Answer:
The proportion of arriving customers that get taxis is:
= 33%.
Step-by-step explanation:
Rate of arrival of taxis = 1 per minute
In one hour, the number of taxis arriving = 60 (60/1)
Rate of arrival of customers = 3 per minute
In one hour, the number of customers arriving = 180 (60 * 3)
The proportion of arriving customers that get taxis = 60/180
= 0.333
= 33%
b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive. Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.
Mrs Tay baked 45 cookies.
She gave of them to her friends.
How many cookies did she give her friends?
45
Answer:
15cookies
Step-by-step explanation:
Complete question:
Mrs Tay baked 45 cookies. She gave 1/3 of them to her friends. How many cookies did she give her friends?
Given the following
Total cookies = 45 cookies
Fraction of cookies given = 1/3
Amount she gave her friends= 1/3 * 45
Amount she gave her friends= 45/3
Amount she gave her friends= 15cookies
Hence she gave 15cookies to her friends
A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
Pls help asapppppp!!!!!
Solve each inequality. Then check each number that is a solution
I Don't know how to solve this. as nothing has helped so far.
Answer:
3, 6, 4, 5
Step-by-step explanation:
First of all we have to multiply 2 by 2x and -9 and we obtain
4x -18 ≤ 6
now we have to move -18 on the right side of the minor or equal and change its sign
4x ≤ 6 + 18
now we have to added up 6 and 18
4x ≤ 24
At least we have to divide the the two members by 4
x ≤ 6
We have to find the numbers ≤ 6
so the answer is : 3, 6, 4, 5
Answer:
click on 3,6,4,5 are less than or equal to 6
Step-by-step explanation:
2(2×3-9)= -6
2(2×6-9)= 6
2(2×4-9)= -2
2(2×5-9)= 2
2(2×7-9)= 10
GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
Last year, Lien earned $1,600 more than her husband. Together they earned $51,000. How much did each of them earn?
Answer:
Lien: $26300 Her husband: $24700
Step-by-step explanation:
x+(x+1600)=51000
2x+1600=51000
2x=49400
x=24700
Her husband earned 24700
24700+1600=26300
Lien earned 26300
Please help anybody due in LESS THAN 1 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
distance was 35 units and the average speed was 5 units per minute
Step-by-step explanation:
-47--12=-35
the absolute value of -35 is 35
35 units took 7 minutes
so 1 unit takes 35/7 minutes= 5 minutes
Write an equation to model the situation
Jack works at a t-shirt store. Jack earns $150 a week plus $2 for every t-shirt (T) that
he sells. If Jack's gross pay at the end of the week is $320, how many t-shirts did he sell?
If $18 is 45% what is 100%
Answer:
$40Step-by-step explanation:
45% = 45/100 = 0.45
0.45x = 18x = 18/0.45x = 40100% is $40
Answer:
solution given;
let total be X
45% of X=$18
X=$18×100/45=$40
So.100% is $40.
Need help fast please
Answer:
1. 53 97 159
2 6 and 6.1
3. 1 1/3
Estimate the product 28 2/3 x 4/5
Answer:
23.2, exact is 22.9333334
Step-by-step explanation:
28 2/3 is around 28.5 ,4/5 is .75
28.5 * .75 = 21.375
Kelly jarred 30 liters of jam after 8 days. What is the unit rate? Pleasee help
Answer:
3.75 liters a day
Step-by-step explanation:
HELP ME PLS I NEED HELP ALSO I NEED A SHOW YOUR WORK BUT PLS HELP
Step-by-step explanation:
6 y = mx + b
7. m
8. b
9a m = 4 (slope), b = 12(yintercept)
9b -1. 4
9c 8. 21
9d 12. 9
A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 10% of scores B: Scores below the top 10% and above the bottom 58% C: Scores below the top 42% and above the bottom 20% D: Scores below the top 80% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answer:
The numerical limits for a D grade are 58(lower limit) and 61(upper limit).
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3.
This means that [tex]\mu = 67.3, \sigma = 7.3[/tex]
D: Scores below the top 80% and above the bottom 9%
This means that lower bound is the 9th percentile and the upper bound is the 100 - 80 = 20th percentile.
9th percentile:
This is X when Z has a pvalue of 0.09. So X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 67.3}{7.3}[/tex]
[tex]X - 67.3 = -1.34*7.3[/tex]
[tex]X = 57.52[/tex]
Rounding to the nearest whole number, 58.
20th percentile:
This is X when Z has a pvalue of 0.2. So X when Z = -0.84
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 67.3}{7.3}[/tex]
[tex]X - 67.3 = -0.84*7.3[/tex]
[tex]X = 61.17[/tex]
Rounding to the nearest whole number, 61.
