Answer:
a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5
Step-by-step explanation:
3x + 5y = 4
5y = -3x + 4
y = -3/5x + 4/5
How do you determine if a function is even, odd, or neither
Answer:
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.
Step-by-step explanation:
On a large college campus, the students are able to get free copies of the school newspaper,the local newspaper, and a national paper. Ninety percent of the students read at least one of thepapers, 40% read only the school newspaper, 20% read only the local paper, 5% read only thenational paper, and 2% read all three papers. Fifty percent read the school newspaper, and 5%read the school and national newspapers. A randomly selected student is asked whether he orshe reads the school, local, or national paper. Express each of the following events in setnotation and find the percentage of students represented by each.a The student does not read any paper.b. The student reads the local paper.c. The student reads exactly two papers.d. The student reads at least two papers.
Answer:
a) The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper is 40%
c) the percentage that the student reads exactly two papers is 23%
d) the percentage that the student reads at least two papers is 25%
Step-by-step explanation:
Given the data in the question;
as illustrated in the Venn diagram below,
a)The student does not read any paper;
The percentage that the student does not read any paper will be;
100% - 90% = 10%
Therefore, The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper;
from the Venn diagram below;
⇒ ( 20 + 15 + 3 + 2 )%
= 40%
Therefore, The percentage that the student reads the local paper is 40%
c) The percentage that the student reads exactly two papers
⇒ ( 15 + 5 + 3 )%
= 23%
Therefore, the percentage that the student reads exactly two papers is 23%
d) The percentage that the student reads at least two papers;
⇒( 15 + 5 + 3 + 2 )%
= 25%
Therefore, the percentage that the student reads at least two papers is 25%
Marks car get 32 mpg. He is planning a road trip from Miami to Atlanta. he plans to drive 200 miles. the first day and 480 the next. How many more gallons will he use the second day compared to the first.
Answer:8.75 gallons
Step-by-step explanation:
well first his car drives 32 mpg, so with this info you divide 200 by 32.Which is 6.25 gallons.Then do the same with 480,480 divided by 32 which is 15 gallons.subtract it 15-6.25 which is 8.75.8.75 more gallons is the answer.
hello i am not that good at math and i struggle with fractions
problem: “divide 2/8 by 9/18. Input your answer as a reduced fraction”
how do i do that?? how do i divide fractions and reduce them?
Answer:
the answer is 1/2 or 0.5
Step-by-step explanation:
So basically you just get on a calculator and divide it after you do that it will give you a decimal and all you have to do is convert that decimal to a fractiom so we know that 0.5 is a half so therefore 0.5=1/4
Find the length of x.
a. 33.8
b. 48.3
c. 84.3
d. 72.0
SOLVE: 3x+4y = 18 and -2x+4y = 8
Answer:
1, if solved for x = 6 - 4y/3 & y = 9/2 - 3x/4
2, x = -4 + 2y & y = 2 + x/2
Step-by-step explanation:
Lavilla is a famous resort in Italy. All of its rooms are always booked in the winter season. On average, 2800 skiers come to the resort every week (7 days). On average, skiers stay in Lavilla for 4 days. Each skier spends $40 daily in local restaurants. Question 1 (1 point) The average number of skiers in Lavilla is: _____________ [skiers].
Answer:
The average number of skiers in Lavilla are 1,600 skiers
Step-by-step explanation:
The number of skiers that come to Lavilla on average each week = 2,800 skiers
The number of days each skier stays in Lavilla = 4 days
The amount each skier spends in local restaurants daily = $40
According to Little's Law, we have;
L = λ·W
Where;
L = The average number of skiers in Lavilla
λ = The effective arrival rate of the skiers = 2,800 skiers per week arrive
W = The number of days each skier stays at Lavilla = 4 days = 4/7 week
The average number of skiers in Lavilla, 'L', is therefore, given as follows;
L = 2,800 skiers/weel × (4/7) week = 1,600 skiers
The average number of skiers in Lavilla, L = 1,600 skiers
4/5×5/6 can you help me
Answer:
2/3
Step-by-step explanation:
4/5*5/6 =2/3
please mark
Answer:
2/3
(Decimal Form : 0.6)
Step-by-step explanation:
for which set of problilities would events a and b be independent
Answer:
Events A and B are independent if and only if P(A and B) = P(A)P(B). If you know these probabilities, you can check to see if this holds.
