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
138.4 minus 48.732 help
5/6 + 3/4 + 2/3 pls
Answer:
2.25 i believe
Step-by-step explanation:
What is the value of A if sin (A) = 3√2?
Not here
60
45
30
Answer:
sin A = √3/2sin A = sin 60°A = 60°Now, cot A = cot 60° = 1/√32cot² A - 1 = 2cot² 60° - 1= 2(1/√3)² - 1= 2/3 - 1 = -1/3Hence your required answer is -1/3Hope This Helps You!
Step-by-step explanation:
it might work
When the Fed is concerned about inflation, it will likely do which of the following?
Answerj, C v v .
Step-by-step explanation:
A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph
Answer:
1.) 120 mph
2.) 30 mph
Step-by-step explanation:
Given that a man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
Let the wind speed = w
and the plane speed = p
From the first sentence,
P - w = 180/ 2
P - w = 90 ....... ( 1 )
From the second statement,
P + w = 180/1.2
P+ w = 150 ...... ( 2 )
Solve equation 1 and 2 simultaneously
P + w = 150
P - w = 90
Add the two equations
2P = 240
P = 120 mph
Substitute p in equation 1
W = 150 - 120
W = 30
Therefore, the wind speed is 30 mph and the plane speed is 120 mph
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
Super easy!!!!
Which material will heat up the quickest? *
asphalt
cement
steel painted white
Sod
Answer:
steel painted white
Step-by-step explanation:
what is sod?
Answer:
Sod.
Explanation:
Sod is surprisingly good at aiding in the heating process!
Even while wet, it will accelerate the heating process.
AE is an angle bisector of BAC if the measure of BAE = x + 30 and masure of angle EAC = 3x-10 determine Measure of angle EAC
The value of x for the given geometry will be 20°.
What is an angle?The angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that AE is a bisector of ∠BAE and ∠EAC
so,
∠BAE = ∠EAC
x + 30 = 3x - 10
x = 20°
Hence 20° will be the answer to the given question.
For more about the angle
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prove that 1 + sin theta /cos theta + cos theta / 1 + sin theta =
2 sectheta
Given:
[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta [/tex]
To prove:
The given statement.
Proof:
We have,
[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta[/tex]
Taking LHS, we get
[tex]\text{LHS}=\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}[/tex]
Taking LCM, we get
[tex]\text{LHS}=\dfrac{(1+\sin \theta)^2+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]
[tex]\text{LHS}=\dfrac{(1)^2+2\sin \theta +\sin^2 \theta+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]\text{LHS}=\dfrac{1+2\sin \theta +1}{\cos \theta(1+\sin \theta)}[/tex] [tex][\because \sin^2 \theta+cos^2\theta =1][/tex]
[tex]\text{LHS}=\dfrac{2+2\sin \theta}{\cos \theta(1+\sin \theta)}[/tex]
[tex]\text{LHS}=\dfrac{2(1+\sin \theta)}{\cos \theta(1+\sin \theta)}[/tex]
[tex]\text{LHS}=\dfrac{2}{\cos \theta}[/tex]
[tex]\text{LHS}=2\sec \theta[/tex] [tex][\because \sec\theta=\dfrac{1}{\cos \theta}][/tex]
[tex]\text{LHS}=\text{RHS}[/tex]
Hence proved.
1. Find the missing length. Round to the
nearest tenth
Please help
Answer:
5.7
Step-by-step explanation:
a^2+b^2=c^2
_____________________
Answer:
157,500
Step-by-step explanation:
45,000 x 3.5$= 157,500
Lolz i' wrong prolly cuh so my bad g
Find the angle PQR [Geometry]
Answer:
5⁰
Step-by-step explanation:
Angle on A STRAIGHT line sums up to 180⁰
angle PQR and angle RQS are both on a straight line therefore they sum up to 180⁰
4x+129+5x+6=180
then here you group like terms
4x+5x=150-129-6
9x=45
divide both sides by 9
9 dividing 45 is 5
Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of water
used. How much salt would they need if they used one cup of water?
Answer:
about a half teaspoon
Step-by-step explanation:
Ariel bought 3 raffle tickets for $5. How many tickets could Ariel
buy for $15?
Answer:
9 raffle tickets
Step-by-step explanation:
Because 3 raffle tickets are $5
and to find out the number of tickets you can buy with $15 you have to
divide $15 by $5 which is 3
then multiply the 3 times 3 to get 9 raffle tickets
Have a great day, I hope this is helpful to you.
Answer:
9
Step-by-step explanation:
3=5 6=10 9=15
what does n equal? btw this is 6th grade! also < Is between 3 and 5
Answer:
n < 4
Step-by-step explanation:
[tex]\frac{1}{2} n+3<5[/tex]
-3 -3
[tex]\frac{1}{2} n[/tex] < 2
divide both sides by [tex]\frac{1}{2}[/tex]
n < 4
Hope this helps!!!
Can someone help me ASAP please with all the odd numbers I would be very grateful.
Please help thank you
Answer: 3
Step-by-step explanation:
simply divide 1200 by 400. :)
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! :)
Is that the only ones I used
Answer:
yes
Step-by-step explanation:
A family went to a baseball game. They spent $25 to park the car in a parking lot and $24 per ticket. Which equation represents x, the total number of people going to the baseball game if the family spends y, $145 total?
What is the ratio 7 to 8 as a fraction,decimal,and percent.
Answer:
fraction: 7/8
decimal: 0.875
Percent:8.75%
Answer:
Step-by-step explanation:
The ratio of 7 to 8
as a fraction is...
7/8 (7 divided by 8)
as a decimal...
0.875
as a percent...
87.5%
*just take the decimal and move the decimal point over two places to get your percent which is out of 100
so...
0.875 * 100 = 87.5%
write the value of 50 times the sum of 64 and 36
Answer:
500 :)
Step-by-step explanation:
You can use the formula A = 252 + 4sh to find the surface area of a square prism
that has a base with edge length s and height h. A square prism has a base with
edges that are 12 centimeters long and a height of 15 centimeters. What is the
surface area of the square prism? Show your work.
Please answer fast!! I’m in a test. Give the full explanation
Answer:
The surface area is 972 square cm
Step-by-step explanation:
Numeric Value of Functions
Given the function:
A = 252 + 4sh
Where A is the surface area of a square prism , s is edge length of the base h is the height.
A square prism has a base with edges s=12 cm long and height of h=15 cm.
Substituting these values, we get:
A = 252 + 4(12)(15)
A = 252 + 720 = 972
A = 972
The surface area is 972 square cm
The surface area of the square prism is 1008 cm².
Surface area of a square prism:
Surface area = 2s² + 4shwhere
s = edge side
h = height
Therefore,
s = 12 cm
h = 15 cm
surface area = 2 × 12² + 4 × 12 × 15
surface area = 2 × 144 + 48 × 15
surface area = 288 + 720
surface area = 1008
surface area = 1008 cm²
learn more on square prism: https://brainly.com/question/20796251?referrer=searchResults
a baseball player got 13 hits in 50 times at bat. what percent of her times at bat did she get a hit
Answer:
26%
Step-by-step explanation:
How many different combinations are there for the word MATH
Answer:
[tex]Combination = 24[/tex]
Step-by-step explanation:
Given
MATH
Required
Number of combination
First, we count the letters in MATH
There are 4 letters;
So:
[tex]n = 4[/tex]
Since, no letter is repeated.
The number of combination is n!
This gives:
[tex]Combination = 4![/tex]
[tex]Combination = 4*3*2*1[/tex]
[tex]Combination = 24[/tex]
What is the value of the exponential expression below 64 1/2
Answer:
its 8
Step-by-step explanation:
Which action would violate the Ninth Amendment?
speaking with a pharmacist about a prescription
accusing a political opponent of dishonest behavior
publishing a family recipe in a community cookbook
obtaining unauthorized personal information from a website
Answer:
d
Step-by-step explanation:
The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Today, the Ninth Amendment is used mainly to stop the government from expanding their power rather than just limiting their power.
The 9th amendment means that even if a right is not specifically mentioned in the Constitution, it still belongs to the people.
For example, in this case, the right to privacy. It's not specifically mentioned in the Constitution, but it is still a right that the government cannot take away.
Thus, The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
Learn more about the mathematical expression visit:
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A car travels about 25 miles on one gallon gas.if between 10 and 12
Gallons of gas are used
Answer:
The car will travel between 250 and 300 miles with a consumption of between 10 and 12 gallons of gasoline.
Step-by-step explanation:
If a car travels 25 miles on a gallon of gasoline, when using between 10 and 12 gallons of gasoline, the miles it will travel are derived from the following calculation:
1 = 25
10 = X
((25 x 10) / 1) = X
250 = X
So if you use 10 gallons of gasoline, the car will travel about 250 miles. Now if you use 12 gallons, it will go about 300 miles.
Therefore, the car will travel between 250 and 300 miles with a consumption of between 10 and 12 gallons of gasoline.
can someone explain what surface area means?
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Step-by-step explanation:
The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together
What is the y-intercept of the line?
It crosses the y axis at 4... it is 4 :)
Answer:
a. (0, 4)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line crosses the y-axis at y = 4. Therefore, our y-intercept is 4. Writing it in coordinate point would be (0, 4), as definition of the y-int.