Answer:
2 of the sides are 15 inches and the other 2 sides are 68 inches
Step-by-step explanation:
2(8+4L)+2L=166
16+8L+2L=166
16+10L=166
10L=150
L=15
15(4)+8=68
A sample of 10 NCAA college basketball game scores provided the following data. Winning Team
A survey of a club's members indicates that 40% own a home, 90% own a car, and 95% of the homeowners who subscribe also own a car
What is the probability that a club member owns neither a house nor a car?
The probability that a club member owns neither a house nor a car is 0.08 or 8%.
As per the survey of a club's members-
percentage of members who own a home 40% = 0.4
percentage of members who own a car → 90% = 0.9
Further, 95% of the homeowners also own a car
⇒ percentage of members who own a car as well as a home = 95% of 40%
= 95/100 x 40/100
= 3800/10000
= 0.38
Let P(A) be the probability that a member owns a home and P(B) be the probability that a member owns a car
we have,
P(A) = 0.4
P(B) = 0.9
also P(A∩B) = 0.38
we need to find the probability that a club member owns neither a house nor a car, that is, P(A'∩B')
According to the rules of probability-
P(AUB) = P(A) + P(B) - P(ANB)
⇒ P(AUB) = 0.4 +0.9 -0.38
P(AUB) = 0.92
Thus, P(A'U B') = 1 - 0.92
= 0.08
Thus, the probability that a club member owns neither a house nor a car is 0.08 or 8%.
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In a survey of 1010 investors, it was determined that 650
invested in stocks, 595 in bonds and 340 in both stocks and
bonds.
a. How many invested in only stocks?
b. How many invested in stocks or bonds?
c. How many did not invest in either stocks or bonds?
The exchange rate for US dollars to Canadian dollars is 0.77. What is the value of $200 US dollars
[tex]\begin{array}{ccll} US\$&CA\$\\ \cline{1-2} 0.77 & 1\\ 200& c \end{array} \implies \cfrac{0.77}{200}~~=~~\cfrac{1}{c} \\\\\\ 0.77c=200\implies c=\cfrac{200}{0.77}\implies c\approx 259.74[/tex]
A group of people were asked if they had run a red light in the last year. 449 responded "yes", and 298
responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
Alguien sabe como calcular esto de binario a decimal?
11 00 11 00 = 204
nice :)
An isolated agricultural country has two distinct regions: a lowland plain and an upland of rugged hills. On one unit of land on the PLAIN, a farmer can raise 10 bushels of grain or graze 10 sheep. On one unit of land in the HILLS, a farmer can raise 2 bushels of grain or graze 4 sheep.
Determine which region has the absolute advantage for sheep production. Explain your answer.
estion 5(Multiple Choice Worth 2 points)
(Laws of Exponents with Integer Exponents LC)
Which is an equivalent expression for
•*•*
°0.0*
•*•*
°0.0*
0.0)
The equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex] (option D)
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
Given: [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is the expession.
Now, multiplying (-1) power within the brackets,
=[tex](\frac{5}{7}) ^{-2}*(\frac{1}{3} )^{3}[/tex]
If power is in negative, fraction can be reciprocated to make the power positive. So,
=[tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex]
Option D
Hence, the equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] can be written as [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex].
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what are the ordered pairs of y=3x-5
Infinitely many others are possible.
=================================================
Explanation:
Replace x with 0 and simplify to get...
y = 3x-5
y = 3(0)-5
y = 0-5
y = -5
When x = 0, it leads to y = -5
One ordered pair is (x,y) = (0, -5)
Let's repeat those steps for x = 1
y = 3x-5
y = 3(1)-5
y = 3-5
y = -2
Another ordered pair is (1, -2)
As you can see, we can pick anything we want for x to get some paired y output. There are infinitely many x values to pick from. This means there are infinitely many ordered pairs for (x,y).
