Solution :
Given :
[tex]$\mu = 6883$[/tex]
[tex]$s=2518$[/tex]
n = 40
[tex]$\overline x = 5980$[/tex]
Therefore, determining the null hypothesis and alternate hypothesis is :
[tex]$H_0: \mu = 6883$[/tex]
[tex]$H_a: \mu < 6883$[/tex]
The value of the test statistics is :
[tex]$t=\frac{\overline x - \mu}{s/\sqrt n}$[/tex]
[tex]$t=\frac{5980 - 6883}{2518/\sqrt 40}$[/tex]
[tex]$t \approx -2.27$[/tex]
So, df = n - 1
= 40 - 1
= 39
∴ 0.01 < P < 0.025
If the P value is less than α = 0.03, we reject the null hypothesis. Therefore, we conclude that mean annual Medicare spending in Indianapolis is lower than the national mean.
Using the value of [tex]$\alpha = 0.03$[/tex], the critical value of for the test statistics is 2.17
There we reject the null hypothesis. And thus we conclude that the mean annual Medicare spending in Indianapolis is lower than the national mean.
What is the arc measure of major arc ABC in degrees?
Answer:
123847323247647525547824817703412
A triangular prism has a Volume of 375 cubic units. Find its Volume if all of
its dimensions were reduced to one-fifth their original length?
V=
cubic units.
Shamus owes his parents $162. He pays them 60% of the $45 he earns as a soccer referee each week. How many weeks will it take Shamus to pay back all of the money he owes his parents?
60% of 45 would be 27
He pays his parents $27 each week
Divide 162 and 27
162/27=6
It will take 6 weeks for him to pay back his parents
PLS HELP ASAP (20 points)
A group of friends are going to a local pizzeria. One medium pizza costs $12.50. The friends spent less than $55. They purchased two pitchers of soda for a total of $8.99. How many medium pizzas could the group purchase? Write and solve an inequality. Show your work.
Answer:
whats the answer? And equation?
Step-by-step explanation:
The height , in feet, windowsills in a high-rise building is represented by this sequence: 3,15,27,39,...
Answer:
Each windowsill goes up by a factor of 12 feet, so the next numbers are 51, 63, 75(feet) and so forth
Step-by-step explanation:
3, 15, 27, 39.....
3+12= 15
15+12= 27
27+12= 39
39+12= 51
51+12= 63
63+ 12= 75
What is the
average rate of change between:
x = 1 and x = 2?
x = 2 and x = 3?
X = 3 and x = 4?
What is 72% of 83?
115.3
59.8
190
5100
Answer:
59.8
Step-by-step explanation:
Can I get some help on this can’t find any of the answers anywhere
Answer:
3(9)+20=47
Step-by-step explanation:
47 inches after 9 weeks
Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams
Answer:
Venn diagrams
Explanation:
A Venn diagram is a widely used diagram style that shows the logical relation between sets.
A right triangle has a leg of 12 cm and a hypotenuse of 19 cm.
What is the length of the other leg?
Round to the nearest tenth.
-----------------------------------------
7.0 cm
14.7 cm
22.5 cm
217.0 cm
Answer:
14.7 cm
Step-by-step explanation:
Using Pythagoras Theorem,
The length of the other leg
[tex] = \sqrt{ {19}^{2} - {12}^{2} } [/tex]
[tex] = \sqrt{217} [/tex]
[tex] = 14.730919...[/tex]
= 14.7 cm (rounded to the nearest tenth)
Use linear regression to find a
function that fits the following
points.
(0,5), (2,-13)
Answer:
Function that fits the points [tex](0,5),\,(2,-13)[/tex] is given by [tex]x+9y=45[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)=(0,5),\,(x_2,y_2)=(2,-13)[/tex]
Slope of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given by [tex]m=\frac{x_2-x_1}{y_2-y_1}[/tex]
[tex]=\frac{2-0}{-13-5}[/tex]
[tex]=\frac{2}{-18}[/tex]
[tex]=\frac{-1}{9}[/tex]
Equation of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given as follows:
[tex]y-y_1=m (x-x_1)[/tex]
[tex]y-5=\frac{-1}{9}(x-0)\\y-5=\frac{-1}{9}x\\9(y-5)=-x\\9y-45=-x\\x+9y=45[/tex]
Find the total surface area of a sphere radius being 7cm
Answer:
A≈615.75m²
Step-by-step explanation:
Solution
A=4πr2=4·π·72≈615.75216m²
Hope this helped!!!
Please answer ALL and if you do i will give brainliest. URGENT
Answer:
16: 5.934 radians
17: 300 degrees
18: 4.188 radians
19: 130 degrees
if a=1 and b=2 what is the value of a²+b²?
Answer:
1^2+2^2=5
Step-by-step explanation:
Answer is 5..
plzzz i’ll give brainliest
Answer:
5.83
Step-by-step explanation:
Using Pythagoras Theorem,
[tex] \sqrt{ {5}^{2} + {3}^{2} } [/tex]
[tex] = \sqrt{34} [/tex]
[tex] = 5.83095...[/tex]
= 5.83 units (rounded to the nearest hundredth) +
Need help fast will give brainiest
Answers:
[tex]1.\ \angle GMT[/tex]
[tex]2.\ GT\ and\ TM[/tex]
[tex]3.\ \angle MGT[/tex]
[tex]4.\ SAS[/tex]
[tex]5.\ SAS[/tex]
[tex]6.\ SSS[/tex]
In 2 minutes, you are able to walk 2,500 feet. The unit rate of feet per minute is
Answer:
you are able to walk 1250 feet per min
Step-by-step explanation:
2500 divided by 2 is 1250 so that would mean 1Min=1250ft
What is its domain?
What is its range?
Write the answer in interval notation.
Answers:
Domain = [-3, 3]
Range = [-1, 2]
=============================================
Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that [tex]-3 \le x \le 3[/tex] meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
------------
The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is [tex]-1 \le y \le 2[/tex] which converts to the interval notation of [-1, 2]
find the area of the sector (shaded part). Round to the nearest hundredth!
No links!!
Answer:
~183.78
Step-by-step explanation:
A = pi 9² ≈254.47
260/360=13/18
254.47/18×13≈183.78
The amount of time (in minutes per day) spent on social media for a sample of 10 teens has a mean of 186.7 and a sample standard deviation of 19.99. An independent sample of 8 older adults has a mean of 93.5 minutes with a sample standard deviation of 32.01. Assume that the time spent on social media is approximately normally distributed for each group. a) Determine the value of the test statistic to test H subscript 0 colon space mu subscript t e e n end subscript equals mu subscript o l d e r end subscript against H subscript A colon space mu subscript t e e n end subscript not equal to mu subscript o l d e r end subscript. b) Determine the p-value or critical value for this test at alpha equals 0.05. c) What is your conclusion about whether the two age groups spend the same average amount of time on social media
Which of the following represents a coefficient from the expression given?
5x - 21 + x2
Answer:
1 or 5
Step-by-step explanation:
A coefficient is "a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy)".
So, in this case, the coefficient of 5x would be 5.
The coefficient of x^2 would be 1.
Hope this helps!
1.
Isha wants to paint her attic. It takes 1 gallon of paint to paint 1 square foot of the surface. How many gallons of paint does Isha need to paint the wa
in the attic shown below?
8 feet
15 feet
5 feet
6 feet
Answer:
8
Step-by-step explanation:
Need answers ASAP please
Answer:
angle classification is acute
side classification is equilateral
Step-by-step explanation:
anyone know who Howard is ?
Answer:
Howard stark or Howard the duck?
10$ minus 1.25$ minus 3.18$
Answer:
Hello! answer: $5.57
Step-by-step explanation:
10.00 - 1.25 = 8.75
8.75 - 3.18 = 5.57
Hope that helps
Answer and Step-by-step explanation:
10 dollars - 1.25 dollars - 3.18 dollars =
$8.75 - $3.18 = $5.57
#teamtrees #PAW (Plant And Water)
HELP WHAT COLOR DO I PICJ!!
Answer:
GREEN
Step-by-step explanation:
because 0.11 per oz is better than 0.12 per oz
What percent of 55 is 34?
Answer: 61,81%
Step-by-step explanation:
34 ÷ 55 = 0,61(81) = 61,81%
A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, the agency believes that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days.
Required:
At the 0.10 significance level, has there been an increase in selling time?
Answer:
The right answer is "1.818".
Step-by-step explanation:
The given values are:
a = 0.1
[tex]\bar{x} = 94[/tex]
[tex]\mu = 90[/tex]
Now,
The test statistic will be:
⇒ [tex]t=\frac{\bar{x}-\mu}{\frac{s}{vn} }[/tex]
On substituting the given values, we get
⇒ [tex]=\frac{94-90}{\frac{22}{10} }[/tex]
⇒ [tex]=\frac{4}{2.2}[/tex]
⇒ [tex]=1.818[/tex]
What is the sales tax
On a camera priced at $110 if the sales tax rate is 6.1%
WILL GIVE BRAINKISR
X
X
X
Answer:
The sales tax would be $6.71 :)
Step-by-step explanation:
110 x 0.061 = 6.71
116.71
Step-by-step explanation:
if the tax rate is 6.1 that wiild equal 6.71 then you would add 6.71 to 110 which the answer would be 116.71
Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their responses are summarized in the following table.
No car or one car Two or more cars
Homeowner
25
90
Not a homeowner
45
90
(a) what percentage of the families are homeowners?
(b) What percentage of the familles have two or more cars?
х
S
?
(b) 1%
Explanation
Check
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Answer:
A = 46%
B = 72%
Step-by-step explanation: