The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?
Answer:
r =13
Step-by-step explanation:
on the picture
If it's helpful ❤❤
THANK YOU.
I’m stuck please help guys
Answer:
option B: 15\(x^8 y^5 z^7\)
Step-by-step explanation:
we just calculate 5 x^4 y^2 z^2 multiplied by 3x^4 y^3 z^5
and that gives the answer
Use StatKey or other technology to find the regression line to predict Y from X using the following data.
X 10 20 30 40 50 60
Y 111 109 110 94 92 93
Click here to access StatKey.
Round your answer for the intercept to one decimal place and the answer for the slope to two decimal places.
The regression equation is Enter your answer; The regression equation, intercept
+ Enter your answer; The regression equation, slope
X.
The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).
In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.
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How many solutions does the equation 4(4x+3)=19x+9-3x+3 have one solution, no solutions, or infinitely many solutions?
Answer:
Infinitely many solutions.
Step-by-step explanation:
4(4x+3)=19x+9-3x+3
16x + 12 = 16x + 12
0 = 0, so it doesn't matter what x is.
How do I find the length of AB
Also can I get explained on how to do it!!
ASAP
Answers
A-211.63
B-9.35
C-207
D-44.98
Answer:
Hello, there!!!
The answer is option D.
but you can also write 45 by rounding off, alright.
Hope it helps...
hello
now we know that this is a vertical triangle.
if C = 90° and B = 12°
90+12 = 102 180-102=78.
so A = 78°
now look at the A. A is looking to the CB.
so we can set up an equal.
A is 44
and
B is ?
if 78 is 44
12 is x 12×44÷78= 6.7692..
right now
AC = 6.7692
BC is = 44
this is a vertical triangle thats why the verticals angle's lookings (AB) square, should be the others lookings squares sum.
6.7692^2 = 45.2875..
44^2 = 1936
1936+45.2875= 1981.2875
now im taking 1981.2875 into the square root to find AB.
✓1981.2875 = 44.5
there were many numbers after the 1981 thats why it will probably 44.9
good luckk
If the expression 4\(\frac{4\sqrt{81x^4y^2}}{x^-1/2y^-1}\) is written in form ax^by^c, then what is the product of a b c?
The product of a, b and c is equal to 18.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is are the expression as -
\($\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }\)
The given expression is -
\($\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }\)
We can rewrite it as -
\($\frac{(81x^{4} y^{2}) ^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = \frac{(3^{4} x^{4} y^{2})^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = 6xy^{\frac{1}{2} } xy\)
Now, we can write -
\(6xy^{\frac{1}{2} } xy = 6x^{2} y^{(\frac{1}{2} + 1) } = 6x^{2} y^{(\frac{3}{2}) }\)
On comparing, we get -
a = 6
b = 2
c = 3/2
So -
a x b x c = 6 x 2 x 3/2 = 18
a x b x c = 18
Therefore, the product of a, b and c is equal to 18.
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1) Find the ratios for sin A, cos A, and tan A for the triangle below.
C
6
A
sin A=
8
10
COS A =
B
tan A =
Answer:
Sin A = 8/10 or 4/5
Cos A = 6/10 or 3/5
Tan A = 8/6 or 4/3
The heaviest load that an elevator can safely carry is 1,500 pounds. Gregg who weighs 155 pounds, is going to take boxes of supplies weighing 17 pounds each with him in the elevator. How many boxes of supplies can Gregg safely take with him on the elevator at one time?
Answer:
79 boxes
Step-by-step explanation:
1500-155= 1345
1345/17=79.11
If it took 4 hours to clean 8 houses, how many houses could be cleaned in 7 hours
Answer:
14
Step-by-step explanation:
you clean 2 a hour so 7*2=14
Answer:
14 houses
Step-by-step explanation:
plz, help. I need it...