When it comes to graphing, you only need two points at minimum to form a straight line.
Shirley, Benny, and Gil have a coupon for $2.00 off a large pizza. They each pay one
third of the total after the discount. If each person pays $6, how much was the total
before the discount?
Answer:
20 dollars
Step-by-step explanation:
Because there is 3 people according to where it said the amount of names there are and they each had to pay 6 dollars. 6 x 3 is 18. That is the price after discount. The coupon is 2 dollars so 18 + 2 is 20 dollars. That is the final price.
(30 POINTS) During the first year with a company, Finley was paid an annual salary of $59,000, with an 8% raise for each following year. Which equation represents Finley's annual salary, f (n), during the nth year?
f (n) = 59,000(1.08n – 1)
f (n) = 59,000(0.08n – 1)
f (n) = 59,000(1.08n)
f (n) = 59,000(0.92n)
Answer:
f(n) = 59,000(1.08m - 1)
Step-by-step explanation:
for all values of x, f(x)=x/5 +3
Answer:
f(g(x)) = 2x² + 4
Step-by-step explanation:
to evaluate f(g(x)) substitute x = g(x) into f(x) , that is
f(g(x))
= f(10x² + 5)
= [tex]\frac{10x^2+5}{5}[/tex] + 3
= [tex]\frac{10x^2}{5}[/tex] + [tex]\frac{5}{5}[/tex] + 3
= 2x² + 1 + 3
= 2x² + 4
PLS HELP!! ILL GIVE BRAINLYEST!!
The school cafeteria serves portions of fried rice that are 140 grams each.
A. If 64 portions of rice are served, how many grams of rice would that be?
B. Write an expression for the total weight in grams of rice needed for p portions.
C. One day, the total weight of rice served was 11,340 grams. How many portions were served that day?
D. Write an expression for the number of portions served if the total rice weighed t grams
Please answer all questions
A. The grams of rice served for 64 portion is 8960 grams.
B. The expression for the total weight in grams of rice needed for p portions is 140p.
C. The portion when a total weight of 11340 grams was served is 81 portion
D. The expression for the number of portions served if the total rice weighed t grams is t / 140
How to find the expression for the number of grams served?The school cafeteria serves portions of fried rice that are 140 grams each.
A.
64 portions of rice are served. The grams of rice served is as follows:
1 portion = 140 grams
64 portions = ?
cross multiply
grams of rice served = 64 × 140
grams of rice served = 8960 grams
B.
The expression for the total weight in grams of rice needed for p portions is as follows:
total weight = 140p
C.
The portion when a total weight of 11340 grams was served is as follows:
140 grams = 1 portion
11340 grams = ?
portion = 11340 / 140
portion = 81 portion
D.
The expression for the number of portions served if the total rice weighed t grams is as follows:
portion = t / 140
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Pls answer this I will mark the brainliest
A basket of fruits, which is on a top of a 1.5m high table has a GPE of 44.12. What is the mass of the basket of fruits?
Answer:
Mass of the basket of fruits ≈ 3 kg
Step-by-step explanation:
Gravitational Potential Energy is the energy stored in an object as a result of its height.
The formula is
GPE = m . g . h where m = mass, g = gravitational force (9.8 N/kg) and h = height (All measures are in metric system)
Therefore m = GPE/(g.h)
Here GPE = 44.12 and h = 1.5m
mass = 44.12 ÷ (9.8 x 1.5) = 44.12 ÷ 14.7 ≈ 3 kg
Lines I and m are parallel. Find m<3 if m<5 = 38 and m<6 = 62.
100
62
80
38
Answer: 80 degrees ==> 3rd option
Step-by-step explanation:
m<5=m<2 ==> angles 5 and 2 are opposite interior angles, so they're congruent.
m<2=38 degrees
m<2+m<6+m<3=180 degrees
38+62+m<3=180
100+m<3=180
m<3=80 degrees ==> 3rd option
4. The table represents a proportional relationship. Find the constant of proportionality and write an equation to represent the relationship. (Lesson 2-4) a 2 3 10 12 y Equation: y = W|N 2 3 1 10 3 4 Constant of proportionality:
4 and 3.14 are the constant of proportionality .
What does the arithmetic word proportional mean?
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.There is a correlation between the quantity of fuel we put in our car's tank and the price we will have to pay when we fill it up. In other words, we will pay more money the more gas we put in.2×4 = 8
2×3.14=6.28
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HELP ASAP 10 POINTSSSS
What is the value of 6m - 4n when M=4 and N=2.
MUST SHOW YOUR WORK PLEASE
Answer:
16
Step-by-step explanation:
Substitute m for 4 and n for 2
6(4)-4(2)
next multiply
6*4=24 and 4*2=8
now subtract
24-8=16
Answer:
Step-by-step explanation:16 6 times 4 =24 and 4 times 2 = 8 24 minus 8 = 16
Just confused with the remainder
Answer:
its the first one
146 r 6
hope this helped! :)
The vertex of this is at parabola is at (-1, -3). Which could be its equation?
Answer:
What are the options I can choose from?
Step-by-step explanation:
HELP PLEASE i need help 100 points and a brainiest do not just steal the points
Answer:
which answer comment back and I will answer you I am not trying to steal your points comment back
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Which expression is the completely factored form of 27x³ +y6 ?
O (3x - y²) (9x² + 3xy² + y4)
○ (3x + y²)³
O (3x + y²) (9x² - 3xy² + y¹)
O (3x + y²) (9x² + y¹)
Step-by-step explanation:
[tex]27 {x}^{3} + {y}^{6} \\ = (3x + {y}^{2} )(9 {x}^{2} - 3x {y}^{2} + {y}^{4} )[/tex]
If you want to know how it's done ask me!
Solve the equation x3 = −215???
Answer
[tex]X=-\sqrt[3]{215}[/tex]
The answer is X=-5.990726
The salary of salesman per month is Rs. 20000. He gets Rs. 30000 per month with commission, If he gets commission out of Rs. 500000 then, a. What is commission. _b. Calculate the commission rate. .c. Write the formula of commission.
(a) The total commission is Rs. 1,66,666.67.
(b) The commission rate is 33.34%.
(c) The formula for commission is commission rate * money.
The salary of the salesman is Rs. 20,000 per month.Let the commission of the salesman per month be "x".The total amount earned, including the commission, by the salesman per month is Rs. 30,000.The commission for the salesman per month is total money minus the base salary of the salesman.The commission of the salesman per month is Rs. 30,000 - Rs. 20,000.The commission of the salesman per month is Rs. 10,000.The commission rate is the amount of commission divided by the total amount earned.The commission rate is (10,000/30,000)*100%.The commission rate is (1/3)*100%.The commission rate is 33.34%.The total amount is Rs. 5,00,000.The total commission the salesman gets is the product of his commission rate and the total amount of money he gets.The total commission is 33.34% * Rs. 5,00,000.The total commission is Rs. 1,66,666.67.The formula for commission is commission rate * money.To learn more about commission, visit :
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Judith has just become eligible to participate in her company’s retirement plan. Her company does not match contributions, but the plan does average an annual return of 12%. Judith is 40 and plans to work to age 65. If she contributes $200 per month, how much will she have in her retirement plan at retirement?
Answer:
She will have $375,769.33 in her retirement plan at the time of retirement.
Explanation:
The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return or discount rate.The higher the discount rate, the greater the annuity's future value.According to the question,
Periodic Payments(P) = $200
Rate of Return(r) = 12%(annual)
[tex]=\frac{12}{12}%[/tex]
= 1% monthly
= 0.01
Number of payments(n) = 65 - 40
= 25(annual)
= 25 × 12 monthly
= 300 monthly
Future value =?
The formula for calculating future value is:
Future Value = [tex]P[\frac{(1+i)^{n}-1 }{i}][/tex]
= [tex]200[\frac{(1+0.01)^{300}-1 }{0.01}][/tex]
= [tex]200[\frac{19.7884663-1}{0.01}][/tex]
= 200[1878.84663]
= 375,769.326
= 375,769.33
Final Answer:
Therefore, the future value of her retirement when she retires is
$ 375,769.33 .
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2. Which expression is not equal to the
number 0?
5-5
-7+7
6-(-6)
-8- (-8)
A line has a slope of 1/6 and passes through the point (-9, -8). What is its equation in point- slope form?
Answer:
y+8=1/6(x+9)
Step-by-step explanation:
point slope: y - y1 = m ( x - x1 )
use the point and the slope and plug in the values in the point slope equation
let P(A)=0.65, P(B)=0.30, and P(AIB)=0.45
a. calculate P(AnB).
b. calculate P(AUB).
c. calculate P(BA)>
The probability will be:
a. P(AnB) = 0.195
b. P(AUB). = 0.95
c. P(BA) = 0.65
How to calculate the probability?P(A)=0.65
P(B)=0.30
P(AIB)=0.45
The probability of the values based on the information will be:
1. P(AnB)
= 0.65 × 0.30
= 0.195
2. P(AUB)
= 0.65 + 0.30
= 0.95
3. P(BA)
= P(AnB) / P(B)
= 0.195 / 0.30
= 0.65.
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The puppy shelter where Isaac works is moving to a new building. The rooms in the new building are built to hold 6 puppies each. Isaac needs to figure out how many rooms he'll need to house a total of 78 puppies.
Use an equation to find the number of rooms Isaac needs.
The equation to find the number of rooms Isaac needs is r = 13.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
1 room holds = 6 puppies
So, 1 puppy acquire = 1/6 room
Let r be the rooms need to house a total of 78 puppies.
Therefore, 78 puppy acquire, r = 78*1/6 room
⇒ r = 78/6 room
⇒ r = 13 room
Thus, the equation to find the number of rooms Isaac needs to house a total of 78 puppies is r = 13.
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Estimate 219÷15 by first rounding each number so that it has only 1 nonzero digit.
The estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
We are given the expression:
219 ÷ 15
We need to estimate the result by first rounding off the digits to nearest tens and then performing division to get the answer.
So, we will first do the round off.
219 will be rounded off to 220
15 will be rounded off to 20
So, the expression will become:
220 ÷ 20
So, now performing the division, we get that:
= 11
Therefore, the estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
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Select all the correct answers.
Which three pairs of side lengths are possible measurements for the triangle?
45°
B
45°
BC = 10, AC=10√/2
AB= 9, AC = 18
OBC:
= 10√3, AC = 20
AB = 9√2, AC
AB= 7, BC = 7√3
AB
= 18
= 14, BC = 14
Answer:
1 , 4 , and 6
Step-by-step explanation:
so , in a 45 45 90 triangle , the lines that are the same length are x . the hypotenuse ( the long diagonal line ) is gonna be [tex]x\sqrt{2}[/tex] . so using that i got the answers . :)
The three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4). So, First option, Option 5. and Option 6 are correct answers.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
here, we have,
The formula for a 30-60-90 triangle is this:
1) Side opposite to 30 will be value a.
2) Side opposite to 60 will be value a√3
3) Hypotenuse will be 2a.
AB is opposite of the angle with 30 degree measurement.
BC is opposite of the angle with 60 degree measurement.
The sides of an isosceles right triangle are in the ratio,
1:1:√2
where √2 is the hypotenuse.
For the example, BC = 2√2, then AC = 2√2 x √2 = 4.
Therefore, the three pairs are;
1. (AB = 6, BC = 6)
5. (AB = 4, AC = 4√2)
6.(BC = 2√2, AC = 4).
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