Answer:
a) 0.8708 = 87.08% probability that x is less than 60
b) 0.9641 = 96.41% probability that x is greater than 16.
c) 0.8349 = 83.49% probability that x is between 16 and 60
d) 0.1292 = 12.92% probability that x is more than 60.
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:
[tex]\mu = 43, \sigma = 15[/tex]
a. x is less than 60
This is the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 43}{15}[/tex]
[tex]Z = 1.13[/tex]
[tex]Z = 1.13[/tex] has a pvalue of 0.8708
0.8708 = 87.08% probability that x is less than 60
b. x is greater than 16
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 43}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a pvalue of 0.0359
1 - 0.0359 = 0.9641
0.9641 = 96.41% probability that x is greater than 16.
c. x is between 16 and 60
This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:
0.8708 - 0.0359 = 0.8349
0.8349 = 83.49% probability that x is between 16 and 60
d. x is more than 60
This is 1 subtracted by the pvalue of Z when X = 60.
So
1 - 0.8708 = 0.1292
0.1292 = 12.92% probability that x is more than 60.
Cuanto es 3entre 2.009
Answer:
~1.5
Step-by-step explanation:
3/2.009 = 1.493280238924838 = ~1.5
Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24
Answer:
≈ 4.12 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)
d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]
= [tex]\sqrt{(-4)^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex]
≈ 4.12 ( to the nearest hundredth )
Answer:
The distance between given points is: 4.12 units
Step-by-step explanation:
Given points are:
(3, 8) and (-1, 9)
Here
[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]
The distance is calculated using the following formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values, we get
[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]
Rounding off to nearest hundredth
d = 4.12 units
Hence,
The distance between given points is: 4.12 units
A survey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand X aspirin. How many doctors use brand X aspirin? (Hint: Solve for X)
Answer:
1,200 out of 2000 doctors use X aspirin
Step-by-step explanation:
you see this guy...he needs help please help me
Answer:
the answer is 0.75c
Step-by-step explanation:
Hope this helps
The equation Y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?
Y-3 = -2(x+5)
Rewrite in slope intercept form:
y-3 = -2(x+5)
Simplify the right side:
y-3 = -2x -10
Add 3 to both sides:
y = -2x -7
The y intercept is -7
Factor the function using sum/difference of cubes:
f(x)=x^3-27
Answer:
(x-3)(x^2+3x+9)
Step-by-step explanation:
what's a quarter after 9 in the morning??????
Answer:
9:15 a.m
Step-by-step explanation:
PLEASE HELP WITH THIS I NEED TO PASS
Answer:
x = 0.1875
Step-by-step explanation:
first, you group up all of the same numbers or letters. (2x +2x)
then you solve the problem:
2x ^2 = 2x - 3
4x^2 = -3
16x = 3
16 16
x = 0.1875
Find the interest rate for a $4600 deposit accumulating to $5994.78, compounded monthly for 4 years
I need help plz I will mark brainliest
PLEASE ASNWER ASASP for BRAINLEST!!!!!!!!!!!!!!!!!
The perimeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Find the width of the rectangle.
12.675 meters
25.35 meters
12.1 meters
24.2 meters
Answer:
12.1 meters. Hope this helped, would love brainliest!
Step-by-step explanation:
For this question we will have to try each option.
12.675+2.3=14.975 14.975+14.975+12.675+12.675=55.3 This ones not it.
25.35+2.3=28.65 28.65+28.65+25.35+25.35=108 This ones not it either.
12.1+2.3=14.4 14.4+14.4+12.1+12.1=53 THIS ONES IT!
we do not have to do the last one
Given: ABCH and DCGF are parallelograms. Complete the proof below by choosing the correct statement for line number 3 and the correct reason for line number 4.
Answer:
∠BCH ⩭ ∠DCG ;Opposite angles of a parallelogram are congruent.
Step-by-step explanation:
passes through (5, 6), slope = 3
which expression has a negative value? a. x + y b. x - y c. x . y d. x/y
please brainlist who ever answers
Answer:
190 square inches
Step-by-step explanation:
Answer:
190
Step-by-step explanation:
0.57575757... as a fraction
Answer:
0.57575757 / 1
Step-by-step explanation: :)
Answer:
0.5757=19/33
Explanation:
Let x=0.5757
100x=57.5757
100x−x=57.5757−0.5757=57
99x=57
x=57/99=19/33
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?
