Answer:
The null hypothesis is [tex]H_o: p \leq 0.2[/tex]
The alternate hypothesis is [tex]H_a: p > 0.2[/tex]
The pvalue of the test is 0.1515 > 0.01, which means that we do not reject the null hypothesis that 20% of less users develop nausea, that is, we have no sufficient evidence that this proportion is larger than 20%.
Step-by-step explanation:
Test the claim that more than 20% of users develop nausea
This means that the null hypothesis is that 20% or less of the users develop nausea, that is:
[tex]H_o: p \leq 0.2[/tex]
And the alternate hypothesis is that more than 20% develop, so:
[tex]H_a: p > 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8}[/tex]
Suppose 229 subjects are treated with a drug that is used to treat pain and 52 of them develop nausea.
This means that [tex]n = 229, X = \frac{52}{229} = 0.2271[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.2271 - 0.20}{\frac{\sqrt{0.2*0.8}}{\sqrt{229}}}[/tex]
[tex]z = 1.03[/tex]
Pvalue of the test an decision:
Probability of finding a proportion above 0.2271, which is 1 subtracted by the pvalue of z = 1.03
Looking at the z-table, z = 1.03 has a pvalue of 0.8485
1 - 0.8485 = 0.1515
The pvalue of the test is 0.1515 > 0.01, which means that we do not reject the null hypothesis that 20% of less users develop nausea, that is, we have no sufficient evidence that this proportion is larger than 20%.
David ordered 210 face masks. 50% of the masks are blue. A fifth of the total masks are white and the remainder are black masks. How many black masks
Answer:
63
Step-by-step explanation:
50 % of 210 = 105
one fifth of total = 42
black masks = (105+42=) - 210 = 63 ans.
The point P = (2/5, y) lies on the unit circle shown below. What is the value of y in
simplest form?
Using the unit circle, it is found that the value of y is given by:
[tex]y = \pm \frac{\sqrt{21}}{5}[/tex]What is the unit circle?The unit circle is a circle centered at the origin with radius 1, hence, it's equation is given by:[tex]x^2 + y^2 = 1[/tex]
At point P, we have that [tex]x = \frac{2}{5}[/tex], and hence, we have to find the value of y.
[tex]x^2 + y^2 = 1[/tex]
[tex]\left(\frac{2}{5}\right)^2 + y^2 = 1[/tex]
[tex]\frac{4}{25} + y^2 = 1[/tex]
[tex]y^2 = 1 - \frac{4}{25}[/tex]
[tex]y^2 = \frac{21}{25}[/tex]
[tex]y = \pm \sqrt{\frac{21}{25}}[/tex]
[tex]y = \pm \frac{\sqrt{21}}{5}[/tex]
To learn more about the unit circle, you can take a look at https://brainly.com/question/16852127
There are 15 chocolate, 10 vanilla, and 25 straw-berry candies in a jar. What is the likelihood of someone randomly picking vanilla? Write your answer as a fraction AND decimal.
Answer:
10/50 or 1/5 : 0.2
Step-by-step explanation:
10 + 15 + 25 would equal to your total amount or 50since there are 10 vanilla, 10/50 or 1/5 would be your fraction10/50 or 1/5's decimal form is 0.2Please answer this properly
Answer:
1. Fraction = 0.36, 36% and 36/100
A jar contains 10 red marbles 18 blue marbles and 12 white marbles. Which multiplication will halo you find the sorted probability of picking a red marble, replacing it, then picking a blue marble?
Answer:
[tex]\frac{9}{80}[/tex]
Step-by-step explanation:
So there is 40marbles in total
The probability of picking a red marble first is [tex]\frac{10}{40}[/tex] because there is 10 red marbles out of 40 total marbles
Then you replace it and I'm going to assume that you put the red marble back.
Then you would still have 40 marbles and the probability of picking a blue one is [tex]\frac{18}{40}[/tex] because there is 18 blue marbles.
Then you multiply [tex]\frac{10}{40}[/tex] and [tex]\frac{18}{40}[/tex] and that is [tex]\frac{9}{80}[/tex]
Hope this helps and If I'm wrong pls tell me.
The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
30.96 ft²
Step-by-step explanation:
area of square = 12 x 12 = 144 ft²
area of circle = (3.14)(6²) = 113.04 ft²
144 - 113.04 = 30.96 ft²
Please help thank you
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
X = 30 + 40 = 70
2/16 1 0 1 2 Which inequality matches the graph? A) n
There is no picture but I'll help you find out:
The inequality is easy because an inequality says,
y > mx + b (This is just an example)
m = slope
b = y- intercept
What about the sign?
If the circle in the graph which is at the y-intercept (b) is OPEN than it's either < or > depending on where it's going, if it's going to the right on a number line than it's >, however if it goes left than it's <.
What about the AND EQUAL TO sign?
Well same rules apply, however if the circle is CLOSED than it should be ≤ or ≥, same rules apply, if it goes right or left it's the same rule the only thing that changes is the and equal to, if circle is closed.
Example:
slope: 1/2
y-intercept: -9 (and the line is shaded to the right)
Open circle:
Equation: y > 1/2x - 9
Example 2:
slope: 3/4
y-intercept: -9 (is shaded to the left (less than))
(shaded)Closed circle:
Equation: y ≤ 3/4x - 9
Jerome bowling average ,j, is at or above the leagues average of 100. Witch inequality BEST represents?
Can somebody help me?
Answer:
the answer 24 squared
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Add 11 on both sides, therefore getting x is less than or equal to 11. Now find the graph that fits the description - therefore D.
Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?
O
lim f(x) DNE and lim F(x) DNE
X-8
tim f(x) DNE and lim f(x) = 120
X-8
Olim f(x) = 85 and lim f(x) = 85
X-8
lim f(x) = 85 and lim f(x) = 120
X 81
It’s :lim f(x)=85 and lim f(x)=120
The limit of the given functions f(x)=85 and lim f(x)=120.
We have given that,
Function f(x) has a jump discontinuity at x = 8.
We have to determine a statement that identifies possible one-sided limits at x = 8.
What is the meaning of discontinuity?lack of continuity or cohesion. gap sense 5. The property of being not mathematically continuous is a point of discontinuity. an instance of being not mathematically continuous, especially a value of an independent variable at which a function is not continuous.
lim f(x)=85 and lim f(x)=120
To learn more about limit visit:
https://brainly.com/question/26867415
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how much it must decrease 65432 to reach 100000
Answer:
165432
Step-by-step explanation:
165432 - 65432 = 100000
Calculate the amount of interest earned on a $2,000 investment made for 2 years at 3% p.a..
A total of 756 tickets were sold they were either adult or student there were 56 more student tickets sold than adults. How many adult tickets were sold?
Morgan needs to earn $16.31 more to have $40.00. Four students wrote and solved equations to find m, the amount of money that Morgan has now. Which student wrote and solved the equation correctly?
Sid’s work:
m minus 16 dollars and 31 cents = 40 dollars. M = 56 dollars and 31 cents.
Sora’s work:
m + 16 dollars and 31 cents = 40 dollars. M = 23 dollars and 69 cents.
Matt’s work:
16 dollars and 31 cents + 40 dollars = m. m = 56 dollars and 31 cents.
Zyad’s work:
16 dollars and 31 cents m = 40 dollars. M = 23 dollars and 69 cents.
Answer:
Sora's work:m + 16 dollars and 31 cents = 40 dollars. M = 23 dollars and 69 cents. is correct
Answer:
Sora’s work, B on edge 2022! i took the test :)
Solve the inequality -4x≤16 then represent the solution on a number line.
Divide each term by − 4 and simplify.
Inequality Form: x ≥ − 4
Interval Notation: [ − 4 , ∞ )
Your centrifugal pump costs approximately $30 to run each day. Your facility is charged 9.7 cents per kilowatt hour for electricity, and all pumps in your facility use 240 VDC. What is the resistance of the copper wire supplying electricity to this pump?
Answer:
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
Step-by-step explanation:
Given
Per day cost of running centrifugal pump is $30
Charge of electricity is 9.7 cents per kilowatt hour
Total electricity power consumed
[tex]\frac{30}{0.097} \\309.278[/tex] kilowatt hour
Current flowing through the pump
[tex]= \frac{309.278}{240} \\= 1.288[/tex]A
Resistance of the pump
[tex]\frac{1.288}{240} \\0.005[/tex] ohm
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
how many time larger is 5000 to 5
Answer:
1000 times larger.
Step-by-step explanation:
Answer:
1000 ( divide 5000 by 5 )
How is it similar please explain why don’t just say it looks the same please
find the area of the shape below
I WILL MARK BRAINLEST!!
Answer:
25.75 sq units
Step-by-step explanation:
Big triangle = 1/2 * 3.5 * 9 = 15.75
Tiny triangle = .5 * 2 * 2 = 2
Medium triangle = .5 * 2 * 5 = 5
square = 2 * 2
15.75 + 4 + 5 + 2
Find x, y and p in the given figure
Answer:
x=50
y=40
p=130
Step-by-step explanation:
A whole circle is 360 degrees, so 270+40+x = 360. x=50.
Y is the same angle as the 40 degrees above it.
P is the same as y+90, so it's 40+90 = 130.
Find the value of x, y, and z
Answer:
x=180-43-59=78
y=180-78=102
z=78-49=29
Step-by-step explanation:
Find the equation of a circle that has a diameter with endpoints given by the points
A(-4,1) & B(4,2).
Step-by-step explanation:
The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.
Coordinates of centre can be find out by the midpoint formula.
[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]
Now the measure of radius can be obtained by half the distance between them.
[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]
We know the general equation of circle as ,
[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]
(h,k) is centre r is radius.[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]
Find the surface area
No link please and thank you
Answer:
1200 in^2
Step-by-step explanation:
SA = 2B + Ph
SA = 2(8 * 15 / 2) + 40(27)
SA = 1200
3(4x – 2.5) = 5(0.4x + 10) + 33
what is the solution? ASAP
Answer:
3(4x - 2.5) = 5(0.4x + 10) + 33
3•(4•x - 2.5) = 5•(0.4•x + 10) + 33
10x = 90.5
x = 181/ 20
= 9.05
Step-by-step explanation:
9514 1404 393
Answer:
x = 9.05
Step-by-step explanation:
Start by eliminating parentheses.
12x -7.5 = 2.0x +50 +33
10x = 90.5 . . . . . . . . . . . . . add 7.5-2x
x = 9.05 . . . . . . . . . . divide by 10
1/4 k = 28
whats the value of k?
Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?
Answer:
I don't know.
Apr 23, 8:46:54 AM
What is the missing term?
Sam is watching airplanes fly over his head at an airshow. The airplanes approach from the east at an altitude of 0.1 mile. Sam watches the airplanes approach and fly past. Measure angles from straight over Sam's head, with angles to the east being positive and angles to the west being negative. Find the horizontal position p of the planes from Sam as a function of the angle of Sam's view as the planes approach and fly over
Answer:
Is this multiple choice question?
In triangle ABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, inches?
- 3 < AC < 7
- 3 ≤ AC ≤ 7
- 2 < AC < 8
- 2 ≤ AC ≤ 8
Answer:
-2 < AC < 8
Step-by-step explanation:
The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.