Answer:
17.791361
Step-by-step explanation:
Hope this helps!
Can I get Braineist Pls?
Answer:
17.791361
You can cross multiply. I am almost sure this is the method. Put the first number over each other. Then multiply the numbers across. Hope this is helpful!
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
4x + y = 16
y = 0.5x -2
Answer:
x = 4, y = 0
Step-by-step explanation:
Please take a look at the picture
Answer:
B) [tex]-\frac{a}{-b}[/tex]
Step-by-step explanation:
The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.
Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.
7. Juanita is painting her house. She can either
buy Brand A paint and a paint roller tray or
a
Brand B paint and a grid for the paint roller. For
how many gallons of paint would the price for
both options be the same? If Juanita needs 15
gallons of paint, which is the better option?
Step-by-step explanation:
brand a is better option why because we have paint and paint roller
If you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
Suppose y is the total cost and x is the gallons cases,
The equations according to the given condition are,
y = 27 x + 3
y = 2x +5
The values obtained after solving the above equation will be (1,30). As a result, 1 gallon of paint cost you $ 30.
For condition 2 Juanita needs 15 gallons of paint, x =15
For A, y = 408
For B, y = 380
The brands A and B cost $408 and $380.So the brand costs Juanita more.
Thus, if you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ5
1. BC=DA
how do i find the reason
Answer:
sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.
what is the sequre of 9?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The square root of 9 is 3.
√9=3
Hope this helps :)
The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences
Step-by-step explanation:
2 = 0.5^x - 4 is the same as
6 = 0.5^x
x is the logarithm of 6 to the base of 0.5.
which is the same as
log(6)/log(0.5) = -2.584962501...
Use distributive property to remove the parentheses. Simplify your answer as much as possible please.
Answer:
28y^3 -35y^5
Step-by-step explanation:
= 7y^3(4) -7y^3(5y^2)
= 28y^3 -35y^5
_____
The applicable rule of exponents is ...
(y^a)(y^b) = y^(a+b)
Write the equation of the line that passes through the point (-3, 6) and is parallel to the line
whose equation is y=1/2x+5?
Please help me
Answer:
[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]
Answer:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the x-axis).Parallel lines always have the same slope (m)1) Determine the slope (m)
[tex]y=\displaystyle\frac{1}{2} x+5[/tex]
From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:
[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
I hope this helps!
What is 2,000/3.67 estimate
Answer:
an estimate would be 2000/4 so it would be 500
Step-by-step explanation:
hope this helped <3
45x7
what is 45x7
cause I dont know anymore
Answer:
315
Step-by-step explanation:
A 480 page book is 2.4 cm thick(not counting the thickness of the covers.). Find the thickness of 380 pages of the book
Set up a proportion:
2.4/480 = x/380
Cross Multiply:
480x = 912
Divide both sides by 480:
x = 1.9
Answer: 1.9 cm thick
what is the value of n in the equation? 2.6 x 10^-2 = (5.2 x 10^7) / (2 x 10^n)
Answer:
-9
Step-by-step explanation:
2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)
2.6×10^-2 = 2.6×10^(7-n)
The mantissas are equal, so we can equate the exponents:
-2 = 7 -n
n = 7 +2 = 9 . . . . . . add n+2
The value of n in the equation is 9.
what is the prime number of 30 to 59
Answer:
the prime numbers between 30 and 59 are 31, 37, 41, 43, 47, 53
In a group of 34 students, 12 study both Art and Biology.
14 study Biology but not Art.
5 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
3
Step-by-step explanation:
12+14+5=31
so therefor 34-31=3
I'm not too sure but, wouldn't you just do the following
12 + 14 + 5 = 31
which would mean 15 students do art??
Will give brainliest if helpful and correct
Answer:
(-2, -1.5)
Step-by-step explanation:
hope this helps!
Simplify the linear expression
-5/8a+2/3-1/4a-5/6
Enter your answer as simplified fractions in the boxes.
Answer:
[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.
What is the answer to
2 3/8 - 1 5/8 =
Answer:
6/8
Step-by-step explanation:
you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8
reduce if you can
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
OY =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8
The cost per ride represents the intercept = $8
The cost per mile represents the slope = $0.35
The slope - intercept form of a linear equation is expressed as :
y = bx + c b = slope ; c = interceptTherefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8
Learn more : https://brainly.com/question/18796573
Is 18 is 25% of 72 true or false
Step by step evidence
Answer:
true
Step-by-step explanation:
25% of 72
25/100 * 72
= 1/4 * 72
= 18
What is the prime factorization of 72?
A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2
Answer:
the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =
Step-by-step explanation:
If M is the midpoint of JK and N is the midpoint of JL, find the value of x.
Answer options:
11
13
9
12
10
Answer:10
Step-by-step explanation:
geomtry plz help 15 points
Answer:
m∠E=57°
Step-by-step explanation:
∠FDE=∠FED=(4x+1)° (base angles of isos triangle)
2(4x+1)+(5x-4)=180 (angle sum of triangle)
8x+2+5x-4=180
13x-2=180
13x=180+2
=182
x=182÷13
=14
Hence, m∠E = (4x+1)°
= [4(14)+1]°
= (56+1)°
= 57°
Answer:
m∠E=57º
Step-by-step explanation:
All angles in a triangle add up to 180º.
The triangle given is an isosceles triangle.
(4x+1)+(4x+1)+(5x-4)=180
Remove parentheses.
4x+1+4x+1+5x-4=180
Collect like terms.
13x+1+1-4=180
Add and subtract.
13x-2=180
Add 2 from both sides of the equation.
13x=182
Divide 13 from both sides of the equation.
x=14
m∠E=(4x+1)º
4x14+1=57º
m∠E=57º
Hope this helps :)
What is the end behavior of a sixth degree polynomial function whose leading coefficient is
negative?
Answer:
both ends tend toward negative infinity
Step-by-step explanation:
The ends of an even-degree polynomial go in the same direction. The sign of that direction matches the sign of the leading coefficient.
Here, the leading coefficient is negative, so ...
y → -∞ when x → ±∞
Andrew invests $9000
What are you asking?
A furniture company charges 0.45 per pound
for shipping
Write an equation for the cost(y) of shipping
x pounds.
Use it to determine the cost of shipping a
12-pound chair.
The cost of the shipping a 12 pound chair is 5.4 all you need to do is 0.45 x 12 =5.4
0.45=Y 5.3=X
Emily is on a Ferris wheel and her height is modeled by the equation
27
y = 30.48 cos2pi/4.25 (x - 2) + 34.27 where x = the number of minutes since the
ride began and y = the height in feet of Emily.
a) What is the radius of the Ferris wheel?
b) How long does it take Emily to make one rotation?
The radius is______
feet and it takes Emily_____
minutes for one rotation.
The given function for the height of the Ferris wheel is a sinusoidal equation.
a) The radius is 30.48 feet and it takes Emily 4.25 minutes for one rotationReasons:
The function that gives the height of the Ferris wheel is presented as follows;
[tex]\displaystyle y = 30.48 \cdot cos \frac{2\cdot \pi }{4.25} \cdot \left(x - 2 \right) + 34.27[/tex]
Where;
x = The number of minutes since the ride began
y = The height in feet of Emily
a) Required:
The radius of the Ferris wheel
Solution:
Comparing the given equation with the general equation of a Ferris wheel, we have;
[tex]\displaystyle f(t) = \mathbf{A \cdot trig\left(B \cdot \left(t + C\right) \right) + D}[/tex]
The amplitude of the Ferris wheel = A = 30.48
The amplitude, A = The largest distance from the center = The radius, r
A = r
Therefore;
The radius of the Ferris wheel, r = A = 30.48 feet
b) The time it takes the Emily to make one rotation is given by the period, T, of the motion of the Ferris wheel as follows;
[tex]\displaystyle T = \mathbf{\frac{2 \cdot \pi}{B}}[/tex]
By comparison, we have;
[tex]\displaystyle B = \frac{2 \cdot \pi}{4.25}[/tex]
Therefore;
[tex]\displaystyle The \ period, \, T = \frac{2 \cdot \pi}{\left(\frac{2 \cdot \pi}{4.25} \right)} = 4.25[/tex]
The time it takes Emily to make one rotation, T = 4.25 minutes
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https://brainly.com/question/21165143
in a class of strength 60, 75% like to become teachers. how manu dont like to be teachers?
No. of people don't like to be teacher
= 100% - 75% = 25%
[tex] \frac{25}{100} \times 60 \\ = 15[/tex]So, 15 number of students doesn't like to be teacher
20% of 50. Mathmethics
Answer:
1000%
Step-by-step explanation:
just multiply both
brainliest pls
Answer:
10
Step-by-step explanation:
20 x 50
100
Ryan solved the problem above. He says there are 6 groups of 6 students and 1 group of 5 students . What did Ryan do wrong?
Answer:
hello want to be friends so i can join you and you can join me