Please hurry up(btw you will get the brainliest)♂️
Answer:
To run one lap Lin takes 1.6 minutes.
Step-by-step explanation:
To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
The third one Edg
Step-by-step explanation: Brainlest plzzz
A board is 50 inches long. How long is it in feet and inches?
Answer:
4.16667
Step-by-step explanation:
Solution,
1ft= 12 inch
So,
50 inches= 50÷12
=4.16667
Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *
5) If f(x) = 3x + 4, for which value of x does f(x) = 22
Answer:
6
Step-by-step explanation:
22 = 3x+4
subtract 4 from both sides
18 = 3x
divide both sides by 3
6 = x
HELPPP PLEASEE!!! ANSWERS QUESTIONS IN RETURN!!!
Answer:
`sis that ship looks so flawking hard
Step-by-step explanation:
Which quadratic equation has roots -7 and 3/2 ?
Answer:
If the discriminant of the quadratic equation is zero then it will have 2 equal roots.
If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.
If the discriminant of the quadratic equation is less than zero then it will have no roots.
Step-by-step explanation:
hope this helped
Which ratios are equivalent to 10:16? Check all that
apply.
O 30 to 48
25:35
40/64
08:32
5 to 15
Answer:. 30 : 48
40:64
Step-by-step explanation: The hint is in the table where the rows highlighted in pink, multiples of 5 and 8, contain the values of the original given ratio, 10:16
Equivalent ratios include any of the corresponding values in columns AND that are in the pink rows.
5:8, 10:16, 15:24, 20:32 . . .
We can see the pattern; pairs of multiples of the factors of the numbers in the original ratio are equivalent ratios.
Each bill at a restaurant includes an 18% tip. Which of the following bill amounts and tips could be from this restaurant? Select Yes or No.
Answer:
1. Yes
2. No
3. No
4. Yes
1. Anil runs around a square park of side 90 m. Rohan runs around a rectangular
park with length 50 m and breadth 40 m. Who runs more and by how much?
Pls Help ASAP Pls
Answer:
Anil runs more by 180m.
Step-by-step explanation:
Given that:
Length of side of square park = 90 m
We will find the perimeter.
Perimeter = 4s
Perimeter = 4(90) = 360 m
Measurements of rectangular parks = length 50 m and width 40 m
Perimeter = 2(Length + Width)
Perimeter = 2(50+40) = 2(90) = 180 m
360 m > 180m
Difference = 360 - 180 = 180 m
Hence,
Anil runs more by 180m.
what mixed fraction is 1/3 of 100
Answer:
Step-by-step explanation:
You think about it or go search it up my guy.
PLS HELP!!
Amanda has to pack cookies in boxes. The function describes how many cookies she puts in a certain number of boxes:
c=-6b+ 73
here variable c represents number of cookies and variable b represents the number of boxes packed. If she packs 11 boxes, how many cookies are left out?
Enter answer
Answer:
7 cookies are left out, If Amanda packs 11 boxes of cookies.
Step-by-step explanation:
Amanda has to pack cookies in boxes. The function describes how many cookies she puts in a certain number of boxes:
[tex]c=-6b+ 73[/tex]
here variable c represents number of cookies and variable b represents the number of boxes packed.
We need to find If she packs 11 boxes, how many cookies are left out.
We are given:
b = 11
We need to find c
Putting value of b and finding value of c in the equation.
[tex]c=-6b+ 73\\c=-6(11)+73\\c=-66+73\\c=7[/tex]
So, we get the value of c: c=7
Therefore, 7 cookies are left out, If Amanda packs 11 boxes of cookies.
help!! it’s due today
[tex] \sqrt{64} = 8[/tex]
[tex] \sqrt{81} = 9[/tex]
[tex] \sqrt{96} = 4 \sqrt{6} [/tex]
[tex] \sqrt{144} = 12[/tex]
[tex]ırratıonal \: number\: lıke \: \pi \: 0.6 \: \sqrt{3} \: etc[/tex]
Answer is C
please help me, ill mark brainly :P
we need to see the drop down list of steps to answer the question :)
Answer:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
Step-by-step explanation: