Answer:
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 62 - 1 = 61
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819
The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
Mean (M) = 6, Standard deviation (SD) = 2.45,
calculate the z-score for the specified raw score of 4.
Answer:
z = -0.816
Step-by-step explanation:
z = (x-μ)/σ
z = (4-6)/2.45
z = -0.816
Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't
9514 1404 393
Answer:
12e -6f -8
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
= (6e)(2) +(-3f)(2) +(-4)(2)
= 12e -6f -8
calculate the area of a triangle
Answer:
Area of triangle formula is ;
[tex] \frac{1}{2} bh[/tex]
2 minutes is how many seconds
Answer:
120
Step-by-step explanation:
2*60 = 120
Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12
Answer: I know that DC is 12 and AD=8 the others i dont know.
Step-by-step explanation:
This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.
800:2 in the simplest form
Answer:
400:1
Step-by-step explanation:
800:2
800/2:2/2
400:1
Given the function h(x) = 2.25x, find h(2)
Answer:
h(2)= 4.5
Step-by-step explanation:
h(x)=2.25x
h(2)=2.25(2)
= 4.5
Answer:
Hi! The answer to your question is 4.5
Step-by-step explanation:
To find h(2) we just have to find x in the equation and replace it with a 2
h(x)=2.25(2)
h(x)=2.25(2)=4.5
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Hope this helps!!
Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.
How many people can she feed with 30 pounds of turkey?
Answer:
yeah 10 people
divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah
Step by step explanation please
Step-by-step explanation:
of what where is the question
A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?
Answer:
20 is the longer piece, 9 is the shorter piece
Step-by-step explanation:
9*2=18
18+2=20
20+9=29
If f(x)= 2(3 to the power of x) +1 what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)= 2(3^x) + 1
f(2)= 2(3^2) + 1
= 2(9) + 1
= 18 + 1
= 19
The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654
Answer:
The answer should be 5.003, you can round if you want to 5
Step-by-step explanation:
Polygon STUV is reflected over the X axis and then over the Y axis to create WXYZ. Which of the following sides are congruent?
Answer:
ST and WX
Step-by-step explanation:
flipped around st and wx mathched
Answer:
ST and WX
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?
Answer:
640
Step-by-step explanation:
Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd
student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos
Answer:
3/6 or 1/2
Step-by-step explanation:
the amount that chose pizza = 2/6
5/6 = the amount that chose pizza + the amount that chose tacos
5/6 = 2/6 + the amount that chose tacos
the amount that chose tacos = 5/6 - 2/6
the amount that chose tacos = (5-2)/6
the amount that chose tacos=3/6=1/2
Answer:
3/6
Step-by-step explanation:
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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Find the value of x and y. Select all that apply. Please show your work :) image is attached
Answer:
x = 29
y = 110°
Step-by-step explanation:
y° = (3x + 23)° => corresponding angles are congruent)
(2x + 12)° + y° = 180° => linear pair
Thus:
(2x + 12)° + (3x + 23)° = 180° => substitution
2x + 12 + 3x + 23 = 180
Add like terms
5x + 35 = 180
5x = 180 - 35
5x = 145
x = 145/5
x = 29
✔️y = (3x + 23)°
Plug in the value of x
y = 3(29) + 23
y = 110°
During a 4-year period, 65% of snowstorms in a certain city caused power outages. 14 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 4-year period.
Answer:
40
Step-by-step explanation:
S x .35 = 14
S = 14/.35
S = 40
Verify:
40 x 35% = 14
Can anyone help me out??
9514 1404 393
Answer:
p(1) = 6
Step-by-step explanation:
The basic idea is to put 1 wherever you see x. That gives you ...
p(1) = 2·1² +3·1 +1
The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:
p(1) = 2 + 3 + 1
p(1) = 6
Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?
Given:
ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).
To find:
The x-coordinate of point D.
Solution:
Let the point D be (x,y).
We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
In parallelogram ABCD, AC and BD are two diagonals.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]
[tex]1=1+x[/tex]
[tex]1-1=x[/tex]
[tex]0=x[/tex]
Similarly,
[tex]-1=\dfrac{4+y}{2}[/tex]
[tex]-2=4+y[/tex]
[tex]-2-4=y[/tex]
[tex]-6=y[/tex]
The coordinates of point D are (0,-6).
Therefore, the x-coordinate of point D is 0.
Does john short qualify for overtime? Explain
Answer:
?
Step-by-step explanation:
Another group held a dance to raise money for charity. Pre-Sale tickets were $2.00 Less than tickets purchased at the event. They sold 54 pre-sale tickets and 82 tickets at the event. The group raised $980 from total ticket sales. How much did they charge for tickets at the event ?
Answer:
for the regular tickets they charged $8 for the pre sale the charged $6
What percentage of 400=104 pls help me
Answer:
26%
Step-by-step explanation:
To find the percentage of a number, I find it's often helpful to first write it as a fraction: [tex]\frac{104}{400}[/tex] .
Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]
.
Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:
[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]
As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.
6x-23+3m in standard form
Answer:
6x-23+3m
6x+3m-27 we can't add them b/c they have d/t
variables so the answer is 6x+3m-27
Write the equation of the quadratic function shown in the graph.
Answer:
Step-by-step explanation:
y = a(x-h)² + k, where (h,k) is the vertex.
vertex is clearly (0,0), so y = ax².
Plug in (3,3) and solve for a:
3 = a3²
a = ⅓
y = ⅓x²
i need help on this one too sorry to ask much
Answer:
I can't really see the pic :(
Step-by-step explanation:
Answer:
8^2
Step-by-step explanation:
8*8=8^2 or 64
By rounding to 1 significant figure estimate the answer to the question of these questions. a) 346x904
b) 2451x988
c) 3203x7756
Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT
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There are 1200 students at a school.
Each student has either a packed lunch or a school dinner.
62% of the students have school dinners.
55% of the students are girls.
45% of the girls have packed lunches.
62%=
How many boys have school dinners?
You must show all your working.
Answer:
38
Step-by-step explanation: 100 - 62= 38
I am not sure of my answer tho
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.
Answer:
Step-by-step explanation:
3/13
The probability of being dealt a picture card is 3/13
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the total number of cards in the deck be = 52 cards
Let the number of picture cards be = A
Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings
So , total number of picture cards = 4 + 4 + 4
= 12 picture cards
And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck
The probability of drawing a picture cards is P = 12 / 52
= 3 / 13
Therefore , the value of P is 3/13
Hence , The probability of being dealt a picture card is 3/13
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