the area of one of the smaller circles is 8 pi in2. find the area of the shaded region
the answer is D. 16 pi
Answer:
D.
Step-by-step explanation:
Which one f the following would appear in the credits column of a bank statement for a checking account?
A. Bank fees
B. An ATM withdrawal
C. An online bill payment
D. A direct deposit
The direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.
What is direct deposit?A direct deposit by a payer into a payee's bank account is referred to as a direct deposit. Businesses most usually use direct deposits to pay salaries and wages, and they are typically made through electronic funds transfers or physical deposits into a payee's bank account.
From the definition, the direct deposit is the amount which is deposited by the individual bank accounts.
A direct deposit would appear in the credit's column of a bank statement for a checking account.
Thus, the direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.
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Answer: A direct deposit
Step-by-step explanation:
In isosceles ∆ABC the segment BD (with D ∈ AC) is the median to the baseAC. Find BD, if the perimeter of ∆ABC is 50m, and the perimeter of ∆ABD is 40m.
Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
howdy!!
yr answer is
A. {–7, 1} !!!
The figure in the picture is made up of 5 congruent squares. If the perimeter of the entire figure is 21.6 cm, find its area.
A supplier offers a discount on a product bought in bulk. If you buy 240 parts, you get a $5 discount on each part, which reduces the cost to the same as buying 200 parts at full price. How much is each part?
PLEASE HELP ME ASAP!!!
1. The average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents. What is the z-score of glass cleaner with a cost of 10.1 cents per ounce?
A. 0.96
B. 1.31
C. 1.94
D. 4.04
E. none of the above
2. A candy bar takes an average of 3.4 hours to move through an assembly line. If the standard deviation is 0.5 hours, what is the probability that the candy bar will take between 3 and 4 hours to move through the line?
A. .2119
B. .2295
C. .6731
D. .3270
E. .8849
3. The average noise level in a diner is 30 decibels with a standard deviation of decibels. 99% of the time, the noise level is below what value?
A. 16.04
B. 30.00
C. 36.00
D. 43.96
E. 48.00
4. The mean income per household in a certain state is $29,500 with a standard deviation of $5,750. The middle 95% of incomes is between what two values? The incomes are normally distributed.
A. $23, 750 and $35,250
B. $18,000 and $41,000
C. $29,500 and $41,000
D. $12,250 and $46,750
E. $12,325 and $81,550
Final answer:
The student's questions involve calculating z-scores and applying knowledge of normal distributions to determine probabilities and percentile ranges within a set of data. Correct answers include finding the z-score for glass cleaner costs, determining the probability of assembly line time for a candy bar, identifying the noise level not exceeded 99% of the time in a diner, and calculating the income range for the middle 95% in a state.
Explanation:
To solve these problems related to standard normal distribution and probabilities, we'll follow a step-by-step process. For each question, you'll either need to calculate a z-score or apply knowledge of normal distributions.
The z-score for a glass cleaner costing 10.1 cents per ounce when the mean cost is 7.7 cents and the standard deviation is 2.5 cents is calculated as: z = (10.1 - 7.7) / 2.5 = 0.96. The correct answer is A.The probability of a candy bar taking between 3 and 4 hours through the assembly line involves finding the area under the normal curve between these two z-scores: z for 3 hours and z for 4 hours. Use z-tables or calculators to find P(3 < X < 4) = P(Z < (4 - 3.4) / 0.5) - P(Z < (3 - 3.4) / 0.5) which gives us C. 0.6731.To find the noise level that is not exceeded 99% of the time, use the z-score that corresponds to 99% in the standard normal distribution and multiply by the standard deviation and add to the mean. This gives us 43.96 decibels, with D being the correct answer.The middle 95% of normally distributed incomes is found using z-scores that correspond to the 2.5th percentile and 97.5th percentile because 95% is in between. The correct answer is A. $18,000 and $41,000.If a bag contains 16 red,6 yellow, 24 blue, and 8 white ballons, what is the part-to-whole ratio of yellow ballons to all ballons
Which of the following is equivalent to 30p^4q^3r + 42p^2r - 18p^2q^2r when it is completely factored?
A. 3pr(10p^3q^3 + 12p - 9pq^2)
B. 6(5p^4q^3r + 7p^2r - 3p^2q^2r)
C. 6p^2q^2r(5p^2q + 4)
D. 6p^2r(5p^2q^3 + 7 - 3q^2)
how do you solve this 2 step equation: 9+9n=9
The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?
The Smith family drove 1580 miles during their seven-day vacation in the rented recreational vehicle, calculated by subtracting the flat rental fee from the total cost, and then dividing by the cost per mile.
Explanation:This question centers on simple algebra. To calculate the number of miles driven, you need to first understand that the total cost consists of a flat rental fee and the cost per mile driven. First, we take the total cost, $1350, and subtract the flat fee of $560 from it. This leaves us with $790.
We then divide that $790 by the price per mile, which is $0.50. The calculation would then be as follows: $790 ÷ $0.50 = 1580 miles. Therefore, the Smith family drove 1580 miles during their seven-day vacation in the recreational vehicle.
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Megan is starting a business selling cookies. She researched other businesses to determine the price that people are willing to pay for a dozen cookies her results can be represented by the equation n=-2p+16 where P is the price per dozen cookies and N is the number of dozens sold where does the graph of the equation cross the x-axis?
A 6 pound bag of grass seed covers 2,000 square feet. How many pounds would be needed to cover 25,000 square feet? Round the answer to the nearest pound.
How many 10 are in 64785
Triangle DEF is formed by the three squares P, Q, and R:
A right triangle DEF is shown. On the side DE of this triangle is a square. Inside the square is written Square P, and below it and inside the square is written Area equal to 64 square units. On the side EF of this triangle is another square. Inside the square is written Square Q, and below it and inside the square is written Area equal to 225 square units. On the side DF of this triangle is another square. Inside the square is written Square R, and below it and inside the square is written Area equal to 289 square units.
Which statement best explains the relationship between the sides of triangle DEF?
DE + EF = DF, because 64 + 225 = 289
(DE)2 + (EF)2 = (DF)2, because 172 + 82 = 152
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
DE + EF = DF because, 172 + 82 = 152
using the Pythagorean Theorem
a^2 + b^2 = C^2
so correct answer is:
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
Answer:
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
Step-by-step explanation:
Which function below is the inverse of f(x) = the quantity of two x plus three, over five.?f−1(x) = the quantity of five x plus three, over twof−1(x) = the quantity of five x minus three, over twof−1(x) = five over the quantity of two x plus threef−1(x) = five over the quantity of three minus two x?
Answer:
[tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
f⁻¹(x) = the quantity of five x minus three, over two
C is correct
Step-by-step explanation:
Given: [tex]f(x)=\dfrac{2x+3}{5}[/tex]
We need to find inverse of function f(x)
Step 1: Set f(x)=y
[tex]y=\dfrac{2x+3}{5}[/tex]
Step 2: Switch x and y
[tex]x=\dfrac{2y+3}{5}[/tex]
Step 3: Solve for y (isolate y)
[tex]5x=2y+3[/tex]
[tex]2y=5x-3[/tex]
[tex]y=\dfrac{5x-3}{2}[/tex]
Therefore, [tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
Now we write as sentence form,
Inverse of f(x) is 5 times of x minus 3 over 2.
Hence, f⁻¹(x) = the quantity of five x minus three, over two
A shop advertised a 27% off sale. If a coat originally sold for 253 , find the decrease in price and the sale price
Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?
A. R=3 (s+t)
B. R=5s
C. R=5t
D.R=3(s+2r)
Answer:the answer is C
Step-by-step explanation:
How long is the arc subtended by an angle of 9π/5 radians on a circle of radius 30 cm?
A) 9π
B) 27π
C) 54π
D) 108π
Answer:
54π
Step-by-step explanation:
54π is correct. (9π/5)(30)= 54π
The required length of an arc is 54π cm which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
To find the arc length, we first need to find the circumference of the circle. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Plugging in the values given in the problem, we find that the circumference of the circle is C = 2π(30 cm) = 60π cm.
Then, to find the arc length, we need to find the fraction of the circumference subtended by the angle of 9π/5 radians.
The circumference of the circle is 2π radians, so the fraction of the circumference subtended by the angle of 9π/5 radians is (9π/5)/(2π) = 9/10.
Multiplying the fraction of the circumference subtended by the angle by the circumference of the circle, we find that the arc length is (9/10)(60π cm) = 54π cm.
Therefore, the correct answer is (C) 54π cm.
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9 more than the quotient of negative 36 and negative 4
The typical flight of stairs has 12 steps. Billy is on a new fitness regimen that requires him to climb at least 300 steps each day. His fitness tracker says he has already climbed 175 steps.
Let n represent the number of flights of stairs Billy has yet to climb.
Create the inequality that symbolizes this situation.
Then answer this.
If Billy climbs 10 more flights of stairs, will he meet his required 300 steps?
The diameter of a circle is 18 centimeters. what is the radius? d=18 cm give the exact answer in simplest form.
The perimeter of triangle ABC is 54. The triangle has side lengths AB=3x, BC=4x, and AC= 5x. Find the length of each side.
What is the coefficient in the expression 3x/13+4 ?
Enter your answer in the box.
If a student scores a 17/35 on a test, what is their percentage on it?
Lannie order 12 copies of the same book for his book club members to build cost $19 each and the order has a $15 shipping charge what is the total cost of lannie's order
How many 3-digit numbers can you write using only the digits 1 and 2?
The equation of line p is y = 52x + 72. line q is parallel to line p. the slope of line q is?
A wooden board is leaning against a house. the base of the board is 10 ft from the base of the house and the base of the board forms a 35 degree angle with the ground
so what is the length of the wooden board?
Please be a good person and help me..I really need to get this right to boost my grade in math ((and boy do I need it!!))
Use the graph shown to fill in the blank.
When x = 1, then y = a0.