The probability of selecting a credit card customer at random and finding the customer charged between $70 and $83 is 0.4750.
The probability of selecting a credit card customer at random and finding the customer charged between $70 and $83 is 0.4750. This probability can be calculated using the normal distribution. The normal distribution is a probability distribution that is symmetrical and bell-shaped, with the mean (in this case, $70) in the middle of the distribution and the standard deviation (in this case, $10) as the measure of spread.The probability that a customer is charged between $70 and $83 can be calculated using the cumulative distribution function (CDF), which is the probability that a random variable is less than or equal to a given value. To calculate the probability of selecting a customer at random and finding their charge between $70 and $83, we use the CDF to calculate the area between the lower bound of $70 and the upper bound of $83. This area is equal to 0.4750.In conclusion, the probability of selecting a credit card customer at random and finding the customer charged between $70 and $83 is 0.4750. This probability was calculated using the normal distribution and the cumulative distribution function.
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Find the area of the figure. Use 3.14 for pie
The area of the composite figure is equal to 60.75 m² square metres.
How to calculate for the area of the figureThe composite figure is made up of a triangle and two rectangles, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:
area of the triangle = 1/2 × 7.5 m × 3 m
area of the triangle = 1/2 × 22.5 m²
area of the triangle = 11.25 m²
area of smaller rectangle = 4.5 m × 3 m
area of smaller rectangle = 13.5 m²
area of the bigger rectangle = 12 m × 3 m
area of the bigger rectangle = 36 m²
total area of the composite figure = 11.25 m² + 13.5 m² + 36 m²
total area of the composite figure = 60.75 m²
Therefore, the area of the composite figure is equal to 60.75 m² square metres.
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Determine the better deal.
6 candy bars for $7.55 7 candy bars for $8.33 9 candy bars for $10.45
Answer:
Step-by-step explanation:
$7.75/6= $1.29
$8.33/7= $1.19
$10.45/9= $1.16
The better deal in the 9 candy bars for $10.45 because its only $1.16 PER candy bar.
round 287.9412 to the nearest tenth
Answer:
In 287.9412, 9 is at the tenth place. So , the answer is 287.9.
Step-by-step explanation:
ABCD is a kite with AB = BC and AD = DC = AC, the size of
The size of angle BCA is 45 degrees
How to determine the size of angle BCAFrom the question, we have the following parameters that can be used in our computation:
AB = BC and AD = DC = AC
Also, we have
ABC = 90 degrees
Considering the triangle ABC, we have
A + B + C = 180
This is so because the sum of angles in a triangle is 180 degrees
Using the above as a guide, we have the following:
A + 90 + C = 180
So, we have
A + C = 90
Given that
AB = BC
We have
2C = 90
C = 45
Hence, the angle is 45 degrees
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Complete question
ABCD is a kite with AB = BC and AD = DC = AC, What is the size of angle BCA
Carson is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Carson will earn $20 every time one of his songs is played
in a commercial and he will earn $120 every time one of his songs is played in a
movie. Carson's songs were played on 5 more commercials than movies, and his total
earnings on the royalties from all commercials and movies was $38o. Determine the
number of commercials and the number of movies on which Carson's songs were
played.
Carson's songs were played on commercials and
movies.
Answer:
20×5=100
380-100=280
280÷120=2 and 40 remain
40÷20=2
5+2=7commercials 2 moviesBy what percent will a fraction decrease if its numerator is decreased of 85% and the denominator is decreased by 25%. BRAINLEST FOR FIRST CORRECT ANSWER
The percent will the fraction decrease should be 80%.
Important information:
In the case when its numerator is decreased by 85% and its denominator is decreased by 25%
Calculation of percentage:
= (100-85) ÷ (100 - 25)
= 15%÷ 75%
= 20%
Now the decrease in percentage should be
= 100% - 20%
= 80%
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The correct answer is 80%
The accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
The choice of whether to report the median or mean as a measure of central tendency depends on the shape of the data distribution and the purpose of the analysis.
a) Whether the median or mean would be larger depends on the shape of the distribution of the data. The median is the value that separates the lower half of the data from the upper half, and is a robust measure of central tendency, meaning that it is not greatly affected by outliers or extreme values. On the other hand, the mean is the sum of the data values divided by the number of values, and can be influenced by outliers or extreme values.
