a student chosen at random will be 16 or older?
Age. 13 14. 15. 16. 17. 18
Probability 0.01 0.25 0.30 0.28 0.15 0.01
A. 0.46 B. 0.83 C. 0.41 D. 0.44
Answer:
probability: 0.44
The probability that a student chosen at random will be 16 or older is 0.44 or 44%.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The probability that a student chosen at random will be 16 or older is the sum of the probabilities of selecting a 16-year-old or older student.
P(16 or older) = P(16) + P(17) + P(18)
P(16 or older) = 0.28 + 0.15 + 0.01
P(16 or older) = 0.44
Therefore, the probability that a student chosen at random will be 16 or older is 0.44 or 44%.
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⚠️ Mhanifa, can you help me, please? This is due asap and I will mark brainliest :)
The image is attached. Thanks! (There are two questions.)
Answer:
The domain is the set of x-values:
x = [-4, 4]The range is the set of y-values:
y = [-1, 2]5,8, 21, 17, 10, 11,5
What is the median of the set of numbers?
Answer:
10
Step-by-step explanation:
Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.
Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links
Answer:
-9
Step-by-step explanation:
This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).
f(x)=-9x+2
f’(x)=-9
Write an integer to represent the price of a stock dropping $3
Answer:
-3
Step-by-step explanation:
The integer which represents the price of a stock dropping $3 is ''-3''.
Here,
The price of a stock dropping is $3.
We have to show this number in form of integer.
What is Integers?
An integer is a whole number that can be positive, negative or zero.
Now,
The price of a stock dropping is $3.
Since, the price of a stock is drop,
Hence, it represents by ''- 3''
So, The integer which represents the price of a stock dropping $3 is ''-3''.
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Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
has vertices
Rectangle ABCD
D(4, - 2)
A(1, 2), B(4, 2). C(1, — 2). ane
A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of
(24, 12)
o A
о В!
o D'
9514 1404 393
Answer:
B'(24, 12)
Step-by-step explanation:
The transformation due to dilation by a factor of 6 is ...
(x, y) ⇒ (6x, 6y)
We want to identify the original point, so we can find (x, y) using ...
(24, 12) = (6x, 6y)
(4, 2) = (x, y) . . . . . . divide by 6
The point with coordinates (4, 2) is point B, so the point with coordinates (24, 12) is B'.
assume that the total surface area of the cuboid is 200cm^2 work out the volume of the cuboid
Answer: 187.5
Step-by-step explanation:
200 - 2 x 5 x 5 = 50
200 - 50 = 150
150/ 4 = 37. X 5 = 187.5
- hope this helps
The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.
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Answer:
20, 50
Step-by-step explanation:
Let x and y represent the two numbers.
x + y = 70 . . . . . . their sum is 70
2x +10 = y . . . . . . one is 10 more than twice the other
Using the second equation to substitute for y in the first equation, we have ...
x + (2x +10) = 70
3x = 60 . . . . . . . . . subtract 10
x = 20 . . . . . . . . . divide by 3
y = 70 -20 = 50 . . . find the other number
The two numbers are 20 and 50.
an equilateral triangle has perimeter P. The length of one side is p/3 which expression is equivalent to the length of one side?
a.) 2/3p
b.) 3/4p
c.) 1/3p
d.) 3p
Answer:
Your answer is C
Step-by-step explanation:
Part A. Describe a relationship modeled by the function f(x) = 4x³ - 72x² + 320x, and explain how the function models the relationship.
Part B. Identify and interpret the key features of the function in the context of the situation described in part A.
Answer:A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is: f(x)=4x3- 72 x2+320x
The first step to factor it is to extract common factor 4x: f (x)=4x(x2-18=80)
The second step is to factor the quadratic trinomial.
That is made by writing it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is: f(x)=(4x)(x-10)(x-8)
Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
x is the desired (unknown) length
4x is 4 times the desired length
x - 10 is 10 less than the desired length
x - 8 is 8 less than the desired length
Thus, the volume of the prism is the product of the three factors:
Volume = (4x)(x-10)(x-8)
Neeed help plz urgent need to turn in this assignment
Answer:
The area of the shaded region of the figure in the exercise is:
27.98 [tex]in^{2}[/tex]Step-by-step explanation:
To obtain the area of irregular shapes, you can divide that shape in figure you know and you can obtain the area, first, we're gonna calculate the area of the right side and the left side with the formula below:
Area of a rectangle = base * height.Area of right rectangle = 1.6 in * 5.2 inArea of right rectangle = 8.32 [tex]in^{2}[/tex]How the left rectangle and the right rectangle have the same measurements, we can say:
Area of left rectangle = 8.32 [tex]in^{2}[/tex]You can see in the center there is a rectangle too, but you need just a half formed by a triangle, you can use two form for this: calculating the area of the triangle or calculating the area of the whole rectangle and next to divide in 2, we're gonna use the first:
Area of triangle = (base * height) / 2In the exercise, the base of the shaded triangle is 2.7 inches, and the height you must add the measurements in the right side:
Height of the triangle = 1.6 in + 5.2 in + 1.6 inHeight of the triangle = 8.4 inNow we replace in the formula:
Area of triangle = (2.7 in * 8.4 in) / 2Area of triangle = 22.68 [tex]in^{2}[/tex] / 2Area of triangle = 11.34 [tex]in^{2}[/tex]By last, you must add all the calculated areas from the shaded regions:
Area of the shaded region = 8.32 [tex]in^{2}[/tex] + 8.32 [tex]in^{2}[/tex] + 11.34 [tex]in^{2}[/tex]Area of the shaded region = 27.98 [tex]in^{2}[/tex]Use the graph of the polynomial function. What are the zeros
Of the polynomial
A{-2}
B{3,-1,4}
C{-3,1,4}
D{2}
Answer:
B
Step-by-step explanation:
Whenever the curved line touches the x-axis that will be the zeros of the function.
Ella has a number cube and a spinner. The faces of the
number cube are labeled 1 through 6, and the spinner
is divided into three equal sections with the colors red,
blue, and green. If Ella rolls the cube and spins the
spinner once, which list contains only outcomes in
which the spinner lands on blue and a number greater
than 4?
C. Blue, 4
A. Blue, 4
Blue, 5
Blue, 5
Blue, 6 D. Blue 5
Blue. 6
B. Blue. 5
Red. 5
Blue, 6
Red. 6
Green 5
Green. 6
Need H
Answer:
B
Step-by-step explanation:
It can only land on blue and numbers greater than four (not including four), therefore B is the only suitable answer.
need help w this thanks
Answer:
a
Step-by-step explanation:
