Answer:
68mph
Step-by-step explanation:
divide 187 by the time
187/2.75=68
Evaluate the expression when x =-4
Answer:
22. 2 (-4) = -8
23. (2(-4) + 11) = (-8 + 11) = 3
24. -3 (5 (-4) = -3 (-20) = 60
Answer:
22. 8
23. 3
24. -60
Step-by-step explanation:
You want the values of the given absolute value expressions when x = -4.
23. 2|x|The absolute value function changes the sign to positive, if it isn't already.
2|-4| = 2(4) = 8
24. |2x +11||2(-4) +11| = |-8 +11| = |3| = 3
25. -3|5x|-3|5(-4)| = -3|-20| = -3(20) = -60
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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What is the answer....................................................
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
13 over 4 times 19 over 3
Answer:
13/4*19/3=20.5833 or 20 and 7 over 12
GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?
Answer:
eight point nine seven, 8+0.9+0.07
Step-by-step explanation:
A line in the Cartesian plane passes through the points ( 5,8) and (9, 15) . What's the slope of the line? A. 4/7 B. 7/4 C. - 4/7 D. -7/4
Answer:
B. 7/4
Step-by-step explanation:
To find the slope of the two points (5,8) and (9,15) we have to use the slope formula
\(slope=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\) \(slope=\frac{15-8}{9 -5}\)
\(slope=\frac{7}{4}\) can also be written as a decimal \(slope=1.75\)
Help me please I beg if you can
Answer: The mean is 3780
Step-by-step explanation:
Mean is found by adding all values and dividing the sum by how many values were added.
4250+4019+3895+3739+3401+3376=22680
22680/6=3780
What is x in this equation .3=.5x-.7
By solving the linear equation it can be obtained that
The value of x is 2
What is a linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The given linear equation is
0.3 = 0.5x - 0.7
0.5x = 0.3 + 0.7
0.5x = 1
x = \(\frac{1}{0.5}\)
x = 2
The solution of this linear equation is x = 2
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What number would you add to both sides of x² + 7x = 4 to complete the square?
Answers:
A. 2²
B. 7²
C. 7²/2
D. [⁷/2]²
The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.
What is completing the squares method for solving the quadratic method?Suppose the considered quadratic equation is of the form
ax^2 + bx + c = 0
Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.
The given quadratic equation is
x² + 7x = 4
add 7²/2 to both sides of x² + 7x = 4 to complete the square
7²/2 = 49/4
x² + 7x + 49/4 = 4+ 49/4
(x + 7/2)² = 4+ 49/4
Thus, option C 7²/2 is correct.
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I NEED THIS ASAP PLEASEEE I NEED IT BY 11:59 PM ITS CURRENTLY 11:49 PM
Answer:
a) 20
b) 6
Step-by-step explanation:
That's what I got.
For A, find 2/9 of 90 and for B, find 2/9 of 27
which of these results from a decrease in the price of dvds?
a increase in demand
b decrease in quantity demand
c decrease in demand
d increase in quantity demand
Answer:
D.
Step-by-step explanation:
D.Increase in quantity demand..
Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.
Question 8 options:
A)
6.397
B)
1.766
C)
5.991
D)
5.298
The value of the expression is 1.766.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given the expression,
2\(e^{3x}\) = 400
divide by 2 into both sides
\(e^{3x}\) = 400/2
\(e^{3x}\) = 200
converting the expression in form of a log,
ln(\(e^{3x}\))= ln(200)
log(aⁿ) = n log(a)
3x ln(e) = ln(200) [ln(e) = 1 and ln(200) = 5.2931]
3x = 5.2931
x = 1.766
Hence Option B is correct.
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What is the equation of a line that is parallel to the x-axis and passes through (1, 4)
Answer:
y = 4
Step-by-step explanation:
Since the line if parallel to the x-axis, regardless of the value of x, y will be equal to 4. In general, then, the points on the line are (x,4), where x is any value, including 1.
A team of five people is formed from 8boys and 5 girls.the probability that the team contains at least 3girls is?
Answer:
60%
Step-by-step explanation:
3÷5= .6
.6 = 60%
Answer:
60%
Step-by-step explanation:
Using the same survey methodology: random sample of US residents between the ages of 18 to 75 who registered on the Crest website as a product, Crest wants to divide the research population into heterogeneous groups based on age and gender and then draw a random sample from each of the different groups. Based on this information, what type of sampling method would Crest use to conduct this survey
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
There are 680 students in a school. Of the students, 55% are girls and the rest are boys. How many more girls than boys are there in the school?
What is the inverse operation of the square root?
Answer:
The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Joe’s garden is the shape of a hexagon. The measures of 5 of the angles are: 160°, 90°, 60°, 160°, and 80°. What is the measure of the remaining angle? *
Answer:
1800000000000000000
The solution is 170°, is the measure of the remaining angle.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
The measures of 5 of the interior angles of a hexagon are: 160°, 90°, 60°, 160°, and 80°.
so, we have,
Sum of all the six interior angles of a hexagon is 720°
now, we get,
The sum of 5 interior angles is = 160°+ 90°+ 60°+ 160°+ 80° degrees
= 550
The missing 6th angle is = 720° - 550degrees
=170
So the remaining angle of hexagon is 170 degrees.
Therefore, the answer is 170°.
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86n + 13 ≤ 99 or n + 90 ≥ 97
Does anybody know the answer?
Answer:
n ≤ 1 or n ≥ 7
Step-by-step explanation:
solve each part separately
86n + 13 ≤ 99 ( subtract 13 from both sides )
86n ≤ 86 ( divide both sides by 86 )
n ≤ 1
n + 90 ≥ 97 ( subtract 90 from both sides )
n ≥ 7
solution is n ≤ 1 or n ≥ 7
The graph represents the distance, in kilometers, that a car traveled. How far had the car traveled in 3/4 of an hour?
Answer: if you dont show the picture i cant answer!
Step-by-step explanation:
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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The width of the rectangle is 2 more than the length. The area of the rectangle is 63 square inches. How long is the width?
Answer:
9 inches
Step-by-step explanation:
Area of rectangle= length ×width
Let the length of the rectangle be x inches.
Width of rectangle= (x +2) inches
since the width is 2 more than the length.
63= x(x+2)
63= x(x) +2x
Bringing constant to one side,
x² +2x -63= 0
(x +9)(x-7) = 0 (factorise)
x+9= 0 or x-7= 0
x= -9 or x= 7
(reject)
width of rectangle
= 7+2
= 9 inches
*We reject x= -9 since the length of the rectangle cannot be a negative number.
Solve::::::::::::::::
\( \sf \: 3(y + 3) - 10 = 2y + 1\)
Solution:
3(y + 3) - 10 = 2y + 1
Let us first multiply 3 and (y + 3).or, 3y + 9 - 10 = 2y + 1
Now, transpose the value of 2y to the left hand side and 9 and -10 to the right hand side.or, 3y - 2y = 1 - 9 + 10
Do the addition and subtraction.or, y = 2
So, we have got the value of y.Verification:
LHS
= 3 (2 + 3) - 10
= 3 (5) - 10
= 15 - 10
= 5
RHS
= 2 (2) + 1
= 4 + 1
= 5
So, LHS = RHS [verified]
Answer:
y = 2
Hope you could understand.
If you have any query, feel free to ask.
pretty please help.
What is the area of the of the object above ?
A. 98 sq cm
B. 54 sq cm
C. 104 sq cm
D. 90 sq cm
Answer:
the answer is d
Step-by-step explanation:
basically dived that shape to 2 peices.
the big rectangle: 12 x 7 = 84
the small rectangle: 2 x 3 = 6
then add these 2 areas together to get the area of the object: 84 + 6 = 90
therfore, teh area of the object is 90 sq cm
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drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
Graph the line of the equation 5x+2y=12 using its slope and y-intercept.
Answer:
Step-by-step explanation:
First you need to put the equation in slope intercept form.
y = mx + b (m = slope and b = y-intercept)
5x + 2y = 12 (subtract 5x)
2y = -5x + 12 (now you need to isolate y. Therefore, divide all by 2)
y = -5/2x + 6
Now you have your slope and y-intercept. Your y-intercept will be 6. So on the graph you need to begin at 6 on the y-axis (the line that goes up and down). Make your first point there. Your slope is the -5/2x. Slope is looked at as rise/run. This means from your point at 6, you will go down (down because it's negative. If it was a positive, you would go up, i.e rise) 5 units. Then you will go over to the right 2 units (to the right because it is positive. Only the top one will be negative.) Place your point once you have done that. Then draw a line between those two points.
(note that on my screenshot, the tiny squares do not equal 1 unit. The larger ones with the bunch of tiny squares inside equal 1 unit)
I hope this helped :)
A number is between 40 and 45 . It has prime factors of 2 and 11. What is the number?
Answer: 42
Step by step:
42 is divisible by both 7 and 2
Answer:
44
Step-by-step explanation:
4 x 11 = 44
2 x 22 = 44
Which of the following is true for the function f(x)=2cos(x2)
a. The period is π
b. The period is π2
c. The period is 2π
d. The period is 4π
e. The period is 2
Answer:
c. The period is 2π
Step-by-step explanation:
The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.
For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.
This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)
The function f(x)=−3x+2 is defined over the domain −1
The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.
The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.
The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.
Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.
Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.
Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.
Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.
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Which of the following tables represents a relation that is a function?
x y
−5 −3
−2 3
−1 1
3 4
3 −1
x y
−5 4
−2 4
0 −4
0 4
3 4
x y
−4 0
−2 2
0 3
2 0
3 4
x y
1 −4
1 −2
1 0
1 2
1 4