Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Step-by-step explanation:
From the question we are told that
The average time taken is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is [tex]n = 30[/tex]
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The null hypothesis is [tex]H_o: \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5 \ seconds[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]
=> [tex]z = 0.7825[/tex]
From the z table the area under the normal curve to the right corresponding to 0.7825 is
[tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]
So from the question we see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
In the expression g×h, g and h are real numbers. For what values of g and h is the expression g×h negative?
Select TWO that apply.
A. g=−1; h=−1
B. g=−1; h=1
C. g=1; h=−1
D. g=0; h=1
E. g=−1; h=0
Answer:
A
Step-by-step explanation:
They are both negative and that helps it.
Hope this helps!!!
The values of g and h to make the expression g×h negative are g=−1; h=1 and g=1; h=−1.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is g×h where g and h are real numbers
The expression g×h is negative when either g or h is negative.
Since multiplying two negative numbers results in a positive number
The only way for the expression to be negative is if one of the numbers is negative and the other is positive.
So when g=−1 and h=1
The expression g×h = -1×1 = -1.
when g=1 and h=-1
The expression g×h = 1×-1 = -1.
Hence, g=−1; h=1 and g=1; h=−1 are the values of g and h to make the expression g×h negative
To learn more on Expressions click:
https://brainly.com/question/14083225
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Find the mssing value.
I = ? , P = $250.00, r = 4%, t = 2 years
Answer:
20 I think
Step-by-step explanation:
I mean I would say it is 20
solve (x – 3)2 = 81 quadratic equation
Answer:
x = 43.5 or x = 87/2
Step-by-step explanation:
(x - 3)2 = 81
2x - 6 = 81
2x = 87
x = 43.5
Simplify.
2 + 8h + 5 + 2h =
Answer: 7+10h=
Step-by-step explanation:
Just add the numbers that match.
2+5= 7
8h+2h= 10h
Answer:
Step-by-step explanation:
2+8h +5 2h =7+ 10h
You add 2+5 and then add 8h and 2h
Determine a constant in 9x + 4y -13.
A) -13
B) 9x
C) 4y
How many quadrants are included on the coordinate plane?
Answer:
There are 4
Step-by-step explanation:
You have the 1st 2nd 3rd and 4th quadrant.
They go from top right to top left then bottom left then to bottom right.
Simplify (10x^3 -3x-5) - (7x^2 +4x-9)
Answer:
10x³ - 7x² - 7x + 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(10x³ - 3x - 5) - (7x² + 4x - 9)
Step 2: Simplify
Distribute negative: 10x³ - 3x - 5 - 7x² - 4x + 9Combine like terms (x): 10x³ - 7x² - 7x - 5 + 9Combine like terms (Z): 10x³ - 7x² - 7x + 4while tim is waiting for school to start he pulls a quarter from his pocket. how many outcomes are possible if he flips the quarter three times?
Answer:
3
Step-by-step explanation:
he flips it three times
Gina popped 7 times as many balloons as Sam did. If Sam popped n balloons, how many balloons did Gina pop?
O A 7-n
7n
O c 7+1
o
Answer:
B. 7n
Step-by-step explanation:
Gina popped 7 times more than Sam, the keyword is times, so u have to multiply the amount of balloons Sam poppes, n, with 7
If it said Gina popped 7 balloons more, then it would be 7 + n
Given ac=46 and the picture above
1.find x
2.find ab
3.find bc
I will give brainlist
Answer:
x = 5, AB = 27, BC = 19
Step-by-step explanation:
From the diagram
AB + BC = AC , substitute values
4x + 7 + 3x + 4 = 46 , that is
7x + 11 = 46 ( subtract 11 from both sides )
7x = 35 ( divide both sides by 7 )
x = 5
Thus
AB = 4x + 7 = 4(5) + 7 = 20 + 7 = 27
BC = 3x + 4 = 3(5) + 4 = 15 + 4 = 19
Answer:
1. x = 5
2. AB= 27
3. BC = 19
Step-by-step explanation:
Solving for X:
The entire segment is 46. Parts AB and BC make up the whole thing. So, to find x, add both expressions and set them equal to 46.
4x+7+3x+4=46 (combine like terms)
7x+11=46 (subtract 11 from both sides)
7x = 35 (divide by 7)
x = 5
Finding AB:
Plug 5 in for x and evaluate the expression.
4(5)+7
20 + 7= 20
AB is 27
Finding BC:
Plug in 5 for x and evaluate the expression.
3(5)+4
15+ 4=19
Check your work.
Add the values of AB and BC to make sure they add up to 46, which is AC.
27 + 19 = 46, so this is correct.
Write an equivalent ratio that is triple 7 to 11
Answer:
21/33
Step-by-step explanation:
Multiply both numbers by 3
What are the coefficients in the algebraic expression
Please answer this :)
Answer:
one option could be for the first box 5 and 9 and in the next box 15 and 27 bc u can scale factor it by 3
Step-by-step explanation:
Write a subtraction fact that will give the same difference as 15-7.
Answer:
9-1
Step-by-step explanation:
Well, 15-7 is 8. We can create an simple subtraction problem for this such as...
9-1=8
I hope this helped....have a nice day ❤
Adults in Turkey have mean caloric intake of 3500 calories per day (Wikipedia) with a standard deviation of 500 calories. A sample of 25 Ankara University students has an average intake of 3400 calories per day. Is this enough evidence to conclude that Ankara U. students average is not 3500 calories per day? Assume the distribution is normal.
A. State the null and alternative hypotheses.
B. What is the value of the test statistic?
C. Specify the rejection region?
D. State the conclusion.
Answer:
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) t = -1
C) the rejection region will be;
p-value < 0.05
D) Conclusion is that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
Step-by-step explanation:
We are given;
Population mean; μ = 3500
Population standard deviation; σ = 500
Sample mean; x¯ = 3400
Sample size; n = 25
We want to find enough evidence to conclude that Ankara U. students average is not 3500 calories per day.
Thus, the hypothesis is defined as;
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) sample size is less than 30, thus we will use a t-test.
Formula for the test statistic is;
t = (x¯ - μ)/(σ/√n)
t = (3400 - 3500)/(500/√25)
t = -100/(500/5)
t = -1
C) since the sample is small, let's assume a significance level of 0.05.
Thus,the rejection region will be;
p-value < 0.05
D) from online p-value from t-score calculator attached using;
t = - 1; DF = 25 - 1 = 24; significance level = 0.05 and two tailed hypothesis, we have;
p-value ≈ 0.3273
This is greater than the significance value of 0.05.
Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
A football team gained 9 yards on one play and then lost 22 yards on the next and
finally gained 12 yards on the final play. What is the result of the three plays?
Question is in the image
Answer:
4.
Step-by-step explanation:
y = -2x + 3
-1 = -2(2) + 3
-1 = -4 + 3
-1 = -1
y = x - 3
-1 = 2 - 3
-1 = -1
Evaluate: 3.2^t when t = 4 *
Answer:
48
Step-by-step explanation:
In pemdas, powers and roots always come first
3 * 2^t
3 * 2^4
3 * 16
Then simplify the rest
48
What's is the quotient?
-4 1/3
____
-3/4
Thank you please answer
Answer:
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Answer:
5 7/9 (5 and 7/9)
Step-by-step explanation:
-4 1/3 divided by -3/4
= (-4 1/3) / ( -3/4)
= (-13/3) / (-3/4)
= (-13/3) * (-4/3)
= 52/9
= 5 7/9
#1. please help me with my math Select All
Answer:
B.) - ⅖ -⁴⁄₃ᵖ and
D.) -⁴⁄₃ᵖ + (- ⅖)
Step-by-step explanation:
-⁴⁄₃ᵖ - ⅖ is equivalent to - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
Thus, The answer is - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
-TheUnknownScientist
Need help please on this
Answer:
I think it's dilated by a scale factor of 5. Because the black one is 3 squares long and the purple one is 15. So divide those and you get 5! and to check just multiply 5x3 to find the length of the purple one!
Step-by-step explanation:
Hope this helps! please mark brainliest! :)
Which expression is equivalent to 3(5 + 4)?
Answer:
3 ( 5 + 6 ) = 15 + 18
Step-by-step explanation:
Sorry if wrong but if right can you mark me brainiest
Answer: 15 + 12
Reason: You just distribute the three to five and four, and you get an equivalent equation to 3(5 + 4)
I hope this helps, and Happy Holidays! :)
ANSWER FAST PLZ
find the height of a cone with a diameter of 12m whose volume is 113m3
A.2m
B.1m
C.9m
D.3m
Answer:
I'm pretty sure it's 3
Step-by-step explanation:
h=3(V/πr2)
I just plugged it into this equation
Helppp please i need helppppppppoooo
Answer:
The answer would be A.
Fun Fact - Cats have fewer toes on their back paws.
Like most four-legged mammals, they have five toes on the front, but their back paws only have four toes. Scientists think the four-toe back paws might help them run faster.
12. Write the equation of a line that passes through point (2,3) and is parallel
to the line 6x + 3y = 12. *
PLZ HELP if u know the amswer
Answer:
The correct answer is the last option (d.)
Step-by-step explanation
Dan, David, Thor, and Charles together clean out evil from 60 cities. Dan cleaned up 0.25 of the cities, David cleaned up 12 of the 60 cities, Thor cleaned 35% of the cities, and Charles cleaned up the remaining cities. Who cleaned up the most cities? (5 points)
a. Dan
b. David
c. Thor
d. Charles
Answer:
d. Charles cleaned the most cities
Find the value of the missing angle in the triangle below:
Answer:
85°
Step-by-step explanation:
x+32°+63°=180°(being sum of interior angle of triangle)
x=180°-95°
:. x=85°
What is the difference of the polynomials?
(5x^3+ 4x^2)-(6x^2-2x-9)
i think its B ......
The difference of the polynomials (5x3 + 4x2) – (6x2 – 2x – 9) is 5x3 – 2x2 + 2x + 9.
A polynomial is an expression consisting of variables and coefficients,
5x3 + 4x2 - (6x2 - 2x - 9)
= 5x3 + 4x2 - 6x2 + 2x + 9
= 5x3 - 2x2 + 2x +
5.00 minus2.40minus1.33= plz show me how you got that answer step by step
Answer:
5.00 -2.40= 2.60
2.60-1.33= 1.27
The answer is 1.27
Step-by-step explanation:
