Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the claim that the vinyl gloves have a greater virus leak rate than latex gloves
Step-by-step explanation:
From the question we are told that
The sample size of vinyl gloves [tex]n_1 = 216[/tex]
The sample size of latex gloves is [tex]n_2 = 216[/tex]
The sample proportion of vinyl gloves that leaked virus is [tex]\^ p_1 = 0.68[/tex]
The sample proportion of latex gloves that leaked virus is [tex]\^ p_2 = 0.06[/tex]
The significance level is [tex]\alpha =0.05[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a: p_1 > p_2[/tex]
Generally the number of vinyl gloves that leaked virus is
[tex]x_1 = \^ p_1 * n_1[/tex]
=> [tex]x_1 = 0.68 * 216[/tex]
=> [tex]x_1 = 146.88[/tex]
Generally the number of latex gloves that leaked virus is
[tex]x_2 = \^ p_2 * n_2[/tex]
=> [tex]x_2 = 0.06 * 216[/tex]
=> [tex]x_2 = 12.96[/tex]
Generally the pooled population proportion is mathematically represented as
[tex]\^ p = \frac{x_1 + x_2}{ n_1 + n_2}[/tex]
=> [tex]\^ p = \frac{146.88 +12.96 }{ 216 + 216}[/tex]
=> [tex]\^ p = 0.37[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \^ p_1 - \^ p_2}{ \sqrt{\^ p (1- \^ p ) [\frac{1}{n_1} + \frac{1}{n_2} ]} }[/tex]
=> [tex]z = \frac{ 0.68 - 0.06}{ \sqrt{0.37 (1- 0.37 ) [\frac{1}{216} + \frac{1}{216} ]} }[/tex]
=> [tex]z =13.35[/tex]
From the z table the area under the normal curve to the right corresponding to 13.35 is
[tex]P( Z > 13.35) = 0.00[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 13.35)[/tex]
=> [tex]p-value = 2 * 0.00[/tex]
=> [tex]p-value = 0.00[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence we have that
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the claim that the vinyl gloves have a greater virus leak rate than latex gloves
I’ll give brainliest:(
Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles
Answer:
see below
Step-by-step explanation:
we know that
[tex]\angle 1 =\angle 2[/tex]
and that
[tex]\angle 1 +\angle 2 = 180[/tex]
so we substitute angle 2 by angle 1
[tex]\angle 1 +\angle 1 = 180\\\\2\angle 1=180\\\\\angle 1 = 90[/tex]
so there we have it
[tex]\angle 1 = 90 =\angle 2[/tex]
Are the ratios 84/96 and 56/63 proportional?
Answer:
No
Step-by-step explanation:
Because 84/96 = 7/8 and 56/63= 8/9
PLEASE HELP! Which table shows a proportional relationship between x and y?
The total cost for 56 sixth-grade students to go on a field trip was $1,904. How much did the field trip cost per student?
$31
$33
$34
$35
Answer:
$34
Step-by-step explanation:
Divide 1904/56 = $34
the answer? m. plzjjejekekekekekekekekek
Answer:
Whats the question?
Step-by-step explanation:
Find the intercepts to graph the line.
2x - y = -4
Answer:
Step-by-step explanation:
2
x
−
y
=
4
Solve for
y
.
Tap for more steps...
y
=
−
4
+
2
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
2
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
2
y-intercept:
−
4
how do I turn 5 — 3(х+1) — 2y — 3х + 2 into an y=mx+b form
Answer:
y = -3x + 2
Step-by-step explanation:
Ok so I assumed that you are setting this equal to 0 or there would be an equal sign in the equation. So basically you just want to gather like terms on each side so the y's on the left and the x's on the right. You then want to solve using algebra and you have your answer! I will add a picture to show my steps.
A farmer has 96 apples to sell at the farmers market. She wants to bag the apples before going. How many ways can the farmer bag the apples so that: each bag has at least 4 apples each bag has no more than 10 apples all bags have the same number of apples
Answer and explanation:
Farmer's number of apples = 96 apples
Given that Farmer needs to bag the apples so that there are at least 4 apples in each bag(not less than 4 apples in each bag) and not more than 10 apples in each bag
And also all apples in each bag are equal
We need to find the numbers between 4 and 10(including 4 and 10) that can divide 96 without a remainder
4 can divide 96= 24
5 cannot divide 96 without remainder
6 can divide 96 =16
7 cannot divide 96 without remainder
8 can divide 96=12
9 cannot divide 96 without remainder
10 cannot divide 96 without remainder
From the above we see that the factors of 96 = 4, 6, 8 between 4 and 10
4 apples = 24 bags
6 apples = 16 bags
8 apples = 12 bags
Therefore, there can be 3 possible ways of having equal number of apples in each bag between 4 and 10 apples
please help!!!!!! im not too sure how to answer this.
An apartment building has 24 apartments. The floor area of each apartment is 786 square feet.
Which shows the equation you can use to find the floor area, f, of all the apartments and the value of f?
A. 24 + 786 = f; 810 square feet
B. 24 × 786 = f; 28,864 square feet
C. 24 × 786 = f; 18,864 square feet
D. 24 × 786 = f; 17,864 square feet
Answer:
c.
Step-by-step explanation:
i think at least i just used the calculator
which of the following statements is incorrect?
Answer:
there is no picture
Step-by-step explanation:
i cannot solve this because there is no picture
Answer:
Step-by-step explanation:
where is the attachment?
prime factorization of 43
Answer:
Step-by-step explanation:
Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.
Could anyone help me with 4 questions about inequalities?
I will give points and brainiest.
Answer:
Put a shaded dot in 9 and an arrow pointing left
Step-by-step explanation:
Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)? Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2. Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2 . Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2 . Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
D
Step-by-step explanation:
I just took the quiz
Brainliest!!! 5 stars!!!! Thanks!!!
Answer: 11 . 5.65 (6)
12 14.1
Step-by-step explanation:
Answer:
Hey... Im zoribelle
Step-by-step explanation:
Find the value of x that makes the equation true: 3 - (x – 4) = -24
Answer: x=23
Step-by-step explanation:
3-x-4=-24
-1-x=-24
-23=-x
x=23
Answer:
[tex]x=31[/tex]
Step-by-step explanation:
[tex]3-(x-4)=-24[/tex] (given)
[tex]3-x+4=-24[/tex] (expand the brackets)
[tex]7-x=-24[/tex]
[tex]-x=-31[/tex]
[tex]x=31[/tex] (multiply [tex]-1[/tex] on both sides)
Hope this helps :)
Micheal and Tracy are carpeting their family room that is 14 1/2 feet long and 12 1/4 feet wide. To find the amount of carpet needed micheal says to multiply 15 1/2 and 12 1/4 and Tracy says to multiply 12 1/4 and 15 1/2 . Who is right how much carpet is needed
Answer:
Area of carpet = 177.625 ft²
Step-by-step explanation:
Given:
Length of room = [tex]14\frac{1}{2}[/tex] = 14.5 ft
Width of room = [tex]12\frac{1}{4}[/tex] = 12.25 ft
Find:
Area of carpet
Computation:
Area of carpet = lb
Area of carpet = (14.5)(12.25)
Area of carpet = 177.625 ft²
Micheal estimation = 15.5 x 12.25 = 189.875
Tracy estimation = 12.25 x 15.5 = 189.875
Both wrong.
Does anyone know the answers to A, B, and C?
What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is approximately 40%. The percent decrease is approximately 70%. The percent decrease is approximately 140%. The percent decrease is approximately 240%.
Answer:
The percent decrease is approximately 40%.Step-by-step explanation:
Step one:
given data
initial count of fish= 850
final count of fish= 500
Required
% decrease
Step two:
% decrease= final-initial/initial*100
substitute
% decrease= 850-500/850*100
% decrease=350/850*100
% decrease= 0.41*100
% decrease= 40.1%
The percent decrease is approximately 40%.
Answer:
The percent decrease is approximately 70%
BRAINLIEST:
Evaluate each expression for x = 2 and y = 5.
3. -4x^-2 + 3y^0
7.) If a circle has a diameter of 40 inches, what is the same circles radius?
120 inches
O 80 inches
20 inches
4 inches
at a shelter 97 % of the dogs are puppies there are 100 dogs at the shelter how many are puppies
Answer:
97 puppies
Step-by-step explanation:
97%=0.97*100 is 97
Hope this helps plz hit the crown :D
Answer:97
Step-by-step explanation:
97 puppies
Given: triangle ABC is isosceles with
So which means that ABC is not isosceles.
Complete the equation of the line whose y intercept is (0, 6) and the slope is 3
Answer:
y=3x+6
Step-by-step explanation:
The slope form can be written as y=mx+b
m is the slope, which is 3 in this case.
b is the y-intercept (6).
Add those values into the slope form equation. Just leave y as is.
find the slope of the given line in the equation:
given:y=1/3x -3
Answer:
1/3
Step-by-step explanation:
y=mx+b
m= Slope
So, 1/3 is the slope.
A boiling ball weigh 6 kilograms. How much does 4 bowling ball weigh?
What is the product of 2/3 x 3/8
Answer:
1/4
Step-by-step explanation:
First, reduce the numbers with the greatest common factor of 2.
Then, you get your answer of 1/4.
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
A. 36 inches
B. 21 inches
C. 15 inches
D. 30 inches
Answer:
The length is 15 inches.
Step-by-step explanation:
Perimeter of rectangle = 2L + 2W
If W = 6, then 2W = 2*6, which is 12.
Now, 2L + 12 = 42.
Solve for L.
2L + 12 = 42
2L = 30
L = 15
What are reactants in the process of photosynthesis check
all that apply
Complete the missing value in the solution to the equa
6x + 1 = y + 2x
3,
Blank 1:
Answer:
y = 4x +1
Step-by-step explanation:
6x + 1 = y + 2x
First you need to solve for y, so then you need to
1. Combine like terms
So since there isn't anything to combine we can more on.
2. Make Y by itself
You need to subtract the 2x from both side to get the answer
y = 4x +1