In the case of the life expectancies data, if the distribution is roughly symmetrical, with most of the values clustered around the center and relatively few outliers or extreme values, then the mean and median would likely be similar in value. However, if the distribution is skewed to one side, with many values concentrated on one end and relatively few values on the other end, then the mean would likely be larger than the median.
b) The best measure to report depends on the context and the purpose of the analysis. In general, the median is a more appropriate measure of central tendency for skewed distributions, since it is not greatly affected by outliers or extreme values. On the other hand, the mean is more appropriate for symmetrical distributions, since it provides a more accurate representation of the typical value of the data.
In the case of the life expectancies data, it may be useful to report both the median and the mean in order to provide a full picture of the central tendency of the data. However, if there are outliers or extreme values that could significantly affect the mean, it would be more appropriate to report the median as the primary measure of central tendency.
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-3x+9y
mx+3y = -4
= -12
Answer: x = 233
Step-by-step explanation:
get the hypotenuse and solve
Remember what we know about vertical angles and solve for x.
Then tell me the measure of Angle R.
The value of x by using vertical angles is 4, and the measure of angle R is 34°
Vertical Angles.Vertical angles are angles that are formed and are opposite of each other when two lines intersect. Vertical angles are congruent angles, it implies that they exhibit the same angle measure. Vertical here refers to the fact that they have the same Vertex (corner point).
From the information given:
6x + 10 = 8x + 2
6x - 8x = 2 - 10
-2x = -8
x = -8/-2
x = 4
The measure of angle R = 6x + 10
= 6(4) + 10
= 24 + 10
= 34°
Therefore, we can conclude that the measure of angle R is 34°
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Perpendicular question
The value of a is obtained as follows:
a = 5.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.When two lines are perpendicular, the multiplication of their slopes is of -1.
Then the equation to obtain the value of a is given as follows:
0.5(1 - a) x 0.5 = -1.
0.25(1 - a) = -1
1 - a = -4
a = 1 + 4
a = 5.
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1.9 unit conversions
Change 24 in./s to ft/min.
After unit conversion of 24 in./s into ft/min the value will be 120
What are Units ?To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.
For example, for length measurement we use units like:- meter, centimeter, inch, miles.
Given that,
A rate = 24 in./s
The value of rate in ft./min. = ?
It is known that,
1 feet = 12 inches
And 1 minute = 60 second
So,
1 inches = 1/12 feet
1 second = 1/60 minute
⇒ 24 in./s
⇒ 24 ((1/12)ft / (1/60)sec)
⇒ 24 × 60/12
⇒ 24 x 5
⇒ 120
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what is the perimeter of this rectangle
18 yd
19 yd
please help
Answer:
= 74cm²
Step-by-step explanation:
Perimeter of a rectangle
[tex] = 2(l) + 2(w)[/tex]
therefore
= 2(18) + 2(19)
= 36 + 38
= 74cm².
A diamond has eight equilateral triangles as faces, as shown. The formula V = 0.4783
approximates the volume (in cubic millimeters) of the diamond, where s is the side length (in millimeters) of each edge. Approximate the length of each edge of the diamond.
V = 161 mm³
The length of each edge of the diamond is about
1
mm.
For a diamond having volume 161 mm³, the value for side length is 7 mm.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The formula for volume of diamond is given as -
V = 0.47 s³
Here, s represents the side length of each edge.
The value for volume of diamond is given as -
Volume = 161 mm³
Plug in the values in the equation -
Volume = 0.47 s³
161 = 0.47 s³
s³ = 161 / 0.47
s³ = 342.553
s = ∛342.553
s = ∛342.553
s = 6.996 mm
Therefore, the side length measures 6.996 ≈ 7 mm.
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help meeeeeeeeee!!!!!
-
a
a
a
a
a
a
a
a
Answer: 13.5 and 7 ; Step-by-step explanation: x + y = 20.5. × - y = 6.5. Hence,. x =20.5 - y. 20.5 - 2y = 6.5. Hence,. 2y = 14. and x = .
