Answer:
The test statistic for this test is: z = -2.60, option b.
Step-by-step explanation:
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.
H0: p = 0.50 vs HA : p≠0.50
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
A random sample of 900 13- to 17-year-olds found that 411 had a computer in their room with Internet access.
This means that [tex]n = 900, X = \frac{411}{900} = 0.4567[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4567 - 0.5}{\frac{0.5}{\sqrt{900}}}[/tex]
[tex]z = -2.598[/tex]
The test statistic for this test is: z = -2.60, option b(should be).
WILLL MARK BRAINLIEST IF GOTTEN RIGHT!!!! (CARIRDE)))) HELP GIRL!
Answer:
55°
Step-by-step explanation:
Let the centre of the circle be C
mFG=110 (It's hard to read but I assume thats what the 110 marks)
mFG=<FCG=110
Consider ΔFCG (an isosceles triangle since CF=CG=radius). Angles in a triangle add to 180 and <CFG=<CGF so <CFG=(1/2)(180-110)=(1/2)(70)=35°
<EFG+<CFG=90
<EFG+35=90
<EFG=55°
Which figure has at least one acute angle ,one obtuse angle and one right angle?
Answer: Acute triangle has an acute angle and obtuse triangle equals an obtuse angle.
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST! Mason already has 11 plants in his backyard, and he can also grow 1 plant with every seed
packet he uses. How many seed packets does Mason need to have a total of 20 plants in his
backyard?
Mason needs 9 more seed packets to have a total of 20 plants in his yard.
Simplified:
20-11=9
If X and Y are supplementary angles, then X and Y are: always, sometimes, or never vertical?
Pick one
Answer:
sometimes
Step-by-step explanation:
what are the missing numbers?
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
[tex]10=a(b)^1[/tex] ...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
[tex]20=a(b)^2[/tex] ...(iii)
Dividing (iii) by (ii), we get
[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]
[tex]2=b[/tex]
Putting [tex]b=2[/tex] in (ii), we get
[tex]10=a(2)^1[/tex]
[tex]\dfrac{10}{2}=a[/tex]
[tex]5=a[/tex]
Putting [tex]a=5,b=2[/tex] in (i), we get
[tex]y=5(2)^x[/tex]
The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=108
Step-by-step explanation:
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=180
Step-by-step explanation:
hey its me
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Answer:
The null hypothesis is [tex]H_0: \mu = 4.1[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
how to write 600 108
in words
Answer:
Six Hundred Thousand One Hundred and Eight
hey guys i'm having a rough night and i can't figure out my homework rn i'm just too stress please help
Answer:
4a) Irrational
Step-by-step explanation:
The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.
For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.
14. A boy completes a 100 m circular track race in 5 min. Another boy runs in the same
time
completes the race in 6 minutes. If they start from the same point then after how many
will they meet at the starting point
Find the smallest 3-digit number which is exactly divisible by 5.10 and 20
Answer:
ee
Step-by-step explanation:
find the surface area
Answer:
Surface area of what?
You can ask the question again but also add the pic so that we can help :)
lol find the surface of area what????? i can’t see anything
can someone help with this please its geometry :)
Answer:
Step-by-step explanation:
What is the answer to 129 x 526
129×526
=67,854
it is the correct answer
hope it helps you have a good day please mark me as brain list
Answer:
129×526
= 67854 is your answer
hope it is helpful to you
PLS HELP!! EASY VOLUME AND SURFACE AREA!!!! WORTH 10 PTS AND WILL GIVE BRAINLIEST!!
Answer:
1) 152
Step-by-step explanation:
(Length)l = 10cm
(width) w = 4cm
(height) h = 8 cm
SA= lw+wh+lh
= 10×4+4×8+10×8
=40+32+80
=152
Joe ran 3 miles yesterday and wants to run at least 15 miles this week. Write an inequality that can be used to determine the additional number of days Joe must run this week if each run is 3 miles. Then solve the inequality.
9514 1404 393
Answer:
3 +3d ≥ 15
d ≥ 4
Step-by-step explanation:
Since Joe runs 3 miles for each day he runs, the number of miles he runs in d days is 3d. That, added to the distance he has already run, will total the amount for the week. He wants that to be at least (greater than or equal to) 15 miles:
3 + 3d ≥ 15
__
We can divide by 3 to get ...
1 + d ≥ 5
d ≥ 4 . . . . . . . subtract 1
Joe must run at least 4 additional days this week to run at least 15 miles.
Find d using a trigonometric ratio(no links I can’t click them)
Answer: 38 is your answer hope this helped
plz make brainly
Step-by-step explanation:
The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?
Enter your answer in the box.