Answer: (6, 3)
Step-by-step explanation:
A regional survey found that 60% of all families who indicated an intention to buy a new car bought a new car within 3 months, that 10% of families who did not indicate an intention to buy a new car bought one within 3 months, and that 26% indicated an intention to buy a new car. If a family chosen at random bought a car, find the probability (as a percent) that the family had not previously indicated an intention to buy a car. (Round your answer to two decimal places.)
Let A be the event that a family chose at random indicated an intention to buy a new car and let B be the event that a family chose at random bought a new car within 3 months.
We are asked to find P(A'), which is the probability that a family chosen at random had not previously indicated an intention to buy a car.
We can use the given information to write the following conditional probabilities:
P(B | A) = 60%
P(B | A') = 10%
P(A) = 26%
We can use these probabilities to apply Bayes' theorem to find P(A' | B), which is:
P(A' | B) = P(B | A') * P(A') / P(B)
Substituting the values from the problem, we have:
P(A' | B) = (10%) * (100% - 26%) / (60% * 26% + 10% * (100% - 26%))
= (10%) * (74%) / (60% * 26% + 10% * 74%)
= (10%) * (74%) / (15.4% + 7.4%)
= (10%) * (74%) / (22.8%)
= 43.86%
Therefore, the probability that a family chosen at random had not previously indicated an intention to buy a car is 43.86%.
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Listed below in order are prices in dollars for a Big Mac hamburger in the , , , , , , , , , , , and . Such data are used to compare currency exchange rates and the costs of goods in different countries. Find the range, variance, and standard deviation for the given sample data. What do the measures of variation tell us about the prices of a Big Mac in different countries?
Based on the information, we can infer that the range is an adequate indicator to affirm that the price difference of the Big Mac in different countries is minimal.
How to find the range?To find the range of the given data we must perform the following procedure:
We must find the highest and lowest data, in this case the highest and lowest data are 6.8 and 1.98 respectively. So, to find the range we must find the difference between these two data:
6.8 - 1.89 = 4.91
How to find the variance?To find the variance we must apply the following formula:
S² = 1 / 11 - 1 ( 205.59 - (44.67)²/11)
S² = 2.42
How to find the standard deviation?To find the standard deviation we must apply the following formula:
S = \(\sqrt[n]{variance}\)
S = \(\sqrt{2.42}\)
S = 1.56
What do measures of variation tell us about the prices of a Big Mac in different countries?Based on the above data, we can infer that the range is an indicator that the difference in the Big Mac price in different countries is minimal.
Note: This question is incomplete. Here is the complete information:
Attached image
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Kate ordered a set of beads. She received 40 beads in all. 12 of the beads were blue. What percentage of the beads were blue?
Answer Qucikly
Answer: 30%
Step-by-step explanation:
12/40 = 3/10 = 0.30
0.30*100 = 30%
Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Write an Equation given the point (4, 10) and a rate of -4.
Answer:
y=-4x+36
Step-by-step explanation:
y=mx+b
m is slope or rate; so m = -4
y=-4x + b
10=(-4×4) + b
36 = b
y=-4x+36
what is the answer? please
Answer:
cvvvvvvvvvvvvvvgfjgf
Step-by-step explanation:
cxvvvvvvvvvvvvvv
Suppose that survey is planned to estimate the proportion of population that is left-handed The sample data will be used to form confidence interval: Which one of the following combinations of sample size and confidence leve will give the widest interval? n E 500, confidence level 909 n = 1,000, confidence level 909 n = 500, confidence level 959 n = 1,000, confidence level 959 Explain why this sample size and confidence level will give the widest interval: The Select-- sample size and Select- confidence level will both tend to increase the width of the confidence interval:
The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.
In this question, we have been given the combinations of sample size and confidence level.
We need to select a combinations of sample size and confidence level that will give the widest interval.
We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.
As we know increasing the confidence will increase the margin of error which results in a wider interval.
But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.
This means, for the widest interval we need to select a high confidence interval and small sample size.
Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.
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Calculate the correlation coefficient, r, for the data below.
This question is incomplete, the complete question is;
Calculate the correlation coefficient, r, for the data below.
X = -10 -8 -1 -4 -6 -7 -5 -3 -2 -9
Y = -15 -13 4 -4 -7 -11 -6 -2 1 -13
Answer: the correlation coefficient, r, for the data is 0.9896
Step-by-step explanation:
Given the data in the question;
correlation coefficient r = ?
we know that, C_Coeff is;
r = [ (Zn(∑xy) - (∑x)(∑y) ] / [ √[( n∑x² - (∑x)²) ( n∑y² - (∑y)²)] ]
so ;
X Y X² Y² XY
-10 -15 100 225 150
-8 -13 64 169 104
-1 4 1 16 -4
-4 -4 16 16 16
-6 -7 36 49 42
-7 -11 49 121 77
-5 -6 25 36 30
-3 -2 9 4 6
-2 1 4 1 -2
-9 -13 81 169 117
∑ -55 -66 385 806 536
now we substitute our values into the formula
r = [ (10×536 - (-55)(-66) ] / [ √[( 10×385 - (-55)²) ( 10×806 - (-66)²)] ]
r = 1730 / √( 825 × 3704 )
r = 1730 / √3055800
r = 1730 / 1748.0846
r = 0.9896
Therefore the correlation coefficient, r, for the data is 0.9896
in 15 years Pam hope to have $30,000to make a down payment on a house. how much would she need to invest right now in a mutual fund that earns 8% annual interest in order to have enough for her down payment in 15 years
Answer:
She needs to invest $13,636.36 right now
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
\(E = P*I*t\)
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
\(T = E + P\)
In this question:
In 15 years, so \(t = 15\)
She wants to have $30,000, so \(T = 30000\)
8% interest, so \(I = 0.08\)
We have to find P.
\(T = E + P\)
\(30000 = E + P\)
\(E = 30000 - P\)
Replacing:
\(E = P*I*t\)
\(30000 - P = P*0.08*15\)
\(30000 - P = 1.2P\)
\(2.2P = 30000\)
\(P = \frac{30000}{2.2}\)
\(P = 13636.36\)
She needs to invest $13,636.36 right now
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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which of the follow r-values represents the no or low coorelation
The r-value that represents the no or low correlation is 0.0
How to determine the r-value?For a r value to show no correlation, then the r value must be 0 or close to 0
Since the r values are not given, then we can assume that the r value is 0
Hence, the r-value that represents the no or low correlation is 0.0
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3 1/8 divided by (x - 4 7/28) = 17/18 + 1 5/6
(Key on how to write the mixed numbers: Three is a whole number and then the fraction is 1/8, 4 is the whole number and 7/28 is the fraction, 1 is the whole number and 5/6 is the fraction)
Please provide the work and the answer! :)
x = 301/56
Algebraic expressionsAlgebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expression
Given the algebraic expression,
\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)
Step 1:
Simplify the expression by converting the mixed numbers into improper fractions:
25/8 ÷ ( x - 119/28) = 17/18 + 11/6
Step 2: Simplify the right side of the equation
25/8 ÷( x - 119/28) = 17/18 + 33/18
25/8 ÷( x - 119/28) = 50/18
Step 3: Multiply both sides of the equation by (x - 119/28)
25/8 = 50/18 × (x - 119/28)
Step 4: Multiply both sides of the equation by (18/50)
25/8 × (18/50) = (x - 119/28)
Step 5: Simplify the left side of the equation
9/8 = (x - 119/28)
Step 6: Add 119/28 to both sides of the equation
9/8 + 119/28 = x
Step 7: Calculate the value of x:
x = 9/8 + 119/28
= 63/56 + 238/56
= 301/56
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Yessenia simplified an expression as shown below:
Answer:
Step 1
Step-by-step explanation:
Yessenia should have distributed 3 to (x+4) as her first step.
her steps should have been as follows:
x+6+3(x+4)
x+6+3x+12
re write: x+3x+6+12
4x+18
Which of the following is a true statement to square any number multiple in the number by two the inverse of scoring a number to divide the number by two to score a number multiply the number by itself a perfect square is a number whose square root is even number
The true statement is "To square a number, multiply the number by itself" which is the third option.
Which statement is true?Remember that we define a square number as a number that is equal to the product of an integer by itself.
So, A*A = B
if A is an integer number, then B is a square number, such that:
√B = √(A*A) = A
Then the true statement is:
"To square a number, multiply the number by itself"
This means that to square A, you will write:
A*A
As we did above.
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A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13
Least Squares | Standard | T
Parameter | Estimate | Error | Statistic| P-Value
Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396
Slope | 120.689 | 11.8442 | 10.1898 | 0.0000
a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?
b) Interpret the slope of the regression equation (In the context of question)?
c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?
d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.
Answer:
Step-by-step explanation:
a) The formula for the regression function is:
Maintenance Cost = 54.7757 + 120.689 x Age of Car
b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.
c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:
Y = a + bX ± tα/2 * SE
where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.
Plugging in the values, we get:
Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442
Y = 923.167 ± 26.010
Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.
d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.
To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.
(a) Solve 5x - 2 = x + 8
Show clear algebraic working.
Answer:
Required Answer:-\({:}\longrightarrow\)\(\sf 5x-2=x+8 \)
interchange both sides\({:}\longrightarrow\)\(\sf 5x-x=8+2 \)
\({:}\longrightarrow\)\(\sf 4x=10 \)
\({:}\longrightarrow\)\(\sf x={\dfrac {10}{4}}\)
\({:}\longrightarrow\)\(\sf x={\dfrac {5}{2}}\)
\({:}\longrightarrow\)\(\sf x=2.5 \)
Ella Fitzgerald had predicted that 300 people would indicate that they would be
likely to buy the product between the present time and next year. Determine the
absolute error and the relative error.
(A) Absolute, 9; Relative 3.2%
(B) Absolute, 11; Relative 3.8%
(C) Absolute, 15; Relative 4.5%
(D) Absolute, 16; Relative 4.7%
The absolute error and the relative error is (B) Absolute, 11; Relative 3.8%
How to calculate the relative ertor?From the information, Ella Fitzgerald had predicted that 300 people would indicate that they would be likely to buy the product between the present time and next year.
True value = 127 + 162 = 289
Absolute error = 300 - 289 = 11
Relative error = (300 - 289) / 289 × 100
= 3.8%
Therefore, the correct option is B
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3 x 1, 250 expanded form
The Expanded form of 3×1=3 is 3
The Expanded form of 250 is 200+50+0
Expanded form is nothing more than a method for rewriting a number such that the digit values are included. A place value exists for each number. It calculates that digit's value based on where it is in the number. As we move from left to right in a number, a digit's value rises. In comparison to the digits on the right, the ones on the left have a lower place value. The position of the number is used to calculate each number's value. We can comprehend the place value notations if we read them from right to left.
250=200(hundreds place)+50(tens place)+0(ones place)
Therefore, the Expanded form of 250 is 200+50+0.
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A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?
Answer:
ANSWER 5.3 miles
See IMAGE FOR SOLUTION
In this figure, h = 6, and r = 8.
What is the exact surface area of the cone?
Enter your answer in the box.
[answer] units²
Cone oriented with vertex on top and base on bottom. The perpendicular distance between the vertex and the base is labeled h. The radius of the circular base is labeled r.
\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=6\\ r=8 \end{cases}\implies SA=2\pi (8)(6+8) \\\\\\ SA=16\pi (14)\implies SA=224\pi \implies SA\approx 703.72~units^2\)