Answer: 1260
Step-by-step explanation:
In a fraternity with 37 members, 18 take mathematics, 5 take both mathematics and art history, and 8 take neither mathematics nor art history. How many take art history but not mathematics?
Answer:
Fraternity of 32 members with 8 taking neither math or physics
Of the 24, 5 took both. 24 - 5 = 19 taking one. 18 taking just Math.
Just 1 took only Physics.
Step-by-step explanation:
What is the quotient of d-2 / d4-6d3+d+17=
A. d3− 4d2 + 9d + 35 B. d3− 8d2 + 17d –17 C. d3− 8d2 + 16d − 31 R 79 D. d3– 4d2– 8d –15 R–13
Answer:
Step-by-step explanation:
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The shortest side of a right triangle measures 11m. The lengths of the other two sides are consecutive integers. Find the lengths of the other two sides.
What is the least possible sum of 24
sales price is 67.50 sales tax is 5% how much is the total amount paid
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the new computer?
A) 111 hours
B) 89 hours
C) 98 hours
D) 87 hours
First calculate all the deduction
FICA = $10 per hour x 0.0765 = $0.77 per hr
Fed tax = $10 per hr x 0.12 = $1.2 per hr
State tax = $10 per hr x 0.08 = $0.8 per hr
Remaining pay = 10 – 0.77 – 1.2 – 0.8 = $7.23 per hour
Time required = $640 / $7.23 per hr
Time required = 89 hrs
After calculating deductions from the gross wage of $10.00, the net income per hour is $7.235. To buy the new computer for $800, we divide the cost by the net wage, resulting in approximately 110.58 hours. Therefore, the student would need to work about 111 hours to afford it.
To calculate the number of hours needed to work to pay for the new computer, we must first determine the net income per hour after all the deductions. With a gross wage of $10.00 per hour, the deductions would be:
FICA: 7.65% of $10.00 = $0.765Federal Tax: 12% of $10.00 = $1.20State Tax: 8% of $10.00 = $0.80This totals $2.765 in deductions per hour. Subtracting this from the gross wage gives a net income per hour:
$10.00 - $2.765 = $7.235.
To afford the new computer costing $800, we divide the cost of the computer by the net income per hour to find the total number of hours needed:
$800.00 / $7.235 ≈ 110.58 hours.
Since we cannot work a fraction of an hour, we will need to round up to the nearest whole number, which suggests that the student would need to work approximately 111 hours to afford the new computer.
F(x, y, z) = xe^(5yz) find the gradient of f
A certain recipe calls for 2 3/4 cups of sugar.if the recipe is to be doubled, how much sugar should be used
:what does this problem solve as
1/2(4x−5)+52=10
Please help me on 3 and 4 please thanks ❤️
on monday your bank account was balanced -$12.58 because you didn't realize this, you wrote a check for -$30.72 for groceries what is the new balance in your checking account?
The new balance after I bought groceries worth of 30.72 dollars is -43.3 dollars.
What are he types of sign distributions?Sign distributions are of four types they are:- negative distributed to negative results in positive and positive distributed positive results to positive. Negative distributed to positive or vice versa results in negative.
According to the given question on Monday I had -12.58 dollars.
I bought some groceries worth -30.72 dollars which will also be deducted from my bank account.
∴ The final balance I have is ( -12.58 - 30.72) dollars which is,
= -43.3 dollars.
learn more about sign distributions here :
https://brainly.com/question/28608950
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Atif has a z score of 1.02 from a converted iq score. from a z table, the percentage between his score and the mean is 34.61%. what percent of people have iqs at or lower than atif's score?
Solve the system
4x+2y=7 y=5x
A. (1,5)
B. (3,15)
C. (2,10)
D. (0.5,2.5)
How many grams are in 1.40 moles of sodium chloride (NaCl)?
The molar mass of NaCl is 58.44 g / mol. So we can calculate the mass by simply multiplying the number of moles and molar mass. That is:
mass = 1.40 moles * 58.44 g / mol
mass = 81.82 grams
Final answer:
To find the mass in grams of 1.40 moles of sodium chloride, multiply the number of moles by the molar mass of NaCl, which is 58.44 g/mol, resulting in 81.816 grams.
Explanation:
To calculate the mass of 1.40 moles of sodium chloride (NaCl), we will use the molar mass of NaCl as a conversion factor. The molar mass of NaCl is 58.44 grams per mole. Here's how you can do the conversion:
Find the molar mass of NaCl: 22.99 g/mol (Na) + 35.45 g/mol (Cl) = 58.44 g/mol (NaCl).
Multiply the number of moles of NaCl by the molar mass to get the mass in grams: 1.40 moles × 58.44 g/mol = 81.816 grams of NaCl.
So, 1.40 moles of sodium chloride weigh 81.816 grams.
Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
13.8 miles per hour x 3 hours = 41.4 miles ( what he already rode)
48 - 41.4 = 6.6 more miles to go
Each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. for a family with four children, let x = the number of children who are girls.
I believe this problem has 3 questions:
a. Explain why the three conditions are satisfied for X to have the binomial distribution.
b. Identify n and p for the binomial distribution.
c. Find the probability that the family has two girls and two boys.
Answers:
a. First because there are only 2 possible outcomes for
each birth: male or female. Hence a binomial distribution.
Second, because the probability of giving out a girl is
constant: 0.49 for each birth.
Third, the probability of a giving out a girl does not depend
on whether or not there is already a boy or a girl in the family.
b. The n is the total number of children, so n = 4
While the p is the success of being a girls, so P = 0.49
c. We use the binomial probability equation:
P (X) = nCx * p^x * q^(n-x)
P(X=2) = 4!/(2!2!) * 0.49^2 * 0.51^2 = 0.3747
Final answer:
Inheritance of sex chromosomes in babies is determined by the father, leading to a 50:50 chance of a male or female child. The likelihood of a newborn being female is around 0.49.
Explanation:
Sex Inheritance: The sex of a baby is determined by the father, who has a 50 percent chance of passing on a Y chromosome resulting in a male child. If the baby inherits two X chromosomes, it will be female. This 50:50 chance applies to each baby. For a family with four children, let x = the number of girls, the probability of a child being female is approximately 0.49.
Which group of 3 cards would allow Carlos to win with 21 points?
A. 6 of clubs, 7 of spades, 8 of diamonds
B. Ace of hearts, Ace of diamonds, 10 of hearts
C. Jack of clubs, 7 of clubs, 4 of spades
D. 8 of clubs, 9 of hearts, 9 of spades
Solve for x.
5x - 1 = 26
x = 27/5
x = 5
x = -5
If an item is 1/3 off, to calculate the final price simply divide the original price by 3.
true or false
(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t<00≤t<11≤t<7t≥7;f(t)={0,t<0−5,0≤t<1−6,1≤t<76,t≥7; 1. write the function in terms of unit step function
Final answer:
The function f(t) can be represented in terms of the unit step function as f(t) = -5u(t) - u(t-1) + 6u(t-7), with each term turning on at specific breakpoints.
Explanation:
To write the function f(t) in terms of the unit step function, you can think of f(t) as a piecewise function that changes values at various breakpoints. The unit step function, denoted as u(t), is defined to be 0 when t < 0 and 1 when t ≥ 0. For the given function f(t), we can write it using the unit step function as follows:
f(t) = -5u(t) -u(t-1) + 6u(t-7)
This representation uses the properties of the unit step function to 'turn on' different function values at specified points. Each term corresponds to a segment of the piecewise function, with the coefficients representing the value of f(t) within each segment.
A condo in Culver City, California, listed for $1.4 million with 20% down and financing at 5% for 30 years. What's the monthly payment?
Answer:
Step-by-step explanation:
$6,014.40
Lucy is thinking of a number.The number is greater than two hundred twenty- five. her number is less than 2 hundred 2 tens 7 ones. what is lucy's number?
how many factors are in the expression x(1+y)^z
a. 3
b.2
c.0
d.1
There are two factors: ( x ) and (1+y). So option (b) is correct.
To find the factors in the expression ( x(1+y)^z ), we break it down into its components.
1. ( x ) - This is a factor because it's multiplied by the rest of the expression.
2. (1+y) - This is also a factor because it's part of the expression being raised to the power of \( z \).
3. ( z ) - The exponent does not affect the number of factors, as it's simply the power to which the expression is raised.
So, there are two factors: ( x ) and (1+y).
Detailed calculation:
( x ) is multiplied by the entire expression, so it's a factor.
(1+y) is a factor because it's part of the expression.
( z ) is an exponent and doesn't count as a separate factor.
Thus, the answer is (b) 2.
Find equations for the horizontal and vertical tangent lines to the curves
Over a 12 hour period from 8 pm to 8 am the tempeture fell a steady rate 8°F to 16°F if the temperature fell at the same rate every hour what was the temperature at 4 am
50 POINTS!!!
Suzanne ran 3 3/4 miles in the morning and 4 1/2 miles in the afternoon. How many kilometers did she run altogether? Assume 1 mile = 1.6 kilometers.
Answer:- Total distance traveled by Suzanne in kilometers=13.2 kilometers.
Explanation:-
Distance traveled by Suzanne in the morning=[tex]3\frac{3}{4}\text{ miles}[/tex]
Distance traveled by Suzanne in the evening=[tex]4\frac{1}{2}\text{ miles}[/tex]
Total distance traveled by Suzanne=[tex][3\frac{3}{4}+4\frac{1}{2}\text{ miles}[/tex]
[tex]=\frac{15}{4}+\frac{9}{2}\text{ miles}[/tex]
[tex]=\frac{15+18}{4}\text{ miles}[/tex]
[tex]=\frac{33}{4}\text{ miles}[/tex]
[tex]=8.25\text{ miles}[/tex]
Total distance traveled by Suzanne in kilometers=[tex]8.25\times1.6\text{ kilometers}=13.2\text{ kilometers}[/tex]
Total distance traveled by Suzanne in kilometers[tex]=13.2\text{ kilometers}[/tex]
A laptop has a listed price of 715.95 before tax. If the sale tax rat is 9.25%, find the cost of the laptop with the sales tax included. Round your answer to the nearest cent, as necessary.
the temperature of a pot of water is shown. the temperature of the water changed -2.5 degree F per minute. What was the temperature after 20 minutes?
Find f. f '''(x) = cos(x), f(0) = 4, f '(0) = 2, f ''(0) = 6
At a pet store, Davina counted 12 parrots out of 20 birds. What is an equivalent ratio of parrots to birds in the pet store?