(b) Claude
goes to school by bus.
The probability that the bus is late is 0.1. If the bus is late, the
probability that Claude is late to school is 0.8.
If the bus is not late, the probability that Claude is late to school is 0.05.
i) Calculate the probability that the bus is late and Claude is late to school.
ii) Calculate the probability that Claude is late to school.
iii) The school term lasts 56 days.
How many days would Claude expect to be late?
Answer:
i) 0.08 = 8% probability that the bus is late and Claude is late to school.
ii) 0.125 = 12.5% probability that Claude is late to school.
iii) Claude should expect to be late for 7 days.
Step-by-step explanation:
i) Calculate the probability that the bus is late and Claude is late to school.
0.1 probability that the bus is late.
If the bus is late, 0.8 probability that Claude is late to school. So
\(p = 0.1*0.8 = 0.08\)
0.08 = 8% probability that the bus is late and Claude is late to school.
ii) Calculate the probability that Claude is late to school.
8%(when the bus is late) plus 0.05 of 1 - 0.01 = 0.9. So
\(p = 0.08 + 0.05*0.9 = 0.08 + 0.045 = 0.125\)
0.125 = 12.5% probability that Claude is late to school.
iii) The school term lasts 56 days. How many days would Claude expect to be late?
12.5% of 56. So
0.125*56 = 7
Claude should expect to be late for 7 days.
The area of a campground is exactly halfway between 25.9 acres and 26 acres. What is the area of the campground?
Answer:
25.95
Step-by-step explanation:
Add the 2 numbers together and divide by 2
The area of a 2D form is the amount of space within its perimeter. The area of the campground is 25.95 acres.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the area of a campground is exactly halfway between 25.9 acres and 26 acres. Therefore, we can write the area of the campground as,
Area of campground = (25.9 acres + 26 acres)/2
= 25.95 acres
Hence, the area of the campground is 25.95 acres.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
What is -9 as a fraction?
Answer:
\(-\frac{9}{1}\)
Step-by-step explanation:
Its just the same way as making positive 9
a fraction, but just add the negative sign.
Hope this helps :))
Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
A triangle has sides (3x + 9), (4x - 8), and (10x +21). What is the perimeter
of the triangle?
Find two square numbers that total 45
Fill in the blank to make equivalent rational expressions
Answer:
4
Step-by-step explanation:
Denominator is multiplied by -1, so the same with numerator.
Linda ate lunch at a deli. She ordered a turkey sandwich and a salad for $13.60. The tax was 6.5%.
What was the total amount Linda paid for her lunch?
Answer:
the answer is 14.48
Step-by-step explanation:
i did the quiz! k12 hope this works
Answer:
$14.48
Step-by-step explanation:
cost x rate (as a decimal) plus the cost = total amount
(13.60 x 0.065) + 13.60 = 14.484 which rounds to $14.84
3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.
Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
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The table shows ordered pairs of the function y=8-2x What is the value of y when x = 8?
Answer:-8
Step-by-step explanation:
8 - 2 × 8
8 - 16
-8
WILL GIVE BRAINLIEST!!!!
What is the exact value of x?
6•2^5x=345
Answer:
Step-by-step explanation:
Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes
Point
Slopes
(1, 1)
(a) 3 (b) -3 (c) -5/2 (d) Undefined
The sketch for slope is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Point Slopes
(1, 1) (a) 3
_ (b) -3
_ (c) -5/2
_ (d) Undefined
a) Now, using slope intercept form
y - 1= 3 (x-1)
y- 1= 3x- 3
y= 3x - 2
(b) Equation of a line has a slope -3 is given by
y - 1= (-3) (x-1)
y-1 = 3- 3x
y = -3x + 4
(c) Equation of a line has a slope -5/2 is given by
y - 1= (-5/2) (x-1)
y-1 = -5/2x + 5/2
y= -5/2x + 7/2
(d) The line parallel to y axis and passes through given point : x=1
"undefined" means the line is vertical.
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pls pls help meee Provide the missing reasons for the proof.
Answer:
b. common sides
c. from statement a and b
d. from statement c
f. from statement e
g. by SAS axiom
h. from statement g
Please please help me out
Answer:
a) A = p(1 + r)^t
b) A = 500(1 + 0.07)^2=572.45
Step-by-step explanation:
t=2 in b)
Evaluate 2x + 3y if x =2 and y = 8
Write as a product 4x^2+y^2-4xy-16
PLEASEEE Help :')
Need by TONIGHT 11:59 EDT
Will give brainliest (need 2+ ppl to answer to give brainliest, I will give the first answer branliest)
Answer:
We can write 4x^2 + y^2 - 4xy - 16 as the product:
(2x - y + 4)(2x - y - 4)
Step-by-step explanation:
To write 4x^2 + y^2 - 4xy - 16 as a product, we can use the technique of completing the square. First, we can rearrange the terms to group the x terms and the y terms:
4x^2 - 4xy + y^2 - 16
Next, we can complete the square for the x terms and the y terms separately. For the x terms, we can add and subtract (2x)^2:
4x^2 - 4xy + (2x)^2 - (2x)^2 + y^2 - 16
Simplifying the first three terms gives:
(2x - y)^2 - (2x)^2 + y^2 - 16
For the y terms, we can add and subtract 16:
(2x - y)^2 - (2x)^2 + (y - 4)^2 - 16^2
Simplifying the second term gives:
-(4x^2) + 16x - (y^2) + 16y - 16^2
Therefore, we can write 4x^2 + y^2 - 4xy - 16 as the product:
(2x - y + 4)(2x - y - 4)
The ceiling in Clara’s basement is 2.75 meters high. When Clara jumps she is 18 centimeters short of being able to touch the ceiling. How high can Clara reach when she jumps?
Clara can reach a height of 2.57 meters when she jumps.
Given information:
The ceiling in Clara’s basement is 2.75 meters high.
When Clara jumps she is 18 centimeters short of being able to touch the ceiling.
We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:
18 centimeters = 0.18 meters
Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:
2.75 meters - 0.18 meters = 2.57 meters
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What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base
diameter of 10cm? Round to the nearest tenths place.
Answer:
549.8 cm (cubed)
Step-by-step explanation:
D3lt4 m4th 4n$wer
help worth 50 points no links and don't comment if you do not know there are people who know that can answer if they want
3.a) Duane's score is transformed to
z = (84 - 80)/4 = 4/4 = 1.00
3.b) Debbie's score transforms to
z = (90 - 85)/8 = 5/8 ≈ 0.63
3.c) Duane's score is relatively higher than Debbie's, since his standardized (z) score is higher. (Recall that z-scores corresponds to a normally distributed random variable with mean 0 and s.d. 1.)
4. The p-th percentile of any given distribution refers to the top (100 - p)% of the distribution. So if the 75th percentile of SAT scores is 1400, this means that the top 25% of scores are above 1400.
Adaim has a goal to reach 70 miles. If he hikes 8 miles per day, how long will it take him to hike all 70 miles?
Glen received 6 birthday cards. If he is equally likely to read the cards in any order, what is the probability he reads the card from his parents and the card from his sister before the other cards?
Parents Card = 1/6 cards Glen has. 1/6=0.1666667, as a percet 16.6667%
Sister Card = 1/6 cards Glen has. 1/6=0.1666667, as a percet 16.6667%
Convert 11/3 from an improper fraction into a mixed number
Answer: 3 2/3
Step-by-step explanation:
how many groups of 3 can u make out of 11 units? Answer: 3
Rest overs: 2/3
Answer:
3 2/3
Step-by-step explanation:
3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3
Minnie shovels driveways to earn money. She can shovel 6 driveways in 4 hours. She earns $19.00 for each driveway. Minnie is saving up to buy a new phone that costs $1 567.50. How many hours does Minnie need to work to earn enough money to purchase the phone? s incorrect. Change your answer and try again! 2 3 4 5 6 7 00
9514 1404 393
Answer:
55 hours
Step-by-step explanation:
The number of hours will be ...
($1567.50) ÷ ($19/driveway) ÷ (6 driveways)/(4 h)
= (1567.50×4)/(19×6) h = 55 h
Minnie needs to shovel driveways for 55 hours to hear enough for the new phone.
Answer:
about 55.275 hours. You may have to round it to the nearest tenth or whole number, whatever the question tells you to do, but this is the approximate answer. PLEASE VOTE BRAINLIEST!
Step-by-step explanation:
What we know:
6 driveways in 4 hours
$19 per driveway
needs $1,567.50
first, find amount of hours for one drive way by setting up a proportion.
6/4 =1/x
x= about 0.67 hours, or about 40.2 minutes.
now think: how many driveways does it take to make 1,567.50?
1,567.50/19= 82.5
This means it will take her 83 driveways to earn all of her money.
The final step is to multiply this by the amount of minutes, and then you will have your answer! 82.5*40.2= 3316.5
Divide by 60 to convert to hours.
Answer: 55.275
write an equation in point slope form of the line through point J(4,1) with slope -4
Answer:
y - 1 = - 4(x - 4)Step-by-step explanation:
Point- slope form:
y - y₁ = m(x - x₁), where m- the slope, (x₁, y₁) - the point on the lineGiven:
m = - 4,Point J(4, 1)Substitute into equation to get the line:
y - 1 = - 4(x - 4)In one year, 30,000 sheep on his property in the next year because of the drought the farmer reduced his flock by 37% The number of sheep he has after the fall in numbers is
Answer:
11,100
Step-by-step explanation:
1% of 30,000 is 300 so if we times 300 by 37 we get 11,100
there is 11,100 sheep in 37%.
hope this helps :)
Identify which of these terms do not belong with the other three: square,circle , hexagon or triangle and explain your reasoning
Answer:
Circle
Step-by-step explanation:
It dosen't have sides
if you borrow $1000 for a year with a credit card that charges 27.9% annual interest, how much interest will you pay for the year?
Answer:
$279.00
Step-by-step explanation:
The sum of twice a number and four times a 2nd number is no more than 15.
The most appropriate choice for Linear Inequation will be given by-
\(x =2, y =1\) and \(x = 1\), \(y=2\) satisfies the inequality
Other possibilities are also there
What is Linear Inequation?
Linear Inequation involves comparision between two values with the help of <, >, \(\leq\), \(\geq\)
Here,
Let the first number be \(x\) and second number be \(y\)
The sum of twice of \(x\) and four times \(y\) is no more than 15
so,
\(2x + 4y < 15\)
There are many possibilities
1) \(x =2, y=1\)
\(2 \times 2 + 4 \times 1 =5 < 15\)
2) \(x =1, y=2\)
\(2 \times 1 + 4\times 2 =10 < 15\)
Other possibilities are also there.
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