Answer:
RM1,600
Step-by-step explanation:
2000 * 0.20= 400
2000-400= 1600
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
HELP FAST PLS I’ll mark u brainliest
Answer:
about 20 cents
Step-by-step explanation:
#Shop A
Pack of 10pens=£2.30Pack of 70pens:-
[tex]\\ \sf\longmapsto 7(2.30)=16.10[/tex]
#2
Pack of 5=1.60£Pack of 70
[tex]\\ \sf\longmapsto 14(1.60)=20.80[/tex]
But you get half price
20.80/2=10.40Difference:-
[tex]\\ \sf\longmapsto 16.10-10.40=5.70\£[/tex]
A circle has diameter 11 cm
Pythagoras theorem
Please answer will mark BRAINELIST:)
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answer:
You told me to resolve this question
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:
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.
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
y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence relation that the coefficients must satisfy
Let
[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots[/tex]
Differentiating twice gives
[tex]\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots[/tex]
[tex]\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n[/tex]
When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.
Substitute these into the given differential equation:
[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0[/tex]
Then the coefficients in the power series solution are governed by the recurrence relation,
[tex]\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}[/tex]
Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.
• If n is even, then n = 2k for some integer k ≥ 0. Then
[tex]k=0 \implies n=0 \implies a_0 = a_0[/tex]
[tex]k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}[/tex]
[tex]k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}[/tex]
[tex]k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]
It should be easy enough to see that
[tex]a_{n=2k} = \dfrac{a_0}{(2k)!}[/tex]
• If n is odd, then n = 2k + 1 for some k ≥ 0. Then
[tex]k = 0 \implies n=1 \implies a_1 = a_1[/tex]
[tex]k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}[/tex]
[tex]k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}[/tex]
[tex]k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}[/tex]
so that
[tex]a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}[/tex]
So, the overall series solution is
[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)[/tex]
[tex]\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}[/tex]
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
In a certain game, there are only two ways to score points; one way is worth 3 points, and the other is worth 5 points. If Tamsin's total score is 61, which of the following could be the number of 3-point scores that Tamsin had?
Answer:
20 three-point scores
61/3=20 R1
Answer:
7
Step-by-step explanation:
61 divided by 8 = 7 remainder 5
you can do 7 3's and 7 5's which would make 7x3 = 21 + 7 x 5 = 35 21 + 35 = 56
61 - 56 = 5 (add 1 to the amount of 5's)
7 3's and 8 5's
There are 6 equally sized slices in a pizza. If Ken eats 5 of the slices,
what percent of the pizza has he eaten? Show your work.
Answer:
Step-by-step explanation:
5 / 6 = 0.83333333...
0.833333...•100 = 83.333333...
83.3%
Answer:
You can do this type of questions with inverse proportion.
_
%83,3
plss do the working
Answer:
1386
Step-by-step explanation:
V=πr²*h
V=22/7*7²*9
V=1386
Which expression is NOT equal to 729?
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36
Answer:
6^3
Step-by-step explanation:
3 × 3 × 3 × 3 × 3 × 3=729
6^3=216
3 × 3 × 3 × 3 × 3 × 3=729
3^6=729
Hope this helps :)
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36
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
-2 (x+5) = 4
use the distributive property to solve the equation
Please help me answer it please no links or you will be reported
Answer:
what answer
Step-by-step explanation:
?????????????
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]
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
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.
5. 3 out of 750 light bulbs is what percent?
Answer:
0.00706666666
Step-by-step explanation:
Write the equation in point slope form of the perpendicular bisector of A(5,-8) and b(-3,1) 
Answer:
chu papi
Step-by-step explanation:
1.What is m + 5n where m = 1 and n = 5?
A. 26
B. 52
C. 25
D. 62
ANSWER:____
2.What is 5m + 5n where m = 10 and n = -5?
A. 25
B. 26
C 62
D. 52
ANSWER:____
ADD EXPLANATION IF NECESSARY :)
Answer:
Answer# 1: A. 26
Answer# 2: A. 25
Step-by-step explanation:1. What is m + 5n where m = 1 and n = 5?
Substitute 1 for "m" and 5 for "n":
[tex]\sf (1)+5(5)[/tex]
Multiply 5*5 =25
[tex](1)+25[/tex]
Add :
[tex]\sf 26[/tex]
____________________
2. What is 5m + 5n where m = 10 and n = -5?
Substitute 10 for "m" and -5 for "n".
[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]
Multiply 5 * 10= 50
[tex]\sf 50+5\left(-5\right)[/tex]
Multiply 5 * -5 = -25
[tex]\sf 50-25[/tex]
Subtract:
[tex]\sf 25[/tex]
___________________________________
Find the unknown angle in the figure
Answer:
Angle 145 degrees
Step-by-step explanation:
Hope it can help you lovelots
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
f(x) = x^3 + 3x^2
What would the graph look like?
Answer: the answer is in the attachment.
Answer:
Hope this helps :)
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
Write an equation for the sentence.
Four times a number less 10 is equal to 16 ?
Answer:
four times a number less 10 is equall to 16 ia not
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.
At gym A is 76.50 for 8.5 hours. At gym B cost is 10.50 for 3/4 hours which plan of offers the best deal
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.
