John is only allowed to work after school for 3 hours Monday to Friday and can work 7 hours on Saturday. He is not working on Sunday. How many school days and saturdays does he need to work to reach the needed amount ?
Answer:
the needed amount of what? community service?If so about 6 days of work on saturday and 3 school days. :)
3x-5y=4
-2x+6y=18
solve for x and y
The posted speed limit along Elm Street is 25 mph. Homeowners living on Elm Street claim that the
average speed of automobiles traveling on Elm Street is greater than the posted limit of 25 mph and plan to
investigate their claim by measuring the speed of 20 randomly selected cars. If the data support the claim,
the residents plan to ask the city council for more police patrol along Elm Street. Here are the speeds (in
mph) of the 20 cars:
26. 2 22. 9 28. 8 29. 0 24. 8
24. 7 24. 0 24. 4 25. 2 31. 1
25. 6 21. 6 27. 4 25. 6 26. 4
23. 7 28. 2 24. 1 26. 7 26. 8
(a) Is there convincing evidence at the a = 0. 05 significance level that the true mean speed of all cars
traveling on Elm Street is more than 25 mph?
(b) Referring to your conclusion, what type of error may have been made? Describe the error in the
context of this study
The sample of the speeds of 20 cars and at a 0.05 confidence level, we
have;
(a) There is not enough convincing evidence to suggest that the true mean speed of all cars travelling on Elm Street is more than 25 mph
(b) Type II error
What are the process to test the hypothesis?(a) Based on the given data, using MS Excel, we have;
The sample size, n = 20
The mean, [tex]\overline x[/tex] = 25.86
The standard deviation of the sample, s = 2.284
The null hypothesis, H₀; [tex]\overline x[/tex] = 25 mph
Alternative hypothesis, Hₐ; [tex]\overline x[/tex] > 25 mph
Given that the sample size is less than 30, the t-test is used, and the t-score is found as follows;
[tex]t= \mathbf{\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}}[/tex]
Which gives;
[tex]t=\dfrac{25.86-25 }{\dfrac{2.284}{\sqrt{20}}} \approx \mathbf{1.684}[/tex]
Using a graphing calculator, we have;
The probability ≈ 0.054
The critical-t ≈ 1.729
Given that the probability is larger than the significance level, we fail to
reject the null hypothesis.
There is not enough convincing statistical evidence to conclude that the
true mean of all cars travelling on Elm Street is more than 25 mph.
(b) The type of error is Type II error, given that there is a possibility that
the null hypothesis is failed to be rejected when it is actually false.
Given that the sample size is less than 30, it may be insufficient for the
Central Limit Theorem to be in effect.
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A tropical storm has been moving at 15 miles per hour for the past two days Bess recorded that the storm moved 135 miles yesterday and 75 miles today for how many hours has Bess been keeping track of the storm draw a bar diagram and a write equation to help you solve
Simplify: 1/2(8 - 6y) + 1/5(10y - 25)
Hey there!
1/2(8 - 6y) + 1/5(10y - 25)
DISTRIBUTE 1/2 & 1/5 WITHIN the PARENTHESES
= 1/2(8) + 1/2(-6y) + 1/5(10y) + 1/5(-25)
= 4 - 3y + 2y - 5
COMBINE the LIKE TERMS
= (-3y + 2y) + (4 - 5)
= -3y + 2y + 4 - 5
= -1y - 1
≈ -y - 1
Therefore, your answer is: -y - 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
find the nth term of 67,56,45,34
Answer:
an = 67 -11(n -1)
Step-by-step explanation:
The terms of your arithmetic sequence have a common difference of -11. The first term is 67.
These values can be used in the generic formula for the n-th term:
an = a1 +d(n -1) . . . . . . first term a1, common difference d
an = 67 -11(n -1) . . . . . formula for the n-th term
f(x) = 2x + 7 Find a solution for the function if the dependent variable has a value of -1 Identify the independent and dependent variables. In the form of a paragraph, explain the steps necessary to find the solution. Complete your work in the space provided.
Answer:
x=-4
Step-by-step explanation:
-1=2x+7
-1-7=2x
2x=-8
x=-8/2=-4
I hope everyone is having a lovely day!! Why is 3x+1 considered an impossible equation to solve? (basically TAKE THE POINTS!) :D love y'all!
Answer: there is no x on either sides of the equation
Step-by-step explanation:
Answer:
I answered in comments but I want the points :p
Step-by-step explanation:
(9.7 x 10^6) + (8.3 x 10^5)=
Hey there!
9.7(10^6)+8.3(10^5)
9.7(1,000,000) + 8.3(100,000)
9,700,000+830,000
=10,530,000
Which equation will Alex want to use to determine the total amount of
food ( f ) a dolphin will eat over 5 years if a dolphin eats x pounds of food
per year?
A. f = 5 + x
B. f = 5x
C. f = [tex]\frac{5}{x}[/tex]
D. f = [tex]\frac{x}{5}[/tex]
Answer:
f= 5x
Step-by-step explanation:
x is the amount of food you want over 5 years so you would have to times it to get the whole amount eaten after 5 years.
please help me!! I know the answer to the question but I don't know how to get it.
Answer:
S = 3770.25 in^2
Step-by-step explanation:
20/15 = 4/3
5027/ 4/3 = 3770.25
Jessica is building a cardboard box that has a length of 16 inches, width of 9 inches, and height of 4 inches. If she decided to triple the height of the box, how much more cardboard does she need?
Answer:
Step-by-step explanation:
I assume you have a prism with a length of 16 inches, a width of 9 inches and a height of 4 inches and you want to know the surface area
1st...convert these to feet
16 in = 1 + 1/3 ft = 4/3 ft
9 in = 3/4 ft
4 in = 1/3 ft
And the surface area =
2 [ 4/3 * 3/4 + 4/3 * 1/3 + 3/4* 1/3 ] =
2 [ 1 + 4/9 + 1/4 ] =
2 [ ( 36 + 16 + 9 ) / 36 ] =
(1/18) ( 61) =
(61 / 18) sq ft ≈ 3.38 sq ft.
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
Answer:
9ft
Step-by-step explanation:
14 ft (top) - 5ft (bottom) = missing side (which is 9ft)
Answer:
9ft
Step-by-step explanation:
suppose that the side of 7ft was dragged to the right till it meets the side of 4ft
and the unknown side was dragged downwards till it meets the side of 5ft
Then, also considering that all angles are right angles, this structure becomes a square.
So the answer is 14ft - 5ft = 9ft
Distance 32 km; Time 20 minutes; Speed ? ___ kpm *
Answer:
56kmp
Step-by-step explanation:
That is all I know.
Answer:
1.6 kpm
Step-by-step explanation:
(32km)/(20min) = 1.6 km/min or kpm
Triangle OPQ is similar to triangle RST. Find the measure of side ST. Round your answer to the nearest tenth if necessary
Given that triangles OPQ and RST are similar triangles, the measure of side ST is: 75.3.
What are Similar Triangles?The ratio of the corresponding sides of two similar triangles are always equal, meaning the sides are proportional to each other.
Given:
OP = 17ST = 31PQ = 7Since Triangle OPQ is similar to triangle RST, therefore:
RS/OP = ST/PQ
Substitute
RS/17 = 31/7
Cross multiply
RS = (31 × 17)/7
RS = 75.3
Learn more about similar triangles on:
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The graph of an exponential model in the form y = a ⋅ bx passes through the points (3, 5) and (4, 10). Which point is also on the graph?
Answer:
The answer is D
Step-by-step explanation:
First, find a and b from the given points.
y = abx
5 = ab3
10 = ab4
b = 10/5 = 2
5 = a(23)
a = 5/8
y = (5/8) 2x
Test the choices:
x = 2 ⇒ y = 5/2
This rules out (a) and (b).
x = 5 ⇒ y = 20
To the nearest foot, what amount of fencing is needed to surround the perimeter of the flower bed? 17 feet 33 feet 40 feet 50 feet.
We have two flower beds in this example, the first has a perimeter of 100 feet, and the second has a perimeter of 180 feet
The total is 280 feet
Perimeter of RectangleGiven Data
Dimension of the first flower bed
Length = 17 feet
Width = 33 feet
Perimeter = 2L + 2W
Perimeter = 2*17 + 2*33
Perimeter = 34 + 66
Perimeter = 100 feet
Dimension of the second flower bed
Length = 40 feet
Width = 50 feet
Perimeter = 2L + 2W
Perimeter = 2*40 + 2*50
Perimeter = 80 + 100
Perimeter = 180 feet
The total length will be 100+180 = 280 feet
Learn more about Perimeter here:
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Answer:
It's 50
Step-by-step explanation:
D on edge
Need help suck on this problem
Hi!
Given:
[tex]2xy*xy^2[/tex] if [tex]x=2[/tex] and [tex]y=4[/tex]
Plug in the numbers for [tex]x[/tex] and [tex]y[/tex]
[tex]2(2)(4)*(2)(4)^2[/tex]
Using PEMDAS (Order of Operations - see below), simplify exponents first:
[tex]2(2)(4)*(2)(16)[/tex]
Multiply from left to right:
[tex](4)(4)*(2)(16)[/tex]
[tex]16*32[/tex]
[tex]512[/tex]
Your answer is 512.
-------------------------------------------------------------------------------------------------------------
ORDER OF OPERATIONS:
P - Parentheses
E - Exponents
M/D - Multiplication/Division
A/S - Addition/Subtraction
-------------------------------------------------------------------------------------------------------------
For another question using PEMDAS, see:
https://brainly.com/question/1015001
Madison is entering a bicycle race for charity. Her mother pledges $0.80 for every .5 miles she bikes. If Madison bikes 12 miles, how much will her mother donate?
Answer:
19.2
Step-by-step explanation: take 0.80 and multiply by 24 instead of 12 so you can count the half mile
27.)A candy bar sale totals to $5.50. What is the total cost with tax?
28.) Your Uncle Joe purchased three candy bars at $1.50 a piece. What is the total with
tax?
Answer:
27.) the candy bar sells for $5.90 with tax
28.) the candy bars sell for $4.80 with tax
Step-by-step explanation:
For amounts between $1.00 and $2.00, the tax is $0.10
For amounts greater than $2.00 and less than or equal to $4.00, the tax is $0.20.
For amounts greater than $4.00 and less than or equal to $6.00, the tax is $0.30.
For amounts greater than $6.00 and less than or equal to $8.00, the tax is $0.40.
For amounts greater than $8.00 and less than or equal to $10.00, the tax is $0.50
of the 35 students on student counsil 60% of the students are boys how many are girls
Known facts:
total number of students on the council: 3560% of the council students are boysResults:
therefore 40% of the total number of council students are girls.Calculation:
[tex]\frac{40}{100} *35=14[/tex]
Therefore there are 14 girls.
Hope that helps!
What is the area of a regular triangle with perimeter = 36 in??
Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
Equilateral triangle
Solve for area
A≈62.35in²
P Perimeter
36
in
a
a
a
a
a
a
a
P
A
Using the formulas
A=3
4a2
P=3a
Solving forA
A=3P2
36=3·362
36≈62.35383in²
evaluate the answer
12 • (-5/4)
Answer:
-15
Step-by-step explanation:
12 * (-5/4)
= -60/4
= -15
Triangle ABC has vertices A(1,4), B(-2,4), and C(-1, -1). A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle
What are the coordinates of B' in the dilated image?
Enter your answer by filling in the boxes.
B' has a coordinate pair of (__,__)
Please help! There is no picture btw
[Figured it out (see comments), putting this here so that it stops showing up as unanswered]
solve for p:
p/-2 + -27 = 3
Answer:
p=-60
Step-by-step explanation:
When you add a negative, you are just subtracting.
p/-2-27=3
p/-2-27+27=3+27
2(-p/2)=2(30)
-p=60
-p/-1=60/-1
p=-60
Hope this helps! Pls give brainliest!
HELP PLEASE!!!!!!!!!!!! 100 bonus points!!!! NO LINKS OR GUESSES!
Answer:
The amount increased by 102 units. The amount has increased by 120%
Step-by-step explanation:
187-85=102
85x=187
(187/85)-1=1.2
1.2*100=120
Answer:
Step-by-step explanation:
187 - 85 = 102
( 102 ÷ 85 ) × 100 = 120
Brianna is going to invest in an account paying an interest rate of 5.2% compounded continuously. How much would Brianna need to invest, to the nearest dollar, for the value of the account to reach $134,000 in 6 years?
Your answer would be 98086.
The value of money Brianna need to invest is,
⇒ P = $99,259
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Brianna is going to invest in an account paying an interest rate of 5.2% compounded continuously.
Here, We have;
Final amount (A) = $134,000
Time (n) = 6 years
Rate (r) = 5.2%
We know that;
⇒ Amount = P (1 + r)ⁿ
Substitute the values we get;
⇒ 134,000 = P (1 + 0.052)⁶
⇒ 134,000 = P (1.052)⁶
⇒ P = 134,000 / 1.35
⇒ P = $99,259
Thus, The value of money Brianna need to invest is,
⇒ P = $99,259
Learn more about the Interest visit:
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Janile got 4 kilograms of candy when she went trick-or-treating at Halloween. Since she didn’t want to eat it all, she decided to share it with her 4 friends. If the 5 of them share the 4 kilograms, how much will each of them have?
200 grams
1,000 grams
500 grams
800 grams
HELP NEEDED!
Answer:
Each of them will have 0.8 kg of the Halloween candy. In a fraction form that would be 4/5.
Step-by-step explanation:
What is the minimum value for the function shown in the graph?
Enter your answer in the box
Answer:
The minimum value is -7 because of the negative sign on the number
Answer: Its -6
Step-by-step explanation:
its -6 because the functions lowest points are -6
About how many cells are in the human body?
You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.
please explain
I think its 30 trillion cells
hope it helps