Answer:
The true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below
[tex] 34854.3 < \mu < 35 745.7[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is [tex]\= x = \$ 35300[/tex]
The population standard deviation is [tex]\sigma = \$ 1800[/tex]
From the question we are told the confidence level is 92% , hence the level of significance is
[tex]\alpha = (100 - 92 ) \%[/tex]
=> [tex]\alpha = 0.08[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.751 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.751 * \frac{1800 }{\sqrt{50} }[/tex]
=> [tex]E = 445.7 [/tex]
Generally 92% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 35 300 -445.7 < \mu < 35 300 + 445.7[/tex]
=> [tex] 34854.3 < \mu < 35 745.7[/tex]
So the true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval
The book store earned x dollars in profit. Last week, the total profit
increased by 5%. Which expression represents the book store's total
increase in profit?
Answer:
x + 0.05x
Step-by-step explanation:
Given
Earnings earned by the bookstore = x
percentage increase = 5%
Increment = 5% of x
Increment = 0.05x
book store's total increase in profit = Original earning + increment
book store's total increase in profit x + 0.05x
Hence the expression that represents the book store's total increase in profit is x + 0.05x
6. Why is it helpful to have both lines on the same graph? (2 points)
Answer:Line graphs can give a quick analysis of data. You're able to quickly tell the range, minimum/maximum, as well as if there are any gaps or clusters. This also means that it can easily observe changes over a certain period of time. When drawing them, you're able to use exact values from your data.
Step-by-step explanation:
What is 2×+y=9 in the y=mx+b form?
Answer: y=-2x+9
Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9
g If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that: Both hypotheses H0 and H1 can be accepted The null hypothesis H0 cannot be rejected The null hypothesis H0 can be rejected The research hypothesis H1 can be accepted
Complete Question
If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that:
A
Both hypotheses H0 and H1 can be accepted
B
The null hypothesis H0 cannot be rejected
C
The null hypothesis H0 can be rejected
D
The research hypothesis H1 can be accepted
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The p-value is [tex]p-value = 0.07[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally given that it is a one tail test then the possible value of
The null hypothesis is [tex]H_o : \mu = x[/tex]
Here [tex]\mu[/tex] is the mean and x is the value
the possible values of the alternative hypothesis is [tex]\mu > x \ \ or \ \ \mu < x[/tex]
Now from the value given we see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
Find the slope of the line going through the points (-4, 3) and (-1,-6)
Answer:
[tex] \big \: slope = - 3[/tex]
Step-by-step explanation:
[tex] \boxed {slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }[/tex]
HERE,
[tex]slope = \frac{( - 6) - 3}{( - 1) - ( - 4)} [/tex]
[tex] = \frac{ - 9}{3} [/tex]
[tex] = - 3[/tex]
Therefore,
[tex] \green{\boxed { \red{ \bold{slope \: = - 3}}}}[/tex]
How would you wright this as a decimal number ?
Hi there! :)
[tex]\large\boxed{-8.4}[/tex]
We can calculate the decimal by converting the fraction to an improper fraction, then dividing.
Derive the inpromper fraction by:
[tex]a\frac{b}{c} = \frac{c * a + b}{c}[/tex]
In this instance:
[tex]-8\frac{2}{5} = \frac{-8* 5 -2 }{5} = \frac{-42}{5}[/tex]
Divide:
-42 ÷ 5 = -8.4.
write an equation for the line in slope-intercept form
Answer:
Mx+b=y
Step-by-step explanation:
If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance, what are the alternative hypothesis and rejection region?
Answer:
The alternative hypothesis is
[tex]H_a : p_1 \ne \ p_2[/tex]
The rejection region is the region outside the interval
[tex]-1.96 < z_{critical} < 1.96[/tex]
Step-by-step explanation:
From the question we are told that
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 \ne \ p_2[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Hence the rejection region is the region outside the interval [tex]-1.96 < z_{critical} < 1.96[/tex]
The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex] .
And the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .
Given that,
If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance.
We have to determine,
What is the alternative hypothesis and rejection region?
According to the question,
The significance level is, [tex]\alpha = 5 \ percent = 0.05[/tex]
The null hypothesis is [tex]H_0 ; P_1 = P_2[/tex]
The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex]
In the normal distribution table, the critical value [tex]\dfrac{\alpha}{2}[/tex] is,
[tex]Z _\frac{\alpha}{2} = 1.96[/tex]
Hence, the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .
To know more about the Hypothesis click the link given below.
https://brainly.com/question/21620502
Use the order of operations to simplify 8.6 - 4.2+ 3/10
Answer:
4.7
Step-by-step explanation:
Answer:
if you are on the exam on A PE X, the answer is 9/10
Step-by-step explanation:
hope this helps!!
:)
A survey showed that 70% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 7 adults are randomly selected, find the probability that exactly 2 of them need correction for their eyesight.
Answer:
0.0250047
Step-by-step explanation:
Given that :
Proportion who need correction glasses = 70%
Number of trials = 7
Probability that exactly 2 needs correction glasses :
Using a binomial probability formula :
P(success) = p = proportion who need glasses = 0.7
P(x =x) = nCr * p^x * (1 - p)^(n - x)
P(x = 2) = 7C2 * 0.7^2 * 0.3^(7 - 2)
P(x = 2) = 7C2 * 0.7^2 * 0.3^5
P(x = 2) = 21 * 0.49 * 0.00243
P(x = 2) = 0.0250047
What is the equation of the vertical line that passes through the point (6, -2)
Find the percent of change for 25 is decreased to 10.
Answer:
60%
Step-by-step explanation:
25-10=15
15÷25=0.6
0.6×100=60
The 5-gallon bucket of paint that Kenzie bought from the hardware store weighs 55 pounds. CJ is buying 1 gallon of paint.
How many pounds does 1 gallon of paint weigh?
Answer:
n
Step-by-step explanation:
5.
3x3 + 2y2 - xy for x = 2 and y = 3
Answer:
21
Step-by-step explanation:
Which equation represents the rental cost of the company with the least expensive hourly rate?
Answer:
c. y = 2x + 4
Step-by-step explanation:
Hope you got it.
I AM WILLING TO PAY IF YOU HELP ME WITH MY ASSIGNMENT! Pls dm me if you know how to do this and have paypal
Answer:
55860
Step-by-step explanation:
This way super dupper easy
Answer:
V is approximately 11.81
Step-by-step explanation:
We use the sine rule
V/sin 98 = 10/sin 57
Cross multiply
V * sin 57 = 9.90268068
V = 9.90268068/sin 57
V= 11.80759295
V ~ 11.81
EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $18,100, find the discount and the new price.
Answer:
The discounted price would be 16290 as 18100 times 10 over 100 is 1810 so subtract that from 18100 and you get 16290
Step-by-step explanation:
Also if you could please check out our you tube channel called Evimero Academy
Compute the sum of all nine 2-digit numbers with a ones digit of 6.
A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?
Answer:
it would take 4 grams. I hope this helps
Answer:
75 grams! hope this helps :3
PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!
Answer:
b
Step-by-step explanation:
I need help on this
3. Jada can bake 12 cookies in 20 minutes. How many cookies can she bake 1
in 6 hours? HINT: 20 minutes and 6 hours are not equal, the hours MUST be
turned to minutes.
Answer:
she can bake 216 cookies in 360 minutes
Step-by-step explanation:
Answer:
Jada can bake 216 cookies in 6 hours.
Step-by-step explanation:
We need to know how many she can cook in 6 hours.
She currently bakes 12 every 20 minutes
we know that 1 hour is 60 minutes.
So we multiply 12 by 3 to get 36 because we know 60 minutes divided by 20 minutes is 3 minutes.
Now we know that she bakes 36 cookies in 1 hour
But it asked for 6 hours so simple multiplication:
36 cookies per 1 hour X 6 hours
36X6= 216
Some plz help it’s for all of them
Answer:
a is 0,4
Step-by-step explanation:
Answer:
A) 4,0
G) 1,4
Q) 0,-4
N) -4,-3
Muffins are sold in packages of 18. Select the expressions that can represent the total number of muffins in p packages of muffins.
A. 18 + p
B. 18 × p
C. 18 – p
D. 18 ÷ p
E. 18p
Rosalita is making chocolate chip cookies. She needs 20 ounces of
chocolate chips. She has
2 1/4 pounds of chocolate chips. There are 16 ounces in 1 pound. How
many ounces of chocolate chips will Rosalita have left after she makes her
cookies?
The measures of the angles of a triangle are show In figures below Solve for x.ASAP
pls show work also!!
1) y + 6 = 20
2) X-10=12
3) 12 + 2 =15
4) 2+ n=16
5) a +4=14
6) m-5= 10
7) 4+b=30
8) 10+ c = 25
9) X-60= 20
10) 9-16= 4
11) x-15= 20
12) w+14=18
13) r-18=27
14) 13+k= 25
15) f-16 = 34
Answer:
1)y=20-6=14
2)X=12+10=22
3)answer stated
4)n=14
5)10
6)15
7)26
8)15
9)80
10)stated
11)35
12)4
13)45
14)12
15)50
1. y + 6 = 20
subtract 6 from both sides
y = 14
2. x - 10 = 12
add 10 to both sides
x = 22
3. 12 + 2 = 15
false
4. 2 + n = 16
subtract 2 from both sides
n = 14
5. a + 4 = 14
subtract 4 from both sides
a = 10
6. m - 5 = 10
add 5 to both sides
m = 15
7. 4 + b = 30
subtract 4 from both sides
b = 26
8. 10 + c = 25
subtract 10 from both sides
c = 15
9. x - 60 = 20
add 60 to both sides
x = 80
10. 9 - 16 = 4
false
11. x - 15 = 20
add 15 to both sides
x = 35
12. w + 14 = 18
subtract 14 from both sides
w = 4
13. r - 18 = 27
add 18 to both sides
r = 45
14. 13 + k = 25
subtract 13 from both sides
k = 12
15. f - 16 = 34
add 16 to both sides
f = 50
I think you had some typos in there but I think this should get you started, you should be able to figure out the rest
4x + 2y = 32
5x - 2y = 31
Answer:
Step-by-step explanation:
-8x-y=16;3x-y=5 | | x-y=11;2x+y=4 | | -8x-8=-40y;50y-10=10x | | 0=-11y+8x+33;-1+4/9x+1/3y=0 | | 0=-16+4x+4y;0=28-7y+7x | | 3x-y=9;-3x+y=-9 | | -4x+y=8;4x-y=8 | | x=2y-8;-2x+3y=14 | | y=2x;y=2x-3 | | x-3y=2;7x+y=36 | | 2x+5y=16;2x+3y=8 | | 2c+5p=16;2c+3p=8 | | x/5;7/4 | | -(x-2)=3(y+1);2x+3=4y-1 | | 4x-12y=17;2x+6y=1 | | 1A+4C=85;3A+2C=105 | | 2x-11y=7;3x-9y=7 | | 40-2x;X=3 | | x+y=220;2x+4y=520 | | 3p+2b=29;5p+3b=47.50 | | 4x+2y=23.50;2x+4y=18.50 | | t=2r+3;5r-4t=6 | | x+y=5157.50;y-x=917.50 | | x+y=177;x=97 | | x+y=55;x+10=181 | | x+y=10;x-y=4 | | 1/5x+1/3y=14/15;1/5x+4y=78/5 | | 8x+16y=3520;-8x-8y=2560 | | 1/25x-1/100y=7/5;1/4x+4/25y=66/5 | | -2x+5y=5;-4x+10y=0 | | 1/2x+1/3y=-5/3;1/2x+4y=2 |
| 3x+2y=-3;x=21-8y | | 5x-y=27;x+y=9 | | 36x-4y=16;y=9x+4 | | -15x-10y=1;15y=1+10x | | 3x+7y=9;x=2-2y | | 2x+y=8;y=2x | | x-2y=10;x | | x+y=2;x-y=2 | | 7x-y=27;9x-4y=3 | | x+y=480;x-y=400 | | 3x+2y=78.39;2x+3y=74.61 | | 11x+15y=6912;-11x-11y=-6336 | | 1.6x+1.6y=160;x-y=10 | | y=-1/2x-5;6x-2y=24 | | x+y=4;y-x=4 | | 5x=22-y;7x=35+2y | | 3x=12+2y;-6/5x+y=-9/5 | | 3x+2y=0;12x+2=6y | | 2x-5y=-9;5x+2y=50 | | x+y=4;x+y=-2 | | 7x-y=41;x+5y=47 | | 2x-y=7;9y=2x-31 | | x+y=11;6x-y=10 | | 0.1x+0.5y=-0.8;0.8x-0.6y=7.4 | | 1/3x+1/2y=1/6;1/3x+2y=5/3 | | 16x-10y=4;8x=5y+2 | | 15x-20y=7;10y=-3+5x | | x=5y-5;-2x+10y=10 | | 5x-27=-y;4x-y=0 | | 5x-27=-1y;4x-1y=0 | | 4x+5y=3;x=3-2y | | 6x+2y=10;12x+4y=21 | | x+y=5;3x+2y=10 | | -12x+14z=-14;-14x-14z=98 |
helpppppppp meeeeeeee
Answer:A
Step-by-step explanation: