Answer:
-5 degrees
Step-by-step explanation:
In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...
(-2) - 3 = x
-5 = x
Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees
PLEASE HELP ME!!!!! The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.
(a) Write a direct variation equation to represent the cost.
(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation.
(c) Suppose the hotel plans to tip the carpet cleaners $40, how many rooms can the hotel get cleaned for $200 now? Write and solve an equation.
Answer:
Step-by-step explanation:
Select all instances in which the variable described is binomial.
a. A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.
b. A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
c. Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.
d. There are two banking options for customers of ABC Bank, checking or savings. The random variable represents the total number out of 567 customers with a checking account.
e. The probability of drawing an ace in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of ace cards observed.
Answer:
A & C
Step-by-step explanation:
Option A: The variable described is binomial because we have a value of n for the experiment and a probability of success 0.5 due to the fact that we have only two possible outcomes, which satisfy the condition of chances of success and failure.
Option B: The variable described is not binomial because the outcome does not fall under the criteria of chances of success or failure of due to the fact that it's possible we have more than two criteria to classify the product.
Option C: The variable described is binomial because we have a definite value of n = 6 with a probability of success = 0.3. Thus, probability of failure will be 0.7 and so it fulfills the condition of success and failure.
Option D: The variable described is not binomial because we don't know if the 2 options are independent of each other.
Option E: Variable describes is not binomial because the cards are drawn without replacement. Also, each time that king is selected, the probability of another king being selected is not the same and for thus the variable is not a a binomial
A parking lot has two types of parking spaces. Some parking spaces are rectangles and other spaces are parallelograms that are not rectangles. Plans for the parking spaces are drawn on grid paper. a. Which parking space covers the greater area, space A or space B? Show your work.
Parking space B covers a greater area.
Here, we are given a parking lot has two types of parking spaces- rectangles and parallelograms, as shown in the figure.
Let us calculate the area of each figure one by one-
Area of rectangle = length × breadth
Here, length = 6 units
breadth = 3 units
Thus, area of rectangle = 6 × 3
= 18 square units
Now, area of a parallelogram = base × height
here, base = 4 units
height = 5 units
Area = 4 × 5
= 20 square units
⇒ the area of the parallelogram is greater than the rectangle
Thus, parking space B covers a greater area.
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Your question was incomplete. Check for the missing figure below.
write the equation of the line in fully simplified intercept form.
We have the following:
The equation in its slope-intercept form is as follows:
\(\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}\)we calculate the slope like this
\(m=\frac{y_2-y_1}{x_2-x_1}\)replacing the points (-8,11) and (10, 2)
\(m=\frac{2-11}{10-)-8)}=\frac{-9}{10+8}=\frac{-9}{18}=-\frac{1}{2}\)In this case the y-intercept can be seen in the graph y is (0,7), therefore the value of b is 7
Therefore, the equation would be:
\(y=-\frac{1}{2}x+7\)If f(x+1)= 7+3 f(x) and f(1) = -4 find f(3)
\(f(x+1)=7+3f(x)\\\\x=1 \implies f(2)=7+3f(1)=-5\\ \\ x=2 \implies f(3)=7+3f(2)=\boxed{-8}\)
Find the indicated angle measures. Then justify each answer.
m angle 1
Answer:
m<1 is 115°
This is said to be true by the alternate interior angles theorum which describes this situation
Step-by-step explanation:
Answer:
115
Step-by-step explanation:
alternate interior angles
Translate this sentence into an equation.Rhonda's age increased by 22 is 64.Use the variable r to represent Rhonda's age.
r is Rhonda's age
r increased by 22: r + 22
r increased by 22 is (equal to) 64
Equation:
\(r+22=64\)What is B^2+8b+7??
Can someone explain it step by step please?
Step-by-step explanation:
B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).
To factor a quadratic expression, you can use the following steps:
1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).
2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.
In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:
(b+7)(b+1)
This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).
Here is a step-by-step explanation of how to factor B^2+8b+7:
1. The coefficient of the middle term is 8.
2. The constant term is 7.
3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.
4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).
The hour hand of a clock moves −30° every hour. How many degrees does it move in 2 1/5 hours? The hour hand of a clock moves ______ ° in 2 1/5 hours.
The number of degrees does it move in 2 1/5 hours is -66°.
How to calculate the number of degrees?From the information given, it was illustrated that the hour hand of a clock moves −30° every hour.
Therefore, to calculate the degree for a number of hours, we simply have to multiply.
In this case, to get the degree for 2 1/5 hours will be:
= Degree every hour × Number of hours
= -30° × 2 1/5
= -30° × 2.2
= -66°
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please help! thanks so much
Answer:
\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1} = +\infty\)
Step-by-step explanation:
From the graph, we can see that:
\(\displaystyle \lim_{x \to 2} f(x)= -1\)
From direct substitution, we have that:
\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1}\Rightarrow \frac{(2)}{-1+1}\)
Evaluate:
\(\displaystyle = \frac{2}{0}=\text{Und.}\)
Saying undefined (or unbounded) would be correct.
However, note that as x approaches two, the value of y decreases in order to get to negative one. In other words, our function f will always be greater or equal to negative one (you can also see this from the graph). This means that as x approaches two, f(x) will approach -0.99, -0.999 and -0.9999 and so on until it reaches negative one and then go back up. Importantly, because of this, we can state that:
\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1}=\frac{(2)}{-1+1} = +\infty\)
This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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( 70 POINTS!! ) In a survey of 2837 adults, 1436 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
Question
Part 1
A 99% confidence interval for the population proportion is =( ? , ? )
.
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
Part 1:
To construct a 99% confidence interval for the population proportion, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
where the margin of error is determined by the level of confidence and the standard error.
First, let's calculate the sample proportion:
Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)
Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)
Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:
Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)
Now, we can calculate the margin of error:
Margin of Error = Critical Value * Standard Error
The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).
Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)
Finally, we can construct the confidence interval:
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.5066 ± 0.0350
Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)
Part 2:
The correct interpretation is:
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.
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what is the unit rate for the ratio 100 points/ 4 games?
Answer:c
Step-by-step explanation:
If one pan takes 12 cupcakes, how many pans of cupcakes will she have to bake for105 cupcakes?
as per the information given in the question, we can know the following point:
one pan comprises of total 12 cupcakes
the total number of cupcakes to be made are 105 cupcakes.
The information to be derived will be:
the total number of pans of cupcakes to be made to bake 105 cupcakes.
the formula used for the calculation will be as follows:
\(\begin{gathered} Number\text{ of pans=}\frac{\text{total cupcakes}}{\text{cupcakes in 1 pan}} \\ =\frac{105}{12} \\ =8.75\text{ pans or 9 pans approx} \end{gathered}\)therefore, the total pans that are to be made are 9 in total.
Hi Guys
Please answer this question. I will choose Brainliest.
Worth 10 points and it is a Maths question.
Cheers,
Jake
Answer: x² + 3x - 10
Step-by-step explanation:
(x + 5)(x - 2)
Distribute:
x² - 2x + 5x - 10
Combine like terms:
x² + 3x - 10
Hope this helps!
-x+3y=11 pls sove by elimation and step by step
Answer:
Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.
Step-by-step explanation:
The given equation is:
-x + 3y = 11
To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.
Let's suppose we have another equation with x, for example:
2x + 5y = 7
We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:
-2x + 6y = 22 (multiply the first equation by -2)
2x + 5y = 7 (the second equation)
Now we can add the two equations to eliminate x:
-2x + 2x + 6y + 5y = 22 + 7
Simplifying the equation, we get:
11y = 29
Dividing both sides by 11, we get:
y = 29/11
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:
-x + 3y = 11
Substituting y = 29/11, we get:
-x + 3(29/11) = 11
Simplifying the equation, we get:
-x + 87/11 = 11
Subtracting 87/11 from both sides, we get:
-x = 11 - 87/11
Multiplying both sides by -1, we get:
x = 87/11 - 11
Simplifying the equation, we get:
x = (87 - 121)/11
x = -34/11
Colin asked some of his classmates how many minutes they spent working on their math homework last night. He created a dot plot to show his results.
What is the range of the data Colin collected?
20
11
25
5
Answer:
If you can attach it i would be happy to help.
Step-by-step explanation:
*answer will be updated if shown*
Answer:
Step-by-step explanation:
5
Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?
Answer: 4
Step-by-step explanation:
4+3+5=12
12/3=4
Question 6
Find the measure of each angle indicated
The measure of angle ∠B is 44°.
What is the measure of all angles in a triangle?
A triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle to make a 180 angle.
We have given,
Triangle ΔABC,
and angles ∠ACB = 90°, ∠CAB= 46°, and ∠ABC = ?
We know that the sum of all angles in the triangle is 180°.
So,
∠ACB + ∠CAB + ∠ABC = 180°
90° + 46° + ∠ABC = 180°,
136 + ∠ABC = 180°,
∠ABC = 180° - 136
∠ABC = 44°,
Hence, the measure of angle ∠B is 44°.
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What is the mean of the data? *
19, 22, 22, 22, 24, 24, 26, 28, 28, 30
Answer:
24.5
Step-by-step explanation:
add all numbers together =245
divide by numbers in set of data (10)
Find NP from the Rectangle
Answer:
9.16
Step-by-step explanation:
by using pythagorean theorem,
given that PQ=4 and NQ = 2×5 = 10
NP²= NQ²-PQ²
= 10²-4²
= 100-16
= 84
NP = √84 = 9.16
help please look at the screenshot
Answer:
the answer is A 1/3
Step-by-step explanation:
A university class has 29 students: 11 are nursing majors, 9 are accounting majors, and 9 are business majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that two accounting majors will be selected? Do not round the intermediate computations. Round the final answer to three decimal places.
\({\huge{\green{\maltese}}}\)\({\huge{\green{\mathbb{ANSWER}}}}\)
______________________________________
There are a total of 29 students in the class.
The probability of selecting an accounting major on the first pick is 9/29.
After the first pick, there are 28 students remaining, 8 of whom are accounting majors.
The probability of selecting another accounting major on the second pick is 8/28.
Using the multiplication rule, the probability of selecting two accounting majors is:
(9/29) * (8/28) = 0.079
Rounded to three decimal places, the probability is 0.079.
It takes 6 hours to clean and detail a luxury car. During the morning of
cleaning, the workers were able to clean for 4 hours. If the variable t stands
for the amount of time the workers have left to clean the windows after lunch,
which of the following units could apply to this variable?
Evaluate 15/r -1 when r = 5.
The value of the expression 15/r -1 when r = 5 will be equal to 2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 15/r -1. The value of r is 5. The value of the expression at r=5 will be calculated as,
E = 15/r - 1
E = 15 / 5- 1
E = 3 - 1
E = 2
Therefore, the value of the expression 15/r -1 when r = 5 will be equal to 2.
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Help me out hereeeeeeeeeeeee
Answer:
I think the first one
Step-by-step explanation:
Answer:
3 1/7
Step-by-step explanation:
5/6 * 4 = 20/6
20/6 = 3 2/6 = 3 1/3
V=T+ab How do you Solve for A
help will give brainliest
9514 1404 393
Answer:
198 $1.20Step-by-step explanation:
1. Let x represent the number of apples left. Then the number of mangosteens left is 1/6x. The starting number in each case is the number left plus the number sold. The starting numbers are equal, so we have ...
x + 201 = (1/6)x +366
5/6x = 165 . . . . . . . . . . subtract 1/6x+201
x = 198 . . . . . . . . multiply by 6/5
198 apples were left.
__
2. Let d represent the cost of a drink. The cost of a drink is 3/5 the cost of a snack, so the cost of a snack is 5/3 the cost of a drink. Then Alice's total expenditure was ...
15d +12(5/3d) = 42
35d = 42 . . . . . . . . . . . . . . collect terms
d = 42/35 = 6/5 = 1.20 . . . divide by 35
The cost of a drink was $1.20.
Find 3 ratios that are equivalent to the given ratio 12:16
Answer:
answer.3.4,6.8,9.12
Step-by-step explanation:
get 12+16=28.
12/28=6/14=3/7
16/28=8/14=4/7.
now get 3/7and 4/7.
subtruct 3 from 12 and also subtract 4 from 16 to get 9.12
Round 290,200 to the nearest hundred thousand