Answer:
17
Step-by-step explanation:
From a group of 3 men and 4 women, a delegation of 2 is selected. let x be the random variable that represents the number of women selected. write the probability distribution and find the expected number of women in the delegation?
What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π.
Brad has 3 pairs of pants, 7 tee shirts, and 2 pairs of sneakers. How many different outfit combinations can he wear
Answer:
42
Step-by-step explanation:
A line passes through the ordered pairs (4,1) and (2,8). What is the slope? Please help due today
A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats cost $45 each and regular seats cost $34 each. All of the theaters 75?preffered seats were sold out that evening. How many tickets were sold?
Hey can you please help me posted picture of question
what is the value of x sin x + 11 degrees equals cos 2x + 22 degrees enter your answer in the Box
Answer:
it is 19
Step-by-step explanation:
I just took this test and got 100 :)
Please help!!! I very much need help, thank you!
In which type of investment do you lend your money to a government agency or a corporation for a fixed period of time and earn interest?
a) bonds
b) stocks
c) mutual funds
Answer: a. Bonds
Step-by-step explanation:
Bond is a kind of money investment issued by private corporations or government banks.
Buying a bond is like issuing a loan to the issuer. The issuer will pay back the face value of the issued loan along with interest money. It is issued for a fixed period of time.
Answer:
a) bonds
Step-by-step explanation:
was right
a number cube is labeled 1 to 6 Find each probability write each answer as a fraction , a decimal, and percent P(2)
Quadrilateral has angles 45 degrees, 150 degrees, 65 degrees, and N degrees
A lunch in a fancy restaurant is three times as expensive as a lunch in a cafeeria. The lunch in the fancy restaurant costs 36. In five day workweek Mary eats at the fancy restaurant once and in the cafeteria the rest of the days. How much does she spend on lunches in that week
Hey can you please help me out on my question posted picture
find the midpoint of the line segment with the given endpoint (7,4) (9,-1)
Answer:
(8, 1.5)
Step-by-step explanation:
What is the distance d across the lake?
Answer-
The distance d across the lake is 90ft.
Solution-
In the picture,
ΔABC ≈ ΔCDE
Because,
∠ACB = ∠DCE (∵ vertical opposite angles)∠B = ∠D = 90°∠ACB = ∠CED (∵ as other two angles are same and sum of those two angles when subtracted from 180° will result the same)So, from similarity properties
[tex]\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{DC}[/tex]
[tex]\Rightarrow \dfrac{120}{20}=\dfrac{d}{15}[/tex]
[tex]\Rightarrow d=\dfrac{120\times 15}{20}=90[/tex]
Fill in the missing statements and reasons in the proof.
Given: PQRS is a parallelogram.
Prove: PR and QS bisect each other at T.
Answer:
We have to complete the proof.
PQRS is a parallelogram 1. Given
2. [tex]\overline{PQ}\:is\:parallel\:to\:\overline{RS}[/tex] Definition of a parallelogram
m∠1 ≅ m∠3 4. Alternate interior angles are equal or
m∠2 ≅ m∠4 congruent.
[tex]\overline{PQ}\:\cong\:\overline{RS}[/tex] Opposite sides of a parallelogram are congruent
ΔPQT ≅ ΔRST 5. Triangle are congruent by Angle-Side-
Angle congruent rule
[tex]\overline{PT}\:\cong\:\overline{RT}[/tex] 6. Corresponding parts of Congruent triangles
[tex]\overline{QT}\:\cong\:\overline{ST}[/tex]
7. PR and QS bisect each other at T Definition of a bisector
To prove that PR and QS bisect each other at T in a parallelogram PQRS, we can show that PR and QS intersect at T and divide each other into equal segments.
To prove that PR and QS bisect each other at T, we can use the fact that PQRS is a parallelogram.
We can start by showing that PR and QS intersect at a point, say T. Since PQRS is a parallelogram, its opposite sides are congruent. Therefore, PR is congruent to QS.
Next, we can show that PR and QS divide each other into equal segments. We can do this by proving that triangle PTR is congruent to triangle STQ using the side-angle-side (SAS) congruence criteria.
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hey can you please help me posted picture of question
Question# 12, find the slope
On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,288 kilowatt hours. On April 1, the meter read 21,163 kilowatt hours. a. How many kilowatt hours of electricity did the Smiths use during February? b. How many kilowatt hours did they use during March?
Find the length of JK and the measure of M
This diagram shows a scale drawing for small amphitheater if the scale factor is 1 cm= 10m, what is the area of the actual amphitheater.
A. =40m2
B.=80m2
C.=4,000m2
D.=8,000m2
Please help I will put who right
Answer:
4,000cm^2
Step-by-step explanation:
1/2
of the children within the city limits have a dog,
1/3
have a cat, and
1/6
have a dog and a cat. What fraction of those who have a dog also have a cat?
Answer: The fraction of the children who have a dog also have a cat is [tex]\dfrac{1}{3}.[/tex]
Step-by-step explanation: Given that [tex]\frac{1}{2}[/tex] of the children within the city limits have a dog, [tex]\frac{1}{3}[/tex] have a cat, and [tex]\frac{1}{6}[/tex] have a dog and a cat.
We are to find the fraction of those children who have a dog also have a cat.
Let, S denote the sample space of the given experiment.
Then, n(S) = 1.
Let, event A and event B represents the fractions of children having a dog and a cat respectively.
Then, according to the given information, we have
[tex]n(A)=\dfrac{1}{2},~~~n(B)=\dfrac{1}{3},~~~n(A\cap B)=\dfrac{1}{6}.[/tex]
The fraction of children who have a dog also have a cat is given by the conditional probability of event B given A.
