Answer:
X^2+5x-50
Step-by-step explanation:
X^2-5x+10x-50
Answer:
X² - 5x + 10x - 50
Step-by-step explanation:
Use the FOIL method!
Part D
If Tristan attaches a 4-kilogram weight to the spring, how far will it stretch?
Answer:
x = 4 into the equation y = 3x, or locate the answer on the graph: y = 3x = 3(4) = 12.
The spring stretches 12 inches with a 4-kilogram weight attached to it.
Step-by-step explanation: so its 12
Substitute x = 4 into the equation y = 3x, or locate the answer on the graph: y = 3x = 3(4) = 12.
The spring stretches 12 inches with a 4-kilogram weight attached to it.
The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per for unleaded gasoline. Josh is comparing the cost of having his car wash plus filling up his tank with gas at each business. How many gallons of gas would he need to purchase for the cost to be the same at each car wash?
Answer:
The indifference point is 20 gallons.
Step-by-step explanation:
Giving the following information:
Quik-Clean Car Wash:
$15 for a car wash plus $2.50 per gallon for unleaded gasoline.
Mighty Clean Car Wash:
$10 for a carwash plus $2.75 per for unleaded gasoline.
First, we need to structure the total cost formula:
Quik-Clean= 15 + 2.5x
Mighty Clean= 10 + 2.75x
x= gallon of gasoline
Now, we equal both formulas and isolate x:
15 + 2.5x = 10 + 2.75x
5 = 0.25x
20 = x
The indifference point is 20 gallons.
Prove:
Quik-Clean= 15 + 2.5*20= $65
Mighty Clean= 10 + 2.75*20= $65
how to convert meters to centimeters
2m =cm
Answer:
Multiply by 100
2m=200 cm
Step-by-step explanation:
Erica babysits for 4 ½ hours and is paid $27. How much does she make for 8 hours?
Answer: $216
Step-by-step explanation:
Hope it helped
mina put 1205 pokemon cards into a notebook with 15 cards per page. how many sheets can she fill? how many cards left over
Answer:
she filled 80 pages with 5 left over
Step-by-step explanation:
A diver descends at a steady rate of 2.54 meters every hour. Yesterday, he dove to a depth of 18 meters. Which expression can you use to find how many hours he dove?
Answer:The answer is C OR –18 ÷ –2.54
Step-by-step explanation:
i got the question right
10) Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles
per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Complete the table, and then write an equation to solve.
Hint: Distance equals rate times time. (d = rt)
Rate Time Distance
Answer:
Is this from VLA in ohio? Which school do you go to?
Write the polynomial in terms of its linear factors.
P(x) 2x^4 - 4x^3 - 16x^2
9514 1404 393
Answer:
P(x) = (2x)(x)(x-4)(x+2)
Step-by-step explanation:
Once the common factor of 2x^2 is factored out, you have ...
P(x) = 2x^2(x^2 -2x -8)
To factor the quadratic, you look for factors of -8 that have a sum of -2.
-8 = (1)(-8) = 2(-4)
These last factors have that sum, so we can write P(x) as ...
P(x) = (2x)(x)(x +2)(x -4)
4 Mr Franklin paid 145.76 for 0 gallons or
gas What is the price of 1 gallon of gas?
A $5.00
$5 16
B 06 07
D$5.05
Answer:
That doesn't make sense
Step-by-step explanation:
On Friday, the temperature changes -3celsius each hour. If the temperature changed for 7 hours, what is the total temperature change?
Answer:
-21 degrees
Step-by-step explanation:
What is the image of figure B after a -90° rotation about the origin?
A B
B. X
C. Y
D. Z
Answer:
D. Z
Step-by-step explanation: Just took the practice test
2x + 7 = 5x - 8 (x - 4)
Answer:
x=5
Step-by-step explanation:
2x + 7 = 5x - 8 (x - 4)
Distribute
2x+7 = 5x - 8x +32
Combine like terms
2x+7 = -3x+32
Add 3x to each side
2x+7+3x = -3x+32+3x
5x+7 = 32
Subtract 7 from each side
5x+7-7 = 32-7
5x = 25
Divide by 5
5x/5 = 25/5
x=5
Which is a better deal?
4 bags of chins for $1.00 or 6 bags of chips for $1.20?
Answer:
6 bags of chips for 1.20
What is -2/5 times 5/9?
Answer:
[tex]-\frac{2}{9}[/tex]
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random sample of 9 adults are chosen. The average temperature of the 9 adults is only 98.1°F with a SD of 0.9°F. The question is whether the data on these 9 people is sufficient evidence to conclude that average body temperature among all healthy adults is really lower than 98.6°F. Assume the average body temperatures follow the normal curve.
1. Which significance test should be used?
a. z-test because the 50 of the population is known.
b. t-test because the SD of the population is known.
c. neither since it is untkely that temperatures would follow the nermal curve.
d. a t-test because the 50 of the sample is unknown.
e. a t-test because the SD of the pepulation is unknown.
Since the sample size is small and temperatures are lkely to be normaly distributed ether test may be used.
2. What is the null hypothesis?
A. That the average temperature in the population is 98.1 F.
B. That the average temperature in the pepulation is 98.6.
C. That the average temperature in the population is less than 98.6 F.
D. That the average temperature in the sample is 98.1.
3. What is the abernative hypothesis?
A. That the average temperature in the pepulation is 98.1 F.
B. That the average temperature in the population is 98.6F.
C. That the average temperature in the population is less than 98.6.
D. That the average temperabure in the sample is 98.17.
4. Compute SD.
5. Compute the best statistic.
6. How many degrees of freedom are there?
Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample t-test will be used.
The correct option is b.
(2)
The null hypothesis is:
H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]
[tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.
Testing the hypothesis, it is found that:
1. e. a t-test because the SD of the population is unknown.
2. B. That the average temperature in the population is 98.6.
3. C. That the average temperature in the population is less than 98.6.
4. The standard error is of 0.3.
5. The test statistic is t = -1.67
6. There are 8 df.
We have the standard deviation for the sample, hence, a t-test should be used.
At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.
At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.
In this problem:
The standard deviation of the sample is [tex]s = 0.9[/tex]The sample has 9 adults, hence [tex]n = 9[/tex]The sample mean is of [tex]\overline{x} = 98.1[/tex]The standard error is of:
[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]
[tex]t = -1.67[/tex]
The amount of degrees of freedom is one less than the sample size, hence there are 8 df.
A similar problem is given at https://brainly.com/question/13873630
Please help!!!!!!!!!!!!!
Answer:
37, 3, 37
Step-by-step explanation:
A plane intersecting a double-napped cone is perpendicular to the central axis. Which conic section is formed?
Answer:
circle
Step-by-step explanation:
lol where teh f parabola come from
if it's perpendicular it makes a 90 degree angle to the central axis
that would make it a circle...
parabolas r when the plane forms the same angle w the central axis as the generator..............................
A conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis is a: A. circle.
What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, it refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
In Geometry, a circle is a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to the central axis because it forms an angle of 90° with the central axis.
Read more on conic section here: https://brainly.com/question/1287537
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Maria finds a shirt on the clearance rack. It's original price was $75, but now it only costs $15. Find the percent of
change.
Answer:
80 percent off
Step-by-step explanation:
First find the difference in cost (75-15=60)
then divide the difference by the original price 60/75=.8
The height of the Seattle Space Needle, including the spire, is 184 meters. The height of the building without the spire is 158 meters. What is the height, in meters, of the spire?
Answer:
26
Step-by-step explanation:
184-158=26
A work shift for an employee at a restaurant consists of 12 hours what fraction of the employees work shift is represented by 8 hours
Answer
b
Step-by-step explanation:
sylvia has three grandsons. carl is the youngest and is three years younger than ethan. scott is one year older than ethan. two years ago scotts age was twice the difference of ethan and carls age. how old are all three boys now?
Answer:
Carl is 4 year old
Scott is 8 year old
Etan is 7 year old
Step-by-step explanation:
Mark Brainliest Plz
Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?
Answer:way too much because chicken like turkey
Step-by-step explanation:turky is juste sleepyi chimken
PLEASE PLEASE HELP FAST!!! I WILL GIVE YOU BRAINLIEST!
Solve.
2x + 4 3
B) x 1/3
D) x < 1/3
Answer: 2x + 43 is already solved and so is x 1/3 and x < 1/3
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles.
Answer:
84
Step-by-step explanation:
none
The number of blue marbles are 126 and the number of red marbles are 24.
Given that, a bag contains 150 marbles.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
There are 21 blue marbles for every 4 white marbles.
Here, the ratio of blue marbles to red marbles is 21:4
The number of blue marbles = 21x and the number of red marbles =4x
So, 21x+4x=150
⇒ 25x=150
⇒ x=150/25
⇒ x=6
Then blue marbles=21x=126 and red marbles = 4x =24
Therefore, the number of blue marbles are 126 and the number of red marbles are 24.
To learn more about the ratio visit:
brainly.com/question/13419413.
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"Your question is incomplete, probably the complete question/missing part is:"
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?
Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon would then have twice as much as Kande. How much does each one actually have?
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
Simon has more money than KandeS > K
if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
While if Kande gave Simon $22, Simon would then have twice as much as Kande;if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
If m angle p is three less than twice the measure of angle q and angle p and angle q are supplementary angles. Find each angle measure
Answer:
m<P= 119
m<Q= 61
Step-by-step explanation:
How do you do this question?
Answer:
7
Step-by-step explanation:
1 / ((n + 1) + 2)³ ≤ 0.001
1 / (n + 3)³ ≤ 0.001
(n + 3)³ ≥ 1000
n + 3 ≥ 10
n ≥ 7
An example of multistage samples
Answer:
Multistage sampling divides large populations into stages to make the sampling process more practical.
Step-by-step explanation:
Let’s say you wanted to find out which subjects U.S. school children preferred. A population list a list of all U.S. school children would be nearimpossible to come by, so you cannot take a sample of the population.
An example of multistage samples is the Gallup poll.
What is the multistage sample?In this, we have to drawn the sample that should arise from the population that used the smaller and smaller group at every stage. It is applied for collecting the data from the large, and the group of people in national surveys.
The Gallup poll used multistage sampling. Like it randomly select a particular no of area codes after this randomly sample a no of phone numbers from within each area code.
Learn more about sample here: https://brainly.com/question/9555918
What is the product?
4
3x
5
The product written as an improper fraction is
2
The product written as a mixed number is 2
Answer:
The product written as an improper fraction is:
12
5 or 12/5
Step-by-step explanation:
4 x 3 = 12
5 5
Answer:
12/5
Step-by-step explanation:
if a cookie jar has 24 cookies how many cookies are left in the jar after eating some.How many cookies are in the jar after you have eaten 9 cookies?How many cookies are in the jar after you have eaten 9 and then eaten 3 more
Answer:
15&12
Step-by-step explanation:
24-9=15
15-3=12
Answer
if there is 24 cookies in the jar and 9 cookies are eaten 15 cookies will left and if 3 cookies are also eaten so 12 cookies will left.
Step-by-step explanation: