The conclusion is that since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
What is a null hypothesis?A null hypothesis is a hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling error.
Here, the effect of a one-day SAT prep class at a 5% level of significance was assessed. Since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
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To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4, and then flips a fair coin. Use a tree diagram to represent the sample space. What is the probability of spinning either a 3 or a 4 AND flipping a head?
Answer:
2/8
Step-by-step explanation:
there is the 4 sections of a spinner and 2 sides on the coin when you lay it out that leaves 2 opportunities to spin a 3 or a 4 and flipping heads
There is a set of 10 jobs in the printer queue. One of the jobs in the queue is called job A. How many ways are there for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish
The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!
How to solve permutation and combination?We are told that;
There is a set of 10 jobs in the printer queue.
One of the jobs is job A. Thus, there are 9 other identified jobs.
Number of ways to order this nine jobs = 9!
Since the job A has to be ordered first or last, then;
Number of ways to order job A = 2 ways.
Thus;
Total number of ways to order the jobs in the given order = 2 * 9!
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15 points, I have 0 idea how to solve this, please explain your answer
For the function f(x) = 3x + 7, find the following:
a) f(2)=
c) f(x) = 8
b) f(-3) =
d) f(x) = 10
Answer:
a) 13
b) 1/3
c) -2
d) 1
Step-by-step explanation:
This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:
For example:
f(x) = 3x + 7
f(2) = 3(2) + 7
f(2) = 6 + 7
f(2) = 13
________
f(-3) = 3x + 7
f(-3) = 3(-3) + 7
f(-3) = -9 + 7
f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.
f(-3) = -2
The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:
For example:
f(x) = 8
f(x) = 3x + 7
8 = 3x + 7
8 - 7 = 3x
1 = 3x
x = 1/3
f(x)= 10
f(x) = 3x + 7
10 = 3x + 7
10 - 7 = 3x
3 = 3x
3/3 = x
1 = x
I hope this helps!
PLEASE HELP!! 50 POINTS!!!!!
Answer:
3\2 is the marked
y cos x,=2
3\2=0.5
x=0.5*2=3.0
=3.0*2=6.0
(Refer to the attached image)
[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Given following:
A = 56°B = 77°a = 38 mb = ? mSolve for b (distance between school and mall):
[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]
[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]
[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]
What is the value of 6 in 640.31?
Answer:
hundred
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
A box contains 60 raffle tickets. The tickets are numbered 1 to 60 inclusive. What is P(multiple of 12) when a ticket is drawn from the box?
Answer:
[tex]the \: probability \: is \: \frac{5}{60} \\ when \: simplified \: becomes \: \frac{1}{12} [/tex]
Step-by-step explanation:
The solution is in the image
help solving the sheet
Answer:
[tex]x > - 1 \\ the \: answer \: is \: {d}[/tex]
(06.03 HC)
Solve the following system of equations. Show all work and solutions.
y = 3x2 + 6x + 4
y = −3x2 + 4
By solving the two quadratic equations we found the values (0,-1).
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given equations are;-
y = 3x² + 6x + 4y = -3x² + 4The two equations are solved by equating them and finding the value of x.
3x² + 6x + 4 = -3x² + 4
6x² + 6x = 0
6x ( x+1 ) = 0
6x = 0 so x = 0
( x+1 ) = 0 so x = -1
Therefore solving the two quadratic equations we found the values (0,-1).
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Solve number 8 please
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3
this is shown in graph b
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14r4y6
718y2
OA 24
14
B.
7y3
12
OC. 7r4y4
OD. 2x²y³
Reset
Next
The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The question is incomplete.
The complete question is attached in the picture, please refer picture.
We have an expression:
[tex]= \rm \dfrac{\left(14x^4y^6\right)}{\left(7x^8y^2\right)}[/tex]
[tex]\rm =\dfrac{7\cdot \:2x^4y^6}{7x^8y^2}[/tex]
[tex]\rm =\dfrac{2x^4y^6}{x^8y^2}[/tex]
[tex]\rm =\dfrac{2y^4}{x^4}[/tex]
Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
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Answer:
A
Step-by-step explanation:
imagine explaining
*TIMID* The spinner is divided into 8 equal sections.
A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.
Which two events have the same probability?
options:
P(gray), P(green)
P(red), P(gray)
P(gray), P(purple)
P(yellow), P(gray)
what is the volume of a sphere with an 8 cm radius
Answer:
Approx. 2140.16 cubic centimeters
Step-by-step explanation:
[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]
If f(x)=2(3x-5) when f(x) =74,what is the value of x??
Answer:
x = 14
Step-by-step explanation:
given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives
2(3x - 5) = 74 ( divide both sides by 2 )
3x - 5 = 37 ( add 5 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
What is the area of the target that earns at least 30 points on a throw?
Select the correct from the drop-down menu.
The area of the target that earns at least 30 points on a throw is 379.94 square inches
How to determine the area?The target areas that earn at least 30 points on a throw are:
30-point, 40-point and 50-point
From the question, we have:
So, the total radius is:
r = 3 + 4 + 4
Evaluate the sum
r = 11
The area is then calculated as:
A = πr²
This gives
A = 3.14 * 11²
Evaluate
A = 379.94
Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches
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Answer:
49 square inches
Step-by-step explanation:
edmentum/ Plato hope this helps
Anthony shines a beam of light on the surface of a solution of glycerol at a certain angle. if the angle of refraction is 38°, what is the angle of incidence? the index of refraction of glycerol is 1.47, while that of air is 1.00. a. 38° b. 45° c. 55° d. 65° e. 70°
Answer:
D) 65°
Step-by-step explanation:
Use Snell's Law
[tex]n_1\sin\theta_1=n_2\sin\theta_2\\\\1.00\sin\theta_1=1.47\sin38^\circ\\\\\sin\theta_1=1.47\sin38^\circ\\\\\theta_1=\sin^{-1}(1.47\sin38^\circ)\\\\\theta_1\approx64.83^\circ[/tex]
Thus, the angle of incidence is D) 65°
The full question.the full question you were asking for
Answer:
I'm getting stuck by
[tex] = lim \: \: \: \: \: \: \frac{ {h}^{ \frac{1}{5} } }{h} \\ h > 0[/tex]
Sorry I can't help you out, if you find the answer through FP lmk
What is the solution set for the following equation?
x² = 16
Answer:
[tex]\{4,-4\}[/tex]
Step-by-step explanation:
[tex]~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4[/tex]
Answer:
x = 4
Step-by-step explanation:
x² = 16
We do the opposite of x² , so we [tex]\sqrt{x}[/tex] (square root) both sides
[tex]\sqrt{x}[/tex] = [tex]\sqrt{16}[/tex] = 4
to confirm this, we can square 4, which gets us 16.
Hope this makes sense! Feel free to ask anything further if need be.
- profparis
Could someone help me on this
Answer:
13.) 314.2 in²
15.) 181.5 ft²
Step-by-step explanation:
The area of a circle is found using the equation:
A = πr²
In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).
For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".
A = πr²
A = π(10)²
A = π x (100)
A = 314.2 in²
For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.
diameter = 15.2 ft
radius = 7.6 ft
A = πr²
A = π(7.6)²
A = π x (57.76)
A = 181.5 ft²
John believes that the amount of sleep he gets the night before a test and his score on that test are inversely related. On his first exam, he got eight hours of sleep and scored 70 on the exam. To the nearest tenth, how many hours does John believe he must sleep the night before his second exam so that the average of his two exam scores is an 80?
Answer:
Step-by-step explanation:
ohn will need to sleep for 10.3 hours before his second exam so that the
he average of his two exam scores is an 80.
We were given
8 hours of sleep = 70
To get an average of 80
70+ x = 80
2
Cross multiply:
70+x = 160
x= 160-70
= 90.
If 8 hours of sleep = 70
x hours of sleep = 90
Cross multiply
8× 90 = 70 × x
720 = 70x
x = 720/70
x = 10.2857
≈ 10.3 hours of sleep
Which choice belongs in space 5!!!
A system of two linear inequalities is graphed as shown, where the solution region is shaded. Complete the sentences below by determining whether each point is, or is not. located in the solution region.
The point (-3.2)
The point (-7.5)
The point (2.-5)
The point (-14,6)
All the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.
Therefore all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
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Find the sum.
(12x5 - 3x¹ + 2x - 5) + (8x¹ − 3x³ + 4x + 1)
Answer:
[tex]\left(12x^5-3x^1+2x-5\right)+\left(8x^1-3x^3+4x+1\right)[/tex]
=> Expand
[tex]12x^5-3x^1+2x-5+8x^1-3x^3+4x+1[/tex]
=> simplify and group like terms
[tex]12x^5-3x^3+5x^1+6x-4[/tex]
=> simplify further
[tex]12x^5-3x^3+11x-4[/tex]
When Famke charges her phone, it gains 2 percentage points each minute. When Famke uses her phone, it loses 5 percentage points each minute. Once, Famke used her phone for some time, and then charged it for twice the amount of time she used it. In the end, her phone lost 10 percentage points. How long did Famke use her phone and how long did she charge it?
The population of center city is modeled by exponential function
The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.
The graph is given below.
We know that the exponential function is given as
y = abˣ
For x = 0, y will be 250,000
250,000 = a
For x = 40, y will be 400,000
400,000 = 250,000b⁴⁰
b = 1.0118
Then we have
y = 250,000 (1.0118)ˣ
Then the range of the exponential function will be y ≥ 250,0003.
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Simplify..
Please show work
I give Brainliest
Answer:
[tex]\frac{4}{n^{2} }[/tex]
Step-by-step explanation:
(2nm⁻³) * 2m³n⁻³
First, focus on the coefficients, 2*2 = 4.
Now the n, n * n⁻³ = n⁻²
Now the m, m⁻³ * m³ = m⁰ = 1
Now multiply altogether, 4n⁻²(1) = [tex]\frac{4}{n^{2} }[/tex]
By percent, how much greater do sales of horror books appear to be than sales of cookbooks? how much greater are they in reality? a. there appear to be 50% more sales of horror books than cookbooks, but there are really only about 20% more. b. there appear to be 40% more sales of horror books than cookbooks, but there are really only about 5% more. c. there appear to be 20% more sales of horror books than cookbooks, but there are really only about 10% more. d. there appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.
There appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.
How much greater is the sale of horror books compared to cookbooks?
Percentage is a measure of frequency that expresses the ratio of two numbers as a value out of 100.
Percentage of horror books to comedy books = [(number of horror books sold / number of comedy book) - 1 ] x 100
[(55 / 54) - 1] x 100 = 2%
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0). x – 3 x – 1 x 1 x 3
The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
What is a Polynomial Function ?A function in which there is only positive exponents to the variables are called polynomial function.
The missing image is attached with the answer.
It is given in the question
on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)
The zeroes of the polynomial function are the points at which the curve will cut x axis
For the given graph,
the curve cuts the x-axis at x = 1 and x = 6
the factors will be x - 1 and x - 6
Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
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Answer:
B
Step-by-step explanation:
B
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?
A.
2.8 pounds of apples and 4.8 pounds of grapes
B.
3.3 pounds of apples and 1.3 pounds of grapes
C.
3.8 pounds of apples and 1.8 pounds of grapes
D.
4.5 pounds of apples and 2.5 pounds of grapes
Answer:
A.
Step-by-step explanation:
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?
A.
2.8 pounds of apples and 4.8 pounds of grapes
B.
3.3 pounds of apples and 1.3 pounds of grapes
C.
3.8 pounds of apples and 1.8 pounds of grapes
D.
4.5 pounds of apples and 2.5 pounds of grapes