Answer:
B
Step-by-step explanation:
Since the quadilateral rotated 90° from the third quadrant it then lands back on the second quadrant.
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot.
In 2019, 147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was Xbar=282. We want to estimate the mean score in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation =40.
If we take many samples, the sample mean Xbar varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score in the population. What is the standard deviation of this sampling distribution?
Give your answer to four decimal places.
The standard deviation of the sampling distribution is approximately 0.3292.
What is central limit theorem?The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.
Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.
The standard deviation is given by the formula:
SD = σ/√(n)
Now, substituting the value of σ = 40, n = 147,400 we have:
SD = σ/√(n) = 40/√(147400) ≈ 0.3292
Hence, the standard deviation of the sampling distribution is approximately 0.3292.
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Question 4(Multiple Choice Worth 2 points)
(01.03 LC)
Simplify 4x√3x-x√√3x-2x√√3x.
x√3x
x√9x
2x√6x
2x√√6x³
x√3x is value of x in surds.
What is surds in maths?
A square root, cube root, or other root sign is a part of a surd. Irrational numbers cannot be stated accurately in decimal form because their decimals do not finish or recur. Surds are used to write irrational numbers precisely.Surds are employed when precise calculations call for a root that can be a square root, cube root, or another root. As an illustration, the square root of three and the cube root of two are both roots. It is irrational to use the value 5 2.23606 as a square root of 5. 5 is squared, which is a surd.= 4x√3x-x√√3x-2x√√3x
= √3x ( 4x - x - 2x )
= √3x ( 4x - 3x )
= √3x ( x)
= x√3x
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I need help. Is this right????
Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
0 = 0
1 = 2
2 = 4
3 = 6
20 = 40
Manish writes the functions g(x)= 3 sqrt -x - 72 and h(x) = -(x + 72)^3
Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?
Answer:
\(\sqrt{-(x +72)^3} - 72 = -(3\sqrt x - 72 +72)^3\)
Step-by-step explanation:
Given
\(g(x) = 3\sqrt x - 72\)
\(h(x) = -(x +72)^3\)
Required
Show that they are inverse functions
For g(x) and h(x) to be inverse, then:
\(g(h(x)) = h(g(x))\)
We have:
\(g(x) = 3\sqrt x - 72\)
Replace x with h(x)
\(g(h(x)) = 3\sqrt{h(x)} - 72\)
Substitute value for h(x)
\(g(h(x)) = 3\sqrt{-(x +72)^3} - 72\)
Similarly;
\(h(x) = -(x +72)^3\)
Replace x with g(x)
\(h(g(x)) = -(g(x) +72)^3\)
Substitute value for g(x)
\(h(g(x)) = -(3\sqrt x - 72 +72)^3\)
Recall that:
\(g(h(x)) = h(g(x))\)
So:
\(\sqrt{-(x +72)^3} - 72 = -(3\sqrt x - 72 +72)^3\)
Its c
explanation:
on edge
Can someone plz help me with #66a b and c?
9514 1404 393
Answer:
(a) 6 °C
(b) -3.7 °C
(c) the y-intercept is (0, 10); the x-intercept is (10, 0)
Step-by-step explanation:
(a) The graph tells you the wind chill is 6 °C when the wind speed is 4 m/s.
__
(b) The annotated point on the graph tells you the wind chill is -3.7 °C when the wind speed is 20 m/s.
__
(c) The intercepts are marked on the graph. The y-intercept is (0, 10); the x-intercept is (10, 0). These represent the temperature when the wind speed is 0, and the wind speed when the temperature is 0, respectively.
y = 10 when x = - 4 , find y when x = 12
Answer:
y = -30
Step-by-step explanation:
Set the ratio: \(\frac{x_1}{y_1} = \frac{x_2}{y_2}\)
Let:
\((x_1 , y_1) = (-4 , 10)\\(x_2 , y_2) = (12 , y)\\\)
Plug in the corresponding terms to the corresponding variables:
\(\frac{-4}{10} = \frac{12}{y}\)
First, cross multiply.
\((-4 * y) = (10 * 12)\\-4y = 10 * 12\\-4y = 120\)
Next, isolate the variable, y. Divide -4 from both sides of the equation:
\(\frac{-4y}{-4} = \frac{120}{-4}\\y = \frac{120}{-4}\\y = -30\)
-30 is your answer for y.
In a survey given by camp counselors, campers were asked if they like to swim and if they like to have a cookout. The Venn diagram displays the campers’ preferences. A Venn Diagram titled Camp Preferences. One circle is labeled S, 0.06, the other circle is labeled C, 0.04, the shared area is labeled 0.89, and the outside area is labeled 0.01. A camper is selected at random. Let S be the event that the camper likes to swim and let C be the event that the camper likes to have a cookout. What is the probability that a randomly selected camper likes to have a cookout? 0.04 0.89 0.93 0.99
The probability that a randomly selected camper likes to have a cookout will be 0.93.
How to calculate the probability?From the information given, it was stated that a survey given by camp counselors, campers were asked if they like to swim and if they like to have a cookout.
The Venn diagram displays the campers’ preferences. One circle is labeled S, 0.06, the other circle is labeled C, 0.04, the shared area is labeled 0.89, and the outside area is labeled 0.01.
Therefore, the probability that a randomly selected camper likes to have a cookout will be:
= 0.89 + 0.04
= 0.93
Therefore, the probability that a randomly selected camper likes to have a cookout will be 0.93.
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What are the characteristics of a Traditional economy?
What are the characteristics of a Command economy?
What are the characteristics of a Free Market economy?
What are the benefits of economic freedom?
What are the benefits of competition?
What role does the government play in the US economy?
Answer:
characteristics of a Traditional economy:
A traditional economy is a system that relies on customs, history, and time-honored beliefs. Tradition guides economic decisions such as production and distribution. Traditional economies depend on agriculture, fishing, hunting, gathering, or some combination of the above. They use barter instead of money.
characteristics of a Command economy:
The government creates a central economic plan for all sectors and regions of the country. The government allocates all resources according to the central plan. The central plan sets the priorities for the production of all goods and services.
characteristics of a Free Market economy:
Private property, Freedom of choice, Motivation of self intrest, competition, limited government.
benefits of economic freedom:
It is the principles of economic freedom—free markets, rule of law, protection of private property, and open trade—that boost prosperity and reduce costs so that societies can protect their environments, improve health, and broaden access to education
benefits of competition:
Competition in America is about price, selection, and service. it benefits consumers by keeping prices low and the quality and choice of goods and services high. Competition makes our economy work.
role the government play in the US economy:
The U.S. government's role in the economy can be broken down into two basic sets of functions: it attempts to promote economic stability and growth, and it attempts to regulate and control the economy.
Step-by-step explanation:
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
What else must you know to prove the triangles congruent by ASA? By SAS?
Note that given the proof of congruence by SAS, the only thing remaining to know is that "2 corresponding sides and the corresponding included angles of both triangles are equal."
What is the rationale for the above response?The definition of SAS Congruency is as follows:
The SAS postulate states that two sides and the included angle of one triangle are identical to the corresponding two sides and the included angle of another triangle.
As demonstrated in the triangle, the angles mCAD and mACB are congruent. Thus; m∠CAD ≅ m∠ACB
Because m∠CAD and m∠ACB are congruent, AD and BC must also be congruent. Now, because AC is shared by both triangles ABC and ADC, we get two matching equal sides with the included corresponding equal angles.
As a result, the SAS Congruence postulate is proven.
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Convert these mixed numbers into improper fractions.
2 2/3
1 4/7
(a) 2 2/3 =
3×2+2=8
=8/3
(b) 1 4/7=
7×1+4=11
=11/7
Can you please help me
Answer:
Step-by-step explanation:
The answer is B
Identify terms of 25x-7
Answer:
The terms are 25x and 7
Step-by-step explanation:
4.
49%
6x
7xº
83°
33°
What is the actual distance between
two cities that are 3 inches apart on
a map with a scale of inch = 40 miles?
Answer:
120 miles
Step-by-step explanation:
The triangle above has the following measures.
m
a=7.5 y
Use the 45-45-90 Triangle Theorem to find the length of the hypotenuse. Include correct units.
Show all your work.
The length of the hypotenuse is 10.61 yd.
We have,
The sum of the angles in a triangle = 180
Now,
Two angles are 45.
This means,
The side opposite to angle 45 are equal.
So,
a = c
And,
a = 7.5 yd
Now,
Applying the Pythagorean theorem.
b² = a² + c²
b² = 7.5² + 7.5²
b² = 112.5
b = √112.5
b = 10.61
Thus,
The length of the hypotenuse is 10.61 yd.
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Note: The square is not drawn to scale.
What is the area of the square above?
Answer:
where is the square at I cannot see it
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so she slowed down to a walk. Annie walked for 1/2 of the remaining distance and then ran again for the rest of the way. How far did Annie walk? Write the answer as a simplified fraction.
Answer:
\(\frac{3}{4}\) miles
Step-by-step explanation:
Total length of the trail = \(4\frac{1}{2}\) miles = \(\frac{9}{2}\) miles
She ran the first \(\frac{2}{3}\) of the distance i.e.
The distance for which she ran = \(\frac{2}{3} \times \frac{9}{2} = 3\ miles\)
Remaining distance = Total length of trail minus the distance for which she has already run = \(\frac{9}{2} - 3 = \frac{3}{2}\) miles
Given that: After running, Annie has to walk due to steep nature of the trail, So, Annie walked for \(\frac{1}{2}\) of the remaining distance.
The distance for which Annie walked = \(\frac{1}{2} \times\) Remaining distance
The distance for which Annie walked = \(\frac{1}{2} \times\) \(\frac{3}{2}\) = \(\frac{3}{4}\) miles
So, the answer is: \(\frac{3}{4}\) miles
PLEASE ANSWER ASAP!!!!!
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
19. Quadrilateral ABCD is a parallelogram. What is the measure of ZDAB? Show your work.
A
B.
5x-3
3x+17
D
С
Answer:
∠DAB = 133°
Step-by-step explanation:
Given - Quadrilateral ABCD is a parallelogram. ∠D = 3x + 17, ∠B = 5x - 3
To find - What is the measure of ∠DAB?
Proof -
We know that In a parallelogram, opposite angles are equal.
So, ∠A = ∠C and ∠B = ∠D
Now,
As ∠B = ∠D
⇒3x + 17 = 5x - 3
⇒17 + 3 = 5x - 3x
⇒20 = 2x
⇒x = 10
So,
∠B = 5(10) - 3 = 50 - 3 = 47
⇒∠B = 47°
Also, we know that
∠A + ∠B = 180°
⇒∠A = 180° - ∠B
⇒∠A = 180° - 47° = 133°
⇒∠A = 133°
⇒∠DAB = 133°
15 points help with math pls
Answer:
b or c i think
Step-by-step explanation:
not for sure just a guess
I need to increase my sales by 35% in order to meet my goal for the month you currently have 45 sales and you will need to get blank in order to meet your goal
Answer:
61 sales
Step-by-step explanation:
First find the increase
45 * 35%
45*.35
15.75
Add this to your sales
45+15.75
60.75
Since you cannot have part of a sale, round up
61 sales
Question 7
A canoe rental company charges a $10 deposit plus $8.25 per hour to rent a canoe. A second rental company charges a $12.50 deposit pa
$7.85 per hour to rent a canoe. For what number of hours is the cost for the rental the same?
Let h represent the number of hours. Select the correct values to write an equation to represent the situation.
The number of hours at which both companies' rental costs will be the same is nearly 6 hours.
What is an equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions displayed on the left and right sides have an equal connection. To determine the value of an unknown variable that stands in for an unknown quantity, equations can be solved.
Let the number of hours = h The deposit price at the first canoe rental company = $10
Cost per hour to rent a canoe = $8.25/h
The total cost for rental for the first company is given by
C(A) = 10 + 8.25h
The deposit price at the second canoe rental company = $12.50
Cost per hour to rent a canoe = $7.85/h
The total cost for rental for the second company is given by
C(B) = 12.50 + 7.85h
The number of hours at which both company's rental costs will be the same is given as
C(A) = C(B)
10 + 8.25h = 12.50 + 7.85h
8.25h - 7.85h = 12.50 - 10
0.4h = 2.5
h = 2.5/0.4
h = 6.25
h ≈ 6 hours
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I need to find how much Julia will pay so I have to solve for 3x+5y=50X+5y=31 but if I do that The answer that it gives me I can’t plug it in because is in ( 19/2,43/10) but I need Ane specific answer how can I solve for this ?
The first step is to find the values of x and y. From the information given,
x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below
3x + 5y = 50
x + 5y = 31
From the second equation,
x = 31 - 5y
We would substitute x = 31 - 5y into 3x + 5y = 50. We have
3(31 - 5y) + 5y = 50
By expanding the parentheses, we have
93 - 15y + 5y = 50
- 15y + 5y = 50 - 93
- 10y = - 43
Dividing both sides of the equation by - 10,
- 10y/- 10 = - 43/- 10
y = 4.3
Substituting y = 4.3 into x = 31 - 5y, we have
x = 31 - 5 * 4.3 = 31 - 21.5
x = 9.5
If an adult ticket costs $9.5, then the cost of 4 adult tickets is
4 x 9.5 = $38
Tony bikes 8 miles in one hour. How far would he bike in 5 hours?
Answer:
5*8=40, 40 miles
Answer:
40 miles
Step-by-step explanation:
8 x 5 = 40
sheesh
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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Simplify the expression:
-2(x + 3) + 4(x + y -2) + -y
Answer: -3 x y + x + 4.
Step-by-step explanation:
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
(
\( \sqrt{2 - 1( \sqrt{2 + 3} } \)
(