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.
Can someone help me find x ?
Answer:
x = 15
Step-by-step explanation:
Apply the keg rule to find x. The keg rule is given as:
Hypotenuse / leg = leg / part of the hypotenuse directly under the leg
Hypotenuse = 25
Leg = x
Part of the hypotenuse directly under the leg = 25 - 16 = 9
Plug in the values
25/x = x/9
Cross multiply
x*x = 25*9
x² = 225
x = √225
x = 15
What does k equal?
As in y=kx
Pls help
Answer:
Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation. “y varies inversely with x.” k is the constant of variation.
Estimate: 24.47 ÷ 12.13
Answer:
1.9894308943 this is the answwr
Answer:
i'm 99% sure its 2
Step-by-step explanation:
My estimated answer is two. Here’s how I found the answer. First, I rounded to the nearest whole number. When my problem became twenty-four divided by twelve, I realized I could divide that in my head! And I did.
Order from least to greatest: 0.84, 0.084, 84, 8.4
Group of answer choices
Answer:
0.084 , 8.4, 0.84, 84 sorry if im wrong
Step-by-step explanation:
Help me out with number 9 (geometry)
Answer:
The answer to the question provided is 37.5.
He me out with this question
Answer:
I believe the answer is B.
Help please will mark brainliest!!
What is the x-intercept of the linear function y = 1/3x +1
Answer:
the x intercept is -3
or (-3,0)
Step-by-step explanation:
the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.
Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.
0=1/3x+1
subtract 1 from both sides
-1=1/3x
multiply by 3
-3=x
Therefore the x intercept is -3.
As a point is (-3,0)
hope this helps!
Please help I’ll mark you as brainliest if correct!!!
Answer:
First is correct
Second is perimeter
Why? Because perimeter is the surounding part
Answer:
The first one is correct the second one is Perimeter
Step-by-step explanation:
Hope this Helps! :)
The problem
1/3+1 5/6=
Kelsey can buy 3 sweatshirts for a total of $30. How much would it cost if she were to buy 4 sweatshirts at the same price?
Answer:
$40
Step-by-step explanation:
30 divided by 3 is 10 so 4 multiplied by 10 is $40
16,80, 400,...
Find the 6th term.
Answer:
Step-by-step explanation:
50,000
I think
PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL MARK BRAINLEIST
Stephanie checked the temperature in her house when she woke up. After 3 3/4 hours, the temperature had increased by 10 1/2 degrees. Assuming that the temperature rose at a constant rate, by how many degrees did the temperature in Stephanie’s house increase each hour?
Ms. Neil has 25% of her class who have turned in their reading logs. 7 students have
turned in their logs. Enter the total number of students in her class.
Answer:28
Step-by-step explanation:
25% × x = 7
Multiplying both sides by 100 and dividing both sides by 25,
we have x=7 x 100/25
7×100÷25
x=28
I’m seriously crushing on you. I’m deeply in love with you girl. Will you give me a chance to prove my love? And you’ll have your best days forever. Happy Valentine’s Day crush girl.
Answer:
I think you'd be better off simping for sunflowers then girls mate.
Step-by-step explanation:
Lol jk
compare the value of the 3 in 340,500 to the value of the 3 in 3,160,00
Answer:
Step-by-step explanation:
3 in 340,500 is 300,000
and 3 in 316 ,000 is 300,000
so 300,000-300,000 = 0
Please I really need help on this one
Answer:
2.5ft
Step-by-step explanation:
d=2r
r=1/2d
r=1/2*5ft=2.5 ft
Dont really know this. Anyone wanna help.
Answer:
25 degrees
Step-by-step explanation:
angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,
90 degrees - 65 degrees = 25 degrees
Find the missing endpoint if the midpoint is at (2,-5) and one endpoint is at (12,-5).
O (2,-5)
O(-8,-5)
O(10-8)
O (12,-5)
Answer:
The answer is (-8,-5)
Step-by-step explanation:
Since the midpoint is (2, -5), the 2 endpoints should be equidistant from each other. Since the endpoint that is given (12, -5), is 10 points to the right of the midpoint, the second midpoint should be 10 points to the left of it. 2-10=-8
Therefore, the other midpoint is (-8,-5)
what is an eqivallent fraction to 4/3
Answer:
8/6
Step-by-step explanation:
That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.
Answer:
8/6
Step-by-step explanation:
Multiply the numerator and denominator by 2! :)
I will give brainiest to whoever answers correctly !!
Compare the values.
9 × 10^2 is _____ times as much as 3 x 10^-2.
A) 6 x 10^4
B) 3 x 10^-4
C) 3 x 10^4
D) 6 x 10^0
please i need help **Will mark BRAINLIEST**
find the surface area of the triangular prism help plzzz
Answer:
790 m^2
Step-by-step explanation:
well in the figure we have to areas
the rectangle of the side (2)the triangle (2)the rectangle of the base (1)the rectangle of the side
well the area of the rectangle is base times height
we have a base of 11 and a height of 17
[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]
the triangle
well the area of a triangle is base times height over 2
we have a base of 16 and a height of 15
[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]
the rectangle of the base
we have a base of 16 and a height of 11
so
[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]
so the total area is
[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]
so that's our answer the surface area is 790 m^2
2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.
The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.
Probability for getting head or tell:
P(h) = 1/2
P(t) = 1/2
The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's
Probability for getting letter P:
P(getting letter P) = 1/12
P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24
P(tails) = 1/2
P(getting a vowel) = 6/12 = 1/2
P(tails then a vowel) = (1/2)(1/2) = 1/4
P(tails then N) = (1/2)(2/12) = 1/12
P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6
Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
4
Slope
=-
y-intercept = 5
5'
B) y=1
4
A) y=-x + 5
5
2
C) y=-x+ 5
5
4
--x + 5
5
2
D) y = 5x +
5
OA
Answer:
A.
Step-by-step explanation:
y=mx + b where m is the slope and b is the y-intercept. So substituting 4/5 for m and 5 for b, you get answer A.
9x5=
(__×__) + (__×__)=
__+__
=
Answer:
9×5=(5×5)+(4×5)
Step-by-step explanation:
9×5=(5×5)+(4×5)
25+25
45Answer.
Answer:
Step-by-step explanation:
(3x3)+(2.5x2)=(39+6)
maurice read 10 pages that is 50 percent of the paper lenght what i the paper lenght
Answer:
Would it not be 20?
Step-by-step explanation:
Answer:
The answer is 20
Step-by-step explanation:
If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answer:
x+-3
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle yes[/tex]
Step-by-step explanation:
By the way Angle-Angle-Side Triangle Postulate, this would be enough information as proof of using the Angle Bisectour Theorem.
I am joyous to assist you at any time.
The radius of a circle is 13.9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
87.3
Step-by-step explanation:
C=2piR
2×3.14×13.9=87.33
