Answer:
The mean score is of 617.4.
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.
Suppose that the scores on the questionnaire are normally distributed with a standard deviation of 80.
This means that [tex]\sigma = 80[/tex]
Suppose also that exactly 15% of the scores exceed 700.
This means that when X = 700, Z has a pvalue of 0.85. So X when X = 700, Z = 1.033. We use this to find [tex]\mu[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.033 = \frac{700 - \mu}{80}[/tex]
[tex]700 - \mu = 80*1.033[/tex]
[tex]\mu = 700 - 80*1.033[/tex]
[tex]\mu = 617.4[/tex]
The mean score is of 617.4.
-A sequence is a list of numbers or obje
What is a pattern?
-A pattern is a repetitive sequence and
numbers and almost everywhere you ca
What's More
A. Directions: Give the pattern rule of t
Rul
1. 1, 4, 7, 10, 13
2.2, 8, 32, 128, 512
Rul
Answer:
1. Add 3
2. Multiply 4
Step-by-step explanation:
Given
[tex](1)\ 1, 4, 7, 10, 13[/tex]
[tex](2)\ 2, 8, 32, 128, 512[/tex]
Required
The rule
[tex](1)\ 1, 4, 7, 10, 13[/tex]
This is a linear function because successive terms have a common difference
The common difference between each term is:
[tex]d = 4 - 1 = 3[/tex]
[tex]d = 7 - 4 = 3[/tex]
[tex]d = 10 - 7 = 3[/tex]
[tex]d = 13 - 10 = 3[/tex]
The above shows that 3 is [tex]added\ to\ each\ term[/tex] to get the next term.
Hence, the rule is: Add 3
[tex](2)\ 2, 8, 32, 128, 512[/tex]
This is a geometric function because successive terms have a common ratio
The common ratio between each term is:
[tex]r = 8/2 = 4[/tex]
[tex]r = 32/8 = 4[/tex]
[tex]r = 128/32 = 4[/tex]
[tex]r = 512/128 = 4[/tex]
The above shows that 4 [tex]is\ multiplied\ to\ each\ term[/tex] to get the next term.
Hence, the rule is: Multiply 4
What angle is vertical to angle 2?
Answer:
Answer: a = 140°, b = 40° and c = 140°
Step-by-step explanation:
Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.
Help with the question plz people
You are cheating. I see this is a test.
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)
Answer:
[tex]y = -\frac{21}{2}x+5[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
Required
The equation in slope intercept
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
So:
[tex]m = \frac{-16 - 47}{2 - -4}[/tex]
[tex]m = \frac{-63}{6}[/tex]
Simplify
[tex]m = -\frac{21}{2}[/tex]
So, the equation is calculated as:
[tex]y = m(x - x_1) + y_2[/tex]
This gives:
[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]
[tex]y = -\frac{21}{2}(x+4) + 47[/tex]
Open bracket
[tex]y = -\frac{21}{2}x-42 + 47[/tex]
[tex]y = -\frac{21}{2}x+5[/tex]
what is the shape identify in the image
Answer:
it is a triangular prism
This is not a question it’s just for those who need an answer for questions for 3-1 lesson quiz in savvas for 6th grade math. Feel free to use the answer in the following photos below
Answer:
thank you very much, this will be of much help
Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help?
Answer:
9=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x²-9x+7=0
2x²-9x=-7
x²-9/2 x +(-9/4)²=-7+(-9/4)²
(x-9/4)²=-7+81/16=(-112+81)/16=-31/16
(x+(-9/4))²=-31/16
how to solve by factoring
x^2 + x = 0
Answer:
x=0 and x=-1
Step-by-step explanation:
Given: x^2+x=0
Factor: x(x+1)=0
Use Zero Product Property: x=0 and x+1=0
Therefore, x=0 and x=-1
A LOT OF POINTS!!
Suppose you borrow $40,000 at 13% APR for a 12-year term to be paid monthly. Your monthly payment is $450.00.
How much of your first payment goes toward interest?
Make sure you show your work to earn full credit.
Answer:
You get $45,200 first with interest with the 5400 you made in 1 year that dedeucts
Step-by-step explanation:
sin(30°)cos(45°) + cos(30°)sin(45°)
Step-by-step explanation:
sin(30°)cos(45°) + cos(30°)sin(45°)=1+√3/2√2
what is the area of a right triangle with sides 7ft 24ft and 25ft?
Answer:
84 ft^2
Step-by-step explanation:
[tex] \frac{7 + 24 + 25}{2} = 28[/tex]
The area is:
[tex] \sqrt{28 \times (28 - 7) \times (28 - 24) \times (28 - 25)} [/tex]
[tex] = 84 \: {ft}^{2} [/tex]
Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?
Answer:
There are x squares on the shorter side, each square measures 6 inches.
The length of the shorter side is:
f(x) = x*6 = 6xThe length of the longer side is:
g(x) = (x + 3)*6 = 6x + 18The area of the quilt is:
A = 6x(6x + 18) = 36x² + 108xWhat is the theoretical probability that the spinner below will land on 6 if someone spins it 48 times?
Answer:
1/4 or 12*
Step-by-step explanation:
There are 8 possibilities. 2 of them are 6.
2/8=1/4
1/4 of 48 is 12
*The theoretical probability doesn’t change no matter how many times you spin the spinner. It will always be 1/4. (Or 0.25, or 25%). That could be what they’re asking. If you spun it 48 times, it would probably land on a six 12 times. That could also be what they’re asking for. 12:48 = 1:4.
Danielle has a $30 gift card to T-Shirt-paradise . She wants to use it to buy a rock band T-shirt and a glitter T-shirt. The rock band T-shirt costs $11.95. Let x represent how much Danielle can spend on a glitter T-shirt using her gift card.
x+11.95≤30
Then x≤30−11.95x≤30−11.95
x≤18.05x≤18.05Answer:
Step-by-step explanation:
I really need to go to the store. I bought an 80 ounce container of orange juice. Right now, there's only 4 ounces left. What percent of the orange juice is left? If you're ever at my house, help yourself to the stull in my fridge.
Answer:
There is 5% of the juice left.
Step-by-step explanation:
We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.
Then we can write a relation:
80 oz = 100%
Now there are 4 ounces left, in the same way than before, we can write this as:
4 oz = X%
We want to find X%
First, let's write our equtions:
4 oz = X%
80 oz = 100%
We can take the quotient between these two equations to get:
(4oz/80oz) = (X%/100%)
We need to solve this for X%, then we get:
(4oz/80oz)*100% = X% = 5%
This means that 4 oz is 5% of the initial volume of the juice container.
Then we can conclude that there is 5% of the juice left.
ii need help real quick !!
Answer:
I'm confused what the question is. I think you might have attached the wrong picture
PLEASE GIVE ME AN ANSWER!!!!ILL MARK BRAINLIEST ANSWER
Answer:
3 3/4
Step-by-step explanation:
3.75 square ft per hr.
5/8 x 6 = 3.75
find the gradient of the line
with the equation 3x+4y=10
In sixteen years Paul will be 48 years old.
How old is he now?
Answer:
32 years old
Step-by-step explanation:
48-16=32
Answer:
Paul is 32 years old
Step-by-step explanation:
48 - 16 = 32
Kristin charges $30 to train a small dog, and $50 to train a big dog. If Kristin trains 15 small dogs and 6 big dogs, how much money will she make?
Answer:
$750
Step-by-step explanation:
We can set up the equation 30x + 50y = z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.
After plugging in the x and y values to solve for z, we are left with the following equation:
30(15) + 50(6) = 750
There are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?
Please explain step by step I dont get it.
Answer:
33 total flowers are in the bouquet Mr Rodriguez bough
Step-by-step explanation:
So for every 4 roses there are 7 carnations meaning the ratio is 4:7
4 times x = 12
x=3
So we do the same for carnations
7 x 3 = 21
Now we add to find the total
21+12=33
33 total flowers
7n - 4 (8n+4) = 159
Answer:
n = -7
Step-by-step explanation:
Use distributive property:
7n - 32n - 16 = 159
Combine like terms
-25n - 16 = 159
Add 16 to both sides to isolate variable n
-25n = 175
Divide both sides by -25 to isolate variable n
n = -7
Check your work:
7(-7) - 32(-7) - 16 = 159
-49 + 224 - 16 = 159
159 = 159
0.4 divided by 29 BRAINLIEST
the answer for your question is 0.0137
What is the inverse statement,"If I listen to this song, then it will get stuck in my head"?
Answer:
D. If I do not listen to this song, then it will not get stuck in my head.
Step-by-step explanation:
Answer:
"If I don't listen to this song, then it won't get stuck in my head."
For each pair of function f and g below, find f(g(x)) and g(f(x)).
a. f(x)=3/x,x=/= 0
b. g(x)=3/x, x=/=0
c. f(x)=x+4
d. g(x)=-x+4
Answer:
(a) and (b)
[tex]f(g(x)) = g(f(x)) = x[/tex]
(c) and (d)
[tex]f(g(x)) =-x + 8[/tex]
[tex]g(f(x)) = x + 8[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Find f(g(x)) and g(f(x)) for each pair
For (a) and (b), we have:
[tex]f(x) = \frac{3}{x}[/tex]
[tex]g(x) = \frac{3}{x}[/tex]
Calculate f(g(x))
[tex]f(x) = \frac{3}{x}[/tex]
[tex]f(g(x)) = \frac{3}{g(x)}[/tex]
Substitute 3/x for g(x)
[tex]f(g(x)) = \frac{3}{3/x}[/tex]
Rewrite as:
[tex]f(g(x)) = 3/\frac{3}{x}[/tex]
[tex]f(g(x)) = 3*\frac{x}{3}[/tex]
[tex]f(g(x)) = x[/tex]
Since f(x) = g(x), then:
[tex]f(g(x)) = g(f(x)) = x[/tex]
For (c) and (d)
[tex]f(x) =x + 4[/tex]
[tex]g(x) =-x + 4[/tex]
Solving f(g(x)), we have:
[tex]f(x) =x + 4[/tex]
[tex]f(g(x)) =g(x) + 4[/tex]
Substitute [tex]g(x) =-x + 4[/tex]
[tex]f(g(x)) =-x + 4 + 4[/tex]
[tex]f(g(x)) =-x + 8[/tex]
Calculating g(f(x))
[tex]g(x) =-x + 4[/tex]
[tex]g(f(x)) = -f(x) + 4[/tex]
Substitute: [tex]f(x) =x + 4[/tex]
[tex]g(f(x)) = x + 4 + 4[/tex]
[tex]g(f(x)) = x + 8[/tex]
8% of $796.25 is how much?
8/100*796.25
=63.7%
Answer:63.7%
Answer: Hello, there! your Answer is below
63.7 would Be the correct answer
Step-by-step explanation: Below Is Info About How to Calculate Precentage UwU
how to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
A bicycle is originally priced at $60. The online retailer gives a discount and the bicycle is now priced at $42. Enter the percentage discount for the cost of the bicycle.
Answer:
30% ywww
Step-by-step explanation:
Help me find this perimeter please
Answer:
52 in
Step-by-step explanation:
I added all the sides I already know which is 10+5+5+16= 36
then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in
PLEASE HELP
will mark brainliest
Answer:
Option B
[tex]A'(5,5)[/tex]
[tex]B'(5,1)[/tex]
[tex]C'(2,1)[/tex]
[tex]D'(1,5)[/tex]
[tex]----------[/tex]
hope it helps...
have a great day!!