Answer:
0
Step-by-step explanation:
[tex]\frac{a}{(a-b)(a-c)} +\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\\= \frac{a}{(a-b)(a-c)} -\frac{b}{(b-c)(a-b)}+\frac{c}{(a-c)(b-c)}\\\\= \frac{a(b-c)-b(a-c)+c(a-b)}{(a-b)(a-c)(b-c)}}\\\\= \frac{ab-ac-ab+bc+ac-bc}{(a-b)(a-c)(b-c)}}\\\\= \frac{0}{(a-b)(a-c)(b-c)}}\\\\= 0[/tex]
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.
Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.
0.993
0.007
0.05
0.018
0.004
Using the t-distribution, it is found that the p-value of the test is 0.007.
At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:
[tex]H_0: \mu \leq 220000[/tex]
At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:
[tex]H_1: \mu > 220000[/tex].
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\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. s is the standard deviation of the sample. n is the sample size.For this problem:
[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]
Then, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]
[tex]t = 2.69[/tex]
We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.
Using a t-distribution calculator, the p-value of the test is of 0.007.
A similar problem is given at https://brainly.com/question/13873630
No one answered the palm tree question so I will put this question up for 15 points. Please answer now it’s due!
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet is the answer ok
Find the product of 44.6 and 2.34.
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
solve each equation. 6x+2/3-2=4x-4/6
Answer:
6x+2/3-2=4x-4/6
6x-4x = 2-⅔-4/6
2x = 2-(4+4)/6
2x = (12-8)/6
2x = 4/6
12x = 4
x = 4/12
x =⅓
Step-by-step explanation:
brainliest plz
4.72 × 3.4 equals what? Show work please ro gelp me understand
Given the cost function, C(x), and the revenue function, R(x), more than how many units must be produced and sold for the business to make money?
C(x)= 2,000x + 60,000
R(x)= 8,000x
Answer:
x= 10
Step-by-step explanation:
C(x) = 2,000x + 60,000
R(x) = 8,000x
Set the solution to zero.
R(x) - C(x) = 0
8,000x - (2,000x + 60,000) = 0
6,000x - 60,000 = 0
x=10
i asked a question a while ago and nobody has answered it pls help
Answer:
bet but need barinlyist
Step-by-step explanation:
solve the equation 3/4x-5=x
give your answers correct to 2 decimal places
Answer:
x = - 20
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] x - 5 = x ( multiply through by 4 to clear the fraction )
3x - 20 = 4x ( subtract 3x from both sides )
- 20 = x
BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,
Answer:
27:45
Step-by-step explanation:
The ratio is 3:5, so the total is 8. 72/8 is 9. 9*3 is 27, and 9*5 is 45, so the two groups consist of 27 and 45 BAKERY Rolls.
solution needed step by step
Answer:
I am doinnnng ok just wait
Answer:
Points again!!!
Step-by-step explanation:
Hey thanks
wii mark brainlest answer with explanation
A? It makes the most sense i gues... So sorry if wrong!
need help desperately.. y – 2.234 = 7.92
Answer:
251,734.
Step-by-step explanation:
An item costs 490before tax, and the sales tax is39.20 .
Find the sales tax rate. Write your answer as a percentage.
Answer:
8% is the sales tax rate
Step-by-step explanation:
I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.
490 * 8.75% = 42.875
Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)
490 * 8% = 39.2
Hope this was somewhat helpful
what is the answer for this equation 3x-2=2x+9
Answer:
x = 11
Step-by-step explanation:
3x-2x=9+2 1st and 2nd principle
X=11
PLEASE HELP
WILL MARK BRAINLIEST
(don’t put links or i will report)
What type of correlation is shown within your data? Explain how you know.
Answer:
it looks like a positive correlation?
Step-by-step explanation:
I really don't know much but it looks like the y in increasing in a positive direction when the x is as well
Please help me out. Thanks
Answer:
y=-2x+5
Step-by-step explanation:
2,1 and 3,-1
gradient
=(3-1)/-1-1
gradient = -2
y=5
y=-2x+5
Will give brainliest answer
Answer:
first most option is the answer
Answer:ok A is the correct answer for this test I did this plz trust me give brainpower plz
Step-by-step explanation:
The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.
Answer:
[tex]k = 2E/x^2[/tex]Step-by-step explanation:
Given formula:
[tex]E = 1/2kx^2[/tex]To solve for k, multiply both sides by 2 and divide by x²:
[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]Answer:
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Step-by-step explanation:
The formula given is :
[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]
Now, multiply (×) both sides by 2 and divide (÷) by x^2
[tex]\sf\longmapsto \: 2E = kx²[/tex]
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
- According to CTIA.org, there were 327.6 million cell phones in the U.S. in 2014. The U.S. population was approximately 317.9 million at that time. How many cell phones per capita were there in the U.S. in 2014? (Round to the nearest hundredth)
Answer:
1.03
Step-by-step explanation:
Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.
Answer:
1.03
Step-by-step explanation:
HELPPPPPPPP!!!! In 1.6, we learned about rational exponents. In a rational exponent, the numerator is the power that the base of the exponent is being raised to and the denominator is the root that is being taken of that base. If the numerator is odd, why is there only one root?
Need help pleaseee …
Answer:
2.5
Step-by-step explanation:
By Pythagoras theorem,
Hypotenuse = √( 4^2 + 3^2 )
= √( 16 + 9 )
= √25
Hypotenuse = 5
4 / 2 = 5 / x
2 = 5 / x
x = 5 / 2
x = 2.5
Kimberly has a revolving credit account at an annual percentage rate of 15% her previous monthly balance was $784.19 find a new balance if Kimberly's account show The Following activity - 88.76 + 115 + 210.72 - 354.12 - 723.92
Answer:
784.19(1 + .15/12) = 793.99
Step-by-step explanation:
give the quadratic sequence 2,3,10,23,........
write down the next term of the sequence.
Answer:
The next term of the sequence is 42
What is the mean of the frequency distribution?
33
Baseball bat length
f
27
2
28
4
29
3
31
5
16
30.3
30.7
29.4
29.6
Answer:
33
Step-by-step explanation:
12
how you do the first one
I HOPE IT WILL HELP YOU.
Thank you.
can anyone heelp me pls pls
Answer:
3. Lotion
2. Suspension
1. Capsule
help with#14 please!!!
let's solve for f :
[tex] \dfrac{1}{f} = \dfrac{1}{a} + \dfrac{1}{b} [/tex][tex] \dfrac{1}{f} = \dfrac{b + a}{ab} [/tex]Taking reciprocal of both sides :
[tex]f = \dfrac{ab}{a + b} [/tex]Which best describes how the graph of g(x) = square root of 25/9 x relates to the graph of the parent function, f(x) = square root of x?
The graph of g(x) is shrunk vertically by a factor of 5/3.
The graph of g(x) is stretched vertically by a factor of 5/3.
The graph of g(x) is shrunk vertically by a factor of 25/9.
The graph of g(x) is stretched vertically by a factor of 25/9.
Answer:
The graph of g(x) is stretched vertically by a factor of 5/3.
Step-by-step explanation:
f(x) = √x
g(x) = √25/9 x = 5/3 √x
5/3 > 1 .. vertical stretch by a factor of 5/3
There are 120 apples, 1/16 have sprinkles. How many have sprinkles?
Answer:
7.5
Step-by-step explanation:
because 7.5 x 16 = 120
Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?
Pokyaa is 31 years, 6 months, while Afriyie
is 20 years, 6 months
The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that the age of Pokyaa is P while the age of Afriyie is A.
As per the given,
Pokyaa is 11 years older than Afriyie
Therefore, P = 11 + A
Altogether P + A = 52
Substitute,A = 52 - P into P = 11 + A
P = 11 + (52 - P)
P = 11 + 52 - P
P + P = 63
2P = 63
P = 32.5 ⇒ 31 years and 6 months.
Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".
For more about the equation,
https://brainly.com/question/10413253
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