The value of x and y is 13.5 and 7.
we have two set of equations as follows,
x + y = 20.5 ....[1]
x - y = 6.5 .....[2]
from equation [1] we have,
x +y = 20.5
x = 20.5 - y .....[3]
put the value of x in equation [2]
x - y = 6.5
20.5 - y -y = 6.5
20.5 - 2y = 6.5
now like terms together ,
-2y = 6.5 -20.5
-2y = -14
now the minus sign cancel by each other,
2y = 14
y = 14/2
y = 7
now, put the value of y in equation [1]
x +y =20.5
x + 7 = 20.5
x = 20.5 - 7
x = 13.5
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Seti held a party. He says, ‘There were 11 people at my party, and everyone had 3 friends there.’ Is this possible? Explain your answer
Answer:
y
Step-by-step explanation: People there: S (Seti), A, B, C, D, E, F, G, H, I, J
friend group:
S is friends with A, B
A is friends with B, C
B is friends with C, D
C is friends with D, E
E is friends with F, G
F is friends with G, H
G is friends with H, I
H is friends with I, J
I is friends with J, S
J is friends with S, A
Answer:
Yes, it is possible
Step-by-step explanation:
Think the people as points in space and the friendship between two people as a line connecting two points.
Then the question is equivalent to asking whether it is possible for all 11 points being connected by lines such that every point is connected to exactly three other points.
Clearly this is possible, since we always have, for each point, ten other points to connect it to, so we can select any three of the ten.
Find out pls this is algebra 1 and I need to know the answer ;)
Answer:|x-1|-2
Step-by-step explanation: see picture below!
-2x + 8
what the
is this
Answer: linear function y=-2x+8, x-intercept at x=4, y-int at (0,8)
Step-by-step explanation:
if it is set equal to y, it is a linear function y=-2x+8, and if set equal to zero, it is an x-intercept to be solved. If an x-intercept is x=4 as you get x by itself by moving the eight over by subtracting and then dividing by negative 2.
(hope it helps as I am not sure what you are asking)
it is -2 multiplied by a number of x, plus 8
Answer:
This is an algebraic expression.
Step-by-step explanation:
This is an algebraic expression. It represents a linear function in which the variable "x" is multiplied by -2 and then 8 is added to the result. In mathematical terms, it represents a straight line with a slope of -2 and a y-intercept of 8. If we were to plot this expression on a graph, the line would have a negative slope and would cross the y-axis at the point (0, 8). The expression can be used to model a relationship between two variables, such as the relationship between time and distance, or between temperature and pressure, for example.
kendra and Dalisay practice archery. kendra hits the target3 times for every 5 misses Dalisay hits the target 5 times for every 7 misses who hits the target more show your work
Kendra hits the target more often than Dalisay.
What is the hit rate?
Hit rate is a measure of performance that calculates the proportion of successful hits or positive outcomes in a given situation, usually expressed as a percentage.
To compare Kendra and Dalisay's performance in hitting the target, we need to determine the hit rate for each archer.
Kendra hits the target 3 times for every 5 misses. The hit rate for Kendra can be calculated as:
hit rate = 3 / (3 + 5) = 3/8
Dalisay hits the target 5 times for every 7 misses. The hit rate for Dalisay can be calculated as:
hit rate = 5 / (5 + 7) = 5/12
Comparing the hit rates, we see that Kendra has a higher hit rate than Dalisay.
Therefore, Kendra hits the target more often than Dalisay.
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2x-3y + z = 6 -
-x+y-2z=-5
3x - y — 3z = −7
solve
Answer: X=3 Y=8/5 and Z= 24/5
Step-by-step explanation:
The actual temperature of Noah's oven is 325 degrees, but his oven thermometer is reading 340 degrees. What is the percent error?
Answer:
Est: 4.62%
Step-by-step explanation:
a farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. if the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 242 ft2, how many feet of fencing should be purchased?
The farmer needs to purchase 66 feet of fencing to enclose the rectangular region.
Let's call the length of the side of the rectangle that is parallel to the barn "2x" (since it is twice the length of the adjacent side), and let's call the length of the adjacent side "x". The length of the side opposite the barn is also "x", since it is opposite to the adjacent side.
We know that the area of the rectangle is 242 ft^2. The formula for the area of a rectangle is:
area = length * width
So we can write an equation for the area of the rectangle in terms of "x":
242 = 2x * x
Simplifying this equation, we get:
242 = 2x²
Dividing both sides by 2, we get:
121 = x²
Taking the square root of both sides, we get:
11 = x
So the adjacent side of the rectangle is 11 feet, and the side parallel to the barn is twice as long, or 22 feet.
To find the amount of fencing needed, we need to add up the lengths of all three sides that are not parallel to the barn. The formula for the perimeter of a rectangle is:
perimeter = 2 * length + 2 * width
Since one of the sides is the barn, we only need to add up the lengths of the two sides opposite the barn:
Perimeter = 2 * length + 2 * width
Therefore, the farmer needs to purchase 66 feet of fencing to enclose the rectangular region.
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what is the area of the long triangle
Check the picture below.
[tex]\cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{A_2}\implies \cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{(36)}\implies \cfrac{8^2(36)}{36}=A_1\implies 8^2=A_1\implies \stackrel{ mm^2 }{64}=A_1[/tex]
a school cafeteria wants to find out what combinations of food and beverage students are ordering. the results are represented in the two-way table below: food pizza hamburger salad water 11 7 23 beverage slurpee 18 19 5 soda 28 12 14 of the students who ordered salad, what is the probability that a student also ordered water? a.) 42 over 137 b.) 23 over 42 c.) 19 over 42 d.) 23 over 137
The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.
What is probability?Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.
From the table, we can see that 23 students ordered a salad and a water.
There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.
Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.
Therefore, the correct answer is d) 23 over 137.
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help I need help somebody help
The expression to represent the total volume of the two storage spaces is s³+12.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the edge of the large cube s feet and the volume of the small cube is 12 ft³.
We know that, the formula to find the cube is side³.
Volume of large cube = s×s×s
= s³
Total volume of the two storage spaces =s³+12
If edge of large cube is 4 feet long, then the volume is
4³ = 64 ft³
Therefore, the expression to represent the total volume of the two storage spaces is s³+12.
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TIME REMAINING
55:32
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
y = y equals StartFraction x Over 14 squared EndFraction.
y = y equals StartFraction x Over 7 squared EndFraction.
y = 7x
y = 14x
Answer:
y = 7x
Step-by-step explanation:
it is simple : x times how much is y ?
2 × ? = 14
? = 7
control
4 × ? = 28
? = 7
identical, so it is correct, and y = 7x is the answer.
PLEASE HELP FAST SHOW WORK AND WILL GIVE BRAINLIEST
The linear function modeled by the table is given as follows:
y = 2x - 5.
The slope and the intercept are given, respectively, by:
m = 2, b = -5.
How to obtain the linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.From the table, when x increases by 5, y increases by 10, hence the slope m is given as follows:
m = 10/5
m = 2.
Hence:
y = 2x + b.
When x = 3, y = 1, hence the intercept b is given as follows:
1 = 6 + b
b = -5.
Hence the function is:
y = 2x - 5.
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help plsssssssssssssssssss
Gale will buy 9 total tickets.
Aquarium = $14.50 each
Wave pool = $16.75 each, but $12.25 each for groups larger than 4
What event will cost the least for 9 tickets?
I need help with this question how is dividing with an area model simlar to multiplaying with an area model differnt
Dividing with an area model and multiplying with an area model are similar in that they both involve partitioning a rectangular area into smaller parts.
However, dividing with an area model involves starting with the total area and then dividing it into equal parts to find the size of each part. For example, to divide 12 by 3, we could draw a rectangle with an area of 12 and then partition it into 3 equal parts to find that each part has an area of 4.
Multiplying with an area model involves starting with the size of the smaller parts and then combining them to find the total area. For example, to multiply 3 by 4, we could draw a rectangle with a width of 3 and a height of 4 and then calculate the area of the rectangle as 12.
So, while both methods involve using an area model, dividing starts with the total area and finds the size of the parts, while multiplying starts with the size of the parts and finds the total area.
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