Answer:
y = -5x -10
Step-by-step explanation:
plug the given values into the line equation: y = mx + b
where m is the slope and b is the y-intercept.
f(0) is the y-intercept (the point on the graph where x = 0)
The linear function with the properties f(0) = -10, Slope of -5 is f(X)=-5x-10.
To find the linear function with the given properties, we need to use the slope-intercept form of a linear function, which is:
y = mx + b
where:
y is the output (the value of the function)
x is the input (the independent variable)
m is the slope of the line
b is the y-intercept (the value of the function when x = 0)
We are given that f(0) = -10, which means when x is 0, the function value (y) is -10. This gives us the y-intercept (b = -10).
We are also given that the slope (m) is -5.
So, the linear function is f(x) = -5x - 10.
Hence, the linear function is f(x) = -5x - 10.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
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A rectangle is drawn so that the width is 4 feet shorter than the length. The area of the rectangle is 21 square feet. Find the length of the rectangle.
What’s the equation?
Answer:
The answer is D.
Step-by-step explanation:
Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napkin rings have the same height 5h. Use cylindrical shells to compute the volume V of a napkin ring of height 5 h created by drilling a hole with radius r through the center of a sphere of radius R and express the answer in terms of h .
Answer:
V = 1/6 π ( 5h)^3
Step-by-step explanation:
Height of napkin rings = 5h
Compute the volume V of a napkin ring
let a = 5
radius = r
express answer in terms of h
attached below is the detailed solution
find x in this similar triangles
Answer:
6. x = 4
8. x = 13
Step-by-step explanation:
Using similar triangles theorem,
6. (5+4)/5 = (4x + 2)/(4x + 2 - 8)
9/5 = (4x + 2)/(4x - 6)
Cross multiply
9(4x - 6) = 5(4x + 2)
36x - 54 = 20x + 10
Collect like terms
36x - 20x = 54 + 10
16x = 64
16x/16 = 64/16
x = 4
8. (4x + 13)/20 = 52/16
(4x + 13)/20 = 13/4
Cross multiply
4(4x + 13) = 13(20)
16x + 52 = 260
16x = 260 - 52
16x = 208
x = 208/16
x = 13
Divide 5x^2+3x-2 by x + 1
5x + 8
I used long division
A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean
Answer:
expected value is the mean : 10.5
Standard error for the sampling distribution : 0.375
it has a bell-shaped curve with 99.7% of the values between 9.375 and 11.625
Step-by-step explanation:
Help please guys thanks
Answer:
5
Step-by-step explanation:
(625 ^2)^(1/8)
Rewriting 625 as 5^4
(5^4 ^2)^(1/8)
We know that a^b^c = a^(b*c)
5^(4*2)^1/8
5^8 ^1/8
5^(8*1/8)
5^1
5
Answer:
[tex]5[/tex]
Step-by-step explanation:
[tex] { {(625}^{2} )}^{ \frac{1}{8} } \\ { ({25}^{2 \times 2} )}^{ \frac{1}{8} } \\ {25}^{4 \times \frac{1}{8} } \\ {5}^{2 \times 4 \times \frac{1}{8} } \\ {5}^{ \frac{8}{8} } \\ {5}^{1} \\ = 5[/tex]
The graph shows the functior f(x) = 2X
What is the value of x when f(x) = 8?
Answer: b
Step-by-step explanation:
A problem is given to three students A,B and C whose chances of solving 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
Answer:
because
1/2+1/3+1/4
1/2x6+1/3x4+1/4x3
1/12+1/12+1/12
1+1+1/12
3/12
1/4
1:4 so,their is a proability that the problem will be solved.
cho A là ma trận vuông cấp 2 và detA=11, Khi đó det(3A)=
Expand 3(5y-3) can someone answer this please
Answer:
15y -9
Step-by-step explanation:
3(5y-3)
Distribute
3*5y -3*3
15y -9
what 30 + 30+60+(56)-82=?
94 is the correct answer for that question
Step-by-step explanation:
30+30+60+56-82=94
cho f(x)= sign x và g(x) = x(1-x^2). tìm f(g(x))
Answer:
[tex]f(g(x))= sign(x(1-x^{2})) = sign(x-x^{3})[/tex]
Step-by-step explanation:
15. Find the x- and y-intercepts for the lineal equation - 3x + 4y = 24
Please explain steps! ❤️
Answer:
x (-8,0)
y (0,6)
Step-by-step explanation:
at the x-intercept, y = 0
at the y-intercept x=0
sub those values into your equation!
for the x-intercept,
-3x = 24
x = -8
for the y-intercept,
4y = 24
y = 6
PLEASE HELPPPPPPPPPPP
Answer:
P(S or T) = 3/4
Step-by-step explanation:
If f(x) = negative 3X -2, what if f(-5)?
Answer:
f(- 5) = 13
Step-by-step explanation:
Substitute x = - 5 into f(x)
f(x) = - 3x - 2 , then
f(- 5) = - 3(- 5) - 2 = 15 - 2 = 13
If the recipe takes 60 minutes to cook at a temperature of 350 degrees, how many minutes would it take at 200degrees
Answer:
The temperature has to be inversely proportional to the time therefore the solution will be:
60minutes/200degrees=x/350degrees
200x/200=21000/200
x=105minutes
I hope this helps
Answer:
105 minutes.
Step-by-step explanation:
As 200 degrees is less than 350 it will take longer at 200.
By proportion that would be (350/200) * 60
= 60 * 7/4
= 105 minutes.
The graph of f(x)=x^2 is shown. compare the graph of f(x) with the graph of q(x)=(x-2)^2
Answer: A. The graph of q(x) is 2 units to the right of the graph of f(x).
Step-by-step explanation:
Find the missing length indicated
Answer:
x = 175
Step-by-step explanation:
Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from the production line and tested for defects. What is the probability that exactly 2 calculators are defective?
Answer:
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
5% of calculators coming out of the production lines have a defect.
This means that [tex]p = 0.05[/tex]
Fifty calculators are randomly selected from the production line and tested for defects.
This means that [tex]n = 50[/tex]
What is the probability that exactly 2 calculators are defective?
This is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611[/tex]
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Game consoles: A poll surveyed 341 video gamers, and 95 of them said that they prefer playing games on a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that the proportion of gamers who prefer consoles differs from . Does the poll provide convincing evidence that the claim is true
Answer:
proportion of gamers who prefer console does not differ from 29%
Step-by-step explanation:
Given :
n = 341 ; x = 95 ; Phat = x / n = 95/341 = 0.279
H0 : p = 0.29
H1 : p ≠ 0.29
The test statistic :
T = (phat - p) ÷ √[(p(1 - p)) / n]
T = (0.279 - 0.29) ÷ √[(0.29(1 - 0.29)) / 341]
T = (-0.011) ÷ √[(0.29 * 0.71) / 341]
T = -0.011 ÷ 0.0245725
T = - 0.4476532
Using the Pvalue calculator from test statistic score :
df = 341 - 1 = 340
Pvalue(-0.447, 340) ; two tailed = 0.654
At α = 0.01
Pvalue > α ; We fail to reject the null and conclude that there is no significant evidence that proportion of gamers who prefer console differs from 29%
Evaluate z^2−3 z+4 , when z=−4
Answer:
8
Step-by-step explanation:
=z²-3z+4 when z is 4
=4²-3(4)+4
=16-12+4
=8
If all possible random samples of size N are drawn from a population with a mean of mu and a standard deviation of sigma, then as N becomes larger, the sampling distribution of sample means becomes approximately normal with a mean of muy(bar) and a standard deviation of sigmay(bar). This statement is known as the:
Answer:
"Central limit theorem" is the right answer.
Step-by-step explanation:
A hypothesis essentially claims that whenever there seems to be a small variance throughout the big confidence intervals, the sampling is based on averages as well as the sampling distribution (mean) usually nearly the same as the public's median.
When,
Mean = [tex]\mu_y[/tex]Standard deviation = [tex]\sigma_y[/tex]Sample size = Nis sufficiently larger than [tex]\bar Y \sim N(\mu_y, \sigma_y)[/tex]
Thus, the above is the right answer.
1. Consider a lottery with three possible outcomes:-$125 will be received with probability 0.2-$100 will be received with probability 0.3-$50 will be received with probability 0.5a. What is the expected value of the lottery
Answer:
The expected value of the lottery is $80
Step-by-step explanation:
To get the expected value, we have to multiply each outcome by its probability
Then we proceed to add up all of these to get the expected value of the lottery
we have this as ;;
125(0.2) + 100(0.3) + 50(0.5)
= 25 + 30 + 25 = $80
what’s the missing side of the polygons
Answer:
the missing side is 21!!!!!!!!
If a hypothesis is not rejected at a 5% level of significance, it _____.
a. will also not be rejected at the 1% level
b. may be rejected or not rejected at the 1% level
c. will always be rejected at the 1% level
d. will sometimes be rejected at the 1% level
Answer:
a. will also not be rejected at the 1% level.
Step-by-step explanation:
A hypothesis is rejected if:
The p-value is larger than the significance level.
Hypothesis is not rejected at a 5% level of significance
This means that the p-value is > 0.05.
At the 1% level:
p-value > 0.01, so it will never be rejected, and thus, the correct answer is given by option a.
what are the zeros of this function?
Answer:
the Ans is c
Step-by-step explanation:
actually I don't know how to explain
PLEASE HELP I REALLY NEED THIS
How is an inequality different from an equation?
What are four ways inequality can be written?
What would the graph of each inequality look like on a number line? (use an example)
What would the graph of an equation look like on a number line(use an example)
Pam has 15 candies in a jar, her sister threw in some more ( the ones she doesn’t like) and now Pam has 27. Write an equation to determine how many candies ( x) her sister put in the jar. Solve using both inverse operations and a balance scale.
Explain the Golden Rule for solving equations
using an example.
What does it mean if a situation has a condition or constraint? Give an example.
Give an example of a situation that contains an independent and dependent variable. Explain if your data is continuous or discrete.
Answer:
inequality is mostly represented on a number line but equation is not.
what is the value of tan 0 in the unit circle below
Tangent = opposite / adjacent, or in this case Tangent = y / x.
Tan = (1/2) / ([tex]\sqrt{3}[/tex] / 2)
1 / [tex]\sqrt{3}[/tex]
[tex]\sqrt{3}[/tex] / 3
Hope this helps!
The following data represents the age of 30 lottery winners.
22 30 30 35 36 37 37
37 39 39 41 51 51 54
54 55 57 57 58 58 61
64 68 69 72 74 75 78 79 80
Complete the frequency distribution for the data.
Age Frequency
20-29
30-39
40-49
50-59
60-69
70-79
80-89