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
The z-score of a beetle with a length of 2.38 centimeters is 2.4
Step-by-step explanation:
As we know,
z = (x - µ)/σ
x is the length of the beetle species.
µ is the mean length
σ is the standard deviation
Substituting the given values in above equation, we get
z = (2.38 - 1.9)/0.2
z = 0.48/0.2
z = 2.4
What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?
Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\
Step-by-step explanation:
the circumference of a circle is
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:
1. 5(2a-b)
2.7(3x+y)-(2x -y)
3.(a+4) (a+3)
4.(5x+y) (2x+3y)
5.(m+n) (m-n)
6.(p- 2q) (p-2q)
Answer:
1. 10a - 5b
2. 19x + 8y
3. a2 + 7a + 12
4. 10x2 + 17xy + 3y2
5. m2 - n2
6. p2 - 4pq + 4q2
Help please I’ll give extra points and brainlist
True
______
A closed circuit basically means everything is connected by wires and for this setup every device receives electricity making this true
What is the area of this parallelogram?
h = 2 in.
b = 10 in
Answer:assuming it’s not a 3D object then, 2x10=20
If it is, then do the base 2x10 then times the height
Step-by-step explanation:
Meatball subs used to cost $5.40 at Mike's Sub Shop, but he just increased the price by $0.54.
How much do subs cost now?
Answer:
Step-by-step explanation: $5.40 + $0.54 now equals $5.94
3. Do you UNDERSTAND? Write an expression for the area of
the rectangle.
1
2x4
6x4
The radius of the planet Saturn is 945% of the radius of Earth. What is 945% expressed as a fraction and as a decimal?
PLZ HELP
(don't send link and there no photo)
Answer:
Decimal: 9.45 Fraction: 236.35/25
Step-by-step explanation:
sorry if the fraction one is wrong.
In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers.
Step-by-step explanation:
Let y the number of wrong answers got.
[tex]11( + 4) + ( - 1)y = 40 \\ 44 - y = 40 \\ - y = - 4 \\ y = 4[/tex]
∴ He got 4 wrong answers.
Alex rolls a 6-sided dice ten times.
Here are her scores.
3 2 4 6 3 6 1 2 5 4
Work out the median of her scores.Single line text.
(2 Points)
10.Q10b. Using the data above, work out the mean of her scores.Single line text.
(2 Points)
11.Q10c. Using the data above, work out the range of her scores.Single line text.
(1 Point)
Answer:
Hello Love! The median is simply just the number in the middle so sense we have 2 numbers in the middle our median will be 3 and 6
The mean is when you add up the numebers then divide by how many numbers there are so...
3 + 2 + 4 + 6 + 3 + 6 + 1 + 2 + 5 + 4 = 36 so 36 divided by 10 is 3.6
The range is simply just the biggest number in the sequence subtracted by the smallest number so... 6 - 1 = 5 so 5 would be our range!
Hope this helps you.
Eloise can fertilize her lawn in t hr. What is the rate at which she does this job?
Answer:
1 / t
Step-by-step explanation:
The rate at which a job, chore or a certain task is executed is expressed as the reciprocal of the time taken to complete such task. That is ;
Rate = 1 / time taken
From the scenario above, the time taken = t hours
Then the rate at which work is done can be expressed as :
1 / t
It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100
Answer:
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
Step-by-step explanation:
Given the data in the question;
Number of vehicle owned Number of households
0 20
1 35
2 23
3 or more 22
Total ( n ) 100
so
Null hypothesis H₀ : In this community, vehicle ownership distribution is like that of all U.S household
Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household
Also given that, ∝ = 0.05
Now, we compute the test statistics;
x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]
where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.
so we make our table for chi square test statistics
No. of O[tex]_i[/tex] P E[tex]_i[/tex] (O[tex]_i[/tex] - E[tex]_i[/tex])² (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]
Vehicle (n×P)
owned
0 20 0.087 8.7 127.69 14.677
1 35 0.331 33.1 3.61 0.109
2 23 0.381 38.1 228.01 5.985
3 or more 22 0.201 20.1 3.61 0.180
Total 100 100 20.951
hence, x² = 20.951
Now, degree of freedom df = k - 1 = 4 - 1 = 3
From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05
[tex]x_{0.05, 3[/tex] = 7.815
Decision Rule
Reject H₀ if x² is greater than xₐ².
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets: One solution: x=15. PLEASE ANSWER FAST
Answer:
|x-8| = 7
Step-by-step explanation:
The following equation would make x=15 when solved.
|x-8| = 7
This is because if we substitute 15 for x we would have to subtract 8 from 15 which would give us 7 and the absolute value of 7 is 7 which would ultimately make the equation true.