Answer:
You are right, it is C. -7/3
Step-by-step explanation:
Rise/run - to get from point (2, 5) to (5, -2), you go down 7 and right 3.
But it seems you already know this :)
Find all the angle measures.
please help!!
∠R=∠T= 135° [Opposite Angles of a parallelogram are equal]
∠S+∠R=180° [They form a linear pair, because we know that the angles formed on the same side of a parallelogram are linear pair]
∠S+135°=180°
∠S=180°-135°
∠S= 45°
∠S=∠Q=45° [Opposite angles of a parallelogram are equal]
What year is 7 years after 2003
Answer: 2010
Step-by-step explanation:
2003+7=2010
A certain state uses the following progressive tax rate for calculating individual income tax:
Income
Progressive
Range ($)
Tax Rate
0 - 10,000
3%
10,001 - 50,000
5%
50,001 - 100,000
5.5%
Calculate the state income tax owed on a $40,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
The state income tax owed on a $40,000 per year salary is $1,500.
We have,
To calculate the state income tax owed on a $40,000 per year salary, we need to use the progressive tax rate table given in the problem.
Since $40,000 falls within the income range of $10,001 to $50,000, the tax rate that applies is 5%.
The amount of income that falls within this range.
= $40,000 - $10,000
= $30,000.
So we can calculate the tax owed on this income as:
tax = 5% x $30,000
= 5/100 x 30,000
= $1,500
Therefore,
The state income tax owed on a $40,000 per year salary is $1,500.
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Answer: 1,800
Step-by-step explanation:
what are the next numbers in the series 1, 2, 3, 0, 1, 2, -1
Answer:
Step-by-step explanation:
the pattern is x+1+1-3 so
1+(1)=2
2+(1)=3
3-(3)=0
Alright now the next numbers (assuming the next 3 numbers?)
-2,-3,-4
I’m so sorry if I’m incorrect but I hope this helps
at a deli counter, someone bought 1.6 pounds of ham for 14.50. How much will it cost per one pound
Answer:
approx. 9.06 for one pound
Step-by-step explanation:
textRequest reports that adults 18–24 years old send and receive 128 texts every day. Suppose we take a sample of 25–34 year olds to see if their mean number of daily texts differs from the mean for 18–24 year olds reported by TextRequest.a. State the null and alternative hypotheses we should use to test whether the popu-lation mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.b. Suppose a sample of thirty 25–34 year olds showed a sample mean of 118.6 texts per day. Assume a population standard deviation of 33.17 texts per day and com-pute the p-value.c. With a = .05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.d. Repeat the preceding hypothesis test using the critical value approach.
Testing the hypothesis, we have that:
a)
The null hypothesis is: \(H_0: \mu = 128\)
The alternative hypothesis is: \(H_1: \mu \neq 128\)
b) The p-value of the test is of 0.1212.
c) Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
d) Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
Item a:
At the null hypothesis, we test if the mean is the same, that is, of 128 texts every day, hence:
\(H_0: \mu = 128\)
At the alternative hypothesis, we test if the mean is different, that is, different of 128 texts every day, hence:
\(H_1: \mu \neq 128\)
Item b:
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean.
\(\mu\) is the value tested at the null hypothesis.
\(\sigma\) is the standard deviation of the population.
n is the sample size.
For this problem, the values of the parameters are: \(\overline{x} = 118.6, \mu = 128, \sigma = 33.17, n = 30\)
Hence, the value of the test statistic is:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{118.6 - 128}{\frac{33.17}{\sqrt{30}}}\)
\(z = -1.55\)
Since we have a two-tailed test, as we are testing if the mean is different of a value, the p-value is P(|z| < 1.55), which is 2 multiplied by the p-value of z = -1.55.
Looking at the z-table, z = -1.55 has a p-value of 0.0606
2(0.0606) = 0.1212
The p-value of the test is of 0.1212.
Item c:
Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
Item d:
Using a z-distribution calculator, the critical value for a two-tailed test with 95% confidence level is |z| = 1.96.
Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
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A die is rolled then a letter in the word statistics is randomly selected. What is the probability of at least a three, then the letter S?
1/5
1/4
3/20
29/30
========================================================
Work Shown:
A = probability of getting at least a "3" on the die
A = probability of getting either "3", "4", or "5"
A = 3/6
A = 1/2
B = probability of getting the letter "S" from "Statistics"
B = 3/10 since there are 3 "S" letters out of 10 letters total
C = probability of events A and B happening
C = A*B
C = (1/2)*(3/10)
C = (1*3)/(2*10)
C = 3/20
The probability of at least a three, then the letter S will occur will be 9/60.
