Answer:
1470 seconds
Step-by-step explanation:
56=8 seconds
1 second= 56÷8=7
Ans=7×210=1470
Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
The line shows the cost, y, for x classes taken. Write an equation for the line in
slope-intercept form. Show your work.
Answer:
Step-by-step explanation:
The equation for the line in slope-intercept form will be y = 10x + 20.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
Assume that the equation of the line in the slope - intercept form as -
y = mx + c
At [x] = 0, [y] = 20.
So, the [y] intercept will be -
[c] = 20.
and slope of the line will be -
m = (40 - 30)/(2 - 1)
m = 10/1
m = 10
So the equation will be -
y = 10x + 20
Therefore, the equation for the line in slope-intercept form will be y = 10x + 20.
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please help asap question three
Answer:
(-6,-6) I think that A is correct
Solve. If there is more than one solution, separate them with a comma.
6+7 |−6x−3| =62
Answer:
[tex]-\frac{11}{6} , \frac{5}{6}[/tex]
The equation has two solutions.
What is the x-intercept of the graph of - x = 5?
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5
Please help
Picture inserted
Multiple choice
Will appreciate it if u help!
A population proportion is 0.61. Suppose a random sample of 658 items is sampled randomly from this population
a. What is the probability that the sample proportion is greater than 0.63?
b. What is the probability that the sample proportion is between 0.60 and 0.66?
c. What is the probability that the sample proportion is greater than 0.592
d. What is the probability that the sample proportion is between 0.57 and 0.60?
e. What is the probability that the sample proportion is less than 0.51?
Answer:
Explained below.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
A random sample of n = 658 items is sampled randomly from this population.
As the sample size is large, i.e. n = 658 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.
Compute the mean and standard deviation as follows:
[tex]\mu_{\hat p}=0.61\\\\\sigma_{\hat p}=\sqrt{\frac{0.61(1-0.61)}{658}}=0.019[/tex]
(a)
Compute the probability that the sample proportion is greater than 0.63 as follows:
[tex]P(\hat p>0.63)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.63-0.61}{0.019})\\\\=P(Z>1.05)\\\\=1-P(Z<1.05)\\\\=1-0.85314\\\\=0.14686\\\\\approx 0.1469[/tex]
(b)
Compute the probability that the sample proportion is between 0.60 and 0.66 as follows:
[tex]P(0.60<\hat p<0.66)=P(\frac{0.60-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.66-0.61}{0.019})\\\\=P(-0.53<Z<2.63)\\\\=P(Z<2.63)-P(Z<-0.53)\\\\=0.99573-0.29806\\\\=0.69767\\\\\approx 0.6977[/tex]
(c)
Compute the probability that the sample proportion is greater than 0.592 as follows:
[tex]P(\hat p>0.592)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.592-0.61}{0.019})\\\\=P(Z>-0.95)\\\\=P(Z<0.95)\\\\=0.82894\\\\\approx 0.8289[/tex]
(d)
Compute the probability that the sample proportion is between 0.57 and 0.60 as follows:
[tex]P(0.57<\hat p<0.60)=P(\frac{0.57-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.60-0.61}{0.019})\\\\=P(-2.11<Z<-0.53)\\\\=P(Z<-0.53)-P(Z<-2.11)\\\\=0.29806-0.01743\\\\=0.28063\\\\\approx 0.2806[/tex]
(e)
Compute the probability that the sample proportion is less than 0.51 as follows:
[tex]P(\hat p<0.51)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.51-0.61}{0.019})\\\\=P(Z<-5.26)\\\\=0[/tex]
If alice earns 56% more than wallaceAlice's salary is how many times Wally's salary?
Answer:
Alice's salary is 1.56 times Wally's salary
Step-by-step explanation:
Let Wally's salary = x
Alice's salary = x + 56% of x
= x + 0.56x
= 1.56x
= 1.56 * Wally's salary
Answer:b
Step-by-step explanation:
Is -3•-15 positive or negative
Answer:
positive
Step-by-step explanation:
A negative times a negative is a positive
What is the whole number quotient and reminder for 32÷6
Answer: whole number is 5 and remainder is 2
Step-by-step explanation:
six goes into 32 5 times to get 30
32-30=2
X2+3x-4 please do this question ASAP
Answer: x2+3x−4
Step-by-step explanation: there is no like terms
Answer:
5x-4: x2+3x-4
2x+3x-4
5x-4
bithssbsjjsjsnsisjslala
What is the solution of the system of equations? y – 2x = –6 y – 4x = 0
A. (–3, –12)
B. (–3, 12)
C. (3, –12)
D. (3, 12)
Answer:
The solution of the system of equations will be:
[tex]y=-12,\:x=-3[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\begin{bmatrix}y-2x=-6\\ y-4x=0\end{bmatrix}[/tex]
Isolate [tex]y[/tex] for [tex]y-2x=-6[/tex], [tex]y=-6+2x[/tex]
[tex]\mathrm{Subsititute\:}y=-6+2x[/tex]
[tex]\begin{bmatrix}-6+2x-4x=0\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-6-2x=0\end{bmatrix}[/tex]
Isolate x for [tex]-6-2x=0[/tex], [tex]x=-3[/tex]
[tex]\mathrm{For\:}y=-6+2x[/tex]
[tex]\mathrm{Subsititute\:}x=-3[/tex]
[tex]y=-6+2\left(-3\right)[/tex]
[tex]y=-12[/tex]
Therefore, the solution of the system of equations will be:
[tex]y=-12,\:x=-3[/tex]
There are
20
%
20%20, percent more goblins than wizards in magic club. There are
120
120120 goblins in magic club.
