Answer:
Part A is 63-7.5
Step-by-step explanation:
Pythagorean theorem: word problems 87U
Jayla takes a piece of plywood that is 36 inches long and uses a table saw to make a 39-inch
cut from corner to opposite corner. What was the width of the piece of plywood?
Answer: 15 inches
Step-by-step explanation:
The pythagorean theorem is a^2 + b^2 = c^2
a is one side of the triangle
b is the other side of the triangle
c is the hypotenuse
In our case, a = 36 inches, b is unknown, and c is 39 inches.
If we use the Pythagorean theorem above (a^2 + b^2 = c^2) we get
36^2 + b^2 = 39^2
b^2 = 39^2 - 36^2
b^2 = 225
b = sqrt(225) = 15 inches
Worth five points! Will mark the first person who answered with an actual correct answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
Triangle ABC is the right triangle.
m∠A = 42°
What is m∠B?
A. 38°
B. 42°
C. 48°
D. 128°
Answer:
C m∠B = 48°
Step-by-step explanation:
The acute angles of a right triangle are complementary which means their sum is 90
m∠A + m∠B = 90
42 + m∠B = 90
m∠B = 48°
The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask? A. How many employees are there in the company? B. Which employee worked the most hours in the last month? C. How many employees worked more than 35 hours this week? D. How many hours does each employee work in a week?
Answer:
B. How many hours does each employee work in a week?
Step-by-step explanation:
A statistical question is one that has a variable answer.
The answers to the question, "How many hours does each employee work in a week?" vary by employee, so it is a statistical question.
I hope i helped
plz help
Solve the right triangle that has legs 3m and 4m.
Answer: 5m,37,53
When you use the pythagorean theorem u find 5m
during the most recent economic recession, the auto industry relied heavily on 0% financing to entice customers to purchase cars. edmonds estimated that 22.4% (0.224) of the car deals involved 0% financing. a random sample of 500 financed car deals found that 98 of them used 0% financing. construct a 95% confidence interval estimate for the population proportion of car deals that used 0% financing. a. (0.1668 , 0.2252) b. (0.1612 , 0.2308) c. (0.1608 , 0.2312) d. (0.1733 , 0.2187)
The 95% confidence interval estimate for the population proportion of car deals that used 0% financing is (0.1612, 0.2308). So, the correct option is (b).
To construct a confidence interval estimate for the population proportion of car deals that used 0% financing, we can use the formula
CI = p ± z√((p(1-p))/n)
where
p = sample proportion = 98/500 = 0.196
n = sample size = 500
z = z-score for the desired level of confidence, which is 95% in this case. From a standard normal distribution table, the z-score corresponding to 95% confidence level is approximately 1.96.
Substituting the values, we get
CI = 0.196 ± 1.96√((0.196(1-0.196))/500)
= (0.1612, 0.2308)
Therefore, the 95% confidence interval estimate is (0.1612, 0.2308).
The correct answer is (b).
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put the following numbers from least to greatest 3/8 square root 7, -pie/2, -square root 3
Answer:
- 1.73205080757 - 1.57079632679 3/8 2.64575131106
Step-by-step explanation:
Answer: -square root 3, -pie/2 , then 3/8 square root 7.
suppose you own a restaurant and have a cook whose ability and attitude you are suspicious of. one of the dishes on the menu is duck cassoulet, which uses duck legs that have been slow fried over a couple of hours in oil that does not exceed a temperature of 175 degrees. this is a time consuming and monotonous process, but one that results in excellent meat that you sell for a large mark-up. you suspect your cook is lazy and doesn't properly monitor and maintain the oil temperature. you take a random sample of 12 duck legs and take them to a forensics lab where you are able to discover the maximum temperature the meat has reached. within your sample the mean maximum temperature of the duck legs is 182 degrees with a standard deviation of 5 degrees. meat cooked precisely to 175 degrees is what your cook is supposed to do. test the claim that your employee is capable (meaning he doesn't over-fry the meat) at the 90% confidence level. what is your conclusion? group of answer choices reject the null hypothesis, accept the alternative hypothesis fail to reject the null hypothesis reject the null hypothesis, reject the alternative hypothesis fail to reject the null hypothesis, fail to reject the null hypothesis fail to reject the null hypothesis, reject the alternative hypothesis
The claim of cooking duck legs at given temperature with mean , standard deviation represents reject the null hypothesis, accept the alternative hypothesis.
Confidence level = 90%
Sample mean maximum temperature x = 182 degrees
Hypothesized population mean μ =175 degrees
Sample standard deviation s = 5 degrees)
Sample size n =12
To test the claim that employee is capable of cooking the duck legs within the required temperature range.
Set up the following hypotheses,
Null hypothesis,
The mean maximum temperature of the duck legs is equal to or greater than 175 degrees (μ ≥ 175).
Alternative hypothesis,
The mean maximum temperature of the duck legs is less than 175 degrees (μ < 175).
Testing whether the mean is less than a specific value (175 degrees), this is a one-tailed test.
To reject or fail to reject the null hypothesis,
Use a one-sample t-test with a significance level of 0.1 .
T-test statistic is ,
t = (x - μ) / (s / √n)
Plugging in the values, we get,
t = (182 - 175) / (5 / √(12))
= 4.85
The degrees of freedom for this test is n-1 = 11.
Using a t-distribution table ( attached table) ,
Critical value for a one-tailed test with 11 degrees of freedom and a significance level of 0.1.
The critical value is 1.363.
Since the calculated t-value 4.85 is greater than the critical value (1.363).
Reject the null hypothesis at the 90% confidence level.
⇒Sufficient evidence to conclude that the mean maximum temperature of the duck legs cooked by your cook is less than 175 degrees.
Employee is not capable of cooking the duck legs within the required temperature range.
Therefore, for the given situation of confidence level of 90% reject the null hypothesis, accept the alternative hypothesis.
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Please answer this is my third time posting this
Answer:
DStep-by-step explanation:
The IQR is 13.5
min=5
Q1=8
Q2(median)=10
Q3=17
max=19
A 20 cm
B
Find the area of an equilateral triangle of each side 12 cm.
a)
4
*
Glidef
A gallon of milk in Oregon costs $2.50. The price of a gallon of milk in Hawaii is 3 times more than the price of a gallon of milk in Oregon. The price in Hawaii can be found by using the expression 3m, where m is the price of milk in Oregon. If Fernando bought a gallon of milk in Hawaii and gave the cashier a $20 bill how much change should he receive?
Answer:
$12.50
Step-by-step explanation:
First, find the cost of a gallon of milk in Hawaii by multiplying 2.50 by 3:
2.5(3)
= 7.5
Then, subtract this from 20:
20 - 7.5
= 12.5
So, Fernando should receive $12.50 in change
Answer:
Step-by-step explanation:
price of milk in Hawaii=
3m=3 x 2.5 =7.5
change=20-7.5
=12.5
K: Marcus has 8 pairs of jeans, 4 pairs of black
pants, 2 pairs of khakis, and 5 pairs of shorts.
What are Marcus's possible outcomes for choosing
a bottom to wear?
Answer:
19 bottoms to wear
Step-by-step explanation:
1. 8+4+2+5
2.8+4+2+5= 19 bottoms
3. if i did something wrong or didnt catch something tell me
A person has 50,000 in taxable income for a year and pays a 10 percent income tax rate equal to 5,000 which action would reduce the amount the person paid in taxes to 1,000
The action that would reduce the amount the person paid in taxes to 1,000 is option (D) Receiving a $49,000 tax credit
In this scenario, the person has $50,000 in taxable income and pays a 10% income tax rate, which amounts to $5,000 in taxes. To reduce the tax liability to $1,000, the person needs to receive a tax credit of $49,000. Tax credits directly reduce the amount of tax owed, whereas tax deductions reduce taxable income.
A tax deduction of $4,000 would lower the taxable income to $46,000, resulting in a lower tax liability of $4,600, which is not low enough to reach $1,000. Therefore, a tax credit of $49,000 is needed to reduce the tax liability to $1,000.
Therefore, the correct option is (D) Receiving a $49,000 tax credit
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The given question is incomplete, the complete question is:
A person has $50,000 in taxable income for a year and pays a 10 percent income tax rate, equal to $5,000. Which action would reduce the amount the person paid in taxes to $1,000?
A.Receiving a $4,000 tax deduction
B.Receiving a $4,000 tax credit
C. Receiving a $49,000 tax deduction
D. Receiving a $49,000 tax credit
Given b (x) = StartAbsoluteValue x + 4 EndAbsoluteValue, what is b (negative 10)?
Answer:
-10
Step-by-step explanation:
Which expression is equivalent to (-3y - x) - (5y - 8x)?
A. -8y - 8x
B. -8y + 7x
C. 2y - 7x
D. 8y + 8x
Answer:
b
Step-by-step explanation:
plz mark brainliest
suppose that a1, a2, a3 form a partition of the universal set s. let b be an arbitrary set. assume that we know |b∩a1|=10, |b∩a2|=20, |b∩a3|=15.
from the given information in the question we have found that all the three sets form a partition from the universal sets
What is a set?
A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
As it is given that there are 3 sets where the first set A1 has 10 or more elements, A2 has 20 or more elements, and A3 has 15 or more elements.
1. If A1 ⊆ A2 and A2 ⊆ A3 then the union of these three will contain the same number of elements as that of A3.
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Find the slope of the line on the graph below
Answer:
\(\frac{6}{5}\)
Step-by-step explanation:
The slope is \(\frac{6}{5}\) because rise/run. You rise up on the graph 6 units, and run 5 units to the right (if the graph went to the left), then your slope would be negative.
Another way to double check this is using the slope formula: \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\).
(-3, -3) is x1, y1. & (2, 3) is x2, y2.
So, plugging that into the formula, we get:
\(\frac{3-(-3)}{2-(-3)}\) = \(\frac{6}{5}\).
Hope that this helped. Have a good day! ☺
*Refresh page, if you cannot see the answer. If it still does not work, the answer is 6/5*
what is the probability that exactly 5 of the students in your study group of 10 have studied in the last week?
Therefore, the probability that exactly 5 of the students in a study group of 10 have studied in the last week is approximately 0.2461.
To calculate the probability that exactly 5 of the students in a study group of 10 have studied in the last week, we need to use the binomial distribution formula:
\(P(X=k) = C(n,k) * p^k * (1-p)^{(n-k)}\)
where:
P(X=k) is the probability that k students have studied in the last week
n is the total number of students in the group (n = 10)
k is the number of students who have studied in the last week (k = 5)
p is the probability that a student has studied in the last week
Since we don't have information about p, let's assume that it's 0.5, which means that each student has an equal chance of having studied in the last week or not.
Using this assumption and plugging in the values, we get:
\(P(X=5) = C(10,5) * 0.5^5 * 0.5^{(10-5)\)
= 252 * 0.03125 * 0.03125
= 0.2461
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Factor completely over the set of integers:
-2x^4 + x^3 + 18x^2 - 9x
Answer:-x( x-3 ) ( x + 3 )(2x-1)
Step-by-step explanation:
Find the first factor which is : -1 ( 2 x 3 -x2- 18 x + 9)
Find the second factor which is : -x( x - 3)( 2 x 2+ 5x - 3)
Find the third which is: -x( x - 3) (x + 3) (2x - 1)
Find the fourth which is : -x ( x - 3) (x + 3 ) (2x - 1)
Find the slope.
y = -3x - 2
m =
= [?]
Answer:
slope m=--3/-2=-3/2 is required slope
Answer:
m = -3, b = -2
Step-by-step explanation:
The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.
The slope is the number before x. For the equation y = -3x - 2, it's -3.
The y-intercept is the constant. For the equation y = -3x - 2, it's -2.
Hence, m = -3, and b = -2.
\(\rule{350}{4}\)
\(\frak{-Dream-}\)
what is the probability of getting at least one sequence of six heads and six tails in a million tosses
The probability of getting one sequence of six heads and six tails in a million tosses is almost certain, approaching 1.
The probability of getting one sequence of six heads and six tails in a million tosses, the concept of complementary probability.
First, let's calculate the probability of not getting any sequence of six heads and six tails in a million tosses.
The probability of not getting a specific sequence of six heads and six tails in a single toss is 1/2²12 since there are 12 coin flips in that sequence. Therefore, the probability of not getting the specific sequence in a million tosses is (1/2²12)²1,000,000.
The probability of not getting any sequence of six heads and six tails in a million tosses can be calculated by subtracting the probability of getting one sequence from 1:
Probability of not getting any sequence = 1 - (1/2²12)²1,000,000
calculate this probability:
Probability of at least one sequence = 1 - (1/2²12)²1,000,000
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Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFraction) Superscript negative 2? Assume m not-equals 0, n not-equals 0. StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction
Question
Which expression is equivalent to \(\frac{4mn}{m^{-2}n^6}\). Assuming \(m \neq 0; n\neq 0\)
Answer:
\(\frac{4m^3}{n^5}\)
Step-by-step explanation:
Given
\(\frac{4mn}{m^{-2}n^6}\)
Required:
Simplify
To simplify this, we start by splitting each individual function
\(\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}\)
From laws of indices
\(\frac{a^x}{a^y} = a^{x-y}\)
SO, the above expression can also be expressed the same way
\(\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}\)
\(\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}\)
\(\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}\)
From laws of indices,
\(a^{-x} = \frac{1}{a^x}\)
So,
\(\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}\)
\(\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}\)
Hence, \(\frac{4mn}{m^{-2}n^6}\) is equivalent to \(\frac{4m^3}{n^5}\)
Answer:
A
Step-by-step explanation:EDGE (not sure if im right let me know)
Sid has overdrawn his bank account and has a balance of -$7.68. He
receives a paycheck for $363.28 and deposits $147.28 of his
paycheck into his account. How much does Sid have in the bank
account after the deposit is made?
Answer:
$139.6
Step-by-step explanation:
1. Sid started off with -7.68 dollars
Now it all depends on how much he deposits into the bank
We know that he received a paycheck of $363.28, but the information we're looking for is the amount deposited, $147.28.
At this point you can just add the starting value with the deposited value:
-7.68 + 147.28
= 139.6
Sid ended up with $139.6 in his bank account after the deposit.
Harry has h candy bars. Jackie has 23 more than Harry. Jackie has 45 candy bars. Set up, solve, and check an algebraic equation involving ADDITION to determine how many candy bars Harry has.
Answer:
Harry has 22 candy bars
Step-by-step explanation: H = J-23
which is H = 45 - 23
an analysis was made of the number of students who dropped general psychology during the fall semester--the number that were observed dropping is shown in the table below which shows the drops classified by four majors. the records office tells us that for the university as a whole there are 8% of the students majoring in education, 28% majoring in business, 42% in arts and sciences, and 22% undecided. if the university expected that there should be no difference among the different majors in dropping this class, what would be the expected percent of business majors who dropped in this sample.
The expected percent of business majors who dropped in this sample would be 28%.
To find the expected percent of business majors who dropped in this sample, we need to first calculate the total number of students in the sample. From the table below, we see that a total of 250 students dropped general psychology during the fall semester.
| Major | Number of Students Dropping |
|--------------------|-----------------------------|
| Education | 20 |
| Business | 70 |
| Arts and Sciences | 120 |
| Undecided | 40 |
| **Total** | **250** |
Next, we need to calculate the expected number of students who would have dropped from each major if there were no difference among the majors. To do this, we can multiply the total number of students who dropped (250) by the percentage of students in each major:
Education: 0.08 x 250 = 20
Business: 0.28 x 250 = 70
Arts and Sciences: 0.42 x 250 = 105
Undecided: 0.22 x 250 = 55
So, if the university expected that there should be no difference among the different majors in dropping this class, the expected percent of business majors who dropped in this sample would be:
Expected percent of business majors who dropped = (Expected number of business majors who dropped / Total number of students who dropped) x 100
= (70/250) x 100
= 28%
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Helen flips a coin and rolls a dice calculate the probability of getting 4 and tails
Answer:
1/12 or 0.0833
Step-by-step explanation:
P(Coin) = 1/2
P(Dice) = 1/6
1/2 × 1/6 = 1/12
Help me pls I’m struggling and I can’t solve it
The perimeter of the rectangle is 4y + 6 (cm).
How can the perimeter equation be found?All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.
The diagram shows a rectangle. All measurements are in centimetres an expression in terms of y, for the perimeter of the rectangle.
The perimeter of the rectangle is
2(y+3)+24
=2y + 6 + 2y = 4y + 6 (cm)
{ the perimeter:
2 * width + 2 * Length}
The perimeter of the rectangle is 4y + 6 (cm).
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Please help me ASAP!
Answer:
B: 153ft2
Step-by-step explanation:
PLEASE HELP ME Check the picture and tell me whats the answer please
Answer:
B
Step-by-step explanation:
Given
(4x + 3)(3x - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis
= 12x² - 16x + 9x - 12 ← collect like terms
= 12x² - 7x - 12
The coefficient of the x- term is - 7 → B
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 29 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile?
The shorter side of the tile is 12.5 inches and the longer side is 15 inches.
Salary paid ra10,000 and still due rs2000
Answer:
20bdnxjxkdjdnddwwuwuwjwjjw