Answer:
B stands for the area of the base of a figure.
Step-by-step explanation:
Example: In a square prism, the area of the base would be the length times the width of the square.
Write the equation 22x - 2y = -18 in slope-intercept form (y=mx+b).
Answer:
y= 11x -5
Step-by-step explanation:
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]
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.
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.
Find the coordinates for these please :)
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
Joe's grandma lives 36 blocks up the street from Joe. On Saturday, Joe
rode his bike two-thirds of the way to his grandma's house and then realized he
forgot the present he was going to give her. Joe rode back to his house, got the
present, and rode all the way to his grandma's house. Then he rode straight home.
How many blocks did Joe ride in all? Use labeled sketches, numbers, or words to
solve this problem. Show all your work.
Answer:
108 blocks.
Step-by-step explanation:
Joe's grandmother lives 36 blocks away from Joe.
Joe rode two thirds of the way to the house is 2/3 * 36= 24 blocks.
Then he rode back to his house (1 - 2/3) * 36= 12 blocks.
Then Joe rode back to grandma's house= 36 blocks.
Then he rode straight home= 36 blocks.
Total number of blocks he rode is 24+12+36+36= 108 blocks.
please help asap question three
Answer:
(-6,-6) I think that A is correct
please answer the image below
Answer:
301.593Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 4 km radius
h = 8 km
plugin values into the formula
surface area = 2πrh + 2πr²
= 2π (4) 8 + 2π (4)²
= 201.062 + 100.531
= 301.593 km²
What is 3/7 - 1/4? .....
Answer:
Exact Form: 5/28
Decimal Form: 0.17857
you answer 24 questions on a 100 point test correctly and earn 96%.
There are 25 questions in total, each question is worth 4 points.
Your friend earns a grade of 76%on the same test. How many questions did your friend answer correctly?
Answer:
19
Step-by-step explanation:
He gets 6 wrong and 19 correct
help me please its due 11:45
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.
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]
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:
x + 1 - x = 1
Solve this equation
Please help
Answer:
x=1
Step-by-step explanation:
1+1-1=1
1+1=2
2=1=1
Answer:
[tex]x=Any\ real\ number[/tex]
Step-by-step explanation:
[tex]x+1-x=1\\1=1\\As\ x\ just\ gets\ canceled\ x\ can\ take\ any\ real\ values.[/tex]
can we still reduce 4/5 to the lowest term?
Answer:
no as both terms cannot be futher divided.
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:
-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
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]
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.
Learn more about ASA Congruence Theorem on:
https://brainly.com/question/3168048
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.
Learn more about expression here
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-2 1/4 x 6 8/9 please help
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction and then multiply
[tex]-2 \frac{1}{4}=- \frac{2*4+1}{4} = -\frac{9}{4}\\\\6 \frac{8}{9}= \frac{6*9+8}{9} = \frac{62}{9}\\\\-2\frac{1}{4}* 6\frac{8}{9} = \frac{-9}{4} * \frac{62}{9}\\\\= \frac{-31}{2}\\\\= -15 \frac{1}{2}[/tex]
A person is studying the relationship between temperature and mental ability. So,
she devised a test in which a group of 10 mice are timed as they run through a maze
which leads to food and water. The researcher repeats the test 3 times with each
group to see how much they improve and she uses three groups.
• Group 'A', does the test under normal room temperature of 76°F.
• Group 'B', does the test in the cold at a temperature of 45°F.
• Group 'C', does the test under a hot temperature of 105°F.
How would you most correctly describe Group 'A' in a statistical study?
Answer:
Group A is a Control Group
Step-by-step explanation:
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
Please help
Picture inserted
Multiple choice
Will appreciate it if u help!
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
Hope this helps! Please mark brainliest!
please answer the question below
Answer:
The rate of change in the submarine's elevation is 26.0 feet per second.
Step-by-step explanation:
She begins 151 feet below sea level
Thus, her initial point is y₁ = 151 feet below sea level
i.e. at t₁=0 seconds, y₁ = 151 feet below sea level
After descending for the 3 seconds, she is 229 feet below sea level.
Thus, her second point is y₂ = 229 feet below sea level after 3 seconds
i.e. at t₂=3 seconds, y₂ = 229 feet below sea level
The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.
slope = rate of change = (y₂ - y₁)/(t₂ - t₁)
= (229 - 151) / (3 - 0)
= 78/3
= 26.0
Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.
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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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.