How many wizards are in the magic club?
Answer:
100 wizards in magic club
Step-by-step explanation:
20% of 120 is 20 so
120-20=100
Find the coordinates for these please :)
Write an expression for Jameson had 2 cookies and Jared gave him some more
Answer:
x+2
Step-by-step explanation:
Use any letter for a variable. X is the most common.
let's say x is Jameson. To show he got 5 more, add x by 5
x+5
Hope this helps
Answer:
2+n=?
Step-by-step explanation:
Because we do not know the amount Jared gave him and we do not know the total amount either.
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 2.5 minutes. This process can be described using an exponential probability density function with a mean of 2.5.
a. Find the probability that a customer has to wait more than 4 minutes. (Round your answer to three decimal places.)
b. Find the probability that a customer is served within the first minute. (Round your answer to three decimal places.)
c. The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?
Step-by-step explanation:
a)P( a customer has to wait more than 4 minutes )=P(X>4)=e-4/2.5 =0.202
b)probability that a customer is served within the first minute =P(X<1)=1-e-1/2.5 =0.3297
c) here 99th percentile corresponding value =-2.5*ln(1-0.99)=11.51 minutes ~ 12minutes
Answer:
a) 0.2018
b)0.329
c)x=5
Step-by-step explanation:
We are given that This process can be described using an exponential probability density function with a mean of 2.5.
So, [tex]\lambda = 2.5[/tex]
[tex]f(x)=\frac{1}{\lambda}e^{-\frac{1}{\lambda} x}[/tex]
Where x>0 , [tex]\lambda[/tex] > 0
a) Find the probability that a customer has to wait more than 4 minutes.
[tex]P(X>4)=\frac{1}{\lambda} \int\limits^{\infty} _{4} {e^{\frac{-1}{\lambda} x} \, dx[/tex]
[tex]P(X>4)=1-(1-e^{\frac{-4}{\lambda}})\\P(X>4)=e^{\frac{-4}{2.5}}\\P(X>4)=0.2018[/tex]
b)Find the probability that a customer is served within the first minute.
[tex]P(0<x<1)=1-e^{\frac{-1}{2.5}}=0.329[/tex]
c)The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?
[tex]P(X>x) \leq 0.01\\e^{\frac{-x}{2.5}} \leq 0.01\\\frac{-x}{2.5} \leq log (0.01)\\x=-2.5 \times log (0.01)\\x=5[/tex]
help me please its due 11:45
Brainleist!!!!!!
!!!!!!!!!!!!!!!!!
Answer:
function
Step-by-step explanation:
i have a hunch that is function i need one more brainleist pls
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
• $1.26
• $5.40
• $19.26
• $30.60
Answer:
• $19.26
Step-by-step explanation:
Answer:
19.26
Step-by-step explanation:
Explanation
7% = 7/100 = 0.07
1 in formula before represents the 18 dollars.
Formula
18*(1 + 7/100)
18 (1 + 0.07)
18(1.07)
19.26
She will have to pay 19.26 dollars.
Match the reasons to the statements given.
Given:
ABCD
EF contains T
Prove:
ET = FT
Answer:
The reasons and the statements are given as follows;
1. Parallelogram ABCD [tex]{}[/tex] Given
2. BT = TD [tex]{}[/tex] Diagonals of parallelogram bisect each other
3. ∠1 = ∠2 [tex]{}[/tex] Vertically opposite angles
4. BC ║ AD [tex]{}[/tex] Definition of parallelogram
5. ∠3 = ∠4 [tex]{}[/tex] If lines are parallel then alternate interior
angles are equal
6. Triangle BET congruent to Triangle DFT by ASA
7. ET = T_F [tex]{}[/tex] CPCTE
Step-by-step explanation:
Statement [tex]{}[/tex] Reason
1. Parallelogram ABCD The given quadrilateral
2. BT = TD Based on the properties of a parallelogram, the parallelogram diagonals bisect each other
3. ∠1 = ∠2 Vertically opposite angles formed by two intersecting lines are equal
4. BC ║ AD By definition, the opposite sides of a parallelogram are parallel
5. ∠3 = ∠4 Based on the property of equality of the alternate interior angles of two parallel lines
6. Triangle BET congruent to Triangle DFT by Angle-Side-Angle rule of congruency
7. ET = T_F by Congruent Parts of Congruent Triangles are Equal, CPCTE, postulate.
The reasons that matches the statements in the two-column proof is shown in the table attached in the image below.
