It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?
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
Express the area of the entire rectangle
Answer:
21x^4+56x^3+49x^2
Step-by-step explanation:
You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3
A parallelogram with sides s and t has perimeter 2s+2t. Kelly is decorating the edge of her parallelogram-shaped craft table. The tabletop has sides that are 30 inches and 14.5 inches.
What is the perimeter of the tabletop?
Answer:
what grade so i can help
Step-by-step explanation:
Need answers for 5 and 6 please it’s algebra math hurry please
35.408 in expanded form
Answer:
30+5+0.4+0.00+0.008
I hoped this helped u :)
Step-by-step explanation:
Answer:
30 + 5 +.4 + .008
Step-by-step explanation:
Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.
The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?
Answer:
275n + 1000 = 2700
They will go 6 days on vacation.
Step-by-step explanation:
Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:
1000 + 275n = 2700
275n = 2700 - 1000
n = 1700/275
n = 6.18
Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet
D is the correct answer!
Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!
The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
Area of a rectanglearea = lwwhere
l = length
w = width
Therefore,
area = 2x² + x – 6
Let's factorise
2x²- 3x + 4x - 6
x(2x - 3) + 2(2x - 3)
Therefore,
(x + 2)(2x - 3)
Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
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The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?
The table that shows the correct t and d values is
Distance Covered (m) Time Taken (hr)
8 6
32 15
How to determine the correct values for t and d?The table of values is given as:
Distance Covered (m) Time Taken (hr)
8 6
16 12
32 15
48 18
The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours
When these values are extracted, we have:
Distance Covered (m) Time Taken (hr)
8 6
32 15
The above represents the table that shows the correct t and d values
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send helpppppppppppp
Answer:
right bottom
Step-by-step explanation:
Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP
ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
Select one:
a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.
b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.
Answer:
[tex]7 + (-8)[/tex]
Step-by-step explanation:
Given
[tex]7 - 8[/tex]
(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:
[tex]a = 7[/tex]
[tex]b = -8[/tex]
So, the expression can be represented as:
[tex]7 + (-8)[/tex]
(b): Number line representation
When the expression in (a) is solved.
The result is:
[tex]7 - 8 = 7 + (-8) = -1[/tex]
This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of [tex]7 - 8[/tex]
Hence, (a) is correct
Um how do you solve for x?
Answer:
If you have an equation like "x - 5 = 20" rewrite the equation as x = 20 + 5 and solve for x, which 20 + 5 is 25.
explain how to evaluate f(g(0)).
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answer:
6
Step-by-step explanation:
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Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?
Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?
Answer:
1 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions
Subtract them like a regualr equation
[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]
Convert [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]
Which of these angles can replace x in tan (x)?
A. □
B. None of these angles are correct.
C. φ
D. θ
Answer:
C. φ
Step-by-step explanation:
[tex]tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi[/tex]
Thus [tex] \Phi [/tex] can replace x
Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.
B
Charlie can put 11 gallons of gas in his car for $38.65.
C
Charlie can put 14 gallons of gas in his car for $47.90.
D
Charlie can put 17 gallons of gas in his car for $56.95.
Answer:
A and D
Step-by-step explanation:
So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).
write -12 in a and b form
Answer:
whats ur question i dont understand
Step-by-step explanation:
idu
Answer:
thanks fOr the points
Step-by-step explanation:
what is 8x+6 simplified?
Answer:
4x+3
Step-by-step explanation:
8 and 6 are multiple of 2 so divide 8 /2 = 4 and divide 6/2=3
Which is greater 0.745 or 7.45
Answer:
7.45
Step-by-step explanation:
BECAUSE .745 IS ONE PLACE VALUE LOWER
CAN I HAVE BRAINLIEST PLEASE
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
(A) 4.200 mi/min
B) 11.7 mi/min
C 1.17 mi/min
D 0.117 mi/min
Answer:
The answer is C
Step-by-step explanation:
70 miles 1 hour 70mh
_______ x ________ = _______ = 1.17min
1 hour 60 mh 60mh
5. Which of the following graphs represents the slope of -1/3
Answer:
A
Step-by-step explanation:
I found out bc I got the answer wrong then it gave me the right answer which is A:)
54 ÷ 6 x (12-4) + 2 =
Answer:
3
Step-by-step explanation:
1. 54÷6 =9
2. (12-4)=8
3. 9-8 = 1
4. 1+2 = 3
5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator
Answer:
a=72[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
56/6*(12-4)+2=n
56/6*8+2-2=n-2
56/6*8/8=(n-2)/8
x=9[tex]\frac{1}{3}[/tex]
x=(n-2)/8
y=74[tex]\frac{2}{3}[/tex]
y=n-2=a
a=72[tex]\frac{2}{3}[/tex]
7,-6, 6 ___ ____>____ 1, ¼, ½ ____>____>____ -50,10,0 ____ _____>_____ -82,-93,-104 ____ _____>______ 11 ¼,11, 11 ½ ____ _____>______
Answer:0-0
Step-by-step explanation:
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
If a number is not divisible by 10, can it be divisible by 20?
Answer:
no
Step-by-step explanation:
Answer:
No cannot
Step-by-step explanation:
Which expression is equivalent to 2(3x+4)(x−1)(x−3)?
A
6x3−16x2−14x+24
B
6x3−4x2−34x−24
C
3x3−8x2−7x+12
D
6x3+20x2−2x−24
Answer:
A
Step-by-step explanation:
=(2(3x+4)(x−1))(x+−3)
=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)
=6x3+2x2−8x−18x2−6x+24
=6x3−16x2−14x+24
After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given expression in the question,
2(3x+4) (x−1) (x−3)
(6x + 8) (x² -3x - x + 3)
6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24
Now, collect similar terms and add them,
6x³ - 16x² - 14x + 24
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The two triangles are similar.
Solve for h.
Give an exact answer.
Answer:
[tex]\frac{1}{1.6} = \frac{h}{7.2}[/tex] ( since they're similar, they are proportional to each other)
1 (7.2) = h (1.6) (set the two up as a proportion and then cross multiply)
7.2 = 1.6h (divide both sides by 1.6)
h = 4.5 m (this is the answer)
Step-by-step explanation:
