Answer:
b) slope of the given line is m = - 3
Step-by-step explanation:
(x1 , y1 ) = ( 1 ,2 ) , ( x2 , y2 ) = ( 3, - 4 )
Slope m = y2 - y1
x2 - x1
m = - 4 - 2. = - 6 = - 3
3 - 1 2
The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 37 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.212 mm and sample standard deviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level.(a) Identify the correct alternative hypothesis Ha :μ > 21.21 μ < 21.21 μ = 21.21Give all answers correct to 4 decimal places.(b) The test statistic value is:(c) Using the Traditional method, the critical value is:(d) Based on your answers above, do you:Fail to reject H 0 Reject H 0(e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test: There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim The sample data supports the claim(g) Explain your choice in the box below.
Answer:
μ > 21.21
Test statistic = 1.217
Kindly check explanation for more details
Step-by-step explanation:
The null hypothesis, H0 : μ = 21.21
Alternative hypothesis, H1 : μ > 21.21
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(21.212 - 21.21) ÷ (0.01 / √2)
= 1.217
The critical value :
From the t distribution :, one tailed = 2.434
Decision region :
Reject H0 if test statistic > critical value
1.217 < 2.434 ; We fail to reject the null ` ; and conclude that there is not enough evidence to support the claim.
Function h models an object's height in feet after x seconds have passed. Which equation shows that the object's height increased by 100 feet over the first 15-second period?
A. h(15) 100
B. h(100) = 15
C. h(15) - h(0) = 100
[tex]d. \frac{h15 - h(0)}{15} = 100[/tex]
Answer:
C
Step-by-step explanation:
We know that function h represents an object's height in feet after x seconds.
In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.
Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.
Therefore, neither A nor B are correct.
Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.
In other words, the object's height increased by 100 feet over the first 15-second period.
Option C is correct.
For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.
Please help fill in the blanks! Worth 45 points
Answer:
Answer is as follows
Step-by-step explanation:
The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.
Answer:
Region I is n(A)
There's 21 elements there.
Region II is the intersection or the region shared by A and B. Denoted by (AnB)
From the data given again.
There are 13 elements in Region II
Region III
Thats part B of the venn diagram
Denoted by n(B)
There's 24 elements in this region.
Region IV
This is the intersection of A and C or the part of the diagram shared by A and C
Denoted by (AnC)
There's 11 elements in this section.
Region VI
This is region shared by B and C
or (BnC)
There's 12 elements in this section.
Region VII
Thats the C part of the Venn diagram
Denoted as n(C)
There's 21 elements here
Region VIII
This part is Empty.
There's no Elements outside the Diagram
There's 0 elements here.
Hope this helps.
Have a great day!
I need 2 expressions that are equal to 30m+15 when you solve them! Please be quick!
Answer:
[tex]30m + 15 = 3(10m + 5)\\[/tex]
[tex]30m + 15 = 5(6m+3)[/tex]
Step-by-step explanation:
Given
[tex]30m + 15[/tex]
Required
Equivalent expressions
We have:
[tex]30m + 15[/tex]
Factor out 3
[tex]30m + 15 = 3(10m + 5)[/tex]
Also:
[tex]30m + 15[/tex]
Factor out 3
[tex]30m + 15 = 5(6m+3)[/tex]
help with this please
Answer:
Hello! answer: 10
Step-by-step explanation:
you do a^2+b^2=c^2 meaning
8 × 8 + 6 × 6 will equal a number which then we have to find out the square root of that number meaning what number you can multiply by itself to get that number so...
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10
10 × 10 = 100 therefore the missing length is 10 hope that helps!
Uhhhh If you need c and d ask me
Answer:
what are c and d?
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
john earns more than don
Assume the average height for American women is 64 inches with a standard deviation of 2 inches. A sorority on campus wonders if their members have a different height, on average, from the population of American women. The mean height of group, which includes 25 members, is 65 inches.
A) Calculate the standard error for the distribution of means.
B) Calculate the z statistic for the sorority group.
C) What is the approximate percentile for this sample? Enter as a whole number.
D) If the sorority actually had 36 members (still with an average of 65 inches), would you expect the percentile value to increase or decrease? why?
Answer:
a) s = 0.4
b) Z = 2.5
c) 99th percentile.
d) The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume the average height for American women is 64 inches with a standard deviation of 2 inches
This means that [tex]\mu = 64, \sigma = 2[/tex]
A) Calculate the standard error for the distribution of means.
Sample of 25 means that [tex]n = 25[/tex], so [tex]s = \frac{2}{\sqrt{25}} = 0.4[/tex].
B) Calculate the z statistic for the sorority group.
Sample mean of 65 means that [tex]X = 65[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{0.4}[/tex]
[tex]Z = \frac{65 - 64}{0.4}[/tex]
[tex]Z = 2.5[/tex]
C) What is the approximate percentile for this sample? Enter as a whole number.
Z = 2.5 has a p-value of 0.9938, so 0.99*100 = 99th percentile.
D) If the sorority actually had 36 members (still with an average of 65 inches), would you expect the percentile value to increase or decrease? why?
The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.
The slope of the line graphed below is -3.
true or false?
Answer:
False, the slope is POSITIVE 3.
What is the solution to the equation below? Round your answer to two
decimal places.
ex = 7.9
The value of x will be 2.067.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ eˣ = 7.9
Now,
Since, The expression is,
⇒ eˣ = 7.9
Take natural log both side, we get;
⇒ ln eˣ = ln 7.9
⇒ x = ln 79 - ln 10
⇒ x = 4.369 - 2.302
⇒ x = 2.067
Thus, The value of x = 2.067
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Which values of c will allow the polynomial to be factored?
x² - cx - 24
Answer:
the possible values of c = -23, -10, -5, or -2
Step-by-step explanation:
The possible values of c that will allow the polynomial to be factored must be a factor of "-24"
1 x (-24) = -24 (for this case c = -23)
2 x (-12) = -24 (for this case c = -10)
3 x (-8) = -24 (for this case c = -5)
4 x (-6) = -24 (for this case c = -2)
Therefore, the possible values of c = -23, -10, -5, or -2
Emma signed up for a streaming music service that costs $6 per month . The service allows Emma to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Emma have to pay in a month in which she downloaded 40 songs? How much would she have to pay if she downloaded s songs ?
a Cost for 40 songs :
Cost for s songs :
Answer:
She would have to payed 36 dollars;
for the second part, i dont get it
Step-by-step explanation:
.75x40= 30
30+6 = 36
Answer:
Cost for 40 songs: $36
Cost for s songs: 0.75s + 6
Step-by-step explanation:
Set up an equation:
Variable s = number of songs
Variable x = number of months
0.75s + 6x
Solve for 40 songs in 1 month:
0.75(40) + 6(1)
30 + 6
$36
Solve for s songs:
0.75s + 6(1)
0.75s + 6
For his long distance phone service, Keith pays a $5 monthly fee plus 9 cents per minute. Last month, Keith's long distance bill was $21.02. For how many
minutes was Keith billed?
Answer: 178 minutes
21.02 x 100 = 2102
2102 - 500 = 1602
1602 / 9 = 178
What is the value of log↓3 81? 2, 3, 4 or 5?
Answer:The value of log base 3 log base 2 log base √3 81 is -a)1 b) 2 c)3 d) 0
Answer:
4
Step-by-step explanation:
Define [tex]\log_a b=c\implies a^c=b[/tex].
Let
[tex]\log_3 81=x[/tex].
Using our definition [tex]\log_a b=c\implies a^c=b[/tex], we have:
[tex]3^x=81[/tex]
Solving for [tex]x[/tex]:
[tex]x=\boxed{4}\text{ from simply knowing that }3^4=81[/tex]
Or
Algebraically solve step-by-step by taking the log of both sides:
[tex]\log 3^x=\log 81[/tex]
Using log property [tex]\log a^b=b\log a[/tex], rewrite:
[tex]x\log 3=\log81[/tex]
Divide both sides by log(3):
[tex]x=\frac{\log 81}{\log 3}=\boxed{4}[/tex]
Arianna has a coin collection. She keeps 4 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?
Answer: 40 coins. Doesn't your profile say college?
What choice is equivalent to the product below?
Answer:
Option C is the correct answer
[tex] {\frac{3 }{12}} [/tex]
Step-by-step explanation:
[tex]\huge \sqrt{\frac{3}{16}} . \sqrt{\frac{3}{9}} [/tex]
[tex] \huge =\sqrt{\frac{3\times 3}{16\times 9}} [/tex]
[tex]\huge =\sqrt{\frac{9}{144}} [/tex]
[tex] \huge =\sqrt{\frac{3^2 }{12^2 }} [/tex]
[tex]\huge ={\frac{3 }{12}} [/tex]
7 is an unending decimal. Find the
circumference of the circle below using
exact TT
12
C = [?]
C=πd
Answer:
Solution given;
diameter[d]=12
we
have
circumference of circle=πd=12π
12 is a required answer.
_________
#LetsStudy
If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7.
Answer:
C is your answer.
Step-by-step explanation:
Hope is right, you're welcome, and good luck on your work.
please don't forget to click in the ❤, and on the ⭐.
The required solution for F(x) = -7 is x = -2.
F is the function defined by F(x)=3x−1
What are functions?
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
F(x) = 3x-1
Now F(x) = -7
⇒-7 = 3x-1
x = -2
Thus, the required solution for F(x) = -7 is x = -2.
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Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest or smallest possible values for the sum of X and Y.
9514 1404 393
Answer:
smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8
largest: 1x -9 = 8; 2y +3 = 7. total = 19
Step-by-step explanation:
If we use variables to represent the box contents, we can write ...
ax -b = cdy +e = fThen the values of x and y are ...
x = (c +b)/a
y = (f -e)/d
For positive integer values of the variables, x will always be positive, and y may or may not be negative.
Smallest sumFor the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.
x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for
8x -3 = 4 ⇒ x = 7/81y +9 = 2 ⇒ y = -7For these coefficients, the sum is -6 1/8 = -49/8.
(note that the values of 'b' and 'c' can be swapped with no net effect)
Largest sumFor the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for
1x -9 = 8 ⇒ x = 172y +3 = 7 ⇒ y = 2For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.
_____
Additional comment
These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.
Answer:
Smallest: 8x-3=4; 1y+9=2. total= -49/8
Largest: 1x-9=8; 2y+3= 7. total= 19
Step-by-step explanation:
#CARRYONLEARNINGIf f(x)=x^2 is vertically stretched by a factor of 9 to g(x). What is the equation of g(x)?
Given:
The function is:
[tex]f(x)=x^2[/tex]
This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
[tex]g(x)=kf(x)[/tex] ...(i)
If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.
If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting [tex]k=9[/tex] in (i), we get
[tex]g(x)=9f(x)[/tex]
[tex]g(x)=9x^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the required function is [tex]g(x)=9x^2[/tex].
I’ll give brainliest
Answer:
d.18
Step-by-step explanation:
as x goes up by 1, y goes up 18
According to this diagram, what is sin 28°?
62
17
00
289
90°
15
A.
15
17.
B.
17
15
c.
17
D. 8
17
E. 15
8
Answer:
option d is correct
Step-by-step explanation:
taking 28 degree as reference angle . Then
sin 28 = opposite/hypotenuse
sin 28 = 8/17
The value of sin 28° is 8/17.
How to estimate the value of sin 28°?In the right triangle of the figure
Let, x be the opposite side angle of 28°
and y be the hypotenuse
[tex]$\sin \left(28^{\circ}\right)=\frac{x}{y}$[/tex]
We have,
x = 8 units and
y = 17 units
Substitute the values of x and y, we get
[tex]$\sin \left(28^{\circ}\right)=\frac{8}{17}$[/tex]
Therefore, the correct answer is option D. 8/17.
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Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
60 units
11 units
90 units
61 units
Answer:
90
Step-by-step explanation:
One afternoon the water park sold 525 tickets for a total of $13,545. Child tickets cost $19 each, and adult tickets cost $40 each. How many of each kind of ticket were sold?
Answer:
c = 355 ; a = 170
Step-by-step explanation:
c = children
a = adults
c + a = 525
19c + 40a = 13545
19c + 19a = 9975
19c + 40a = 13545
-21a = - 3570
a = 170
c + 170 = 525
c = 355
help me I got 25 missing assignments
Answer:
think it's the last one
Step-by-step explanation:
sorry if i'm wrong
Consider the graph of g(x) = –2x2 + 8x – 10. Identify the y-intercept, the vertex, and the zeros of the function.
Question 10 options:
A)
y-intercept: (0, 10); vertex: (–2, 2); zeros: none
B)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0) and (4,0)
C)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0)
D)
y-intercept: (0, –10); vertex: (2, –2); zeros: none
9514 1404 393
Answer:
D) y-intercept: (0, -10); vertex: (2, -2); zeros: none
Step-by-step explanation:
The graph does not cross the x-axis, so there are no real zeros. It crosses the y-axis at (0, -10), so that is the y-intercept.
These observations match choice D.
What is mortgage of a 400000.00 loan at 6% 30 year fixed
9514 1404 393
Answer:
$2398.20
Step-by-step explanation:
Perhaps you want the monthly payment. It is given by the amortization formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.
Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.
A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20
Is this correct? If not which is correct?
find the slope of the line between (1,4) and ( 3 , 10 )
Answer:
3
Step-by-step explanation:
slope of line = gradient of line
= [tex]\frac{10-4}{3-1}[/tex]
= 3
The total price of 3 chickens and 2 ducks is $27. The total price of 4 chickens and 3 ducks is $38. What is the price of a chicken! What's the price of a duck
3c+2d=27
4c+3d=38
Answer:
5.4
Step-by-step explanation:
3x + 2x = 5x
27 divided by 5 = 5.4
Substitute into both expressions
What is the completely factored form of this expression? 9x^3y - 100xy
Answer:
xy(3x+10)(3x-10)