Recall:
Based on the, CPCTE Theorem, if two triangles are congruent, all its corresponding sides and angles of both triangles are therefore congruent together.The ASA Congruent Theorem justifies that two triangles are congruent if they have two pairs of congruent angles and a pair of included sides that are also congruent.Given parallelogram ABCD, and also, we know that EF contains T, to prove that ET = FT, establish that:
ΔBET ≅ ΔDFT by the ASA Congruence Theorem, then demonstrate that ET = FT by the CPCTE Theorem.
Therefore, the reasons that matches the statements in the two-column proof is shown in the table attached in the image below.
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11. Use the Distributive Property to solve the equation below. Use pencil and paper. Explain why the Distributive Property makes it possible to solve this equation. 37 - (2c + 3) = 4(c + 5) + C
Answer: C equals 2.
Step-by-step explanation:
37 + (-2c - 3) = 4c + 20 +c (distribute)
34 - 2c = 5c +20 (combine like terms)
14 = 7c (divide)
c = 2
If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct
Answer:
Step-by-step explanation:
U right it’s not any of them and if u single I’m here
Answer:
B.
Step-by-step explanation:
AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:
[tex]AD=AB+BC+CD[/tex]
Since AB=CD, we can substitute:
[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]
We know that CD is 9 and BC is 5x. AD is 53. So, substitute:
[tex]53=2(9)+5x[/tex]
Solve for x:
[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]
The value of x is 7.
Hence, our answer is B.
A _____ has two pairs of parallel sides.
1)Kite
2)Rhombus
3)Trapezoid
Answer:
3) Trapezoid
It has 4 sides and 2 of the sides are parallel
Answer:
A rhombus
Step-by-step explanation:
The definition of parallel lines is two or more lines that never intersect, are on the same plane, and are the same distance apart no matter what point you measure from. The sides of a rhombus are parallel and the top and bottom of the shape are parallel to each other.
Antoine is cutting a 5/16 inch board for a project what is 5 5/16 as a decimal
Answer: 5.3125
Step-by-step explanation: To convert a mixed number to a decimal, first you’ll have to drop the 5. Next, convert 5/16 to a decimal by dividing 5.000 by 16, which is 0.3125. Lastly, add 5 and 0.3125 to get a final answer of 5.3125.
party monkey charges $75 for set up and $8 per person. birthday central charges $50 for set-up and $11 per person. for how many guests will party monkey be less than birthday central.
Answer:
9 or more
Step-by-step explanation:
Mr. Samson deposited some money into his checking account. Then after spending $33, the balance in his account was $67. How much was the deposit?
Answer:
He deposited $100
Step-by-step explanation:
67 + 33 = 100
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-10x + 6 = -74 first to get is right gets 10 points
Answer:
x = 8
Step-by-step explanation:
-10x+6=-74
-10x=-74-6
-10x=-80
x=-80/-10
x=8
Answer:
The answer is x=8
Step-by-step explanation:
If you need me to explain let me know
help due today hurry up
Answer:
What is the question?
Step-by-step explanation:
I'll see if I ca help
Answer:
yeha i would be happy to help but wheres the qoution i will wdit my answer and give you answer of your quotion
simplify [tex](3x2y3)3( x3)[/tex]
the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A
To simplify the expression (3x²y³/z³)³, we need to apply the power of a power rule. In this rule, we raise each term inside the parentheses to the power outside the parentheses.
So, let's simplify step by step:
(3x²y³/z³)³ = 3³ * (x²)³ * (y³)³ / (z³)³
Simplifying further:
3³ = 27
(x²)³ = x²⁽³⁾ = x⁶
(y³)³ = y³⁽³⁾ = y⁹
(z³)³ = z³⁽³⁾ = z⁹
Combining all the simplified terms, we have:
27 * x⁶ * y⁹ / z⁹
Therefore, the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A. This expression represents the original expression after raising each term inside the parentheses to the power of 3 and combining them into a single term.
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Write the equation 22x - 2y = -18 in slope-intercept form (y=mx+b).
Answer:
y= 11x -5
Step-by-step explanation: