Answer:
61.16667 ; (58.958, 63.375)
Step-by-step explanation:
Given the data :
72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70
Standard deviation, σ = 5.3
Sample size, n = 30
The point estimate of the population mean:
Mean, m = Σx/n
Σx = 1835 ; n = 30
m = 1835 / 30
m = 61.16667
Confidence interval :
m ± Tn-1,α/2 * σ/sqrt(n)
61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)
61.16667 ± T29,0.015 * (5.3/sqrt(30))
61.16667 ± 2.282175 * (0.9676431)
Lower bound = 61.16667 - 2.20833 = 58.95834
Upper bound = 61.16667 + 2.20833 = 63.375
(58.958, 63.375)
Please help!! Will make brainliest
UmmmmAnswer:
Step-by-step explanation:
1/? x 1/2 = 1/10
PLEASE HELP
Answer:
5
Step-by-step explanation:
Answer:
Answer:5
Step-by-step explanation:
hope it helps.
Express the rate described.
James needs to work 65 hours every 3 weeks to meet the quota for his school internship.
Answer:
21.67 hours/ week
Step-by-step explanation:
Given
[tex]Hours = 65[/tex]
[tex]Weeks = 3[/tex]
Required
Determine the rate
The rate is calculated using:
[tex]Rate = \frac{Hours}{Weeks}[/tex]
Substitute values for hours and week
[tex]Rate = \frac{65}{3}[/tex]
[tex]Rate = 21.67[/tex]
This implies that the rate is 21.67 hours/ week
Consider this system of linear equations;
y=-3x + 5
y= mx + b
Which values of m and b will create a system of linear equations with no solution?
m = -3 and b = -3
m = 5 and b = -3
m = 3 and b = 5
m = -3 and b = 5
Answer:
The values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].
Step-by-step explanation:
An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:
[tex]y = m_{1}\cdot x + b_{1}[/tex] (1)
[tex]y = m_{2}\cdot x + b_{2}[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m_{1}[/tex], [tex]m_{2}[/tex] - Slope.
[tex]b_{1}[/tex], [tex]b_{2}[/tex] - y-Intercept.
If both lines are parallel to each other, then we must observe these two conditions:
1) [tex]m_{1} = m_{2}[/tex]
2) [tex]b_{1} \ne b_{2}[/tex]
Therefore, the values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].
Answer:
m=-3 and b=-3 on ed
Step-by-step explanation:
just did it
How many square feet are in 15 square yards
At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected. Consider two sampling methods: with replacement and without replacement. How will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B
Answer:
B: Sampling without replacement will result in a standard deviation less than but close to √0.4(0.6)/500
.Step-by-step explanation:
answer on khan academy
Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex] and this can be determined by using the standard deviation formula.
Given :
At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected.Consider two sampling methods: with replacement and without replacement.1) With Replacement --
The standard deviation is given by the formula:
[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}}[/tex] ---- (1)
where the value of 'p' is given by:
[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]
Now, substitute the value of p and n in the equation (1).
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}}[/tex]
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(0.6)}{500}}=0.02190[/tex]
2) Without Replacement --
The standard deviation is given by the formula:
[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}\times \left(1-\dfrac{n-1}{N-1}\right)}[/tex] ---- (2)
where the value 'p' is given by:
[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]
Now, substitute the value of p, n, and N in equation (2).
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}\times \left(1-\dfrac{500-1}{10000-1}\right)}[/tex]
Simplify the above expression.
[tex]\rm \hat{p} = 0.1442[/tex]
So, from the above calculation, the correct option is C) Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/23044118
The single equivalent discount rate of the trade discount 6/4/2 is:
Answer:
3/1
Step-by-step explanation:
Given the expression 6/4/2, we are to express as a single fraction.
6/4/2
= 6÷4/2
= 6×2/4
= 12/4
= 3/1
Hence the expression as a single fraction is 3/1
Select the reason why these triangles are
similar. If they are not, select "Not similar".
8
12
5
7
6.25
10
A. AA
B. SAS
C. SSS
D. Not similar
The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.
Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .
Given,
Two triangles with different side lengths.
Here,
The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.
Here,
Triangles are of same shape but the corresponding sides are not in same proportions.
∴ 8/5 = 10/6.25 ≠ 12/7
Therefore the two triangles are not similar.
Know more about similar triangles,
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Given the function y = x + 3, what is the value of y if x is 7?
Answer:
10
Step-by-step explanation:
y=x+3; x=7
Substitute x in with 7
y=7+3Add 7 and 3
y=10Which graph represents an even function?
Answer: last graph
Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.
Graphs of function that are EVEN, are symmetric about y-axis.
We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.
Graph 1, 2, 3 ---- not symmetric about y-axis
Graph 4 ------- Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.
the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were waiting inside how many were outside
Answer:
15 customers were outside
Step-by-step explanation:
Represent customers inside with x and customers outside with y.
So, we have:
[tex]x = \frac{1}{3}y - 2[/tex] --- First Statement
[tex]x = 3[/tex] --- Second Statement
Required
Find y
Substitute 3 for x in [tex]x = \frac{1}{3}y - 2[/tex]
[tex]3 = \frac{1}{3}y - 2[/tex]
Add 2 to both sides
[tex]2 + 3 = \frac{1}{3}y - 2 + 2[/tex]
[tex]2 + 3 = \frac{1}{3}y[/tex]
[tex]5= \frac{1}{3}y[/tex]
Multiply both sides by 3
[tex]3 * 5= \frac{1}{3}y *3[/tex]
[tex]15 = y[/tex]
[tex]y = 15[/tex]
Hence; 15 customers were outside
Find the value of EC.
13
12
E
B
EC = [?]
Answer:
8Step-by-step explanation:
NOT 5.
_____________________
Firstly note that the radius of the circle is 13 ( centre to D )
Thus the distance from B to the centre is 13
Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5
The distance from the centre to C ( the radius ) is 13, thus
x + EC = 13, that is
5 + EC = 13 ( subtract 5 from both sides )
EC = 8
Answer:
The answer is 8
Step-by-step explanation:
A sporting goods store sold 30% of the baseball bats in stock. If they had 420 bats in stock, how many did they sell?
Answer:they sold 126 bats
Step-by-step explanation:
30/100= 3/10
3/10x420=3x42=126
Write the equation for line in slope intercept form, given the point (3,-7) and slope = 9.
Answer:
y = 9x - 34
Step-by-step explanation:
(3 , -7) ; slope (m) = 9
Slope intercept form:
y - y1 = m(x -x1)
y - [-7] = 9 (x - 3)
y + 7 = 9*x - 9*3
y + 7 = 9x - 27
y = 9x - 27 - 7
y = 9x - 34
What do the factors in the factored form represent?
Answer:
the factored form tells you times at which the object's height is zero.
Step-by-step explanation:
Hope that helps
Have a good day
Answer:
The polynomial -8x2 + 54x + 140 can be factored as (x + 2)(-8x + 70).
The factor (x + 2) represents the final price per hot dog after increasing it from the starting price of $2, where x is the number of $1 increases in price.
The factor (-8x + 70) represents the average number of hot dogs sold based on the price increase. For every $1 increase in price, the number of hot dogs sold declines by 8. So, if the price increases by x dollars, the number of hot dogs sold declines by 8x. Since the number of hot dogs sold without the price increase is 70, the number of hot dogs after a price increase is -8x + 70.
Step-by-step explanation:
PLATO
Solve using substitution.
4x – 7y = -18
x = 6
Answer:
6
Step-by-step explanation:
4(6) - 7y = -18
24 - 7y = -18
-7y= -42
y= 6
Answer: y=6
Step-by-step explanation:
4(6)-7y=-18
24-7y=-18 subtract 24 on both sides
-7y=-42 **then divide -7 on both sides**
and the answer is y=6
Hi, can someone help me understand how to do this.I tried and I got confused and I was confident my answers were right but I got them wrong.These problems have to do with Quadratic applications I believe.
The answer is c  Explanation :
Answer:
answer c
Step-by-step explanation:
Is anyone able to check this for me?
Pyragtheom theory
8th grade math
Answer:
Those are both correct
Step-by-step explanation:
To solve for the triangle 12^2+10^2=c^2, and for the other question, you are correct because the hypotenuse is NEVER the shortest side.
You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent
Answer:
the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Step-by-step explanation:
As given , RST and angle TUR are right angles.
So the triangles are right angle triangles.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
If p= -7 and r = 1/2, what does pr - r equal
A) -4
B) -3
C) 3
D) 4
Answer:
Step-by-step explanation:
Factor the expression.
pr - r = r(p-1) = ½(-8) = -4
Answer:
-4
Step-by-step explanation:
pr = -7 × 1/2-7 × 1/2 = -3.5-3.5 - r = -3.5 - 1/2-3.5 - 1/2 = -3.5 - 0.5-3.5 - 0.5 = -4I hope this helps!
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes?
Answer:
9
Step-by-step explanation:
i did the math
Which expression is equivalent to the given expression?
8(3/4a) - 8
A. 3/4a
B. 6a
C. 8 (3/4a - 1)
D. 3/4a - 1
You have already saved $55. You earn $9 per hour at your job. You are
saving for a bicycle that costs $199. What inequality represents the possible
numbers of hours you need to work to buy the bicycle?
Answer:
$55+$9x≥$199
You must work for at least 16 hours to be able to buy the bicycle.
Step-by-step explanation:
Let x represent the number of hours you need to work to buy the bicycle.
You already have $55.
⇒$55+ −−−−−≥ −−−−−
You also earn $9 per hour.
Algebraically, this can be written as 9x.
⇒$55+$9x≥ −−−−−
You need to earn at least $199 to buy the bicycle.
⇒$55+$9x≥$199
The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.
Let's find out how many hours you need to work to buy the bicycle.
Subtracting $55 from both sides of the inequality:
⇒$55−$55+9x≥$199−$55
⇒$9x≥$144
Dividing both sides by $9:
⇒$9x$9$=$144$9
∴x≥16
Therefore, you need to work at least 16 hours to afford the bicycle.
3.6(x + 2) - 6 = 3.6x + 1.2
Answer:
3.6(x + 2) - 6 = 3.6x + 1.2 can change it on him
Greg is saving up for a new cell phone that will cost him $550: He
already has $300 saved. If he would like to buy the phone in four weeks,
how much must he save each week if he plans to have at least $550? *
Convert 6 months to years
Answer: 0.500001
Step-by-step explanation: Hope that helps!
The expression (4a + b) – 3(2a + b) is equivalent to:
Answer:
-2a - 2b
Step-by-step explanation:
Question : (4a + b)-3(2a + b)
= 4a + b - 6a - 3b
= 4a - 6a + b - 3b
= -2a + (-2b)
= -2a -2b
If you need detail solution here ;
first + multiply both 4a and b
first -3 multiply both 2a and b and then -3×2a= -6a
-3×b = -3b
and it will be 4a + b -6a -3b,then collect like terms
4a - 6a + b -3b
= -2a +(-2b) in this part + tims - = -
= -2a - 2b
If it's not helpful ask me on comment I will try to answer
If it's helpful ❤❤
THANK YOU
57:22 5 What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4,-3)? 2 1 (-1, 1) 513 2 1 2 3 4 % Oy+3= -41%+4) Oy+3= *(** 4) Oy+3 = *(+4) Oy+ 3 = 4(x + 4) 0,-3) Mark this and return Save and Exit Next Submit
Answer:
C. y + 3 = ¼(x + 4)
Step-by-step explanation:
✔️Find the slope of the given line:
Slope = ∆y/∆x = -(4/1) = -4
The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.
Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.
m = ¼.
Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)
Thus:
y - (-3) = ¼(x - (-4))
y + 3 = ¼(x + 4)
can someone help me??
Strategies for finding a 30 % increase....
Answer:
Identify the original value and the new value.
Input the values into the formula.
Subtract the original value from the new value, then divide the result by the original value.
Multiply the result by 100. ...
Check your answer using the percentage increase calculator.
Step-by-step explanation:
A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?
Answer:
apples cost a total of 2.16
cherrys cost a total of 9.05
Step-by-step explanation:
1.35*1.6=2.16
3.62*2.5=9.05