The numerical limits for a D grade are 58(lower limit) and 61(upper limit).
here's the question
5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
A: x/11 = 5/9.70
B: 11\$9.70 = x/5
C: 5/11 = x/9.70
D: 11/5 = 9.70/x
E: None of the above
David averaged 12 points per game during his 7th grade basketball season. As a result of practicing all summer, he averaged 20 points per game during his 8th-grade season. By what percent did his average change?
Answer:
20-12=8 the answer is 8 I did the math
Answer:
8 is right
Step-by-step explanation:
because 20-12=8
which expression is equivalent to (2x ^2 +6)(x-2)
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation: First multiply 2x^2 to x - 2 to get 2x^3 - 4x^2
and then multiply 6 to x - 2 to get 6x - 12. Then put the equation together:
2x^3 - 4x^2 + x - 2
A true/false test has 30 questions. A passing grade is 78% or more correct answers.
a. What is the probability that a person will guess correctly on one true/false question?
Answer:
50%
Step-by-step explanation:
one question has 2 possible answers and 1/2 is 50%
You have only quarters and dimes in your pocket. In total, you have 15 coins. The total value of all of these coins is $3.00. How many quarters and how many dimes do you have?
Answer: 10 quarters, 5 dimes.
Explanation:
10 x .25 = 2.50
5 x .10 = .50
2.50 + .50 = 3.00
which dimensions describe a rectangular prism with a volume of
Answer:
Square ⬛ ormmmfjdixxjx
A circular mirror has a diameter of 12 inches. And a circular frame that is 3 inches wide surrounds the mirror. What is the combined area, in square inches, of the circular mirror and the frame? *
Answer:
254.5 in.^2
Step-by-step explanation:
diameter of mirror = 12 in.
radius of mirror = diameter/2 = 13 in. / 2 = 6 in.
frame width = 3 in.
radius if combined mirror and frame = 6 in. + 3 in. = 9 in.
A = (pi)(r^2)
A = 3.14159 * (9 in.)^2
A = 3.14159 * 81 in.^2
A = 254.5 in.^2
A snowstorm dropped three and two-fifths inches of snow. The next day one and four-fifths inches melted, how much snow was left?
Answer:
After the melting there were one and three fifths of snow left.
Step-by-step explanation:
Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:
2/5 = 0.40
4/5 = 0.80
3.40 - 1.80 = X
1.60 = X
0.60 = 3/5
Thus, after the melting there were one and three fifths of snow left.
Find the x- and y-intercepts of the graph of x + 3y = 33. State your answers as
whole numbers or as improper fractions in simplest form.
Answer:
x intercept is (33,0)
y intercept is (0, 11)
Step-by-step explanation:
x-intercepts are found when y=0
x + 3(0)=33,,, x=33
y-intercepts are found when x=0
0 + 3y= 33,,, y=11
Kelly purchased a t-shirt
for 9.99 and a pair of
jeans for $21.50. The
sales tax rate is 8.25%.
What was the total cost
of Kelly's purchase
(including sales tax)?
PLEASE HELP
Answer:
34.09
Step-by-step explanation:
Answer: $34.09
Step-by-step explanation:
The table below shows the number of people, y, who ride a roller coaster at a theme park over a certain number of hours, x, during a day. Write an equation that represents the relationship between the number of people that ride a roller coaster in terms of the time, in hours, as shown in the table. Use the on-screen keyboard to type the correct equation in the box.
Answer:
y = 350x
Step-by-step explanation:
To find the equation of the chart, we simply find the slope and then follow the slope-intercept equation.
Points on the chart: (0, 0) and (1.5, 525)
Slope:
m=(y2-y1)/(x2-x1)
m=(525-0)/(1.5-0)
m=525/1.5
m = 350
Slope-intercept:
y - y1 = m(x - x1)
y - 0 = 350(x - 0)
y - 0 = 350x
y = 350x
Which of the following points( X,Y) lies on the graph of 8X + 2Y = 24
Step-by-step explanation:
don't see any points to pick from however the following would lie on the graph
(0,12)
(1,8)
(2,4)
(3,0)
(4,-4)
What is the measure of ZBAC?
Step-by-step explanation:
50°+50°+θ=180°
θ=180°-100°
θ=80°
Answer:
80 or b....................................
Evaluate The expression 3•2^t when t is 1
Answer:
6
Step-by-step explanation:
[tex]2^{1}[/tex] = 2
3 × 2 = 6
Is the point (-4, 1/2) on the graph of y= 1\2 x-4 ? How do you know? Show your work/thinking.
9514 1404 393
Answer:
no, when x is even, y will be an integer, not a fraction
Step-by-step explanation:
We observe that the coefficient of x is 1/2, so the x-term will be an integer only if x is a multiple of 2 (even). If the x-term is an integer, y will be an integer.
The given point has x even (-4), so we expect y to be an integer. The given point has y=1/2, not an integer, so the point will NOT be on the graph.