That is, he required probability is
[tex]P(B/A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac{1}{6}}{\frac{1}{2}}=\dfrac{1}{3}.[/tex]
Thus, the fraction of the children who have a dog also have a cat is [tex]\dfrac{1}{3}.[/tex]
hey can you please help me posted picture of question
find 1/9 as many as 3 divided by 5
Final answer:
To find 1/9 as many as 3/5, you multiply 3/5 by 1/9 to get 3/45, which simplifies to 1/15.
Explanation:
To solve the student's question, we need to find what is 1/9 as many as 3/5. This involves multiplying the fraction 3/5 by the fraction 1/9. Here is the step-by-step calculation:
Multiply the numerator of the first fraction (3) by the numerator of the second fraction (1) to get the numerator of the answer.Multiply the denominator of the first fraction (5) by the denominator of the second fraction (9) to get the denominator of the answer.Combine these to get the answer in fractional form.The calculation will look like this: (3/5) × (1/9) = 3/45 = 1/15.
Thus, 1/9 as many as 3/5 is 1/15.
Which answer shows a correct order to solve this story problem? Maurine had to pay $2.52 tax on her purchases. She bought 3 books for $12.99 each, 2 pens for $0.69 each, and a magazine for $2.99. How much did Maureen spend? A. Step 1: Add the price of a book and a pen. Step 2: Multiply by 3 and then by 2. Step 3: Add $2.99 to that result. Step 4: Add the tax to the total of the purchases. B. Step 1: Calculate the total price of the 2 pens. Step 2: Add $2.99 to that total. Step 3: Calculate the total price of the 3 books. Step 4: Add the tax to the price of the 3 books C. Step 1: Calculate the total price of the 3 books. Step 2: Calculate the total price of the 2 pens. Step 3: Add $2.99 to the total of the cost of the books and pens. Step 4: Add the tax to the total of the purchases. D. Step 1: Add $2.99 to the amount of the tax. Step 2: Calculate the total price of the 2 pens. Step 3: Calculate the total price of the 3 books. Step 4: Add the prices of the pens to the price of the books.
Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a function f such that f = ∇f. f(x, y) = (b) use part (a) to evaluate c f · dr along the given curve
c.
Find the function f whose gradient is equal to the vector function f, then evaluate the line integral of f along the given hyperbolic arc from (1,1) to (3,1/3). This involves calculus and the concept of vector fields.
Explanation:This problem involves calculus, specifically the concept of vector fields and line integrals. First, we are asked to find a function f(x, y) such that its gradient is equal to a given vector function f(x, y). To find this scalar function, we need to perform the integral of each component of the vector function f in terms of x and y.
Then we need to evaluate the line integral of the vector function f along a curve c, which is given as an arc of the hyperbola y = 1/x. The definite integral from point (1,1) to point (3,1/3) should be calculated. This integral represents the work done by the field f along the curve c.
Keep in mind that when you perform a line integral, you are adding up the contributions of a field (in this case, the vector field f) along a path (here, the hyperbola). Therefore, the path must be parameterized, and the limits of integration should be the parameter values that correspond to the points (1, 1) and (3, 1/3).
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Two graphs are shown below:
graph A shows scatter points 1, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5graph A shows scatter points 1, 4 and 2, 4 and 3, 4 and 4, 4 and 5, 4
Which scatter plot shows a positive correlation between x and y?
Only graph A
Only graph B
Both graph A and graph B
Neither graph A nor graph B
The correct answer is graph A
Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compound quarterly
Answer:
A = $35,198.32
Step-by-step explanation:
Use the formula to calculate compound interest:
A = P(1 + i)ⁿ
"A" for total amount after the time period
"P" for principal, or starting money
"i" for the interest rate in a compounding period
To calculate "i":
i = r / c
"n" for the number of compounding periods
To calculate "n":
n = tc
So, we can combine the formulas into:
[tex]A = P(1+\frac{r}{c})^{tc}[/tex]
"c" is the compounding periods in a year. (quarterly = 4)
We know:
P = 8000
r = 10% / 100 = 0.1
t = 15
c = 4
Substitute the information in the formula.
[tex]A = P(1+\frac{r}{c})^{tc}[/tex]
[tex]A = 8000(1+\frac{0.1}{4})^{15*4}[/tex] Solve "i" and "n"
[tex]A = 8000(1+0.025)^{60}[/tex] Solve inside the brackets
[tex]A = 8000(1.025)^{60}[/tex] Do the exponent before multiplying by 8000
A = 35198.318 Exact answer
A ≈ 35198.32 Round to two decimal places for money
Therefore she will have $35,198.32 after 15 years.
Anisha will have approximately $25,266.57 after 15 years of compound interest at a rate of 10% compounded quarterly on her initial investment of $8,000.
Explanation:Anisha invested $8,000 in an account that earns 10% interest compounded quarterly. To calculate the amount of money she will have in 15 years, we can use the formula for compound interest:
Amount = Principal * (1 + (Rate / Frequency))^(Frequency * Time)
Amount = $8,000 * (1 + (0.10 / 4))^(4 * 15)
Amount = $8,000 * (1 + 0.025)^60
Amount = $8,000 * (1.025)^60
Using a calculator, we find that the amount of money Anisha will have after 15 years is approximately $25,266.57
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In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
x^2 only touches the x axis when x=0 and it increases without bound on either side of 0.
-x^2-5 never touches the x axis reaching a maximum at (0,-5) and decreasing without bound on either side of 0
g(x) is f(x) inverted and moved down five units...