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;
[tex]\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}[/tex]
The null hypothesis, H₀; The two data are independent
The alternative hypothesis Hₐ; The variables are dependent
[tex]Expected \ value = \dfrac{(Row \ total) \times (Column \ total) }{Table \ total}[/tex]
The expected value are the values in parenthesis in the following table;
[tex]\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}[/tex]
[tex]\chi ^2 = \sum{\dfrac{ \left(O_i - E_i \right)^2}{E_i}[/tex]
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
if the given ordered pair equal then find value of x and y
(3x+5)=(x+2)
and (4y+7)= (y+3)
Answer:
3x+5 =x+2
3x-x=2-5
2x= –3
x=-3/2
4y+7=y+3
4y–y =3-7
3y=–4
y= —4/3
Write a statement that indicates that the triangles in each pair are congruent. NO LINKS!!
Answer:
23
UVW congruent to WFG
and
24
FHG congruent to LMN
Answer:
23 ) UVW is congruent to WGF
24 ) FHG is congruent to LMN
1.7p²q-1.5pq³+3.1p²q+7.1pq³
Answer:
see Image below:)
Step-by-step explanation:
Go here for steps
You roll a fair six-sided die. What are the chances the die shows an odd number or a number greater than one?
Answer:
4/3
Step-by-step explanation:
Out of the six sides 3 are odd and there's 5 numbers greater than 1. Basically these turn to the fractions 3/6 and 5/6 (these fractions stand for the probability they get rolled on this die).
Since the question says OR and not AND you add these fractions!
3/6 + 5/6 = 4/3
Calculate half yearly payment required for each five year intervals
Answer:
bro im not going to download that pdf
Step-by-step explanation:
if it takes 53 seconds to walk from the first floor of a building to the third floor how long will it take you to walk from the first floor to the six floor
Answer: 106 seconds. (1 minute and 46 seconds.
Step-by-step explanation: If it takes 53 seconds to get through 3 floors and there are six, that means you have to multiply 53 by 2, because there are 2 sets of 3 floors.
Hope this helps! :)
What is the measure of angle AIN?
O
A. 95°
B. 125°
C. 55
o
O
D. 30°
Answer:
30
Step-by-step explanation:
AIN is a vertical angle to FIL, which means they ae equal
FIL = 30 so AIN = 30
A local dealership provides you with statistics that show the number of each color car they sold last year along with the percentages that those sales represented relative to their inventory for that color car.
For each color, how many cars did the dealership have in its inventory before they started selling them?
Answer:
red: 20
white: 30
black: 25
silver: 40
other: 12
Step-by-step explanation:
To find the original number of cars per color in the inventory, divide the sold number of cars by the percent of the inventory.
red: 20 = 10/0.5
white: 30 = 21/0.7
black: 25 = 19/0.76
silver: 40 = 10/0.25
other: 12 = 4/0.33
Find the number of solutions of the equation 6x^2+6x+3=0 by using the discriminant
Answer:
No real roots
Step-by-step explanation:
Given
[tex]6x^2 + 6x + 3 = 0[/tex]
Required
The number of solution
The discriminant (d) for [tex]ax^2 + bx + c = 0[/tex] is:
[tex]d = b^2 - 4ac[/tex]
So, we have:
[tex]d = 6^2 - 4*6*3[/tex]
[tex]d = 36 - 72[/tex]
[tex]d = -36[/tex]
Since [tex]d <0[/tex], then the equation has no real roots
I need the steps if possible:)
Answer:
3/6=1/2
Step-by-step explanation:
There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6
Therefore, the probability of rolling an even number is 3/6 or 1/2.
HELP DUE SOON 20 POINTS
Answer:
x = 10
Step-by-step explanation:
m∠KNL = 90
10x - 10 = 90
10x = 100
x = 10
Please help please and thanks
The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.
Answer:
The answer is below
Step-by-step explanation:
The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.
Given that:
mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches
One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)
Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)
Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)
The graph is attached
7) Point P is located at (4,8) on a coordinate plane. Point P will be relfected over y = x. What will bee
the coordiantes of the image of point P?
A. (28,4)
B. 24,8)
C. (4,28)
D. (8,4)
The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 25 members on the board of directors
Answer:
2400 ways
Step-by-step explanation:
Combination has to do with the idea of selection. Here we need to select a president, a secretary, and a treasurer.
This means to select three out of twenty five persons.
From;
nCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
Thus we have;
25C3 = 25!/(25 - 3)! 3!
=
1.6× 10^25/1.1×10^21 × 6
= 2400 ways
What is the axis of symmetry for the graph of y=2x^2-6x+2
Use the formula below:
[tex] \large \boxed{h = - \frac{b}{2a} }[/tex]
From the given equation:
[tex] \large{y = 2 {x}^{2} - 6x + 2}[/tex]
Substitute a = 2 and b = -6 in the formula.
[tex] \large{h = - \frac{ - 6}{2(2)} } \\ \large{h = - \frac{ - 6}{4} } \\ \large{h = - \frac{ - 3}{2} \longrightarrow \boxed{h = \frac{3}{2} }}[/tex]
Since h is from (h,k). From an ordered pair, h = x and k = y. When answering the axis of symmetry, you should answer in term of x.
Answer
The axis of symmetry is x = 3/224 rail cars is what % of 40 rail cars
Volume of square based pyramid is 1568 cm3 and half of the length of the
side of the base is 7cm. Calculate the area of triangular faces of pyramid.
answer:
1393.84
Step-by-step explanation:
since the formula for a square base pyramid is a^2×h/3
we can find out the height for the pyramid by dividing the a^2×h/3 by a^2 =h/3
1568/7^2=32 since 32 = h/3 we multiply by 3 to find the height which = 96
now that we have the height we usee the pathagorean Therom to find the height of one of the face triangles
so 96^2+3.5^2=L^2 so L =96.06
so now that we have all we need
the surface area of the square at the bottom of the pyramid is 7×7
the surface area of the triangles are 96.06 ×7/2 since the area of a triangle is h×b/2
since there are 4 triangles and on square 49+4(96.06×7/2)= 1393.84
What are the coordinates of the point plotted on this graph?
Answer:
C
Step-by-step explanation:
Correct answer
HELPPP QUICK PLSS I WOULD REALLY APPRECIATE IT
Answer:
The colder it is, the more cups of hot chocolate will be sold.
Step-by-step explanation:
When it was 15 degrees Fahrenheit, 80 cups of hot chocolate were sold. When it was a 90 degree summer day, only 4 cups of hot chocolate were sold.
Select the true statement about the relationship between sample size and the standard deviation of distribution of sample means, also known as the standard error.
a. As sample size increases, standard error increases.
b. Sample size does not have an impact on standard error.
c. As sample size increases, standard error decreases.
d. As sample size decreases, standard error decreases.
Answer:
c. As sample size increases, standard error decreases.
Step-by-step explanation:
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].
Thus:
The standard error is inversely proportional to the square root of the sample size, that is, as the sample size increases, the standard error decreases, and the correct answer is given by option c.
Find the length of DF will give brainliest to the right answer
Answer:
3.75
Step-by-step explanation:
DF = 6/24 × 15 = 3.75
________________
Help find area of this
Answer:
120 sq feet
Step-by-step explanation:
1. 8 x 10 = 80
2. 8 x 5 = 40
3. 80 + 40 = 120 ft2 (sq feet)
what is 12 take away 1 3/5
10 3/5
thank your guy for the pool work
Find the measures of the angles marked x and y Remember that ( 1 ) the sum of the measures of the angles of a triangle is 180 ° and (2) supplementary angles have a sum of 180 °
Answer:
gonna guess you're asked to find the measures of two interior angles given at least one exterior angle and one interior angle.
Two angles on the same line are SUPPLEMENTARY. Let's say your exterior angle is 95 degrees. That makes the corresponding interior angle 180 - 95 = 85 degrees. If your other interior angle is 79 degrees, then your last interior angle is 180 - (85 + 79) = 16 degrees.
The measure of x and y is -
x = 40°
y = 50°
We have a figure shown in the image.
We have to determine the measure of angle x and angle y.
What is the relation between the sides of any triangle ?The relation states that the sum of the any two sides of a triangle is always greater than the third side. Mathematically -
a + b > c
According to the question -
y + (2x + 50)° = 180° [supplementary angles have a sum of 180°]
2x + y = 130°
y = 130° - 2x
Therefore, in the right - angled triangle -
x + 130° - 2x + 90° = 180° [the sum of angles of a Δ = 180°]
- x + 220° = 180°
x = 220° - 180°
x = 40°
and
y = 130 - 2 x 40 = 50°
Hence, the measure of x and y is -
x = 40°
y = 50°
To solve more questions on finding unknown angles, visit the link below-
https://brainly.com/question/28010527
#SPJ2
Look at the angle shown below.
Estimate the measure of the angle.
Answer:
A
Step-by-step explanation:
It's only slightly bigger than 90 degrees, so 110 is the only plausible conclusion
Answer:
110
Step-by-step explanation:
Find the value of the expression (4x – 12)+(1/3xy – 5) when x = 6 and y=2
Answer:
11
Step-by-step explanation:
GIVEN
x = 6
y = 2
STEPS
(4x - 12) + (1/3xy - 5 )
(4(6) - 12 ) + ( 1/3(6x2) - 5)
(24 - 12) + ( 1/3(12) - 5)
12 + (4 - 5)
12 + (-1)
(12 - 1)
11
PLEASE HELPPP !!!!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
128° because it is corresponding with <4
[tex] < 5 = \: < 3 \\ = \: < 4 \\ < 5 = 128 \degree[/tex]
The stock of Company A gained 6% today to $87.45. What was the opening price of the stock in the beginning of the day?
25 POINTS!!!!!!!!!!!!!!!!
Answer:
$82.50
Step-by-step explanation:
gainsd 6%=106%
$87.45×100%/106%=$82.50
Hope can help!!!
Answer:
$82.50
Step-by-step explanation:
gained6%=100%+6%
100%+6%=$87.45
100%=?
solution :
$87.45×100/106=$82.50
HELP! Please!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answer:
it will take 100,000 more days.
you can do this by dividing 10 and 1,000,000