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.
Triangle TSR is similar to Triangle TNM
Which statement below is true?
Answer:
[tex]\overline{SR}\sim \overline{NM}[/tex]
Step-by-step explanation:
In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.
Solve the matrix equation below
Answer:
We need to distribute the values Hence [-4 0: 0 - 2 ] +[0 -3: 5 -4] X + [ 0 -3: 5 -4 ] = [19 -27 : 10 -24]Which equation is equivalent to 10=3/2(2x+4)?
a.10=3x+2
b.10=3x+4
c.10=3x+6
d.10=3x+12
Answer
the answer should be C. 10=3x+6
Lin’s second pan has a length of \frac{8}{3} inches, a width of \frac{15}{4} inches, and a height of \frac{3}{2} inches.
Answer:
15
Step-by-step explanation: so i did 8/3 x 15/4 x 3/2 and got 15
EASY WORK!! Please look at the picture and yes it’s easy for people but not for me .
Answer:
299
Step-by-step explanation:
well, its 299 lol i ust did it somehow
Answer:
229
Step-by-step explanation:
650 / 100 = 6.5
6.4 times 46 = 299
The ability to influence another is a function of ______
= Dependency
Step-by-step explanation:
The ability to influence another is a function of dependency hahahaja
The degree of the polynomial function f(x) is 3.
The roots of the equation f(x) = 0 are - 1,0, and 4
Which graph could be the graph of f(x)?
Answer: Top right corner
This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.
The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.
The other two graphs only have two roots, and not three, so we rule them out as well.
Step-by-step explanation:
If the degree of a polynomial function is an odd number, the ends of the graph will go in opposite directions. (one going up and one going down)
The graph must pass the x-axis at the points -1, 0, 4.
Only the top-right graph satisfies our conditions.
Find the value of x. Then classify the triangle by its angles.
Answer:
x
Step-by-step explanation:
sorry idol grade 8 lng ako eh sensya kana godbless
Find the measure of angle B
(9x+2) (5x-4)
Answer:
119
Step-by-step explanation:
[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]
Answer:
In the given figure, we know that (angle B+angle C)=180°.
[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]
Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.
here’s the other one
Answer:
it is A
Step-by-step explanation:
Need help (8th grade math)
Slope= rise/run
=y2-y1/x2-x1
3-1/8-7
2/1
Slope=2
Answer:
2
Step-by-step explanation:
- use the equation:
m=y^2-y^1/x^2-x^1
- pick any two points:
m= -1+3/6-5
- solve:
m= 2/1
FINAL ANSWER:
2
[tex]y = 2 {}^{x} and \: y \: = 2 - {}^{x} [/tex]
graph each group of function in one plane describe the graph.
Please help me pleaseee :((
Step-by-step explanation:
[tex]y = {2}^{x} [/tex]
This is a basic exponential function.
[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]
The (-x) exponent makes a reflection in the y-axis.
32 POINTS! *URGENT*
When Pizza Paradise first opened their business in 2010, they decided on a price for their large cheese pizza. After their first full year in business, they decided they would increase the price at a constant rate each year for four years. The new price in 2011, after their first increase, was $7.75. The price in 2014 was $10.00.
What is the slope!
Answer:
The price in 2010 was $7. every year the price went up $0.75 slope should be 0.75x
Step-by-step explanation:
Answer:
lol i had the same question
Step-by-step explanation:
Which equation describes the pattern of the data in the table?
Х
3
4 5 6 7
12 16 20 24 28
у
A y = 4x
B y = 4x+12
1
y = -X
1 x +12
D
4
Answer:
Option A. y = 4x
Step-by-step explanation:
From the question given above, the following data were obtained:
X >> Y
3 >> 12
4 >> 16
5 >> 20
6 >> 24
7 >> 28
Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:
For Option A:
1. y = 4x
x = 3
y = 4 × 3
y = 12
2. y = 4x
x = 4
y = 4 × 4
y = 16
For Option B:
1. y = 4x + 12
x = 3
y = 4(3) + 12
y = 12 + 12
y = 24
2. y = 4x + 12
x = 4
y = 4(4) + 12
y = 16 + 12
y = 28
For Option C:
1. y = ¼ x
x = 3
y = ¼ × 3
y = ¾
2. y = ¼ x
x = 4
y = ¼ × 4
y = 1
For Option D:
1. y = ¼x + 12
x = 3
y = ¼(3) + 12
y = ¾ + 12
y = 51/4
2. y = ¼x + 12
x = 4
y = ¼(4) + 12
y = 1 + 12
y = 13
From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.
You buy cheese in 1 pound bags. The recipe for burritos requires 1.7 ounces of cheese per serving. How many servings can you make?
Hey ill give brainlist
Answer:
[tex]2.\:\frac{41}{9}[/tex]
Step-by-step explanation:
Recall that [tex]\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}[/tex].
Therefore, [tex]4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}[/tex].
Answer:
B is correct answer.................
SOME ASSISTANCE PLS M8S!!
Answer: CHAA
Step-by-step explanation:
Will mark brainliest!!!solve for each variable
HELP ASAP! Which statement below references interactions between the geosphere, the hydrosphere, and the biosphere?
A. A man goes surfing at the beach.
B. A car accelerates from rest to 60 kilometers per hour.
C. The excess rain this past week caused the river to flood.
D. The volcano began to erupt and emit dark clouds of ash into the sky.
Answer: the volcano began to erupt and emit dark clouds of ash into the sky
Step-by-step explanation:
I need help! Thanks!
Teagan was building a fence around his lawn.
The area of his lawn was 36 sq. yds. His lawn is a
square. How much fencing will he need?
Step-by-step explanation:
36×2=72
he will need 18 inches fencing
Twice the number v + 1
Answer:
Answer:
2(c+1)
=
2c+2
Step-by-step explanation:
Middle School A and Middle School B both planned trips to Washington D.C. using the
same rental company. Middle School A rented 6 vans and 6 buses for its 186 students.
Middle School B rented 2 vans and 4 buses to transport its 110 students. How many
students do the rental vans seat? How many students do the rental buses seat?
Answer:
each van can transport 15 students
Step-by-step explanation:
186 divied by 2 and you get 93 then you divied that by 6 and you get 15.5 you cant have .5 sutdents on a van so you round down and get 15 students.
A bicycle wheel has a diameter of 62cm. The wheel makes 80 complete
revolutions.
How far has the bicycle travelled?
Give your answer in metres
Answer:
The bicycle traveled 77.9 m
Step-by-step explanation:
Circumference of a Circle
Given a circle of radius r, the circumference or perimeter is calculated as follows:
[tex]C =2\pi r[/tex]
The radius of the bicycle wheel has a radius of r=62 cm. Converting to meters r=62/100=0.62 m.
Calculate the circumference:
[tex]C =2\pi \ 0.62[/tex]
[tex]C=3.8956\ m[/tex]
Given the wheel makes 80 complete revolutions, the total distance covered by the bicycle is:
[tex]D=20*3.8956\ m[/tex]
D = 77.9 m
The bicycle traveled 77.9 m
Please Help! A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it's acceleration?
Answer:
initial velocity = 15 m/s
final velicity = 0 m/s
time required = 10sec
Formula is V = U + at
0 = 15 + a 10
-15 ÷ 10 = acc
acc = - 1.5 m/s^2
plz give branlist
k I need help again the last part says triangles
What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?
Answer:
the answer is 3x^2 + 8x + 1
Step-by-step explanation:
(I used x as the variable due to the invalid difference of variables in your question )
To find the correct answer, I had to use polynomial division.
(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)
= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)
= 3 x 2 + 8 x + 1
aight can someone help me lol
SOMEONE HELP PLEASE!!!
Which of the following fractions is equivalent to -88/248 in least common terms?
Answer:
Its would be A -11/31
Step-by-step explanation: