Answer:
c. histogram.
Step-by-step explanation:
In this case, the most appropiate way to show the results is to group the results in classes (for example from score 0 to 20, 21 to 40, 41 to 60, until 100) and show the relative frequency for each of the classes.
An histogram allows us to present this information graphically in the ways described before.
A pie chart is appropiate to show proportions.
A bar graph is similar but for discrete or non-numerical categories.
A dot plot is adequate por discrete classes and small samples.
The mass of Box A and Box B is 0.6 kg. The mass of Box A and Box C is 1.3 kg.
Box C is 3 times as heavy as Box B. Find the mass of Box A.
Answer:
A=0.25
B=0.35
C=1.05
Step-by-step explanation:
1. A+B=0.6
2. A+C=1.3
3. C=3B
2 subtract 1:
C-B=0.73 substituted:
3B-B=0.7B=0.35C=0.7+0.35=1.05A=0.6-0.35=0.25Solve these equations using elimination not substitution? 8x + 3y = 13 3x + 2y = 11 15 Points!
Answer:
x = -1, y = 7
Step-by-step explanation:
8x + 3y = 13
3x + 2y = 11
Multiply the first equation by -2 and the second equation by 3. Then add them.
-16x - 6y = -26
(+) 9x + 6y = 33
--------------------------
-7x = 7
x = -1
Now substitute x = -1 in the first original equation and solve for y.
8x + 3y = 13
8(-1) + 3y = 13
-8 + 3y = 13
3y = 21
y = 7
Answer: x = -1, y = 7
Arrange the steps in the correct order to perform this subtraction problem. 1.1x 10^3 - 4.9 x 10^2
Answer:
The answer is
610Step-by-step explanation:
Factor the expression
We have
(1.1 × 10 - 4.9) × 10²
Multiply the numbers
That's
( 11 - 4.9) × 100
Subtract the terms in the bracket
That's
( 6.1) × 100
Multiply
We have the final answer as
610Hope this helps you
Maurice shot 2 under par, or -2, on each of the first 4 holes of golf. What is his score with respect to par after the fourth hole?
Answer: -8
Step-by-step explanation: If he scored -2 four times then his score would be -8 (-2×4).
Sandy evaluated the expression below. (negative 2) cubed (6 minus 3) minus 5 (2 + 3) = (negative 2) cubed (3) minus 5 (5) = 8 (3) minus 25 = 24 minus 25 = negative 1 What was Sandy’s error?
Answer:
should be - 8
Step-by-step explanation:
-2*-2=4 4*-2=-8
Answer:
Sandy should have evaluated (negative 2) cubed as –8.
Step-by-step explanation:
Got it right on the test
How do I complete this identity? sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?
Answer:
sin(20) sin(40) cos(40) cos(20) [sin(20)*cos(20)]*[sin(40)*cos(40)][sin(2*20)/2]*[sin(2*40)/2][sin(40)*sin(80)]/2what is equation of the line passing through the points (2/5, 19/20) and ( 1/3, 11/12 ) in slope intercept form
Step-by-step explanation:
A(2/5, 19/20) and B (1/3, 11/12)
AB = [tex]\sqrt{(x_{A} - x_{B} )^2 + (y_{A} - y_{B}) ^2][/tex] = [tex]\sqrt{{(2/5- 1/3 )^2 + (19/20 - 11/12) ^2[/tex] = [tex]\sqrt{5} /30[/tex]
Find the expression for h (x)
Answer:
We have this original function given:
[tex] g(x) =-x^2 +5[/tex]
And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:
[tex] h(x)= g(x) -4[/tex]
And replacing we got:
[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]
Step-by-step explanation:
We have this original function given:
[tex] g(x) =-x^2 +5[/tex]
And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:
[tex] h(x)= g(x) -4[/tex]
And replacing we got:
[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]
In which function is x = 2 mapped to 32?
f (x) = Negative 3 x squared minus 4
g (x) = 4 (x + 3) squared minus 68
h (x) = 3 x
j (x) = 2x minus 62
Answer:
B
Step-by-step explanation:
Took the test edge2021
The function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
A function which is at x = 2 mapped to 32
The above statement means that at x = 2
The value of the function will be 32
The given functions:
f(x) = -3x² - 4
Plug x = 2
f(2) = -3(2)² - 4
f(2) = -16
g(x) = 4(x + 3)² - 68
Plug x =2
g(2) = 4(2 + 3)² - 68
g(2) = 100 - 68
g(2) = 32
Thus, the function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
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A committee is to consist of two members. If there are five men and six women
available to serve on the committee, how many different committees can be
formed?
Answer: The number of different committees can be formed = 55.
Step-by-step explanation:
Given: Number of members in a committee = 2
There are five men and six women available to serve on the committee.
That means, Total persons available to serve on the committee = 5+6=11
Number of combinations of choosing r things from n things is given by:-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the number of ways to choose 2 members out of 11 = [tex]^{11}C_2=\dfrac{11!}{2!9!}[/tex]
[tex]=\dfrac{11\times10}{2}=55[/tex]
Hence, the number of different committees can be formed = 55
A candidate in an election lost by 5.4% of the vote. The candidate sued the state and said that more than 5.4% of the ballots were defective and not counted by the voting machine, so a full recount would need to be done. His opponent wanted to ask for the case to be dismissed, so she had a government official from the state randomly select 500 ballots and count how many were defective. The official found 19 defective ballots. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether the candidate's opponent's claim is true and less than 5.4% of the ballots were defective. Identify the p-value, rounding to three decimal places
Answer: p value = 0.057
The candidate's opponent's claim of ( p < 0.054 ) is false
as p (0.057) is greater than 0.054.
(P > 0.054)
Step-by-step explanation:
p₀ = 5.4% = 0.054
Claim: p < 0.054
n = 500
x = 19
To perform z test for the proportion, we use TI-83, TI-83 plus, or TI-84 calculator
first;
Press STAT and go to TESTS menu.
Go to 1-Prop Z TEST
p₀ : 0.054
x : 19
n : 500
Prop < p₀
Calculate.
Output:
z = -1.582933013
p = 0.0567183695
therefore
p value = 0.057 ( three decimal place)
there the candidate's opponent's claim of ( p < 0.054 ) is false
as p > 0.054
The critical value t* gets larger as the confidence level increases. True or false?
Answer:
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
Step-by-step explanation:
For a confidence level given c, we can find the significance level like this:
[tex] \alpha=1 -c[/tex]
And with the degrees of freedom given by:
[tex] df=n-1[/tex]
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
linear equation: y = 5x + 6
quadratic equation: y = x^2 +7x - 18
Show all work to solving your system of equations algebraically.
Answer:
(4, 26)
(-6, -24)
Step-by-step explanation:
Step 1: Substitution
5x + 6 = x² + 7x - 18
Step 2: Move everything to one side
0 = x² + 2x - 24
Step 3: Factor
(x - 4)(x + 6) = 0
Step 4: Find roots
x = 4, -6
Step 5: Plug in x to find y
y = 5(4) + 6
y = 20 + 6
y = 26
y = 5(-6) + 6
y = -30 + 6
y = -24
When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line? A.) Picture 1 B.) Picture 2 C.) Picture 3 D.) Picture 4
Option A.) Picture 1 is correct
in the problem inequality y ≤ 2x − 4 is given
Right graph for boundary line has been asked.
Inequality can be defined as the relation of the equation contains the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
For the boundary line
y ≤ 2x − 4 this equation transform into
y= 2x-4
above equation is the boundary condition for the given inequality
so in picture one the the dotted line shows the information of equation
y= 2x-4.
Thus, the boundary condition for inequality y ≤ 2x − 4 is in picture 1
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Mount Whitney is 3072 m tall convert the height to kilometers
Answer:
3.072km
Step-by-step explanation:
[tex]3072m*(\frac{1km}{1000m} )=3.072km[/tex]
How is copying line segment similar to copying an angle?
Answer:
In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool
Step-by-step explanation:
The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.
hope this helpes
be sure to give brainliest
Answer:
An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.
At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.
The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.
The average weight of men between the ages of 40-49 is 202.3 pounds with a standard deviation of 50.7 pounds. Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal. Group of answer choices
Answer:
33% probability that a man in this age group is under 180 pounds
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 202.3, \sigma = 50.7[/tex]
Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal.
This is the pvalue of Z when X = 180.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 202.3}{50.7}[/tex]
[tex]Z = -0.44[/tex]
[tex]Z = -0.44[/tex] has a pvalue of 0.33
33% probability that a man in this age group is under 180 pounds
At a particular chess club, it is quite common for a chess game to take over two hours to complete. Suppose that the lengths of these games are normally distributed with a mean of 153 minutes and a standard deviation of 45 minutes. Games which last in the longest 1% of all contests are given special recognition on an "Endurance Board" for all club members to see. How long would a game need to last to qualify for the "Endurance Board?"
Answer:
A game would need to be at least 257.67 minutes long to qualify for the Endurance Board.
257.67 minutes = 257 minutes, 40 seconds = 4 hours, 17 minutes, 40 seconds.
Step-by-step explanation:
Games that are given special recognition on the Endurance Board are the games that last in the longest 1% of all games.
If X is the random variable that represents the time a chess game takes before it is completed.
X is said to be normally distributed with
Mean = μ = 153 minutes
Standard deviation = σ = 45 minutes
Let games that last the longest 1% of the time last for a minimum of x' minutes.
P(X > x') = 1% = 0.01
P(X ≤ x') = 1 - P(X > x') = 1 - 0.01
P(X ≤ x') = 0.99
Indicating that such games are longer than 99% of all chess games.
This is a normal distribution problem
Let the z-score for these type of longest games with a minimum duration of x' minutes be z'.
P(X ≤ x') = P(z ≤ z') = 0.99
From the normal distribution table, z' = 2.326
z-score of any value is given as the value minus the mean divided by the standard deviation.
z = (x - μ)/σ
So,
z' = (x' - μ)/σ
2.326 = (x' - 153)/45
x' = (2.326×45) + 153
x' = 104.67 + 153 = 257.67 minutes = 257 minutes, 40 seconds.
Hope this Helps!!!
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + x + 6 a. (0.5, -5.75) c. (-0.5, 6) b. (-0.5, 5.75) d. (0.5, 5.75) Please select the best answer from the choices provided A B C D
Answer:
B. (-0.5, 5.75)
Step-by-step explanation:
Use a graphing calc and analyze the graph for the minimum value (vertex).
HELPSelect the correct answer.
Which table shows a proportional relationship between a and b?
Answer:
B
Step-by-step explanation:
table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin
for B :25/20=30/24=40/32=5/4
y=5/4 x
Find the slope of the line passing through the points (2.5) and (2. -8).
Answer:
Slope of the line using points
(2.5) and (2. -8) is
[tex] \frac{ - 8 - 5}{2 - 2} \\ - \frac{13}{0} \\ = 0[/tex]
Hope this helps you
Answer:
Undefined
Step-by-step explanation:
Well to find the slope with 2 point we’ll need to use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
So with the 2 ordered pairs we have we need to plug them in,
-8 - 5 / 2-2 = -13/0.
So the slope is undefined, because the slope is vertical.
What is the pre-image of vertext A' if the rule that created the image is
Answer:
a
Step-by-step explanation:
the pythagorean theorem suggests it
Suppose the eight committee members are ranked and the seating arrangements matter based off of rank. In how many ways can they sit in the 12 possible chairs
Answer:
They can sit in 19,958,400 ways
Step-by-step explanation:
The seating arrangements matter based off of rank, which means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
8 seats from a set of 12. So
[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = 19,958,400[/tex]
They can sit in 19,958,400 ways
can someone help me with this please??! it would mean a lot
Answer:
Its 2.4, glad to help ya out!
Step-by-step explanation:
Remember v/pi times r squared
how many are 4 x 4 ?
Answer: 16
Step-by-step explanation:
4 * 4 = 16
Write -1/19,7/4,-4/7 in order from least to greatest
Answer:
-1/19,-4/7,7/4
Step-by-step explanation:
first, you divide -1 by 19, which should give you -.0526
then, you divide -4 by 7, which should give you -.5714
after that, you divide 7 by 4, which should give you 1.75
the lesser numbers would be negative, since they are to the left of 0 and positives are to the right.
these steps should give you your answer, which is located above.
I Honestly dont understand all of these that have to do with right angles, tangent lines, and secant lines. can i please get some help.
Answer:
110°
Step-by-step explanation:
m arc DB=140°
m arc BCD=360-140=220°
∠ A=1/2×220=110° (∵angle at the circumference=1/2 angle at the center.)
Yesterday in Juneau, Alaska it was -20 degrees and in San Diego, California it was 75 degrees. What was the difference in temperature between these two cities?
Select one:
a. -20 degrees
b. 55 degrees
c. 75 degrees
d. 95 degrees
Answer: d) 95 degrees
Step-by-step explanation:
To find this solution, simply subtract -20 from 75, to get 95. In reality, you would take the absolute value of one temperature - another, but all you need to remember is to always subtract the smaller temperature from the larger.
Answer:
95 degrees(answer d)
Step-by-step explanation:
when you have a negative temp. and a positive temp., you add the two numbers to find the difference.
that means, 20+75=95 degrees(take away the negative sign when adding only.)
That means the difference between the two temperatures is 95 degrees.
Question 21 of 39
Which of the following situations may be modeled by the equation y = 2x+20
?
A. Carlos has written 18 pages of his article. He plans to write an
additional 2 pages per day
B. Don has already sold 22 vehicles. He plans to sell 2 vehicles per
week
C. Martin has saved $2. He plans to save $20 per month
D. Eleanor has collected 20 action figures. She plans to collect 2
additional figures per month
SI
The correct answer is D. Eleanor has collected 20 action figures. She plans to collect 2 additional figures per month
Explanation:
The purpose of using an equation is to express mathematically a situation or relation. This involves understanding accurately how factors or numbers relate. According to this, the equation y = 2x + 20 fits with the situation described in D because this equation can be used to calculate the number of books Eleanor has as y is the total; 2 is the number of new books per month; x the number of months; and 20 books Eleanor already has.
Also, the number of months is multiplied by 2, and this is added to 20 which equals the total number of books. For example, after three months the total of books would be 26 considering y (total of books) = 2 x 3 (months) + 20 ⇒ 26 books.
What is the value of the 7 in the number 0.873?
Write your answer as a fraction.
Answer: 7/100
Step-by-step explanation:
In this question, ignore the 8 and the 3 and focus on the 7. Isolate it and you will get 0.07. 0.07 in fraction from is 7/100.
The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Given the decimal,
0.873
8 → Tenth place (Fraction value 8/10)
7 → Hundredth place(Fraction value 7/100)
3 → Thousandth place (Fraction value 3/1000)
Since 7 is at hundredth place thus it will be 7/100.
Hence "The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07".
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