Answer:
1
Step-by-step explanation:
4/5 is closer to 1
The numbers of licensed drivers in four samples taken from a population of
students are shown in the table below. Which of the following choices is most
likely closest to the percentage of students in the population who are
licensed drivers?
Sample Size Number of Licensed Drivers
25
7
50
12
75
15
100
16
O A. 16%
O B. 20%
ОООО
C. 24%
O D. 28%
Answer:
The answer is 16% I just took the test
Step-by-step explanation:
The coordinate grid shows the plot of four equations.
Which set of equations has (-1, 5) as its solution? (4 points)
1) A and B
2) B an d 3) A and C 4) B and C
Answer:
Your answer would be A and B
Step-by-step explanation:
Simply look for the coordinates on the graph and look for the name of the lines that intersect there.
Which of the following best describes the graph of the logarithmic function
given below?
Answer:
A) Decreasing
Step-by-step explanation:
By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.
Answer:
decreasing
Step-by-step explanation:
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl. The baker then uses 52.76 grams of the mixture in a cake. How many grams of the mixture does the baker still have? Enter your answer in the box.
Answer:
9.045 grams
Step-by-step explanation:
You add the 42.68+19.125=61.805
Then take 61.805- 52.76=9.045
The number of grams of mixture that the baker still has is 9.045 grams.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Given that,
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl.
Total grams of flour and sugar = 42.68 + 19.125 = 61.805 grams
So,
Total weight of the mixture = 61.805 grams
The baker then uses 52.76 grams of the mixture in a cake.
Remaining grams of the mixture = 61.805 grams - 52.76 grams
= 9.045 grams
Hence the remaining mixture is 9.045 grams.
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If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?
What is the simple interest rate for a $5,000 investment
that become $5,750 at the end of 2 years?
Answer: the answer is r=7.5%
Step-by-step explanation:
You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown
Now you plug in what you know:
5750=5000(1+2r)
Divide 5000 on both sides
Decimal form: 1.15=1+2r
Subtract -1 on both sides
0.15=2r
And lastly divide by 2 on both sides
0.075=r
BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE
r=0.075*100=7.5%
Destinee bought a tablet for $599 and enrolled in a data plan for $25
per month. The total amount y Destinee has paid towards the tablet after x months is found using an equation in the form y = mx + b.
What is the value of m and b?
Work out the answer when,
'the largest prime number that is a factor of 35'
is multiplied by
'the smallest prime number that is a factor of 12'.
[2]
Answer:14
Step-by-step explanation:
The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)
the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime
7*2=14
What is the length of AB?
Answer:
AB = 5
Step-by-step explanation:
The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3 times as long, and the side opposite the 90 degree angle will be twice as long.
In this case we just divide 10 by 2
Answer:
5 cm
Step-by-step explanation:
Sin 30° = opposite / hypothenus
= AB / 10cm
AB = sin 30° × 10 cm
= 5 cm
The lines shown below are parallel. If the green line has a slope of-4, what is
the slope of the red line?
10
A.
B. 4
- 10
-5
5
10
C. -4
O
-5
D.
4
10 -
Th slope of red lines is -4
What is parallel lines?Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.
The property of parallel lines states that slope of both lines will b same.
Therefore slope of red lines is -4
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A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $8 the average attendance per game has been 20000. When the price dropped to $6, the average attendance rose to 27000. Assume that attendance is linearly related to ticket price.
Find a function that models the per game revenue in terms of the price
p
R
(
p
)
=
What ticket price would maximize revenue? (round to the nearest cent)
9514 1404 393
Answer:
R(p) = -3500p^2 +48000p . . . revenue function
$6.86 . . . price for maximum revenue
Step-by-step explanation:
The 2-point form of the equation for a line can be used to find the attendance function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (27000 -20000)/(6 -8)(x -8) +20000
y = -3500(x -8) +20000
y = 48000 -3500x . . . . y seats sold at price x
The per-game revenue is the product of price and quantity sold. In functional form, this is ...
R(p) = p(48000-3500p)
R(p) = -3500p^2 +48000p . . . per game revenue
__
Revenue is maximized when its derivative is zero.
R'(p) = -7000p +48000
p = 48/7 ≈ 6.86
A ticket price of $6.86 would maximize revenue.
Question 7 (2 points)
Given the function rule y = 3x + 11, what is the value of x if y = 57
Hint: Make sure you are substituting for the correct variable!
Step-by-step explanation:
3x+11=57
subtract 11 from both sides and you will get this
3x=46
Divide by 3
42/3. 3/3
X=14
Answer:
15.333
Step-by-step explanation:
3x+11=57(y)
reverse the question
so:
57-11=46
46 divided by 3=15.333
so x=15.333
hope that helps
thank you
19NBoli
Help please, due soon!
Step-by-step explanation:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
given r = 10 in
h = 30 in
Volume of Cylinder =
[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]
Please take note in this case choose the answer closest to the answer calculated.
Answer:
9,420 in^3
Step-by-step explanation:
V = π r^2 h
V = 3.14 · 10^2 · 30
V = 3.14 · 100 · 30
V = 3.14 · 3,000
V ≈ 9,420
3 2/6+8 2/9-1 1/2 ?????????
Answer:
10 1/18
Step-by-step explanation:
3 2/6 + 8 2/9 - 1 1/2 = ?
First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.
3 6/18 + 8 4/18 - 1 9/18 = ?
Now, we solve.
3 6/18 + 8 4/18 - 1 9/18 = 10 1/18
A researcher collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed limit was 25mph. The recorded speed of 20 randomly selected vehicles is given below: 2038243927402837293530313219331834213623 Calculate the sample mean, standard deviation, and the median of the above data. (Round to one decimal place
Answer:
[tex]\bar x =29.7[/tex]
[tex]\sigma = 6.81[/tex]
[tex]Median = 30.5[/tex]
Step-by-step explanation:
Given
[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]
[tex]n = 20[/tex]
Solving (a): The sample mean
This is calculated as:
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]
[tex]\bar x =\frac{594}{20}[/tex]
[tex]\bar x =29.7[/tex]
Solving (b): The standard deviation
This is calculated as;
[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]
[tex]\sigma = \sqrt{46.41}[/tex]
[tex]\sigma = 6.81[/tex]
Solving (c): The median
First, sort the data in ascending order
[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]
The position of the median is calculated as:
[tex]Median = \frac{n+1}{2}[/tex]
[tex]Median = \frac{20+1}{2}[/tex]
[tex]Median = \frac{21}{2}[/tex]
[tex]Median = 10.5th[/tex]
The 10.5th item represents the mean of the 10th and 11th item.
So, median is:
[tex]Median = \frac{30+31}{2}[/tex]
[tex]Median = \frac{61}{2}[/tex]
[tex]Median = 30.5[/tex]
Find the radius of a circle with an area of 1,124 sq feet.
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66
Answer:
66 students prefer the zoo
Step-by-step explanation:
I got it correct :)
Suppose a car uses one gallon of gasoline for
every 20 miles traveled.
1) If a gallon of gasoline costs $2.75, how much will the gasoline cost to
travel 300 miles in the car?
A) $22.00
B) $27.50
C) $32.75
D) $41.25
Answer:
the awnser is D) $41.25.
Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)
Answer:
360 mi^3
Step-by-step explanation:
The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values
solid 1
length = 11 - 4 = 7 mi
base area = length x width = 7 x 4 = 28 mi^2
V = base area x height = 28 x 6 = 168 mi^3
solid 2
base area = 8 x 4 = 32 mi^2
V = 32 x 6 = 192 mi^3
total volume: 168 + 192 = 360 mi^3
The volume of the figure is 360 mi³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a figure where two rectangular boxes are put on top of each other.
Volume of a rectangular prism = L × W × H
Here L is the length, W is the width and H is the height.
The dimensions of the rectangular prism are :
Larger one having L = 11 mi, W = 6 mi and H = 4 mi
Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.
Volume of the figure = volume of larger box + Volume of smaller box
= (11 × 6 × 4) + (4 × 6 × 4)
= 264 + 96
= 360 mi³
Hence the volume of the figure is 360 mi³.
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PLZ HELP DUE IN 45 MIN
If angle ABD is 125° and angle BAC is 40° what is the angle measurement of BCA?
Answer: C. 85
Step-by-step explanation: subtract 125 from 40
please show an actual answer i need help
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
If a family has four children, determine the probability that exactly two of the
children are girls
Answer:
the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%
Step-by-step explanation:
Hellpppp me please this test is my whole life and if I don’t pass I’m ruined for life so please HELPPPP MEEEEE
Answer:
expanded form: 5 * 5 * 5
value: 125
Step-by-step explanation:
pls help me on this !!!
Abcdefghijklmnopqrstuvwxyz
Answer:
50
Step-by-step explanation:
22 + 18 = 40
90 - 40 = 50
no way you can round it
Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
Answer:
160%
Step-by-step explanation:
(65 - 25 )/25 x 100% = 160%
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
Jeff and Kathy are in a walking race. Kathy is faster and walks 3 meters per second. Jeff walks 2 meter
per second. Jeff gets a 24 meter head start.
At what time are Kathy and Jeff at the same distance in the race
1. 3 seconds
2. 30seconds
3. 36 seconds
4. 24 seconds
Answer:
24 seconds
Step-by-step explanation:
3*24=72
24*2=48
48+24=72
Pls help I'm sleep deprived rn and am almost done with this
Answer:
6π units
Step-by-step explanation:
Given::
Radius = 4
Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°
Arc length = θ/360 × 2πr
Plug in the values
= 270/360 × 2 × π × 4
= 0.75 × 8 × π
= 6π units
Evaluate 7 + 5^ 2 . 4.
7+5^2.4
=7+47.591348
=54.591348
Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong
Step-by-step explanation:
Answer this please I’ll give brainalist + points, please help!
Answer:
The answer is C because the largest mode is the longest set with the biggest numbers
Step-by-step explanation: