Look at the stem-and-leaf plot. What is the mode of the numbers? Key 6l4 = 64 A. 100 B. 82 C. 79.73 D. 36
Answers
Option A is correct, the mode of the stem-and-leaf plot is 100.
From the given stem-and-leaf plot.
We get the data as follow 64, 67, 70,70,70,73,76, 79,79, 82,82,85,88, 91,94,94,97,97,100,100,100
Mode is the value which is repeated most often in the data
The most occurring number is 70 and 100.
In the options we have 100.
Hence, option A is correct, the mode of the stem-and-leaf plot is 100.
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Related Questions
Question 6 of 10
A line of best fit was drawn for 6 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 6
B. 3
O C. 4
OD. 5
SUBMIT
Answers
A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 seconds. Consider the following representations. I. -(x - 3)2 + 16 II. -x2 + 8x - 7 III. -(x - 3)2 + 14 IV. -x2 + 6x + 7 Which of the representations are CORRECT for this scenario?
Answers
Answer:
I and IV
Step-by-step explanation:
Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet
The maximum of a function is at x = -b/2a
i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7
The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3
f(3) = -(3-3)² + 16 = 16 > 15
Also f(7) = - (7 - 3)² + 16 = 0
Hence this option is correct
ii) f(x) = -x² + 8x - 7
The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4
f(4) = -4² + 8(4) - 7 = 9 < 15 not correct
Also f(7) = - 7² + 8(7) - 7 = 0
Hence this option is not correct since the maximum f(4) = 9 < 15
iii) f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5
The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3
f(3) = -(3-3)² + 14 = 14 < 15
Also f(7) = - (7 - 3)² + 14 = -2
Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0
iv)f(x) = -x² + 6x + 7
The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3
f(3) = -(3)² + 6(3) + 7 = 16 > 15
Also f(7) = - (7)² + 6(7) + 7 = 0
Hence this option is correct
Which statement is true
Answers
This student incorrectly simplified this expression.
−12m+3+5m
Step 1: −7m + 3
Step 2: −4m
Identify the student's error.
Explain what they did wrong.
Answers
Answer:
/
dont subtract 3 from -7m so it would be -7m + 3
7m
/
= m = 3
Prove whether the following inferences are valid using the long or short truth table method. If they are invalid, give the counterexample.
A > -B |= B > -A
Answers
Answer:
6
Step-by-step explanation:
Please help!!!!!! calculus and integrals!! please show the work as well. i know what the answer is, just not sure how to get there. 25 pts.
Answers
Answer: D) 1/e but you probably know already
Step-by-step explanation:
The Fundamental Theorem of Calculus part 1:
\(\text{Suppose g(x) is continuous on [a,b]} \\\text{Then for all x in [a,b]: }\frac{d}{dx}\int\limits^x_ag(t)dt=g(x)\text{*}\\\text{In this case }g(x)=e^{-x^2}\text{ which is continuous over }[-\infty,\infty]\text{**}\\\text{So it's continuous at x=1 in particular}. \text{ Set a=1 and }b=\infty\\\text{We see that }\frac{d}{dx} f(x)=\frac{d}{dx}\int\limits^x_a {e^{-t^2}} \, dt=e^{-x^2}=g(x)\text{ for all x in }[1,\infty]\)
A similar argument where a= -infinity and b=1 gives you d/dx f(x) = g(x) for all x in [-infinity, 1]. Therefore it holds for all x in [-infinity, infinity]
Also, d/dx (x+1) = 1
Also also, f(1)=0 because the bounds become equal
Thus the limit is an indeterminate form of 0/0; this suggests using L'Hopital's Rule
\(\lim_{x \to 1} \frac{f(x)}{x+1}= \lim_{x \to 1} \frac{\frac{d}{dx} f(x)}{\frac{d}{dx} (x+1)}=\lim_{x \to 1} e^{-x^2}\)
By definition of continuity and the fact that the above g(x) converges at 1, we have
\(= e^{-1^2}=\frac{1}e\)
*there's a proof on proofwiki.org that's too long to fit here, but you probably don't need it
**it's 3am, maybe I'll prove it in the morning if I have time lol. Anyway if want to do it yourself, you can use the limit definition of congruence, drag the limit symbol to the exponent -x^2, etc. Or just apply the theorem without checking for continuity. Tell me if you need more detail (or less rambling)
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Answers
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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Please answer this question!! 30 POINTS AND BRAINLIEST!!
Answers
Answer:
Yes, they are parallel
Step-by-step explanation:
You can rewrite the second equation in slope intercept form to get your answer.
x-2y-8=0
-2y=-x+8
y=1/2x-4
Since the slope of this line is the same as that of the first, they are parallel. Hope this helps!
Answer:
see below
Step-by-step explanation:
Take the second equation and put it in slope intercept form
y = 1/2x+3
x -2y -8=0
Subtract x from each side
x-2y-8-x = 0-x
-2y -8 = -x
Add 8 to each side
-2y -8+8 = -x+8
-2y = -x+8
Divide each side by -2
-2y/-2 = -x/-2 +8/-2
y = 1/2 x -4
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
The slopes are the same and the y intercepts are different which means they are parallel lines. If they had the same slopes and the same y intercept they would be the same line
Sandy wants to make brownies. To make brownies, she needs 2/3 of a cup of flour
per batch of brownies. If Sandy has 6 cups of flour, then how many batches of brownies
can Sandy make?
Answers
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 9
Does anyone know this answer??
Answers
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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What is the slope of the linear function given the following table?
х у-3. 6 -2. 51/3-1. 42/30. 43. 2Help please !
Answers
Let's use two points of the table:
\(\begin{gathered} (x1,y1)=(-1,3) \\ (x2,y2)=(0,1) \end{gathered}\)Let's find the slope using the following formula:
\(m=\frac{y2-y1}{x2-x1}=\frac{1-3}{0-(-1)}=-\frac{2}{1}=-2\)Using the point-slope equation:
\(\begin{gathered} y-y1=m(x-x1) \\ y-3=-2(x+1) \\ y-3=-2x-2 \\ y=-2x+1 \end{gathered}\)-------------------------------------------------
For the 2nd table:
\(\begin{gathered} (x1,y1)=(-3,6) \\ (x2,y2)=(0,4) \end{gathered}\)Let's find the slope:
\(m=\frac{4-6}{0-(-3)}=-\frac{2}{3}\)Using the point-slope equation:
\(\begin{gathered} y-y1=m(x-x1) \\ y-6=-\frac{2}{3}(x+3) \\ y-6=-\frac{2}{3}x-2 \\ y=-\frac{2}{3}x+4 \end{gathered}\)Select the correct answer. Which is the correct solution to the expression 3 + 5^2? You can use a calculator to find the answer. A. 10 B. 13 C. 28 D. 64
Answers
The correct solution to the expression 3 + 5^2 is C. 28.
What is an expression?Mathematically, an expression is a combination of variables with numbers, values, or constants.
Mathematical or algebraic expressions use the mathematical operands like addition (+), subtraction (-), division (÷), multiplication (×), exponents (^), etc.
An algebraic expression does not go with the equal symbol (=), unlike an equation.
3 + 5^2
= 3 + 5 x 5
= 3 + 25
= 28
Thus, an evaluation of the algebraic expression 3 + 5^2 gives the solution as Option C.
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please helppppp. it’s my last question
Answers
Answer:
45°
Step-by-step explanation:
in straight lines that intersect like this, if one angle is 55°, the one opposite to it will be equivalent. this means (x+10)° equals 55°. then you work out what x is. so x+10=55 so we can subtract 10 from both sides to get x=45°
15 5/8 minus 15 4/5 I need to know soon pleaseeeeeee
Answers
Answer:
15 5/8 - 15 4/5
= 15 25/40 - 15 32/40 (15-15 = 0)
= 25/40 - 32/40
= -7/40
Brainliest, please:)
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Answers
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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What is the mathematical expressions : the quotient of a number and six is equal to eighteen
Answers
Answer:
The mathematical expressions is \(\mathbf{\frac{x}{6}=18}\)
Step-by-step explanation:
We need to write mathematical expressions of:
the quotient of a number and six is equal to eighteen
Let the number is x
The mathematical expression is:
\(\mathbf{\frac{x}{6}=18}\)
We can solve the expression to find value of x
\(\frac{x}{6}=18\\x=18*6\\x=108\)
So, the number is 108
question a fair die has six sides, with a number 1,2,3,4,5 or 6 on each of its sides. in a game of dice, the following probabilities are given: the probability of rolling two dice and both showing a 1 is 136; the probability of rolling the first die and it showing a 1 is 16; if you roll one die after another, the probability of rolling a 1 on the second die given that you've already rolled a 1 on the first die is 16. let event a be the rolling a 1 on the first die and b be rolling a 1 on the second die. are events a and b mutually exclusive, independent, neither, or both? select the correct answer below: events a and b are mutually exclusive. events a and b are independent. events a and b are both mutually exclusive and independent. events a and b are neither mutually exclusive nor independent.
Answers
Since the probabilities remain unchanged, events A and B are independent.
Events A and B are independent.
Mutually exclusive events cannot occur at the same time.
In this case, rolling a 1 on the first die (Event A) and rolling a 1 on the second die (Event B) can occur together, so they are not mutually exclusive.
Independent events have no effect on each other's probability.
The probability of rolling a 1 on the first die is given as 1/6.
Given that a 1 has already been rolled on the first die, the probability of rolling a 1 on the second die is still 1/6.
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There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
Answers
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
Suppose a quadratic equation has the form x^2 + x + c = 0. Show that the constant c must be less than 1/4 in order for the equation to have two real solutions.
Answers
Answer:
see explanation
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then for the equation to have 2 real roots , the discriminant must be greater than zero , that is
b² - 4ac > 0
x² + x + c = 0 ← is in standard form
with a = 1, b = 1, c = c , then
b² - 4ac > 0
1² - (4 × 1 × c) > 0
1 - 4c > 0 ( subtract 1 from both sides )
- 4c > - 1
Divide both sides by - 4, reversing the inequality as a result of dividing by a negative quantity.
c < \(\frac{1}{4}\)
Pleeeeeeeeeseee help meee!!!
Answers
Answer:
y= 44
Step-by-step explanation:
you know 4y so just
×11 and you get 44
Please help me!!
I need to get this question
Answers
Answer:
Part A;
- Increases
- Increases
Part B:
- Constant but not 0
- 0
Step-by-step explanation:
Part A:
>> Looking at the speed - time graph of Airplane A, we can see that speed increases from rest at 0 seconds time to time.
>> In graph of airplane B, we can see that distance gradually increases from time at 0 to time at t1. This means that the speed is increasing.
Part B:
>> From time t1 to time t2, we see in airplane A graph that the motion is indicated a horizontal line which means there is constant motion and in constant motion, speed is constant but not zero.
>> In graph of airplane B, we see that the distance between time t1 to time t2 didn't increase. This means that there was no movement. As a result, speed will be 0
1) Calculate the average rate of change for the function g(x)> 4x2- 5x + 1 over each interval.
Answers
a) 19
b) 15
c) 13
Explanation:\(\begin{gathered} 1)\text{ g(x) = }4x^2-5x\text{ + 1} \\ \text{average rate of change = }\frac{g(b)\text{ - g(a)}}{b\text{ - a}} \end{gathered}\)\(\begin{gathered} a)\text{ interval is 2}\le x\le4 \\ b\text{ = 4, a = 2} \\ g(4)=4(4)^2\text{ - 5(4) + 1 = 45} \\ g(2)\text{ = }4(2)^2\text{ - 5(2) + 1 = 7} \\ \text{average rate of change = }\frac{45-7}{4\text{ - 2}} \\ \text{average rate of change = 38/2} \\ \text{average rate of change = 19} \end{gathered}\)\(\begin{gathered} b)\text{ interval is 2}\le x\le3 \\ b\text{ = 3, a = 2} \\ g(3)=4(3)^2\text{ - 5(3) + 1 = 22} \\ g(2)\text{ }=4(2)^2\text{ - 5(2) + 1 }=\text{ 7} \\ \text{average rate of change = }\frac{22-7}{3-2} \\ \text{average rate of change = 15/1} \\ \text{average rate of change = 15} \end{gathered}\)\(\begin{gathered} In\text{terval is }2\le x\le2.5 \\ b\text{ = 2.5, a = 2} \\ f(2.5)=4(2.5)^2\text{ - 5(2.5) + 1 = 13.5} \\ f(2)=4(2)^2\text{ - 5(2) +1 = 7} \\ \text{average rate of change = }\frac{13.5-7}{2.5\text{ - 2}} \\ \text{average rate of change = 6.5/0.5} \\ \text{average rate of change = 13} \end{gathered}\)When you graph y ≥ 2x - 5, what part of the half-plane you will shade?
Correct answer= all my points and brainlist wrong= report and take back my points
Answers
The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
In the given problem, the inequality presented is;
y ≥ 2x - 5
To graph this, we would use a graphing calculator to find the boundary lines and plane.
In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.
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What is the answer for this 2q+10=7q
Answers
q=2
hope this helped!
Answer: q=2
Step-by-step explanation:
2q + 10-10= 7q
2q + 10-10 = 7q- 10
Simplify:
2q= 7q - 10
Subtract 7 q from both sides of the equation:
2q= 7q - 10
2q- 7q =7q- 10-7q
-5q= -10
Divide both sides of the equation by the same term:
-5q= -10
-5q/-5= -10/-5
Cancel terms that are in both the numerator and denominator:
q= -10/-5
Divide the numbers:
q= -10/-5
q=2
What is the constant in the expression?
15x² + 2x – 3
Answers
Answer: -3
Step-by-step explanation:
Answer:
the constant in this expression is 3
Step-by-step explanation:
the constant is a single number
The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
Answers
use the function f(x) = 3x+8. evaluate the function for f(1). 8, 11, 3
Answers
Answer: 11
Step-by-step explanation:
F(1) = 3(1) + 8
F(1) = 3 + 8
F(1) = 11
You just substitute the x in for 1 and solve from there.
In January, it snowed 21 inches. In April, it snowed 0.75 inches. How many more inches did it snow in January than in April
Answers
Answer:20.25
Step-by-step explanation:
The area of a bulletin board is 90 ft. The length is nine feet less than four times the width. Find the length and the width, in feet, of the bulletin board.
width
ft
length
ft
+
Answers
Width = x
Length = 4x - 9
A = L*W, so the equation is:
x(4x - 9) = 90
Solve:
4x^2 - 9x = 90
4x^2 - 9x - 90 = 0
(4x + 15)(x - 6) = 0
4x + 15 = 0
4x = - 15
x = -15/4
^^^ reject because distance can’t be negative
x - 6 = 0
x = 6 ft (width)
Length = 4x - 9
L = 4(6) - 9
L = 24 - 9
L = 15 ft
Check:
A = L*W
90 = 15 * 6
90 = 90
Answer: The length is 15 feet and the width is 6 feet.
simplify 13¹/3+2¹/3-10/2
Answers
The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.
Given
13¹/3+2¹/3-10/2
Required simplified it =?
First, we have simplified both constants separately
13¹/3 = (3 * 13 + 1) / 3 = 40/3
2¹/3 = (3 * 2 + 1) / 3 = 7/3
now the expression become = 40/3 + 7/3 - 10/2
now taking LCM of 3 and 2 which is 6.
= 80/6 + 14/6 - 30/6
now we have to simplify this fraction by dividing by 2 = 64/6
Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.
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