Answer: 9 (7 + 9)
Step-by-step explanation:
63 = 9 * 7 and 81 = 9 * 9
A survey recently reported that the mean national annual expenditure for inpatient and outpatient services of all persons over 64 years of age was $5,423 with a standard deviation of $979. A random sample of 352 persons over age 64 living in Sudbury had an average expense of $5,516. We want to test whether the mean inpatient and outpatient expense of all Sudbury residents over age 64 is higher than the national average of $5,423. Calculate the P-value for this test.
Using the z-distribution, it is found that the p-value for this test is of 0.0375.
At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:
[tex]H_0: \mu = 5423[/tex]
At the alternative hypothesis, it is tested if it is higher, hence:
[tex]H_1: \mu > 5423[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}[/tex]
[tex]z = 1.78[/tex]
The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.
Looking at the z-table, z = 1.78 has a p-value of 0.9625.1 - 0.9625 = 0.0375
Hence, the p-value for this test is of 0.0375.
A similar problem is given at https://brainly.com/question/25549474
Multiply 3 by 25% of 40.
[tex]3 \times 25\% \times 40 = 3 \times \dfrac{25}{100} \times 40 = 3 \times 10 =30[/tex]
The value of the numerical expression 3 × 25% × 40 will be 30.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 3 × 25% × 40
Simplify the expression, then the value of the expression will be given as,
⇒ 3 × 25% × 40
⇒ 3 × 0.25 × 40
⇒ 30
The value of the numerical expression 3 × 25% × 40 will be 30.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
i need a lot of help from the smartest people now right now
Answer:
K) I, II, and III
Step-by-step explanation:
Given the quadratic equation in standard form, h = -at² + bt + c, where h is the height or the projectile of a baseball that changes over time, t. In the given quadratic equation, c represents the constant term. Altering the constant term, c, affects the h-intercept, the maximum value of h, and the t-intercept of the quadratic equation.
I. The h-interceptThe h-intercept is the value of the height, h, when t = 0. This means that setting t = 0 will leave you with the value of the constant term. In other words:
Set t = 0:
h = -at² + bt + c
h = -a(0)² + b(0) + c
h = -a(0) + 0 + c
h = 0 + c
h = c
Therefore, the value of the h-intercept is the value of c.
Hence, altering the value of c will also change the value of the h-intercept.
II. The maximum value of hThe maximum value of h occurs at the vertex, (t, h ). Changing the value of c affects the equation, especially the maximum value of h. To find the value of the t-coordinate of the vertex, use the following formula:
t = -b/2a
The value of the t-coordinate will then be substituted into the equation to find its corresponding h-coordinate. Thus, changing the value of c affects the corresponding h-coordinate of the vertex because you'll have to add the constant term into the rest of the terms within the equation. Therefore, altering the value of c affects the maximum value of h.
III. The t-interceptThe t-intercept is the point on the graph where it crosses the t-axis, and is also the value of t when h = 0. The t-intercept is the zero or the solution to the given equation. To find the t-intercept, set h = 0, and solve for the value of t. Solving for the value of t includes the addition of the constant term, c, with the rest of the terms in the equation. Therefore, altering the value of c also affects the t-intercept.
Therefore, the correct answer is Option K: I, II, and III.
20. True or False
When you multiply or divide
by a negative number, you
flip the sign
Answer:
That is true
You must flip the sign when you are multiplying or dividing by a negative number
what is the slope of the line of (8,10) (-7,14)
The answer is : -4/15
Answer:
-4/15
Step-by-step explanation:
slope is simply the rise over the run which is the change in y over the change in x.
( (y_2) - (y_1) ) / ( (x_2) - (x_1) )
if you plug in your variables that gives you
(14-10) / (-7-8)
which equals
4/-15
- (4/15)
Please verify how [tex]\frac{1-cos(x)}{sin(x)} =\frac{sin(x)}{1+cos(x)}[/tex]
Answer/Step-by-step explanation:
[tex]\frac{1-\cos \left(x\right)}{\sin \left(x\right)}=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}[/tex]
When you have an equation like this, you can start from either side. So, let us start from the left side.
[tex]\underline{\mathrm{Left\:side:}} \quad\frac{1-\cos \left(x\right)}{\sin \left(x\right)}[/tex]
[tex]\sf{Rewrite\: using \:Trig \:identities=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}}\\\\\mathrm{Therefore,\: it \:is \:true}[/tex]
I got brainly for my kid , it’s on my phone and she is on my family share How can she use it on her phone?
Answer:
The only way she was able to use it if she knew your email and linked you to the account or she had some sort of permissions to get brainly on her device.
Find the unknown angle in the figure
Answer:
Angle 145 degrees
Step-by-step explanation:
Hope it can help you lovelots
1, 7, 13, 19, 25
Find the 20th linear term
Answer:
I think that the answer to your question is 115
Plz plz plz plz help me do this will give brainleiest.
Answer:
50 in²
Step-by-step explanation:
The area of the rectangle = 8 × 4 = 32 in²
area of Δ NPO = [tex]\frac{1}{2}[/tex] × PO × PN = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 in² ( PN = RM )
area of Δ PQR = [tex]\frac{1}{2}[/tex] × RP × 3 = [tex]\frac{1}{2}[/tex] × 8 × 3 = 12 in² ( RP = MN )
area of MNOPQR = 32 + 6 + 12 = 50 in²
Please take a look at the picture
Answer:
A) -3/-11
Step-by-step explanation:
-3/-11-3/11
-3/-11
Reduce the fraction with -1.
3/11
Hope this help :)
For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread. Which expression below can be used to show the amount of raisin bread eaten by the student council members?
Answer:
proportion of ratio will be used
Answer:
C. 1 4/10 + 9/10 + 6/10
got it right
How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.
What are the zeros of the function shown in the graph
Answer:
(-4, 0), (0, 0) and (2, 0)Step-by-step explanation:
Zero's of the function are the points of intersection of the graph with the x-axis.
From the picture we see zeros:
(-4, 0), (0, 0) and (2, 0)Zeros are
[tex]\\ \sf\longmapsto (-4,0)U(0,0)U(2,0)[/tex]
A soccer goalpost is to be made of 40 feet of
Jumber. The school has 27 feet. How much
umber should be purchases?
Answer:
13 more should be purchased.
40-27=13
A suit was marked with a 20% discount.
If the discount is $26.00, what was the original price of the suit?
Answer:
130
Step-by-step explanation:
If the perimeter of an isosceles triangle is
21cm. Find the product of the other two side if the base
side is 9cm
Answer:
6 cm for both sides
Step-by-step explanation:
Abdul has an original recipe for a drink with apple, orange and pineaplle juice.He makes new fruit drinks by making different quantities of the three juices. the table shows the amount of the juice in the recipe and in each juice
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
help me out guys I don't get this ?!
Answer:
B: (-2,-3)
Step-by-step explanation:
The problem basically wants you to find the vertex because that is the turning point of an absolute value graph where the slope goes from negative to positive immediately. B is the best choice because the vertex is translated 2 to the left and 3 down.
Three times eight M equals fourteen. Which of the following equations represents this statement?
Answer:
3x8m= 14 is the equation that matches the description.
Step-by-step explanation:
It is simply the number three, multiplied by eight with the variable m, and is equal to the number 14.
x+3-3= -6
its my quick hot sauce
Solve each proportion 3 = 72 – 7
1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5
In the previous year, at Hub Motors ltd, for a particular model of Mercedes, Nissan and Ford, one could purchase (in million shillings) all three cars for a total of Ksh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price of last year's Mercedes, Use matrix inverse to find the price of each of the three cars last year?
Answer:
Step-by-step explanation:
In 20P9 what does the "20"
represent?
A. Permutation
B. The number of items in the set.
C. The number of objects selected from the set.
Answer:
It is b
Step-by-step explanation: Because only one that makes sense
what is 20% of 30? how would you calculate it? please answer asap
Answer:
Working out 20% of 30
If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.
Step-by-step explanation:
Answer:
6Step-by-step explanation:
what is 20% of 30? how would you calculate it?
30 : 100 * 20 = 6
or
30 * 0.20 = 6
Jake Visits his relatives on Thanksgiving. He first travels to his parents'
place which is 5 miles straight NORTH. He then travels to his grandparents'
which is 5 miles straight WEST from his parent's house. What is the total
distance of Jake's Journey? What is the total displacement of Jake's
Journey?*
Distance 10 Miles: Displacement 10 Mlles
Distance 5 Miles: Displacement 5 miles
Distance 10 miles: Displacement 7.07 miles
Distance 5 miles : Displacement 7.07 miles
Answer:
Distance 10 miles: Displacement 7.07 miles
Step-by-step explanation:
Let's depict Jake's journey on the Cartesian coordinate axis. Let Jake initially be at the point (0 ; 0 ) . Then you can determine how far from the starting point (0; 0) it has moved away (displacement ). According to the Pythagorean theorem , we will find it He walked 10 miles And displacement is found by the Pythagorean theorem
[tex]\bf displacement = \sqrt{5^2+5^2} =\sqrt{50} \approx 7.07m[/tex]
Then the answer is : Distance 10 miles: Displacement 7.07 miles
evaluate the expression when c=-3/4 and x=2/3
c-2x
Answer:
-2.0833333333333333333
Step-by-step explanation:
I used demos scientific
Who is the general information of accounting
Answer:
General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.
If sin A =P then the value of tan thita + sec thita is
i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...
secθ+tanθ=P
⇒(secθ+tanθ)² = P²
⇒sec² θ+tan² θ+2tanθsecθ=P²
⇒2tan²θ + 1 + 2 sinθ/cos θ = P²
⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²
Applying componendo and dividendo
=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1
⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1
=> sinθ = p²-1/ p²+1
The circumference of a circle is 240 meters. What is the approximate
radius of the circle? (Use 3.14 for 7)
A) 9 meters
B) 38 meters
C) 76 meters
D) 153 meters
