Answer:
A = 16 pi units^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi ( 4)^2
A = 16 pi units^2
Please answer this correctly
Answer:
20-39 ⇒ 5
40-59 ⇒ 3
60-79 ⇒ 5
80-99 ⇒ 10
Answer:
20-39: 5
40-59: 3
60-79: 5
80-99: 10
Step-by-step explanation:
If you just added up, you can find all the values.
When 3 times a number is subtracted from 10, the result is the sum of the number and 22
Answer:
x = -6
Step-by-step explanation:
Let the number be x
Condition:
=> 10-3x = x+22
Let's Solve it:
=> -3x-x = 22-10
=> -2x = 12
Dividing both sides by -2
=> x = -6
Answer:
x=6
Step-by-step explanation:
in a bag there are 2 red, 3 yellow, 4 green, 6 blue marbles.
what is the probability of p (blue)?
Answer:
2/5
Step-by-step explanation:
2 red, 3 yellow, 4 green, 6 blue marbles. = 15 marbles
P( blue) = blue / total
=6/15
=2/5
What is the remainder when the product of the 5 smallest prime numbers is divided by 42?
Answer:
21
Step-by-step explanation:
The 5 smallest prime numbers are 1, 2, 3, 5, and 7.
So when multiplied it equals 105.
Divide by 42 and you get 2 21/42
So you have a remainder of 21
What is the slope of the line represented by the equation y = 4/5x - 3?
in
Answer:
[tex]\boxed{\sf \ \ \ \dfrac{4}{5} \ \ \ }[/tex]
Step-by-step explanation:
when the equation is like y = ax + b
the slope is a
in this case we have
[tex]y \ = \ \dfrac{4}{5}x\ \ - \ 3[/tex]
so the slope is
[tex]\dfrac{4}{5}[/tex]
5.1y + 21.3 = –0.3y – 24.6
Answer:
y = -8.5
Step-by-step explanation:
Answer:-8.5
Step-by-step explanation:
5.4y=-45.9
y=-8.5
To solve the system given below using substitution, it is best to start by
solving the second equation for y.
5x + 2y = 33
6y + x = 3
true or false
Answer:
False, it is easier to isolate x.
Step-by-step explanation:
6y+x=3
x=3-6y
If the volume of a cube is
64 cubic feet, what is the
surface area of the cube in
square feet?
Answer:
96 ft^2
Step-by-step explanation:
volume=l^3
l=4
4x4x4=64
Surface area (4x4)=16
16x6=96
Answer:
SA =96 ft^2
Step-by-step explanation:
The volume of a cube is given by
V = s^3
64 = s^3
Take the cube root of each side
64 ^ 1/3 = s^3 ^ 1/3
4 =s
The side length si 4
The surface area of a cube is
SA = 6 s^2
SA = 6 * 4^2
SA = 6 * 16
SA =96 ft^2
There are three highways in the county. The number of daily accidents that occur on these highways are Poisson random variables with respective parameters 0.3, 0.5, and 0.7.
Required:
Find the expected number of accidents that will happen on any of these highways today.
Answer:
50% Chance
Step-by-step explanation:
So Pr(0.3, 0.5, and 0.7) = (30% + 50% + 70%) / 300
= 1/2
Look at this expression.
Can you put it in the simplest form?
The denominator contains negative exponents. Using the negative exponent rule, multiply the denominator by -1 and then reverse the fraction and multiply.
The denominator becomes x^3y^4
The problem then becomes -3x^6y^4 times x^3y^2
When multiplying exponents add them together:
The final answer is -3x^9y^6
find the value of ∛27
Answer:
3
Step-by-step explanation:
3^3 = 27
Find the product
2y2(3x + 5z)
Answer:
6xy^2+10y^2z is the answer
At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance? A.Negative 32 dollars B.Negative 22 dollars C.Negative 19 dollars D.Negative 11 dollars
Answer:
A. Negative 32 dollars
Step-by-step explanation:
Kendra has a debt. Doubt means that the balance is Negative.
If the debt is greater than 25 USD . Kendra's debt has to be more negative than 25 . Amoung all other numbers only debt 32 is more negative than 25.
Answer:
I think it would be 32
Step-by-step explanation:
So she can pay the debt off
Write an expression to represent: Eight more than the product of two and a number x.
Answer:
8 + 2x
Step-by-step explanation:
You are adding 8 to 2 times an unknown number.
Select the correct answer.
Four-thirds times the sum of a number and 8 is 24. What is the number?
A.
40
B.
26
O c.
24
OD.
10
Answer: D. 10
Step-by-step explanation:
4/3 (x + 8) = 24
Multiply both sides by 3/4....
x + 8 = 18
x = 10
The populations and areas of four states are shown.Which statement regarding these four states is true?
The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside?
The question is incomplete. The complete question is as follows.
The city of Oakdale wishes to see if there is a linear relantionship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a pont estimate Kilowatt usage when the Temperature is 90 degrees outside?
Temperature(x) Kilowatts(y)
73 680
78 760
85 910
98 1510
93 1170
83 888
92 923
81 837
76 600
105 1800
Answer: The point estimate is 1132.5 Kilowatts
Step-by-step explanation: Regression analysis is used to find an equation that fits the data. Once this equation is found, it's used to make predictions. One of the regressions is linear regression.
To find the linear regression model:
1) Create a table with the following: ∑y; ∑x; ∑xy; ∑x²; ∑y²;
2) Use these equations to find coefficients a and b:
a = (∑y)(∑x²) - (∑x)(∑yx) / n(∑x²) - (∑x)²
b = n(∑xy) - (∑x)(∑y) / n(∑x²) - (∑x)²
3) Substitute the coefficients into the equation of form: y = a + bx
For the table above, the linear regression equation is:
y = - 2004 + 34.85x
When Temperature is 90, i.e. x = 90:
y = - 2004 + 34.85*90
y = 1132.5
The estimate Kilowatt is 1132.5.
2 Points
If f(x) = x + 8 and g(x) = -4x - 3, find (f+ g)(x).
O A. (f+ g)(x) = -3x + 5
O B. (f+ g)(x) = 5x + 11
O C. (f+g)(x) = -5x - 11
O D. (f+ g)(x) = 3x - 5
SUBMI
Answer: A
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we cna add them together.
x+8+(-4x-3)
x+8-4x-3
-3x+5
A contractor is considering whether he should take on a project that promises a profit of $8800 with a probability of 0.83 or a loss (due to bad weather, strikes, etc.) of $2900 with a probability of 0.17. What is the expected profit for the contractor
Answer: 6811
Step-by-step explanation:
in this problem the values are 8800 and -2900 and the respective probabilities are 0.83 and 0.17
--
so the expected profit o# sum = (x*P(x))=8800*(0.83)+(-2900)*(0.17)=6811
The daily cost C (in dollars) for manufacturer to produce x electronic video components is given by
C (x) = 1000 ln (3 √ 4 x 2 − 500)
If the manufacturer is currently producing 60 each day, by how much can the cost be expected to change if the production is increased by one component each day to 61 components each day?
help me please please
The length of the pool would be 8.5 x 4.5 = 38.25 meters.
Using the Pythagorean theorem the diagonal is:
Diagonal = sqrt(38.25^2 + 8.5^2)
Diagonal = 39.183 meters
You swim it 6 times.
Total distance = 39.183 x 6 = 235.098 meters.
Round to 2 decimals = 235.10 meters
What is -5/4 to the 2nd power?
Answer:
[tex]\frac{25}{16}[/tex]
Step-by-step explanation:
[tex](-\frac{5}{4})^2\\\\ \text {Apply power of a fraction rule: } (\frac{a}{b})^x=\frac{a^x}{b^x}\\\\(-\frac{5}{4})^2 = \frac{-5^2}{4^2}=\frac{25}{16}\\\\\boxed{(-\frac{5}{4})^2=\frac{25}{16}}[/tex]
A real estate agent is showing homes to a prospective buyer. There are ten homes in the desired price range listed in the area. The buyer has time to visit only four of them. If four of the homes are new and six have previously been occupied and if the four homes to visit are randomly chosen, what is the probability that all four are new
Answer:
0.48% probability that all four are new
Step-by-step explanation:
The homes are chosen "without replacement", which means that after a home is visited, it is not elegible to be visited again. So we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Total of 10 homes, so N = 10.
We want 4 new, so x = 4.
In total, there are 4 new, so k = 4.
Sample of four homes, so n = 4.
Then
[tex]P(X = 4) = h(4,10,4,4) = \frac{C_{4,4}*C_{6,0}}{C_{10,4}} = 0.0048[/tex]
0.48% probability that all four are new
The calculated probability is "0.0048".
Probability calculation:From a total of [tex]N=10\ \ \text{homes},\ r=4[/tex] are completely new while 6 are not.
Let X indicate the series of innovative dwellings in a sample of[tex]n=4[/tex] homes.
X is the next step. Algebraic distribution for parameters[tex]N=10, r=4, \ \ and\ \ n = 4[/tex] Only integer values in this range: can be given to a hypergeometric random variable.
[tex]\to [ \max {(0,\,n+r-N)}, \min {(n,\,r)} ] = [ 0, 4 ] \\\\ \to P( X = 4) \\\\ \to N=10\\\\ \to r=4\\\\ \to n = 4[/tex]
[tex]\to \bold{P(X=k) = \dfrac{\binom{r }{ k}{\binom{N-r} {n-k}}}{\binom{N}{n}}} \\\\\to P(X =4 ) = \dfrac{\binom{r }{ 4}{\binom{N-r} {n-4}}}{\binom{N}{n}} \\\\[/tex]
[tex]= \dfrac{\binom{4 }{ 4}{\binom{10-4} {4-4}}}{\binom{10}{4}}\\\\= \dfrac{\binom{4 }{ 4}{\binom{6} {0}}}{\binom{10}{4}} \\\\= \dfrac{ 1 \times 1}{210} \\\\= \dfrac{ 1}{210} \\\\= \dfrac{1}{210} \\\\= 0.004762[/tex]
Using the excel function:
[tex]\text{HYPGEOM.DIST( k, n, r, N. cumulative)}[/tex] for calculating the [tex]P_{X} (4)[/tex]:
[tex]\to \text{HYPGEOM.DIST( 4, 4, 4, 10, FALSE) = 0.0047619047619}[/tex]
[tex]\to P(X= 4 ) = \frac{1}{210} = { 0.0048 }[/tex]
Find out more information about the probability here:
brainly.com/question/2321387
A game require rolling a six sided die numbered fro 1 to 6. What is the probability of rolling a 1 or a 2?
Answer:
1/3
Step-by-step explanation:
hello,
probability of 1 = 1/6
probability of 2 = 1/6
probability of 1 or 2 = 1/6+1/6 as probability of 1 and 2 = 0
so the answer is 2/6=1/3
Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified?
Answer:
[tex]j^4k[/tex]
Step-by-step explanation:
[tex]3j^4k-2jk^3+jk^3-2j^4k+jk^2\\2j^4k-2j^4k-2jk^3+jk^3+jk^3\\j^4k[/tex]
Answer:
4
Step-by-step explanation:
give me brainliest
Calculate the length of the
circumference of a circle with
radius of 1.6m
Answer:
C = 10.05
Step-by-step explanation:
Formula: C = 2[tex]\pi[/tex]r
circumference = ?
Solution:
C = 2[tex]\pi[/tex](1.6 m) (multiply)
C = 3.2[tex]\pi[/tex]m
C = 3.2(3.14) m (multiply)
C = 10.048
Rounded off (If needed): 10.05
Please answer this correctly
Answer:
Skateboard:
Scooter:
Bike:
Step-by-step explanation:
19 + 14 + 17 = 50 (there were 50 customers)
19 out of 50 = 38%
14 out of 50 = 28%
17 out of 50 = 34%
Hope this helps!
The computer hardware company requires all of its chips purchased from its supplier of computer chips to meet specifications of 1.2 cm with the margins of error of plus and minus 0.1 cm. Based on the computer chip supplied last month, the mean length of a computer chip was 0.9 cm. What are the elements that the production manager should consider in determining his company's ability to produce chips that meet specifications
Answer:
Step-by-step explanation:
The computer hardware company requires all of the chips purchased from its supplier of computer chips to meet the specification of 1.2 centimeters, with error margins of -0.1cm and +0.1cm
This means that the required length of computer chips is between 1.1cm - 1.3cm
Where 1.1cm = [1.2 - 0.1]
1.3cm = [1.2 + 0.1]
Based on the computer chips supplied last month, mean length was 0.9cm. This means that most of the chips were (in length) less than the lower boundary of 1.1cm.
The element that the production manager should consider in determining his company's ability to produce chips that meet specification is:
- The length of the chips.
The length of the chips his production team produces should be tailored to meet the length specification of his client.
Quinn collected some geometric figures that he calls jimps. What attribute do these jimps have in common?
Answer:
Concave
Step-by-step explanation:
Which of the following equations describes the line shown below? Check all
that apply.
(-6,4)
(3,1)
Answer:
y-4=-1/3(x+6)
y-1=1/3(x-3)
Step-by-step explanation:
4-1/-6-3
3/-9
-1/3
y-4=-1/3(x+6)
y-1=1/3(x-3)