Answer:
The value is [tex]P(X > 500 ) = 0.011942[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 430[/tex]
The standard deviation is [tex]\sigma = 120[/tex]
The sample size is n = 15
Generally the probability that the sample mean is above 500
Gnerally the standard error of mean is mathematically represented as
[tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]
=> [tex]s = \frac{ 120 }{ \sqrt{15} }[/tex]
=> [tex]s = 30.984[/tex]
Generally the probability that the sample mean is above 500
[tex]P(X > 500 ) = P( \frac{X - \mu }{\sigma_x} > \frac{500 - 430 }{ 30.984 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
=> [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
From the z table the area under the normal curve to the right corresponding to 2.259 is
[tex]P( Z > 2.259 ) = 0.011942[/tex]
=> [tex]P(X > 500 ) = 0.011942[/tex]
17. Jenny is saving for a new 4-wheeler. The one she wants will cost her $784 total. She has saved $495 so far. If she is able to save $60 per week, how many weeks will it take for her to save at least $784?
Answer:
5 weeks
Step-by-step explanation:
2. Which of the following angles are
supplementary to Z2? Select all
that apply.
A 25 B 26 CZ7 D 28
3х 4 = 3
what is the value of x?
Answer:
1/3
Step-by-step explanation:
transfer 4 to the other side then the sign will be minus
then divide 1 by 3
Answer:
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in
0 for x and solve for y.
x-intercept(s):
(43,0)
y-intercept(s):
(0,4)
Step-by-step explanation:
hope this helps!
(Sorry if it doesn't)
:)
plz help me this is a final!!!!
Answer: (a) 13 (b) 1
Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.
Answer:
A.13 b.-1
Step-by-step explanation:
a 6+7=13
b 6- -7=-1
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
For y=4x-3, find the
domain value when
the range is 17.
I NEED IT ASAP WILL GIVE BRIANIEST
Answer:
X=5
Step-by-step explanation:
Solve the problem.
A used car is for sale for $8,950. If Jenny will pay for the car over a 5-year period, what will be her monthly payment, to the nearest dollar?
$149/month
$3,729/month
$1,790/month
$60/month
Answer:
60 months = $8950
l month = ?
8950÷ 60
= $ 149 per month
Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.
Answer:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
Step-by-step explanation:
From the given information;
The total number of beads = 10 + 8 + 11 = 29
To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:
[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]
∴
The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]
The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:
[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]
[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]
For the sequence above;
[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]
By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]
Thus:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
answers
|x-3|
-|x+3|
-|x-3|
|x|+3
Answer:
B) -|x+3|
Step-by-step explanation:
Use the equation y=a|x-h|+k
a=-1 since the graph opens downwards with no stretch or shrink
h=-3 since the horizontal shift is 3 units right
k=0 since there's no vertical shift
Therefore, our equation is y=-|x+3| making B the correct answer
3(c+4) what's da answer
Answer:
c=4
Step-by-step explanation:
3(c+4)
3c+12
c=4
I hope this is correct and have a great day
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
You spent $*blank* this month.
Answer:
$45
Step-by-step explanation:
x=1.5(30)
x=45
Soup A has 5 grams of sodium in every 12 cups. Soup B has 8 grams of sodium in every 13 cups. Which soup has more sodium per cup?
Answer:
Step-by-step explanation:
5
Soup B has more sodium per cup.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given : Soup A has 5 grams of sodium in every 12 cups. Thus sodium per cup in soup A is = 0.42 g/cup
Soup B has 8 grams of sodium in every 13 cups. Thus sodium per cup in soup B is 8/12=0.6667 g/ cup
Hence, Soup B has more sodium per cup.
Learn more about the unitary method here:
https://brainly.com/question/22056199
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Which point represents 27 on the graph?
O Point A
O Point C
O Point D
O Point E
Qwin bought a shirt that was on sale for $23.00. The sales tax rate was 7%. Use this information to fill in the statement below.
Answer:
24.61
Step-by-step explanation:
7% of 23 is 1.61
so add 1.61 to 23 = 24.61
Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12
Answer:jkcv
ijfklgjk
Step-by-step explanation:
vn vvcxkhvxcl
please help me solve
Answer:
CD
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
The difference of ten times a number and three is -13
Answer:
10n - 3 = -13
Step-by-step explanation:
What is 20x - y = -40 in
slope-intercept form?
Answer:
y=20x+40
Step-by-step explanation:
slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40
I need ya help please
Simplify the expression:
(-4 + v)(3) - =
Answer:
-12 + 3v Is the answer
Hope this helps :)
Which equation can be used to solve forz in the following diagram?
(6z- 15)°
Choose 1 answer.
z= (6z-15)
O z-(6z-15) = 90
O z+(6z- 15) = 90
4 of 7
Answer:
C.
THis is a right angle making it 90°
Therefore, 6x-15) + x = 90
Step-by-step explanation:
Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false questions. The english quiz has 4 multiple choice questions.
Answer:
C) English
Step-by-step explanation:
I don't really know how to explain it, so I'll show you instead.
For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
So,
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016
For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
So,
0.25 x 0.25 x 0.25 x 0.25 = 0.004
They will have to study English (0.004) because it is lower than science (0.016).
The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
How to find Probability?We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
Thus;
P(6) = 0.5⁶ = 0.016
We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
Thus; P(4) = 0.25⁴ = 0.004
Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
Read more about Probability at; https://brainly.com/question/251701
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What are the solutions of this quadratic?
Y=X^2 -2X
Answer:
this is my answer but it's on you if you think this answer is correct or wrong
What is the probability of drawing a black king and then a diamond without replacing the first card?
Answer:
it is 2 in 4800
Step-by-step explanation:
it's because of math. it's either that or 2000
8 less than the product of 6 and a number is the same as 5 more than the number
Answer:
The algebraic expression will be:
8-6n = 5+nStep-by-step explanation:
Given the statement in English words
''8 less than the product of 6 and a number is the same as 5 more than the number''.
Let us break down the statement into an algebraic expression
FIRST PART
Let 'n' be the number
In Mathematics, product means multiplyso
The product of '6' and a number 'n' = 6n
∵Because 6 is a coefficient and n is a variable
now
8 less than the product of 6 and a number 'n' will be: 8-6n
2ND PART
5 more than the number 'n' means we need to add '5' into a number 'n'
i.e
5+n
COMBINE STATEMENT
Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:
8-6n = 5+n
Thus, the algebraic expression will be:
8-6n = 5+nVERIFICATION:
Let us verify by finding the value of n
8-6n = 5+n
8-5 = 7n
7n = 3
n = 3/7
substituting n=3/7 in the equation
8-6n = 5+n
8 - 6(3/7) = 5+(3/7)
38/7 = 38/7
TRUE
Thus, the equation is true.
How many solutions does the equation 24x-22=-4(1-6x) have?
Answer:
43
Step-by-step explanation:
just trust me
The volume of a storage tank is 3,375 cubic meters. The storage tank is in the shape of a cube. What is the length of each side?
The enrollment at a university increased from 16,000 students to 20,000 students over a period of 5
years. What is the percent increase in enrollment?
difference
net/
Answer:
25%
Step-by-step explanation:
Initial no of students = 16,000
Final no of students = 20,000
We need to find the percent increase in enrollment.
The increase in no of students = 20,000 - 16,000
= 4000
Percentage = (increase/initial no of students) × 100
[tex]\%=\dfrac{4000}{16000}\times 100\\\\=25\%[/tex]
Hence, the percent increase is 25%.
The figure shows a line graph and two shaded triangles to find the slope: (picture below)
Which statement about the slope of the line is true? SHOW YOUR WORK. (5 points)
a
The slope of the line is 3.
b
The slope of the line is fraction 1 over 3 .
c
The slope of the line is 1.
d
The slope of the line is 2.
Answer:
the answer is d because it is
Answer:
D is the slope
Step-by-step explanation:
