Answer:
Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
we reject the Null hypothesis
Step-by-step explanation:
The correct test statistic
Assume :
Null Hypothesis : H_0 : p = 0.08
Alternative hypothesis : H_a : p ≠ 0.08
p = proportion of residents that are unemployed
x = unemployed residents = 22
n = sample size = 200
To get the sample of the population that is unemployed we use this equation
[tex]p = \frac{X}{n}[/tex] = 22 / 200 = 0.11
now we apply the test of of significance of single proportion
= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]
therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
Therefore we reject the Null hypothesis
Testing the hypothesis, it is found that the test statistic used is z = 1.6.
At the null hypothesis, it is tested if the proportion is of 8%, that is:
[tex]H_0: p = 0.08[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:
[tex]H_1: p \neq 0.08[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}[/tex]
[tex]z = 1.6[/tex]
A similar problem is given at https://brainly.com/question/24166849
last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?
Answer:
0.7 more hours
Step-by-step explanation:
8.6 - 7.9 = 0.7 more hours
Find the sum of the polynomials: (x2 + 4x + 5) + (3x – 3)
+2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4
Answer:
x^2+7x+2
Step-by-step explanation:
hi! you can only combine terms with the same power (exponent value).
if we stack this like a regular addition problem, it will be easier.
x^2 + 4x + 5
3x - 3
-----------------------
4x+3x is 7x, and 5+ (-3) is 2. we keep the x^2 the same.
therefore, the answer is x^2+7x+2
hope this helps!
In ΔGHI, \overline{GI} GI is extended through point I to point J, \text{m}\angle GHI = (3x+13)^{\circ}m∠GHI=(3x+13) ∘ , \text{m}\angle IGH = (x+8)^{\circ}m∠IGH=(x+8) ∘ , and \text{m}\angle HIJ = (6x-5)^{\circ}m∠HIJ=(6x−5) ∘ . Find \text{m}\angle GHI.m∠GHI.
Given:
In ΔGHI, GI is extended through point I to point J.
[tex]m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ[/tex]
To find:
The measure of angle GHI.
Step-by-step explanation:
According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.
Using exterior angle theorem, we get
[tex]m\angle HIJ= m\angle GHI+m\angle IGH[/tex]
[tex](6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ[/tex]
[tex](6x-5)^\circ=(4x+21)^\circ[/tex]
[tex]6x-4x=21+5[/tex]
[tex]2x=26[/tex]
Divide both sides by 2.
[tex]x=13[/tex]
Now,
[tex]m\angle GHI=(3x+13)^\circ[/tex]
[tex]m\angle GHI=(3(13)+13)^\circ[/tex]
[tex]m\angle GHI=(39+13)^\circ[/tex]
[tex]m\angle GHI=52^\circ[/tex]
Therefore, the measure of angle GHI is 52 degrees.
Finding area of rectangle
Answer:
A=wl
w=width
l=length
Step-by-step explanation:
Answer:
a=lw
Step-by-step explanation:
If you have a rectangle that was 2 inches wide, and 4 inches long, you would multiply the length(l) by the width(w) to get the area(a).
fiona has a box of chocolates the box contains 60 chocolates she eats 1/5 of the chocolates she gives 32 chocolates away what is the fraction of the chocolates does she have left answer in simplest form
Answer:
4/15
Step-by-step explanation:
Choose all the numbers divisible by 3
please i need help
Answer:
x+25. the first part of y is 160 and then -160
Step-by-step explanation:
the top x part is getting 25+ biggger
the top y part is getting 100+ smaller
Simply the expressions by distributing and combining like terms , if necessary 16x + 5.6(2x - 11)
Answer:
27.2x - 61.6
Step-by-step explanation:
16x + 5.6(2x - 11)
16x + 11.2x - 61.6
27.2x - 61.6
Suppose a recipe calls for 3 cups of sugar per 4 quarts of lemonade. How many cups of sugar are needed to make 10 quarts? Which setup would allow us to correctly solve the problem? (see image)
Answer:
7.5 cups of sugarStep-by-step explanation:
8 qts of lemonade calls for 6 cups of sugar; 2x of each.
2 qts of lemonade calls for 1.5 cups of sugar or half as much.
10 qts of lemonade calls for 7.5 cups of sugar
1. General admission to the Fair is $10.00. Each ride costs $4.75. If Lisa has $75.00 to spend att Fair , what method cal be used to find out how many rides she can go on?
Answer:D
Step-by-step explanation:mark me brainliest
18+ (-40 =||
please answer
It would equall 22
Subtract 18 from both sides of the inequality.
a<40−18
Subtract 18 from 40.
a<22
The result can be shown in multiple forms.
Inequality Form:
a<22
Interval Notation: (−∞,22)
its a very long question to ask
Answer:
tell me bro i will answer the question
b. the results from both game a and game c align closely with the theoretical probability of winning those games while the results from game b don't
If g(n) = 3n - 2, then what is the value of g(10)?
24
308
28
4
Answer:
C, 28
Step-by-step explanation:
1) Substitute 10 for n.
2) Multiply 10 by 3. That gives you 30.
3) Subtract 2, and you get 28
:)
Answer:
28
Step-by-step explanation:
just got it right
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSssssssss
if i could get 3 apples, and i got 5 mapples, how much apples do i get?
Answer:
3 Apples and 5 Mapples!!!
Step-by-step explanation:
Answer:
you have 8 apples
Step-by-step explanation:
What is 805 x 4 and What is 3,220 divided by 4?
Answer:
805 x 4 = 3,220
3,220 / 4 = 805
Step-by-step explanation:
Its the same thing but backwards!
Stay Safe!
A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.
Answer:
Very low, 2/8 or 1/4.
Step-by-step explanation:
What is the distance, d, between the points (2,5/2) and (8/3,1)?
answer in the simplest radical form.
Answer: Exact Form:
√
97
6
Decimal Form:
1.64147630
Btw that's 97 radical 6
~ zachary
Answer:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Step-by-step explanation:
We have the two points: (2, 5/2) and (8/3, 1).
And we want to find the distance between them.
So, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]
Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:
[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]
Evaluate:
[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]
Square:
[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]
Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:
[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]
Add:
[tex]d=\sqrt{\frac{97}{36}}[/tex]
We can separate the square roots:
[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]
Simplify. So, our distance is:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Why should we learn the limit definition of the derivative when we could just learn shortcut rules for differentiation?
Answer:
Step-by-step explanation:
I think this is a very essential question to ask. While a lot of people want shortcuts to get things done(i used to too, when I was a student), shortcuts doesn't always cut it short. The reason is just as simple as that of any other subject that deals with theory.
Learning the limit definition gives ample knowledge about how the whole derivation works in general. Yes, quite alright, you can get the basic differentiation done when you don't learn that, but as someone who has gone far in calculus, I'd tell you for free, a time will come during computation where you'd get stuck because you never had that prior knowledge of definition.
Further along the line in calculus, you would be doing derivatives where you'd have to apply your knowledge of the definition of limit, and how would you be able get that done if you hadn't already learnt it?
Exactly!
the difference between half of a number and 9 is 17
Answer:
4
Step-by-step explanation:
9 divided by 2 is 4.5 17 divided by 2 is 8.5 subtract the two to get 4
Answer: The difference between 26 and 9 is 17
help I have no clue what this is
Answer:1/20
Step-by-step explanation:mark me as brainliest
In the triangles shown below, AABC is similar to AXYZ. Given that ZA = 50° and
ZB = 100°, what is the measurement of ZZ? * plz help
Answer:
B. 30°
Step-by-step explanation:
Given in the question that triangle ABC and similar to triangle XYZ where ∠A = 50° ,∠B=100° then its true to say by AA { Angle-Angle} similarity ;
if ΔABC ≅ ΔXYZ then
∠A =∠X
∠B = ∠ Y
hence ; ∠C = ∠Z
Finding angle ∠C as ;
180°-{100+50}°
180°-150° = 30°
So angle ∠Z = 30°
...............................................................
Answer:
Someone got my answer deleted
Step-by-step explanation:
three out of four students in school have a least one sibling. If there are 300 students in your school, how many would have a least one sibling
25 I think.... I am sorry if its wrong
Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7? Hint: Let A denote the event of a sum of 3. Let B denote the event of no sum of 3 or 7. Now, begin to list the out the sample space in terms of A and B - it should be recognizable in the lecture notes. Hint: A useful infinite series result when |z| < 1: 1 + z + z 2 + z 3 + z 4 + . . . = 1 1 − z
Rename 8 thousand 6 hundred
Answer:
8,600 should be the answer.
answer this question for points, it could be anything
Answer:
brihuh monment
Step-by-step explanation:
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answer:
1kg apple for 0.25 rupees
Step-by-step explanation:
Hope this helps!!
Find the value of x.
Answer:
x=24
Step-by-step explanation:
The straight line is 180 degrees so 180-35=145.
Than do 145=6x+1 and find x
144=6x
144/6=24
x=24
Answer:
x=24
Step-by-step explanation:
180-35=145
6x+1=145
6x=144
x=24
ABC was translated Find A
Answer:
A' (2, -1)
Explanation:
The object's point A has a coordinate of (-2, 4).
The translation rule states that you:
- Add the x coordinate by 4 (x + 4)
- Subtract the y coordinate by 5 (y - 5)
Substitute the rule to point A's coordinate (x = -2 and y = 4).
(-2 + 4 , 4 - 5) = (2, -1)
Notice that the image's point A has moved four steps to the right and down by five steps from the original object.
A phone has 5/8 of its battery charge left. If the battery loses 3/8 of its full charge every hour, how many hours will the battery last?PLSSSS HURRYY
Answer:
An hour and 45 minutes
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The battery charge left in the phone = 5/8 of its battery
The battery loses every hour = 3/8 of its battery
The number of hours the battery will last if it loses 3/8 of its battery every hour:
= 5/8 ÷3/8
= 5/8 x 8/3
= 5/3
= 1.67 hours
This means,
1 hour = 60 minutes
Multiply 1.67 on both sides.
1.67 hours = 1.67 x 60 minutes
1.67 hours = 100.2 minutes
1.67 hours = 1 hour 40.2 minutes
Thus,
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
Learn more about fractions here:
https://brainly.com/question/24370499
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