Answer:
There is sufficient evidence to conclude that the distribution of responses is different now than it was historically.
Step-by-step explanation:
Since the p-value is less than the alpha significance level you reject the null hypothesis that the histrocial data matches the current.
We don't have enough evidence to conclude that the distribution of responses is different now than it was historically.
What is human resources department?Human resources are the people who make up an organization's, business sector's, industry's, or economy's workforce.
A more specific concept is human capital, which refers to the knowledge and skills that individuals possess.
The chi-square goodness-of-fit test has a p-value of 0.089 at a significance level of 0.10. We cannot reject the null hypothesis because the p-value is greater than 0.10.
As a result, we lack sufficient evidence to conclude that the distribution of responses is different now than it was previously.
"We don't have enough evidence to conclude that the distribution of responses is different now than it was historically," is the correct answer.
Thus, this can be concluded regarding the given scenario.
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Your question seems incomplete, the probable complete question is:
Transcribed image text: Inference for categorical data (chi-square tests); Unit test The human resources department at a large company regularly conducts an employee satisfaction survey. One them on the survey presents employees with the statement, "I am happy overall at work. Based on historical data, here is the distribution of responses to this item Response Strongly Agree agree Disagree Strongly disagree 70% 15% 5% 10% Historical distribution The human resources department wants to test if the most recent responses fit the historical distribution. Here is a sample of 150 of the most recent responses to the statement along with a chi-square goodness-of-fit test. Response Strongly agree Agree Disagree Strongly disagree Inference for categorical data (chi-square tests): Unit test Response Strongly Agree Disagree Strongly agree disagree Observed 104 20 12 Expected 105 22.5 7.5 15 Components 0.01 0.28 5.63 0.6 x 6.52, DF - 3 P-value=0.089 Assume that all conditions for inference were met. At the a = 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was Inference for categorical data (chi-square tests: Unit test Assume that all conditions for inference were met At the a 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was historically We don't have enough evidence to conclude that the distribution of responses is different now than it was historically There is sufficient evidence to conclude that the distribution of responses is the same as it was historically No conclusions can be made from this test, because O expected counts cannot include decimals. There must have been a mistake in the calculations.
I need help with D, i’m confused on it.
Answer:
Step-by-step explanation:
[tex]A=P(1+\frac{r}{n})^{nt[/tex]
A = future value ($)
P = principal (orignal amount - $400)
R = rate (written as a decimal - 3%/100= 0.03)
N = compound (yearly - 1)
T = number of years (0, 5, 10, 15)
Now, substitute each number into the formula and record them in the table.
0 years:
[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*0}\\\\A=400(1+\frac{0.03}{1})^0 < ==any\ number\ raised\ to\ zero=1\\\\A=400(1)\\\\A=\$400[/tex]
5 years:
[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*5}\\\\A=400(1+\frac{0.03}{1})^{5}\\\\A=400(1+{0.03})^{5}\\\\A=400({2.03})^{5}\\\\A=400({1.1593})\\\\A=\$463.72 < ==round\ to\ the\ nearest\ dollar\\\\A=\$464[/tex]
10 years:
[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*10}\\\\A=400(1+\frac{0.03}{1})^{10}\\\\A=400(1+{0.03})^{10}\\\\A=400({1.03})^{10}\\\\A=400({1.3439})\\\\A=\$537.56 < ==round\ to\ the\ nearest\ dollar\\\\A=\$538[/tex]
15 years:
[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*15}\\\\A=400(1+\frac{0.03}{1})^{15}\\\\A=400(1+{0.03})^{15}\\\\A=400({1.03})^{15}\\\\A=400({1.5579})\\\\A=623.16 < ==round\ to\ the\ nearest\ dollar\\\\A=\$623[/tex]
20 years:
[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*20}\\\\A=400(1+\frac{0.03}{1})^{20}\\\\A=400(1+{0.03})^{20}\\\\A=400({1.03})^{20}\\\\A=400({1.8061})\\\\A=722.44 < ==round\ to\ the\ nearest\ dollar\\\\A=\$722[/tex]
Note that since we are rounding, answers may vary by a dollar or two.
Hope this helps!
A website charges the same shipping fee on every order. The table shows the relationship between the cost of the items on the website, a, and the total cost including shipping, y. Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x +
Answer:
Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x + 76
The length of the escalator is 36 ft and the
vertical height it rises is 9 ft. what is the angle
of elevation?
a. 90
b. 75. 52
c. 14. 48
d. 14. 04
Answer:
sin θ = 9 / 36 = 1/4
θ = 14.48 deg (ans C)
A cylinder with a height of 8 inches and a radius of 4 inches what is the volume?
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' is pi(22/7 or 3.14), 'r' is the radius which is being squared, and 'h' represents the height.
Plug in your values given that;
8 in. = height
4 in. = radius
V = π[tex]r^{2}[/tex]h
V = 3.14(4^2) x 8
V = 3.14(16) x 8
V = 50.24 x 8
V = 401.92 cubic inches or [tex]401.92^{3}[/tex] inches is the volume.
Employee identification codes at a company contain 2 letters followed by 4 digits. Assume that all codes are equally likely. Identify the probability that an ID code does not contain the letter I.
A. 0.9246
B. 0.6567
C. 0.7493
D. 0.8321
Using it's concept, it is found that the probability that an ID code does not contain the letter I is given by:
A. 0.9246
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering that for each letter there are 26 possible outcomes and for each digit there are 10 possible outcomes, the total number of outcomes is given by:
T = 26 x 26 x 10 x 10 x 10 x 10 = 6,760,000.
Without the letter "l", the desired number is given by:
D = 25 x 25 x 10 x 10 x 10 x 10 = 6,250,000.
Hence, the probability is given by:
p = 6,250,000/6,760,000 = 0.9246.
Which means that option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
What is the area of this rectangle?
42 sq ft
17 ft
34 ft
52 sq ft
Answer:
42 ft²
Step-by-step explanation:
→ State the area of the formula of rectangle
Length × Width
→ Substitute in the numbers
14 × 3 = 42 ft²
Answer:
42 sq ft
Step-by-step explanation:
L*W=A
14*3=42
please help me please
Answer:
its 17
Step-by-step explanation:
do 2 step Equation
How to find the complement of a 58 degree angle
Answer:
32°
Step-by-step explanation:
Complementary angles sum to 90°
the complement of 58° is
90° - 58° = 32°
Complementary angles add up to [tex]\sf{90^\circ}[/tex].
In order to find the complement of the given angle, we should set up the following equation:-
(let n be the unknown angle)
[tex]\sf{n+58=90}[/tex]
Subtract 58 from both sides:-
[tex]\bigstar{\boxed{\pmb{n=32}}[/tex]
Hence, the complement of the angle is 32 degrees.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Scaling factors! Help please!
Answer:
x=3
y=12
Step-by-step explanation:
The scale factor is 1:4
we divide 12 by 4 to get 3
if we multiply 3 by 4 it is 12 so y=12
Find the transpose of the matrix.
[8 6 1]
[2 -5 8]
[3 1 4]
Answer:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Step-by-step explanation:
To find the transpose all we do is change the rows into the columns and change the columns into rows.
So simply:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Answer:
Flip the elements around, aka, transpose!
[8 2 3]
[6 -5 1]
[1 8 4]
What is the value of y when y + 2.9 = 11?
Answer:
y=8.1
Step-by-step explanation:
Answer 1-3 please. Thank you.
Answer:
If we look at this spinner, we first need to find out how many letters there are in total.
There are 12 letters in total.
1.
For this question, they want us to find the probability of getting the letter 'R'.
We need to find how many letter 'R's there are.
There are 2 lettered 'R', out of the 12 letters.
So the probability of getting the letter 'R' is 2/12 which simplifies to 1/6.
2.
For this question, they want us to find the probability of getting the letter 'L'.
We need to find how many letter 'L's there are.
There are 3 lettered 'L's, out of the 12 letters.
So the probability of selecting the letter 'L' is 3/12 which simplifies to 1/4.
3.
For this question, they want us to find the probability of getting the letter 'B'.
We need to find how many letter 'B's there are.
There are 0 lettered 'B's, out of the 12 letters.
Therefore the probability of selecting the letter 'B' is impossible.
4.
For this question, they want us to find out which letter has the most likely chance of getting landed on.
In order to find this, we need to find one letter that is repeated a lot in this spinner, that way it is more likelier of getting that letter.
Let's look at each individual letter keeping the letters we've found so far to the side.
P(Z) = 4/12, which simplifies to 1/3.
P(S) = 1/12, which is already in simplest form.
P(F) = 2/12, which simplifies to 1/6.
Now let's compare all the probabilities for selecting each letter.
P(R) = 1/6
P(L) = 1/4
P(B) = impossible ← immediately eliminate this choice
P(Z) = 1/3
P(S) = 1/12
P(F) = 1/6
Now out of all of these probabilities, we can infer that the chances of getting the letter 'Z' is the most likeliest.
Robert bought 2.45 pounds of trail mix. The trail mix costs $6.75 per pound.
How much did Robert spend for the trail mix?
I need to answer A.S.A.P!
Answer:
Robert spent $16.54 for the trail mix.
Step-by-step explanation:
Multiply 2.45 with 6.75 to get 16.5375, and round it up to get 16.54
Find the area of this circle. Use 3.14 for π
Answer:
What circle?
Step-by-step explanation:
Please give more data
Answer:
I need a picture of the circle. you can't answer your question without an actual reference on what im solving
Step-by-step explanation:
The cylinder below is a storage tank for heating fuel. Which is closest to the amount of fuel the tank can hold?
A.151 ft³
B.226 ft³
C.301 ft³
D.452 ft³
Option C) 301 ft³ is the correct answer.
Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.
This question is incomplete, the missing image is uplaoded along this answer.
VolumeVolume simply the amount of space enclosed within a container.
The volume of a cylinder can be expressed as;
V = πr²h
Where r is the radius of the base of the cylinder, h is its height and π is pi ( π = 3.14)
Given the data in the question;
Height of the cylinder h = 6ftRadius r = 4ftVolume of the cylinder V = ?To determine the closest to the amount of fuel the tank can hold, we substitute our given values into the expression above.
V = πr²h
V = 3.14 × (4ft)² × 6ft
V = 3.14 × 16ft² × 6ft
V = 301.44ft³
V = 301 ft³
Option C) 301 ft³ is the correct answer.
Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.
Learn more about volume of cylinder here: https://brainly.com/question/16788902
Apples cost $1.99 per pound how much do 3 1/4 pounds of apples cost
Answer:
6.47
Step-by-step explanation:
1.99/1 lb= x/3.25lb
3 1/4=3.25
Cross multiply
X=(1.99)(3.25)=6.47
PLS hurry, can't figure out this question,:
What is half of 2 1/4* a cup
* 2 1/4 is a fraction
Answer:
1 1/8
Step-by-step explanation:
One half of 2 cups is 1 cup
One half of 1/4 cup is 1/8 cup
Answer = 1 + 1/8 = 1 1/8 cup
Another method
2 1/4 = (4×2+1)/4 = 9/4
Half of 9/8 = 1 1/8
Answer:
half of 2 1/4 as a fraction is 1 1/8
Please help me solve this question !!!!!
Answer:
b and d and e
Step-by-step explanation:
7/doubles(2)/4weeks so you have to multiply the • means multiplication a another way to show multiplication.b-7×8(2×4)=56.d-7×2×2×2×2(2×4)=56.e-7×2×4(2×4=8)=56.
screenshot :D will award brainliest
Answer:
9 cm²
Step-by-step explanation:
Sometimes these inscribed polygon problems respond nicely to a little geometrical thinking. The figure is symmetrical about the vertical line through the center of the square(s).
__
AnalysisThat line of symmetry divides the figure into halves that are twice as tall as wide. That same ratio applies to both the outer square and the inner (blue shaded) square.
In other words, a line from the center of the top segment through either bottom corner of the figure will pass through the corners of both squares. That line will have a slope of ±2, making it easy to find the coordinates of one of the lower corners of the shaded square.
__
System of EquationsAnalytically, we can write the equation of the right circle shown in the attachment as ...
x² +y² = 5²
and the equation of the line as ...
y = 2x +5
__
Solution of EquationsThen the x-value of the lower left corner will be found where these intersect.
x² +(2x +5)² = 25 . . . . . . substitute for y
x² +4x² +20x +25 25 . . . . eliminate parentheses
5x² +20x = 0 . . . . . . . . . . . . subtract 25
5x(x +4) = 0 . . . . . . factor
x = -4 or 0 . . . . . the x-coordinates of the points of intersection
The y-coordinate of the lower left point is ...
y = 2(-4) +5 = -3
__
Area of the SquareSince the top edge of the blue square has a y-coordinate of 0, this means the square is 3 cm on a side. Its area is ...
A = s² = (3 cm)² = 9 cm² . . . . area of the blue shaded square
Benin is sawing boards to make a deck. What is the area of the deck, shown
here?
La
10 ft
7 ft
5 ft
6 ft
help pls (explain to)
Answer:
C. 108.5 square feet
Step-by-step explanation:
Area of the deck
Area (left triangle) + Area (rectangle) + Area (right triangle)1/2 x 6 x 7 + 10 x 7 + 1/2 x 7 x 521 + 70 + 17.591 + 17.5108.5 square feetWhich equation has a graph that is a parabola with a vertex at (–2, 0)?
y = –2x2
y = (x + 2)2
y = (x – 2)2
y = x2 – 2
Comparing to the standard equation, the parabola with a vertex at (-2,0) is given by:
y = (x + 2)²
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, we have that h = -2 and k = 0, and all the options have leading coefficient a = 1, hence the equation is:
y = (x + 2)²
More can be learned about the equation of a parabola at https://brainly.com/question/17987697
Answer:
B. y = (x + 2)2Does this table represent a function?
Answer:
Yes it does!
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What is Earth's diameter, rounded to the nearest whole number?
Answer:
7918
Step-by-step explanation:
If you round Earth's diameter, I believe that it is 7,918 miles.
Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN
Lana does yard work. The information below shows the approximate time for each job:
Mow small lawn - 1/2hr
Mow large lawn - 3/4hr
Tidy yard - 1 1/2hr
Plant annuals - 2 1/2hrs
For one Saturday, Lana needs to mow 3 small lawns, mow 1 large lawn, tidy 2 yards, and plant annuals once. She needs travel time between jobs, and a break for lunch. Do you think she will be able to complete all of the jobs in one day? Justify your answer.
Answer:
No, not enough timeStep-by-step explanation:
Time to complete each of jobs
1/2 * 3 = 1 1/2 hrs3/4 * 1 = 3/4 hr1 1/2 * 2 = 3 hrs2 1/2 * 1 = 2 1/2 hrsTotal time at job
1 1/2 + 3/4 + 3 + 2 1/2 = 7 3/4 hrsIf the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.
This time is not sufficient so she can't complete all the jobs.
Answer:
No (see explanation below)
Step-by-step explanation:
Approximate times to carry out each job:
Mow small lawn = 1/2 hrMow large lawn = 3/4 hrTidy yard = 1 1/2 hrPlant annuals = 2 1/2 hrsFor one Saturday, Lana needs to:
mow 3 small lawnsmow 1 large lawntidy 2 yardsplant annuals onceTherefore, the total time for the jobs is:
[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]
The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch. A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.
Plis somebody help me with this
Which table represents a relationship that is not a function?
Answer:
T is not a function.
Step-by-step explanation:
The definition of a function is a relationship where only one x value has a specific y value. So if an x-value has more than one y value, it is not a function due to its rule. This can also be checked by using a graph, graphing the function, and checking if it fits the vertical line test.
We see all of them work except T, where 2 x values are stated that are the same but have different y values.
So T is not a function.
I hope this helped!
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Find the product of 3.2 and 4.6
Answer:
7.8
Step-by-step explanation:
3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8
3. 9, 11, 33, N, 105.
Answer:
N = 35
Step-by-step explanation:
The pattern in this sequence is x3, +2.
3 * 3 = 9
9 + 2 = 11
11 * 3 = 33
33 + 2 = N
N * 3 = 105
N = 33 + 2 = 105/3 = 35
What do you think equilateral means??
Answer:
an equilateral is a shape that has equal/even sides. All measurements that are made will be equal to each other whether it is the length of the side or the degree an angle has.
Hope this helps! :D
Answer:
Equilateral - All sides are equal. For example, in an equilateral triangle all of the sides are equal in length.
the measure of an angle is 65 what is the measure of its complementary angle
Answer:
25 degrees
Step-by-step explanation:
complementary angles are 90 degrees
90-65=25 degrees