The table shows the distance, y, a cheetah can travel in feet in x seconds. Speed of a Cheetah Time, x (seconds) Distance, y (feet) 5 470 10 940 15 1,410 20 1,880 25 2,350 Based on the information in the table, which equation can be used to model the relationship between x and y? A. y = 5x B. y = x + 5 C. y = x + 470 D. y = 94x
Answer:D y=94x
Step-by-step explanation:
First dive y and x
Then you multiply the next x and the number that you got.
ALSO I GOT IT RIGHT
D. y = 94x. will be the equation that can be used to model the relationship between x and y.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given, a table is attached below.
Since The data in the table is showing the proportionality feature.
the property of having suitable proportions in terms of size, number, degree, harshness, etc. If a defensive action against an unfair attack results in destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Thus,
The ratio of distance and time for the cheetah = 470/5 or 940/10 or 1410/15
Since the time is denoted by "x" (in seconds) and distance is denoted by "y".
So,
y/x = 470/5
y = 94x
therefore, the equation that can be used to model the relationship between x and y will be D. y = 94x.
Learn more about algebraic Expression here:
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Hey there! I'm happy to help!
Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.
Here is what Sandy should have done.
STEP 1: 6·4+2÷2-7
STEP 2: 24+1-7
STEP 3: 25-7
STEP 4: 18
I hope that this helps! Have a wonderful day! :D
Steps to solve:
6 * 4 + 2 / 2 - 7
~Multiply
24 + 2 / 2 - 7
~Divide
24 + 1 - 7
~Add
25 - 7
~Subtract
18
In step one, she added instead of multiplied which caused her to get the wrong answer.
Best of Luck!
Albert and John are partners in a Bakery store. They needed $70,000 to start the business. They
invested in the ratio 3:7, respectively. How much did Albert invest in the business? How much did John invest in the business?
Answer:
Albert invested 21,000 and John invested 49,000 :)
Answer:
A: $21,000J: $49,000Step-by-step explanation:
The number of "ratio units" in their investment ratio is 3+7 = 10. Albert's investment was 3/10 of the total, so was $21,000. John invested the remaining amount, $49,000.
Albert invested $21,000; John invested $49,000.
2 of 6
Gavin & Henry share a lottery win of £8800 in the ratio 4: 1.
Gavin then shares his part between himself, his wife & their son in the ratio 1:6:3.
How much more does his wife get over their son?
Answer:
£2112
Step-by-step explanation:
To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts
Divide the win by 5 to find the value of one part of the ratio.
£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus
4 parts = 4 × £1760 = £7040 ← Gavin's share
Now repeat the process with the ratio for his family
1 + 6 + 3 = 10 parts
£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus
6 × £704 = £4224 ← wife's share
3 × £704 = £2112 ← son's share
Difference = £4224 - £2112 = £2112
Thus his wife gets £2112 more than the son
what is the best estimate of the sum of the fractions?
Answer:
13
Step-by-step explanation:
Need some help on my homework asap
Problem 9
List any three points that are on the same straight line.
So for example, you could say A, P and B. Or you could say C, P, and D. A third one you could do is J, D and K.
==============================
Problem 10
Now we're listing any three points that aren't on the same straight line.
One example of such triple is A, P and D. Another example is K, D, and C. There are many others as well.
==============================
Problem 11
List any four points that are in the same plane. So you'll pick four points from the set {A, B, C, D, P} to answer this question as these five points are all in the shaded plane R.
==============================
Problem 12
Pick any four points such that they do not all exist in the same plane. It doesn't matter which points you pick as long as J or K are one of the points selected. This is because neither J nor K are in the plane R.
===============================
Problem 13
Line JK intersects CD at point D. The other line that crosses CD is line AB.
Line AB is in plane R, while line JK intersects the plane at point D only.
===============================
Problem 14
Intersecting line JK and plane R results in point D. This is where the line and plane meet, as mentioned in the previous problem.
If you were asked to intersect line AB and plane R, then you would get line AB as a result. All of line AB is inside the plane.
solve using substituion -5x + y = -2 -3x + 6y = -12
Answer:
x = 0y = - 2Step-by-step explanation:
-5x + y = -2………… Equation 1
-3x + 6y = -12 ………… Equation 2
Using substitution
Make y the subject in equation 1 and substitute it into equation 2 and solve for x
That's
y = 5x - 2
We have
- 3x + 6( 5x - 2) = - 12
- 3x + 30x - 12 = - 12
27x = - 12 + 12
27x = 0
Divide both sides by 27
x = 0
Substitute x = 0 into y = 5x - 2
We have
y = 5(0) - 2
y = - 2
So the solutions are
x = 0 y = - 2Hope this helps you
Marcus can buy 0.3 pound of sliced meat from a deli for $3.15. How much will 0.7 pound of sliced meat cost.
Answer:7.35
Step-by-step explanation:
A research team conducts a survey to determine the area of land used for farming in Iowa. The team randomly selects house addresses and sends the survey by mail.
Which type of sampling method is the research team using?
Answer: simple random sampling
Step-by-step explanation:
From the question, we are informed that a research team conducts a survey to determine the area of land used for farming in Iowa and that the team randomly selects house addresses and sends the survey by mail.
The type of sampling method which the research team is using market is the simple random sampling method. A simple random sampling is a subset of a larger set whereby all the participants have an equal and fair chance of being selected in the survey participation.
Can someone help me out in these 3 questions??
Answer:
I'm not completely sure about the first one, but #8 is 0.0419, and #9 is 30500.
what is the mean of the data set rounded to the nearest tenth? 1.2, 1.8, 1.6, 1.4, 1.4, 2.2
Answer:
1.6
Step-by-step explanation:
1.2, 1.8, 1.6, 1.4, 1.4, 2.2's mean rounded to the nearest tenth is 1.6
beatrice is 4 feet 8 inches how many inches is beatrices?
Answer:
56 inches
Step-by-step explanation:
4 feet in inches is 48
48+8=56
Answer:
56
4 times 12 is 48
48 + 8 = 56
Slope -intercept from two points (-9,7) and (-6,-3)
Answer:
See image below.
Step-by-step explanation:
What is the value of this expression 18+3(10-2)
Answer:
42
Step-by-step explanation:
First subtract 10 by 2
18+3(8)
Now multiply 3 and 8
18+24
now add 18 and 24
18+24=42
Hope this helps! : )
Suppose that, in 2000, France produced 6.122 million pounds of wheat. The total world production that year totaled 176 million pounds of wheat. What percent of the world's total production of pounds of wheat is contributed by France? Round your answer to the nearest tenth. Use P/100=A/B
Answer: 3.5%
Step-by-step explanation:
given data:
france production in 2000 = 6.122million pounds of wheat.
world production = 176 million pounds of wheat.
Solution:
france contribution from the workd total production in year 2000.
= P/100 = A/B
= 6.122/176 * 100
= 3.5%
france percentage contribution to the world total in the year 2000 was 3.5% of the world total.
how do i write 400.004 in unit form?
Answer:
4 hundreds and point 4 thousandths
Step-by-step explanation:
You have to write a number using place value units.
(-5, -6) and (6, – 4)
write in standard form
Answer: -5*10^0
-6*10^0
6*10^0
-4*10^0
I hope this helped there's also standard calculators so don't waste your points .
Nathan caught 12 purple butterflies. Jordan caught 'n' purple butterflies. Nathan and Jordan caught a total of 25 purple butterflies. How many purple butterflies did Jordan catch?
25 + n =12
12 -25 =n
12+25-n
12+n=25
Answer:
jordan caught 13 butterflies
Step-by-step explanation:
25-12=13
14
Step-by-step explanation:
start at 12 the count to 25 on your fingers
Dullco Manufacturing claims that its alkaline batteries last at least 40 hours on average in a certain type of portable CD player. But tests on a random sample of 18 batteries from a day's large production run showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours. To test DullCo's hypothesis, the p-value is
Answer:
The value is [tex]p- value = 0.041815[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 40 \ hours[/tex]
The sample size is [tex]n = 18[/tex]
The sample mean is [tex]\= x = 37.8 \ hours[/tex]
The standard deviation is [tex]\sigma = 5.4\ hours[/tex]
The null hypothesis is [tex]H_o : \mu = \ge 40[/tex]
The alternative hypothesis is [tex]H_a : \mu < 40 \ hour s[/tex]
Generally the test statistic is mathematically evaluated as
[tex]t= \frac{\= x - \mu}{ \frac{\sigma}{ \sqrt{n} } }[/tex]
[tex]t= \frac{37.8 - 40}{ \frac{5.4}{ \sqrt{18 } }[/tex]
[tex]t= -1.73[/tex]
From the z - table the p-value is obtained and the value is
[tex]p- value = P(Z < -1.73)[/tex]
[tex]p- value = 0.041815[/tex]
To test DullCo's hypothesis, the p-value is 0.041815 and this can be determined by using the given data.
Given :
DullCo Manufacturing claims that its alkaline batteries last at least 40 hours on average in a certain type of portable CD player. But tests on a random sample of 18 batteries from a day's large production run showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours.The following steps can be used in order to determine the p-value for DullCo's hypothesis:
Step 1 - The formula for t-statistics can be used in order to determine the p-value for DullCo's hypothesis.
Step 2 - The formula for t-statistics is given below:
[tex]t = \dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n} }}[/tex]
where the sample size is 'n', the standard deviation is [tex]\sigma[/tex], and the mean is [tex]\mu[/tex].
Step 3 - Now, substitute the values of [tex]\sigma[/tex], [tex]\mu[/tex], [tex]\bar{x}[/tex], and n in the above formula.
[tex]t = \dfrac{37.8-40}{\dfrac{5.4}{\sqrt{18} }}[/tex]
Step 4 - SImplify the above expression.
[tex]t = \dfrac{-2.2}{1.2727}[/tex]
[tex]t = -1.73[/tex]
Step 5 - Now, with the help of the z-table the p-value is:
[tex]\rm p-value = P(Z<-1.73)[/tex]
[tex]\rm p-value = 0.041815[/tex]
To test DullCo's hypothesis, the p-value is 0.041815.
For more information, refer to the link given below:
https://brainly.com/question/14723549
Answer the questions in the picture please
Step-by-step explanation:
1) angle 2 and 4
2)angle 2 and 3
3)angle 1 and 4
Hope it helps
How many more cherry pies have 606060 to 898989 cherries than 909090 to 119119119 cherries? 4 5 6 8 9 10 11 13 iqr helppppp please
I will mark branliest for ever Andrews first and it’s also 40 points
1. Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?
5/10 divide ?/?= 1/2
2. 12/15 divide ?/? = 4/5
3. 10/12divide ?/? = 5/6
4. 14/18 divide ?/? = 7/9
Answer:
3/3 12/15 divided 3/3 = 4/3
What is the value of x?
Enter your answer in the box
If matherens bannanas cost $1.98 for 3lbs. At winn dixie bannanas cost $2.97 for 4lbs. Which store has the better price. Please give answer please
Answer: Matherens has the better price
Step-by-step explanation:
To find the better price, all we have to do is divide the price by the number of pounds to find how much one pound is for each store.
Matherens: 1.98 ÷ 3 = 0.66
That means 1 pound of bananas at Matherens is 66 cents.
Winn Dixie: 2.97 ÷ 4 = 0.74
That means 1 pound of bananas at Winn Dixie is 74 cents.
This means that Matherens is charging less per pound of banana.
Which expressions are equal to 0 when x = –1
10
Use the diagram shown.
4
If m_1 = (4x + 2) and m_3 = (5x - 15), what is the value of x?
Answer:15
Step-by-step explanation:
what is the cubed roof of 16? Help needed please
When graphing the point (-5, 7). you need to move (blank the answer)
from the origin.
A. down 5, then right 7
B up 5, then right 7 C left 5, then up 7 D right 5, then up 7
Answer:
A. Move 5 units down, then 7 units to the right.
Step-by-step explanation:
Kristy's yearly salary is $75,000. How do you express this number in
scientific notation?
Answer:
7.5000
Step-by-step explanation:
The two main components ofa stereo system are a radio and a speaker (ignore all other components). The lifetime of the radio is exponentially distributed with mean of 1000 hours and the lifetime of the speaker is exponentially distributed with mean of 500 hours, independent of theradio’s lifetime. What is the probability that system’s failure is due to the radio?
Answer:
the probability that system’s failure is due to the radio = [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
From the question given;
Let the mean lifetime of the radio [tex]\dfrac{1}{\lambda_1} = 1000[/tex] and the mean lifetime of the speaker [tex]\dfrac{1}{\lambda_2} = 500[/tex]
we can re-write both expressions as:
[tex]\lambda_1= \dfrac{1}{1000}[/tex] and [tex]\lambda_2= \dfrac{1}{500}[/tex]
Let consider [tex]X_1 \ and \ X_2[/tex] to be the variables which are independent to the exponentially distributed mean of [tex]\dfrac{1}{\lambda _1} \ and \ \dfrac{1}{\lambda _2}[/tex]
∴
[tex]P(X_1< X_2) = \int ^{\infty}_{0} \ P (X_1<X_2|X_1 =x) \lambda_1 e^{-\lambda_1 \ x} \ dx[/tex]
[tex]P(X_1< X_2) = \int ^{\infty}_{0} \ P (X_1<X_2) \lambda_1 e^{-\lambda_1 \ x} \ dx[/tex]
[tex]P(X_1< X_2) = \int ^{\infty}_{0} \ e^{-\lambda_2 \ x} \lambda _1 \ e^{-\lambda_1 \ x} \ dx[/tex]
[tex]P(X_1< X_2) = \int ^{\infty}_{0} \lambda _1 \ e^{(-\lambda_1 +\lambda_2)} \ dx[/tex]
[tex]P(X_1< X_2) = \dfrac{\lambda_1}{\lambda_1 + \lambda_2}[/tex]
replace the values now; we have:
[tex]P(X_1< X_2) = \dfrac{\dfrac{1}{1000} }{\dfrac{1}{1000} + \dfrac{1}{500}}[/tex]
[tex]P(X_1< X_2) = \dfrac{\dfrac{1}{1000} }{\dfrac{1+2}{1000} }[/tex]
[tex]P(X_1< X_2) = \dfrac{\dfrac{1}{1000} }{\dfrac{3}{1000} }[/tex]
[tex]P(X_1< X_2) = {\dfrac{1}{1000} } \times {\dfrac{1000}{3}[/tex]
[tex]P(X_1< X_2) = {\dfrac{1}{3} }[/tex]
Thus, the probability that system’s failure is due to the radio = [tex]\dfrac{1}{3}[/tex]