Clay surveys members of his class to find out how many televisions they have in their homes. The thirteen responses he received are shown in the table. Which statement is true?
A) The mean is less than the mode.
B) The mean is less than the range.
C) The mean is greater than the range.
D) The median is greater than the mode.
Answer:
B, the mean is less than the range
Step-by-step explanation:
mean is 3.38 (rounded)
mode is 3
median is 3
range is 5
The mean is 3.38 and the range is 5, So the mean is less than the range. Option B is the correct one.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Mean = [tex]\frac{1+5+2+3+4+6+3+1+3+4+3+5+4}{13}[/tex]
The mean is 3.38 (rounded)
Median represents the middle value of the given data when arranged in a particular order.
So, the Median would be 3.
Mode is that number that appears most frequently in the given set of data.
So, the Mode would be 3.
The range of a given set of data is the difference between the largest value and the smallest value.
So, the range would be 5
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ls 2.1 bigger or 2.9?
Answer:
2.9
Step-by-step explanation:
The answer is 2.9
Step by step:
Please help. I will give u brainiest if u have the right answer.
Answer:
Ok this time sense you want explanation i give you it your welcome. -7 1/2 reduces to -15/2 and -15/2 + 2 = -5 1/2 or -11/2
Answer:
-Exact form: 11/2
I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
Solve for x. Enter the solutions from least to greatest.(x+1) 2 −36=0
Answer:
x = 17
Step-by-step explanation:
(17+1) 2 - 36 = 0
If you don't think this is right, you may clarify it by plugging it in and multiplying :) thank you for your time <3
Answer:
x=17
Step-by-step explanation:
Question 14 of 25
In a group of 40 students, the probability that at most 15 of them like to hike
is 54%. What is the probability that at least 16 of them like to hike?
O A. 38%
B. 46%
C. 55%
D. 62%
The probability that at least 16 of them like to hike would be equal to 46% So, option B is correct.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
In a group of 40 students, the probability that at most 15 of them like to hike is 54%. we need to find the probability that at least 16 of them like to hike.
The probability that at most 15 of them like to hike = 54%
Let the total possibility be 100%
then 100 - 54 = 46%
Therefore, the remaining possibility is the probability for at least 16 of them like to hike.
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10
05
15
20
25
60
30
35
40
55
45
50
Which of the following represents the Inter-Quartile Range of data?
A. 26
B. 50
C. 56
D. 10
E. 16
The value that represents the Inter-Quartile Range of data is 26.
Option A is the correct answer.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
From the boxplot, we can see that,
Third quartile = 46
First quartile = 20
Now,
Interquartile range
= Third quartile - First quartile
= 46 - 20
= 26
Thus,
The value that represents the Inter-Quartile Range of data is 26.
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Can someone help me shot this problem
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Solve for t -7/4 =2/5t
Answer:
t = 35/12
Step-by-step explanation:
t - 7/4 = 2/5 t
t = 2/5 t + 7/4
t - 2/5 t = 7/4
t*(1-2/5) = 7/4
t*3/5 = 7/4
t = (7/4)/(3/5)
t = 7*5/4*3
t = 35/12
Factor the expression. 10y+15+25y
Answer:
25y+15
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5(7y+3)
Step-by-step explanation:
Rate of change for y=1x+1
Answer:
The rate of change is 1
Step-by-step explanation:
The rate of change is the same as the slope, the ratio of the change in y over the change in x. In this case, the slope is 1, making the rate of change also 1.
What is the equation of a line, in slope intercept form, that has a y-intercept of -1 and a slope
Answer:
y = 5x - 1
Step-by-step explanation:
Given the following data;
Intercept = -1
Slope = 5
To find the equation of line;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
y = mx + 1
y = 5x - 1
A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?
Round to the nearest tenth if needed.
Answer:
23
Step-by-step explanation:
find g(f(x)) for g(x)=8x+5 and f(x)=4x-4
Answer:
32x - 28 is the answer
Step-by-step explanation:
g(f(x)) = 8(4x - 4) + 4
32x - 32 + 4
The final answer then becomes
32x - 28
There were 80 runners to start a race. In the first half of the race, 1/5 of them dropped out. In the second half of the race, 5/8 of the remaining runners dropped out. How many runners finished the race
Answer:
24
Step-by-step explanation:
Initially, there were 80 runners in the race. After the first half, 1/5 of them dropped out (given). Therefore, 4/5*80=64 runners remain. In the second half, 5/8 of these 64 runners drop out, meaning 3/8*64=24 runners finished the race.
What is the surface area of the triangular prism?
a
152 square feet
b
252 square feet
c
172 square feet
d
264 square feet
I would try and help but I think it's missing the picture
Find two numbers between 100 and 150 with HCF 24
Answer:
120 and 144
120÷24=5
144÷24=6
3.
I NEED HELP
Write the slope-intercept form of the equation for the line.
A. y=[tex]-\frac{8}{7} x-\frac{3}{2}[/tex]
B. y=[tex]-\frac{3}{2}x+ \frac{7}{8}[/tex]
C. y=[tex]-\frac{7}{8}x- \frac{3}{2}[/tex]
D. y=[tex]\frac{7}{8}x- \frac{3}{2}[/tex]
Answer:
Step-by-step explanation:
Algebra Examples
Popular Problems Algebra Graph y=7x-8
y
=
7
x
−
8
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
7
y-intercept:
(
0
,
−
8
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
x
y
0
−
8
8
7
0
y=7x-8
K/-8 = -6
Can I have help on this.
Answer:
=48
Step-by-step explanation:
Answer:
k/-8=-6
k=-6*-8
k=48
Step-by-step explanation:
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
Points A, B, C, and D are connected to form square ABCD. If square EFGH is similar to square ABCD, what are the coordinates of G?
A) (4, 4)
B) (4, 5)
C) (5, 4)
D) (5, 5)
Answer:D
Step-by-step explanation:(5,5)
Answer:
(5,5)
Step-by-step explanation:
Just took the test
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
Is this correct?Check image
Use this diagram to find the required measures. 1 = 30°, 2 = 30°, 3 =
Answer:
120 bud
Step-by-step explanation:
Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.
Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?
Answer:
[tex]C(h)=120*2^h[/tex]
Step-by-step explanation:
[tex]C(h)=120*2^h[/tex]
Doubling needs a base of 2, and the original number will need to be multiplied by two.
I don't know how to explain so I'm going to just give an example.
After an hour the original number doubles so 120*2
After two hours: 120*2*2
After 3 hours: 120*2*2*2
2*2 can also be written as [tex]2^2[/tex]
and 2*2*2 can be written as [tex]2^3[/tex]
So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model in inches?
Answer:
architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model
The value of the height of the scale model in inches is,
⇒ 10.5 inches
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet.
And, The height of the house is 21 feet.
Now, We get;
The value of the height of the scale model in inches is,
⇒ 1.5 / 3 x 21
⇒ 1.5 x 7
⇒ 10.5 inches
Thus, The value of the height of the scale model in inches is,
⇒ 10.5 inches
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12. Solve for x. (6x-21) P Q T S R
Answer:
x=4
Step-by-step explanation:
since its a square, the diagonals cut the right angle in half, so 45
6x - 21 = 45
6x = 24
x=4
Estimate the perimeter and the area of the shaded figure to the nearest whole number in square units.
Answer:
perimeter= 8+8=16 units
area = 16+8=24 sq units
What is the area?
**I will give brainliest to the correct answer**
Answer:
the answer is 648 bc when you multiply all the answer one at a time you would get 648
Can someone answer this
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 1 ]
f(b) = f(1) = 3 ← value of y when x = 1
f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1
average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]