Answer:
There is not enough statistical evidence to suggest that the health insurance coverage is independent of the size of the company
Step-by-step explanation:
The given data presented in tabular form is presented as follows;
\(\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34&16&50\\Medium&61&14&75\\Large&85&15&100\end{array}\)
The null hypothesis, H₀; The two data are independent
The alternative hypothesis Hₐ; The variables are dependent
\(Expected \ value = \dfrac{(Row \ total) \times (Column \ total) }{Table \ total}\)
The expected value are the values in parenthesis in the following table;
\(\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34(40)&16(10)&50\\Medium&61(60)&14(15)&75\\Large&85(80)&15(20)&100\\Total&180&45&225\end{array}\)
\(\chi ^2 = \sum{\dfrac{ \left(O_i - E_i \right)^2}{E_i}\)
Therefore
χ² = (34 - 40)²/40 + (16 - 10)²/10 + (61 - 60)²/60 + (14 - 15)²/15 + (85 - 80)²/80 + (15 - 20)²/20 ≈ 6.1458
The degrees of freedom = (2 - 1)·(3 - 1) = 2
The p-value from the Chi-square table is 0.05 < p-value < 0.01
Given that the p-value is larger than the significant value, we have that data is not statistically significant and we fail to reject the null hypothesis.
Therefore, the health insurance coverage is independent of the size of the company
Can someone help me with this please
Answer:
The answer is B.
Step-by-step explanation:
When you multiply 32 with 225, you get 7200.
You then divide 7200 with 100, and get 72.
32 percent of 225 is 72.
question is in the image below
The perimeter of Sam's string is 178 inches.
Given information:
Sam has a rectangular shaped window.
Length = 65 inches.
Width = 24 inches.
To find the perimeter:
you can use the formula:
Perimeter = 2 x (Length + Width)
Substituting the values into the formula, we have:
Perimeter = 2 x (65 + 24)
Perimeter = 2 x 89
Perimeter = 178 inches
Therefore, the perimeter of the rectangular window is 178 inches.
So, the perimeter of the rectangular window is 178 inches. This means that if you were to walk along the outline of the window, you would cover a total distance of 178 inches. It's important to note that the perimeter represents the total length of all the sides combined, and it is measured in the same unit (in this case, inches) as the length and width of the window.
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2 pounds 6 ounces = ounces
2 pounds 6 ounces in ounces is equivalent to 38 ounces.
The given measurement is -
2 pounds 6 ounces
In 1 pound, there are 16 ounces.
So, we can write that -
2 pounds 6 ounces = 2 x 16 + 6
2 pounds 6 ounces = 38 ounces
So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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DUE TODAY!!!!!!!!!!!!!!
Answer:
Continue by 5's
10
15
25
30
and so on.
Say that in B as well. that 5 is being repeated.
then yes, because you continue to replicy the 5 until there is none left to do.
Step-by-step explanation:
Tanika drew a line of best fit on a scatter plot as shown below
Answer:
C. she forgot the minus sign for the first term on the right side of the equation.
Step-by-step explanation:
Tanika's work: 1.02(0.5)+7.09 = y
y = 7.6
She's missing the negative sign before 1.02. Her equation should have been -1.02(0.5)+7.09 = y
y = 6.58
Which transformations have been performed on the graph of f(x)=x√ to obtain the graph of g(x)=−2x+4−−−−√?
Select each correct answer.
Responses
translate the graph down
translate the graph down
compress the graph closer to the x-axis
compress the graph closer to the x -axis
reflect the graph over the x-axis
reflect the graph over the x -axis
translate the graph up
translate the graph up
translate the graph to the right
translate the graph to the right
translate the graph to the left
translate the graph to the left
stretch the graph away from the x-axis
stretch the graph away from the x -axis
All the statements apply on parent function are,
⇒ Reflect the graph over the x-axis
⇒ Translate the graph to the left
What is Refection?Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.
We have to given that;
The function is,
⇒ g (x) = √ - 2x + 4
And, The parent function is,
⇒ f (x) = √x
Now, The parent function is,
⇒ f (x) = √x
After reflect the graph over the x-axis,
⇒ g (x) = √ - 2x
And, After translate the graph to the left,
⇒ g (x) = √ - 2x + 4
Thus, All the statements apply on parent function are,
⇒ Reflect the graph over the x-axis
⇒ Translate the graph to the left
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PLEASE HELP THIS IS DUE SOON
A girl scout troupe baked a batch of cookies to sell at the annual bake sale. 1 point They made between 100 and 150 cookies. One fourth of the cookies were lemon crunch, and one fifth of the cookies were chocolate macadamia nut. What is the largest number of cookies the troop could have baked?
Answer:
150 cookies
Step-by-step explanation:
The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.
Hope this helps!
Urgent! Need help as soon as possible!
Above is a distance/time graph showing an object in motion. Use the information from the graph, write a scenario(story) about what the object is doing during each section.
Answer:
Step-by-step explanation:
A car moves from rest. During the first 20 seconds, it moves uniformly to a distance of 40 m. Then it stopped there for 10 seconds. Then It takes 20 seconds to move uniformly back to the starting position.
NEED HELP ASAPPP please
Answer:
it might be d I am not shore but I think that one sounds the best branley is making me do this to sigh. up sorry donjot use this
What is a more economical purchase, a 5-pound box of spaghetti priced at $6.02, or a 1.5-pound box for $1.70?
whats 5x5? Maybe will mark brainiest
Answer:
25
Step-by-step explanation:
5x5 = 25
Answer:
25
Step-by-step explanation:
Let's go through our times tables really quick!
5x1 = 5 (5 + 0)
5x2 = 10 (5 + 5)
5x3 = 15 (5 + 5 + 5 [10 + 5])
5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)
As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5
So, 5x5 is 25
Hope this helped!
Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for r(t) are measured in tonnes (metric tons) per second. Note that r(t) is increasing over the interval [0, 6]. t 0 1 2 3 4 5 6 r(t) 28 18 34 48 54 60 (a) Give upper and lower estimates (in tons) for the total quantity Q(6) of erupted materials after six seconds. (Use six equal subintervals.) lower estimate Q(6) tons upper estimate tons = 016) (b) Use the midpoint rule to estimate Q(6) (in tons). (Use three equal subintervals.) Q(6) = tons Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table. t(h) 0 2 4 6 8 10 r(t) (L/h) 8.6 7.5 6.7 6.4 5.7 5.1 Find lower and upper estimates for the total amount of oil in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.) lower estimate upper estimate
Lower estimate obtained would be = 35.4 liters
Upper estimate obtained would be = 35.4 liters
What is Estimate?
Estimation finds an estimate or approximation.
An approximation is a value, amount, or size closest to the true value found by rounding off.
To find upper and lower estimates for the total quantity of erupted materials after six seconds using six equal subintervals, we can use the left endpoints and the right endpoints of the subintervals to find the estimates.
The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. Since there are six subintervals, we have:
lower estimate = (28 + 18 + 34 + 48 + 54 + 60) * (6/6) = 324 tons
The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval. We have:
upper estimate = (18 + 34 + 48 + 54 + 60 + 60) * (6/6) = 324 tons
To use the midpoint rule to estimate Q(6) using three equal subintervals, we need to find the midpoints of the subintervals. The subintervals are [0,2], [2,4], and [4,6]. The midpoints are 1, 3, and 5. The value of r(t) at these points is 18, 48, and 54 respectively. The midpoint rule estimate is given by:
Q(6) = (18 + 48 + 54) * (6/3) = 180 tons
To find lower and upper estimates for the total amount of oil leaked over the interval [0, 10] using five equal subintervals, we can again use the left endpoints and the right endpoints of the subintervals to find the estimates. The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval.
The subintervals are [0,2], [2,4], [4,6], [6,8], and [8,10]. The left endpoints are 0, 2, 4, 6, and 8, and the right endpoints are 2, 4, 6, 8, and 10. The lower estimate is obtained by using the left endpoints:
lower estimate = (8.6 + 7.5 + 6.7 + 6.4 + 5.7) * (10/5) = 35.4 liters
The upper estimate is obtained by using the right endpoints:
upper estimate = (7.5 + 6.7 + 6.4 + 5.7 + 5.1) * (10/5) = 35.4 liters
Hence, The Lower estimate obtained would be = 35.4 liters and
Upper estimate obtained would be = 35.4 liters
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Round your answer to the nearest 10th
Answer:
Step-by-step explanation:
sry ion no 11
What is the surface area of the rectangular prism?
5 ft
5 ft
8 ft
What are the law of indices
Answer:
What are the laws of indices?
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same.
Step-by-step explanation:
The first law: multiplication
The second law: division
The third law: brackets
Negative powers
Power of zero
Fractional powers
What's the difference between a root and a factor?
The difference between a root and a factor is roots are zero of the function.
What's the difference between a root and a factor?
You can switch back and forth between a polynomial's factors and roots, according to the factor theorem. In other words, if you are familiar with one, you are familiar with the other. A polynomial of a degree of more than two may occasionally be asked of you by your teacher or your textbook. Finding its causes can help you discover its roots.
You can substitute a number for x and obtain a true assertion by using the root a.
(a – a)(a – b) = 0
The initial factor in this scenario is 0.
In order to produce a true assertion, you can alternatively replace x with the root b's number.
(b – a)(b – b) = 0
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Please help
What is 1. answer abc
What is 2. abcd
What is E and F
Also what is x
Help
Answer:
Step-by-step explanation:
1 × a = a
a² = a*a ; a³ = a*a*a .....
\((\frac{a}{b}) ^{n} = \frac{a^{n} }{b^{n} }\)
(1).
(a). \(7^{5}\)
(b). \((\frac{1}{7}) ^{6}\) = \(\frac{1}{7^{6} }\)
(c). \((9.3)^{9}\)
(2).
(e). \((\frac{1}{2} )^{4} =\frac{1}{2^{4} }\) = \(\frac{1}{2*2*2*2}\) = \(\frac{1}{16}\)
(f). \((\frac{1}{3} )^{2}\) = \(\frac{1}{3}\) × \(\frac{1}{3}\) = \(\frac{1}{9}\)
(3).
x² = 30² + 16² = 900 + 256 = 1156 = 34² ⇒ x = 34 units
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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A farmer finds there is a linear relationship between the number of bean stalks, n , she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 25 oz of beans. When she plants 32 stalks, each plant produces 24 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
The linear relationship between the number of bean stalks, n, and the yield, y, is y = -0.5n + 40. This equation can be used to predict the yield of beans for any number of bean stalks planted by the farmer.
To find the linear relationship between the number of bean stalks, n, and the yield, y, we can use the two data points provided by the farmer. We know that when 30 stalks are planted, each plant yields 25 oz of beans, and when 32 stalks are planted, each plant yields 24 oz of beans.
First, we need to find the slope, m, of the line. We can use the formula:
m = (y2 - y1) / (x2 - x1)
where x1 = 30, y1 = 25, x2 = 32, and y2 = 24.
m = (24 - 25) / (32 - 30) = -0.5
Next, we need to find the y-intercept, b, of the line. We can use the point-slope form of the equation:
y - y1 = m(x - x1)
where x1 = 30 and y1 = 25.
y - 25 = -0.5(x - 30)
y - 25 = -0.5x + 15
y = -0.5x + 40
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What is the volume of the cone?Use 3.14 for π, and round to thenearest hundredth.
For this problem use the formula for the volume of an oblique cone which is the same for the usual cone:
\(\begin{gathered} V=\text{ }\frac{1}{3}\pi r^2\text{ h =}\frac{1}{3}\pi(XY)^2\text{ WZ} \\ \text{substituting } \\ V=\frac{1}{3}(3.14)\cdot6^2\cdot18=678.24units^3 \end{gathered}\)Aubree went shopping at her favorite store, Target. She bought 3 shirts and a pair of jeans that cost $28. She spent a total of $88 on her purchase. How much does each shirt cost?
Answer:
88.00 and subtract 28 and the 3 shirts were
Step-by-step explanation:
answer 60
The number of passes completed by Brett Favre, quarterback for the Green Bay
Packers, was recorded for each of the 16 regular season games in the fall of 2006
(www.espn.com).
15 31 25 22 22 19 17 28
24 5 22 24 22 20 26 21
a. Draw a stem and leaf plot to describe the data.
b. Calculate the mean and standard deviation for Brett Favre’s per game pass
completions.
c. What proportion of the measurements lie within two standard deviations of
the mean?
2
3,4,4,5,5,5,5,7,7,8,810,10,10,14 5 numbers have a mean of 6, a median of 5 and a mode of 4. The largest number is 10. Find the numbers.
Answer:
Step-by-step explanation:
MODE
3,4,4,5,5,5,5,5,7,7,8,8,10,10,14
MEAN
10-6=4
MEDIAN
3,4,4,5,5,5,5,5,5,7,7,8,8,10,10,14 CROSS OUT THE FIRST AND THE END THE DO IT AGAIN UNTIL YOU GET TO THE middle.
MEDIAN =5
RANGE IS BIGGEST- SMALLEST
10-3=7
Determine the slope from the given graph below:
A • The slope is 5
B • The slope is -1/5
C • The slope is 7
D • The slope is -7
(I’ll give brainliest <3)
Slope is the change in Y over the change in x.
Use 2 points on the graph(x,y) to use to solev6.
(2,3) and (0,-7)
Slope = (-7 -3) / (0-2)
Slope = -10/-2
Slope = 5
Answer: A the slope is 5
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
divide 60 sweets between sabrina and her sister angela so that sabrina fets thrice as many as angela
let the number of sweets with Angela be " x "
and , let the number of sweets with Sabrina be " 3x "
Then ,
\(\bold{x + 3x = 60} \\\\\bold{ 4x = 60} \\\\\bold{ x = \cancel \frac{60}{4}} \\ \\\fbox\pink{ x = 15}\)
Hence ,
number of sweets with Angela = 15
number of sweets with Sabrina = 3(15) = 45
hope helpful~
What is the inverse of the function f(x) = X - 12?
The inverse of the function is f(x) = x +12
What is the inverse of the function answer?
An inverse function the effects of another function is said to have an inverse. When y=f(x) and x=g, a function g is the inverse of a function f. (y). Application of f followed by application of g is equivalent to doing nothing, in other words.
The original value for which a function produced its output is returned by the inverse function. In terms of functions, f and g are inverse, using the formula f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse. As a result, g(y) = (y-5)/2 = x is the inverse of f. (x).
y = x - 12
x = y - 12
x + 12 = y
Now rewrite y as f(x).
The inverse is f(x) = x +12
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26.
12/2(x+6)=2x-9
21
\(\frac{12}{2} (x+6)=2x-9\)
\(6x+36=2x-9\)
\(6x - 2x = -9 + 36\)\(4x = -45\)
\(x = -\frac{45}{4}\)
Hope that I helped you!