Step-by-step explanation:
:)
Gabrielle's age is three times Mikhail's age. The sum of their ages is 84. What is Mikhail's age?
Answer: 21
Step-by-step explanation:
84 divided by 4 = 21 since grabielle is 21, and then mikhail is gonna be 3 times more so it’s gonna be 63
Answer:
Mikhail=21
Gabrielle=63
Step-by-step explanation:
G=3M
G+M=84
G=84-M
3M=84-M
4M=84
M=21
G=63
7. A car dealership has 8 red, 9 silver, and 5 black cars on the lot. Seven cars are randomly chosen to be displayed(in no particular order) in front of the dealership. Find the probability that (a) all are silver (b) 5 are red and 2 are black (c) 4 are red and the rest are silver
Answer:
a) 0.0002 = 0.02% probability that all are silver.
b) 0.0033 = 0.33% probability that 5 are red and 2 are black
c) 0.0345 = 3.45% probability that 4 are red and the rest are silver
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the cars were selected is not important, so we use the combinations formula.
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]
(a) all are silver
Desired outcomes:
7 silver cars, from a set of 9. So
[tex]D = C_{9,7} = \frac{9!}{7!(9-7)!} = 36[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{36}{170544} = 0.0002[/tex]
0.0002 = 0.02% probability that all are silver.
(b) 5 are red and 2 are black
Desired outcomes:
5 red, from a set of 8
2 black, from a set of 5
[tex]D = C_{8,5}*C_{5,2} = \frac{8!}{5!(8-5)!}*\frac{5!}{2!(5-2)!} = 56*10 = 560[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{560}{170544} = 0.0033[/tex]
0.0033 = 0.33% probability that 5 are red and 2 are black
c) 4 are red and the rest are silver
Desired outcomes:
4 red, from a set of 8
3 silver, from a set of 9
[tex]D = C_{8,4}*C_{9,3} = \frac{8!}{4!(8-4)!}*\frac{9!}{3!(9-3)!} = 70*84 = 5880[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{5880}{170544} = 0.0345[/tex]
0.0345 = 3.45% probability that 4 are red and the rest are silver
plz help look at the image for the question
A company rents out 19 food booths and 26 game booths at the county fair. The fee for a food booth is
$175 plus $5 per day. The fee fora game booth is $50 plus $6 per day. The fair lasts ford days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the
company is paid.
The expression is
need help asap
Answer:$4669
Step-by-step explanation:
175x19=3325+5(4)=3345
1300+6(4)=1324
4x + 6°
6x - 100
7x + 14°
9514 1404 393
Answer:
x = 10°; angles are 50°, 46°, 84° (CW from left)
Step-by-step explanation:
The sum of the three angles is 180°, so ...
(6x +10°) +(4x +6°) +(7x +14°) = 180°
17x +10° = 180°
17x = 170°
x = 10°
__
Then the angles are ...
6x -10° = 6·10° -10° = 50°
4x +6° - 4·10° +6° = 46°
7x +14° = 7·10° +14° = 84°
convert the following equation into standard form Y equals negative 7X over 8 +4
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Answer:
7x +8y = 32
Step-by-step explanation:
Clear fractions and add the opposite of the x-term.
y = -7x/8 +4
8y = -7x +32 . . . . . multiply by 8
7x +8y = 32 . . . . . .add 7x
guys u realy need help on this pls
Answer:
x>9
Step-by-step explanation:
[tex]7-\frac{2}{3} x[/tex]<x-8
21-2x<3x-24
5x>45
x>9
16^5/4 times 16^1/4/(16^1/2)^2
Answer:
4
Step-by-step explanation:
its four trust me
Answer:
4
Step-by-step explanation:
:)
Find Principal when Time = 5 years, Interest - $ 500; Rate = 5%
Answer:
P = $2,000
Step-by-step explanation:
Interest = Principal x Rate x Time
500 = P(.05)(5)
500 = .25P
P = 500/.25
P = 2000
defined so that it produces the greatest integer or equal to x f(x) = [(x)]
how much would 11 trillion divided equally amongst 300 million people be? Time sensitive question
Answer:
36666.6666667
Step-by-step explanation:
Cant really be equal
Simplify (0.24) × (-0.15)
Answer:
0.036
Step-by-step explanation:
Answer:
0.24 x 0.15 = 0.036
Step-by-step explanation:
First ignore the decimal points so you have 24*15 = 360.
You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.
who wants a slushie ?
Answer:
i want a slushie what's your favorite slushie flavor
ANSWER FAST!
The table shows the linear relationship between the number of right tickets purchased and the total cost of admission plus ride tickets at a carnival. which function can be used to find y, The total cost of attending the carnival in purchasing x ride tickets?
A. Y= 25x +8
B. Y= 8x + 25
C. Y= 8x+ 0.25
D. Y= 0.25x + 8
Answer:
c
Step-by-step explanation:
Tom has a collection of 13 snakes, 4 of which are purple and 5 of which are happy. He observes that
all of his happy snakes can add,
none of his purple snakes can subtract, and
all of his snakes that can't subtract also can't add.
Which of these conclusions can be drawn about Tom's snakes?
A)Purple snakes can add.
B) Purple snakes are happy.
C) Snakes that can add are purple.
D) Happy snakes are not purple.
E) Happy snakes can't subtract.
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Answer:
D) Happy snakes are not purple
Step-by-step explanation:
The first statement tells us all happy snakes can add.
The second statement tells us that all purple snakes can't subtract, and the third statement tells us that purple snakes also cannot add.
Therefore, we must conclude that happy snakes are not purple.
A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 272 students is xbar= 141 minutes, with a sample standard deviation of 66.
Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.
What is the standard error of the sample mean?
Consider the hypotheses H0: µ = 150 against Ha: µ < 150.
What is the value of the test statistic? Give your answer to two decimal places.
The p-value for the correct test statistic is 0.0126. What do you conclude at the a = 0.05 level?
We do not have enough evidence to say that students are not studying 2.5 hours per night during the school week.
We have strong evidence that, on average, students study less than 2.5 hours per night during the school week.
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
A cone has a radius of 24 cm and a volume of 1920 cm3. What is the volume of a similar cone with a radius of 18 cm?
Answer:
just divide 18 by 1920 duh
Step-by-step explanation:
Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.
The scale factor from Drawing 1 to Drawing 2 is _________%
Answer:
40%
Step-by-step explanation:
Answer:
45%???????????
Step-by-step explanation:
Brad paid $7.00 for books and $0.99
for pencils. How much did he spend?
A $10.60
B $1.06
$79.90
$7.99
Answer:
7.99 or D
Step-by-step explanation:
It is simple addition.
Evaluate 4t - 5, when t = 2
Answer:
3
Step-by-step explanation:
t= 2
4t-5
4(2)-5
8-5
3
hope it's helpful ❤❤❤❤
THANK YOU.
#
❤
Answer:
3
Step-by-step explanation:
plug in 2 to the equation in parenthesis,
4(2) - 5
8 - 5
= 3
Evaluate the expression x + 8/27. Evaluate the expression for x=8/9
Answer: 32/27
Step-by-step explanation:
x = 8/9
x + 8 /27
[tex]\frac{8}{9} + \frac{8}{27} \\\\\frac{8}{9} * 3 = \frac{24}{27}\\\\\frac{24}{27} + \frac{8}{27}\\\\\frac{24 + 8}{27} \\\\\frac{32}{27}[/tex]
Answer:
Substitute the value of the variable into the equation and simplify.
Exact Form:
32 /27
Step-by-step explanation: