Answer:
The population after 8 years is 22752.
Step-by-step explanation:
2. Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points. Part A: What is the probability that a randomly selected score is greater than 81 points? Part B: What percentage of students scores are between 69 and 78? Part C: A student who scores a 84 is in the _______________ percentile.
Using the normal distribution, it is found that:
A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.
B. 81.85% of students scores are between 69 and 78.
C. The student scored in the 99.87th percentile.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, as:
[tex]\mu = 75, \sigma = 3[/tex].
Item a:
The probability is one subtracted by the p-value of Z when X = 81, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{81 - 75}{3}[/tex]
Z = 2.
Z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228.
0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.
Item b:
The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:
X = 78:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 75}{3}[/tex]
Z = 1.
Z = 1 has a p-value of 0.8413.
X = 69:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 75}{3}[/tex]
Z = -2.
Z = -2 has a p-value of 0.0228.
0.8413 - 0.0228 = 0.8185.
81.85% of students scores are between 69 and 78.
Item c:
The percentile is the p-value of Z when X = 84, multiplied by 100, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84- 75}{3}[/tex]
Z = 3.
Z = 3 has a p-value of 0.9987.
The student scored in the 99.87th percentile.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
HELP ASAP!!!! HELP FAST!!!
Answer: C. 3x^2y^
Step-by-step explanation:
gcf is 3 between 12 and 21
an then add the ecponets on it
plot the point P(-6,2) and fron it draw PM and PN perpendiculars to x-axis and y-axis
Answer:
image
Step-by-step explanation:
Describe the behavior of the graph below.
Answer:
Step-by-step explanation:
A figure is broken into a rectangle and a triangle. The triangle has a base of 8 inches and a height of 6 inches. The rectangle has a base of 8 inches and a height of 4 inches.
This figure was broken into a triangle and a rectangle as shown.
The base of the triangle b is
inches.
Answer:
triangle area = 24
rectangle areea = 32
figure area = 56
Step-by-step explanation:
Answer: The answer is 8
Step-by-step explanation:
Have a good day and stay safe out there! <3
In which quadrant on a graph will (-5, -7) be found? *
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV
Answer:
on a graph will (-5, -7) be found Quadrant III.
Function A and Function B given below are linear functions, which statement is
true?
Answer:
a
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Slope Formula: Y2 - Y1/ X2 - X1
Function A: 15 + 25/ 4 + 4 = 5; Slope = 5
Function B: 4 - 2/ 3-2 = 2; Slope = 2
The slope of Function A is greater than the slope of Function B.
Find the AREA of the triangle below. Round your answer to the nearest tenth. I sad 15 I am not sure if its correct
Answer:
11 sq. units
Step-by-step explanation:
Find the area of the rectangle first, then find the area of the three white triangles.
Area of the rectangle
= 6×5
= 30 sq. units
Total area of the three white triangles
= (4×5)÷2 + (2×3)÷2 + (6×2)÷2
= 19 sq. units
The area of the rectangle minus the total area of white triangles:
Area of the green triangle
= 30-19
= 11 sq. units
how do you find the slope from x+y=3?
Answer:
y=-x+3
Step-by-step explanation:
To find slope, you would want to use the formula for slope which is y=mx+b.
we are basically isolating the "y". So to find slope we would just subtract the "x" from both sides, leaving use with a negative "x" plus 3 on one side and a y on the other.
I really need the help
y>_ -5
y- 1 < 3x
Answer:
C
Step-by-step explanation:
No links
13 points for this,
Will receive brainliest!
Answer:
median is the middle number
mean is the numbers added up and divide by how many numbers there are
range is biggest take smallest
Mode is the most common so if you only have 1 number 1 and 2 number 2s then 2 is the mode
Step-by-step explanation:
What is the volume of the triangle are present
8cm
3cm
13cm
Answer:
v=l*b*h
=8cm*3cm*13cm
=312cm
pls help me its due at midnight!!
Enter the given equation in exponential format.
log base2 x = r
Answer:
2^r=x
Step-by-step explanation:
A ball is thrown straight up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 48t + 64. What is the height of the ball at 2 seconds ?
Answer:
112 :).
Step-by-step explanation:
hope this helps!
The triangles shown below must be congruent.
A.True
B.False
Answer:
true
Step-by-step explanation:
the triangles are congruent
Please help me ASAP I’m having trouble
Answer:
Closest to (1,1)
Step-by-step explanation:
As shown is picture
this is way different to what my class has done before and im confused
Answer:
Step-by-step explanation:
x+5y=-13. Equation 1
2x+10y=-26 multiply equation 1 by 2
-2x-10y=26. Equation 2
0+0=0 add two equations together
0=0
infinite number of solutions
Answer:
(-13-5y,y)
Step-by-step explanation:
See the steps below:)
Chris is splitting 6 quarts of ice cream with 9 members of the team. If the ice cream is split evenly. How many cups will each person get? Explain
A park in a subdivision has a triangular shape. Two adjacent sides of the park are 433 feet and 520 feet. The angle between the side is 37 degrees. Find the area of the park to the nearest square foot.
Answer:
Step-by-step explanation:
Area of triangle is given by the formula:
1/2*a*b*sinC
= 1/2*433*520*sin(37degrees)
= 67752 sq ft
Answer:
Step-by-step explanation:
applying sine rule for area of triangle
Area = 1/2absin(c)
= 1/2x433x520xsin(37)
= 67752ft^2
I will give brainliest to whoever answers this question:) help a dummy out
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation is a parabola, that opens up downwards, and the point from which Sarah throws the ball is 5 feet off the ground. so set the height to zero ( when the ball reaches the ground ) and solve for t
0 = -16[tex]t^{2}[/tex] + 18t + 5
use quadratic equation :)
-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a
-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)
-18 +- sqrt[324 +320 ] / -32
-18 +- sqrt[644] / -32
-18 +- 25.377155 / -32
do the positive choice :
-18 + 25.377155 / -32
7.377155 / -32
-0.2305 ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)
do the negative choice:
-18 - 25.377155 / -32
1.355536 ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )
t = 1.4 seconds ( rounded to nearest 10th )
The value of y varies directly with x. If x = 7, then y = -40. What is the value of x when y = 51?
Introduce a constant,
let it be (k)
Y=KX
-40 = K(7)
K= -5.7
Then,
Y =KX
51= -5.7(X)
X = -8.95~-9
can someone help me with this final please
Answer:
Option 1.) y = 125°
Step-by-step explanation:
We know that sum of exterior angles of any polygon is 360°. Therefore we can say;
70° + 60° + 65° + 40° + y° = 360°
235° + y° = 360°
y = 360 - 235
y = 125°
Therefore the measure of ∠y = 125°
Hope this helps!
which operation should be performed first according to the order of operations - 6+2(9-4)-3 ×5
Answer:
Parenthesis is answered first
Step-by-step explanation
Using the pemdas strategy the "p" stands for parenthesis therefore it would be (9-4)
The answer to the problem is 11
What is the slope m and y-intercept b of the equation y = 1/3x - 5?
Answer:
slope = 1/3 , y-int = -5
Step-by-step explanation:
y = mx + b
hope this helps!
read and do this is not that hard i know yall can do this
Answer:
parallelograms
Step-by-step explanation:
Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The probability of exactly no successes in seven trials of a binomial experiment in which p = 1/4
Answer: 0.1334
Step-by-step explanation:
Given
There are seven trails with a probability of success is [tex]p=\frac{1}{4}[/tex]
[tex]\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}[/tex]
Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by
[tex]\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334[/tex]
5. Find dy/dx of
of the following
the following functions
y²= 4ax
Answer:
A general rule for functions of the general form:
y = A*x^n
is:
dy/dx = n*A*x^(n - 1)
Then, for the function:
y^2 = 4*a*x
Then we can rewrite this as:
y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)
Then we have:
A = √(4*a)
n = 1/2
Now we can use the above rule to get
dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)
dy/dx = (1/2)*√(4*a)*x^(-1/2)
dy/dx = (1/2)*√(4*a/x)
dy/dx = √(1/4)*√(4*a/x)
dy/dx = √( (1/4)*4*a/x)
dy/dx = √(a/x)
if a=b and b = 25 ,what is a + 24
Answer:
a=29
Step-by-step explanation:
If a=b and b is 25
Then a is 25
25+24=49
Answer:
I believe the answer is 49. This is because if B = 25 and A = B, therefore, A = 25 and 25 + 24 = 49.
There is no hate intended to the person above, we are all learning together and we need each other to learn to the very best of our skills! :)
Hope you have a great rest of your day! God loves you!
Use your calculator to find the trigonometric ratio sin 79°
Answer:
0.982
Step-by-step explanation:
Use your calculator to find the trigonometric ratio sin 79°
Answer: 0.982
What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?
24987.2 meters cubed.
Step-by-step explanation:
A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.
The volume of a sphere is V= (4/3)πr3
The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,
45.7m, by 2. So r = 22.85 meters
so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.
Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.
And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.