Probability of an event is the ratio of number of favorable outcomes to
the total number of outcomes. Probability is a measure of how likely an
event is going to happen. Mathematically, we can write that -
P{E} = (favorable outcomes)/(total number of outcomes)
It is given that a die is rolled then a letter in the word statistics is
randomly selected. Now, the probability of at least a three, then the letter
S will be -
P = 3/6 x 3/10
P = 9/60
Therefore, the probability of at least a three, then the letter S will occur will be 9/60.
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How do you further solve this?
Answer:
x = ±√89-30 cos(55) (everything is under the radical)
and then plug the radical into a calculator and you get two answers:
x1= -9.39873
x2=9.39873
Step-by-step explanation:
i hope this helped :)
which of these is not a linear graph.
Answer:
D
Step-by-step explanation:
It isn't linear
Answer:
D)
Step-by-step explanation:
Linear graphs are straight they can be positive or negative but they do not have bending points in them.
I added a picture to help you
Help fast pls. I will surely mark you brainliest. Answer step by step
Sohail, Amar, raja, and Mira go to a restaurant to have diner, Sohail pays 1/5 of the bills, Amar pays 2/5 of it and the balance is shared equally between raja and Mira. Who pays the maximum amount?
Answer:
Amar pays the most
Step-by-step explanation:
Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.
Hope this helps!
Twice a certain number is subtracted from 9 times the number. The result is 21. Find the number.
Answer:
3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
9x - 2x = 21
7x = 21
x = 3
So, the number is 3.
• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$
Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
How to calculate deductible amount?To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:
Course fees for continuing legal education: $1,400
Airfare and hotel room: $500
Meals provided by the hotel's restaurant: $300
Snacks from the newsstand: $10
To calculate the total amount that Bob can deduct, add up these expenses:
$1,400 + $500 + $300 + $10 = $2,210
Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
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what is square root of 727878
Answer:
853.15766421
Step-by-step explanation:
The square root of 727878 would be 853.15766421.
Answer:
= 853.157664
Step-by-step explanation:
√727878 = 853.157664
...
..
.
Myra wants to save at least $500 by the end of her summer vacation. She currently has $350 saved. She can earn $25 cutting a lawn in her neighborhood. Myra solves an inequality to determine the least number of lawns, n, she must cut to reach her goal.
What number is the minimum number of lawns Myra needs to mow to meet her goal?
Answer:
6 ≤ b.
(6).
Step-by-step explanation:
So, we are given in the question that the amount that Myra wants to say is $500 at the end of her summer vacation and she has saved up to $350. Thus, it remain ($500 - $350 = $150) for completion.
Also, "She can earn $25 cutting a lawn in her neighborhood."
Therefore, the total amount of money she wants to save = a = 500. Then,
Total amount of money, a = 350 + 25b.
500 = 350 + 25b.
=> 500 ≤ 350 + 25b.
Note that the ' =' sign has changed to '≤' sign since she wants that amount(at least). Also, the question specified that she used inequality.
Hence, the amount remaining for it to complete is $150. Therefore;
150 ≤ 25b.
6 ≤ b.
Thus, Myra will have to mow at least 6 lawns
Answer:
6
Step-by-step explanation:
Took the quiz on edge!
1.
I Which number line shows the solution to the inequality
-3x - 5 < -2?
A.
B.
C.
D.
-3 -2 -1 0 1
-3 -2 -1 0 1
0++
0 1
3 -2 -1 0
2 3
2 3
2 3
+++
-3 -2 -1 0 1 2 3
what decimal is equivalent to 41 over 100 (pls keep it simple i am only in 5th grade )
Answer: 0.41
Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).
41 over 100 as a decimal point would be 41 divided by 100
Which produces the equivalent decimal, 0.41
P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)
0.41 = 41%
so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)
Best of luck in 5th grade :)
Find the equation of this line.
y=3/4x+1/4
I hope this helped :)
Answer:
Step-by-step explanation:
two points on the line are (-3,-2) and (5,4)
slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4
eq. of line is
y+2=3/4(x+3)
4y+8=3x+9
4y=3x+9-8
4y=3x+1
y=3/4 x+1/4
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
what is the rule for the reflection
Answer:
(x,y) ---> (-x,y) 2nd choice
Step-by-step explanation:
reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.
The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
In the given graph, ABCD is the original figure and A'B'C'D' is the image.
Here, A(-2, 1)→A'(2, 1)
B(-4, 1)→B'(4, 1)
C(-4, 5)→C'(4, 5)
D(-2, 4)→D'(2, 4)
Here, the rule is (x, y)→(-x, y)
Therefore, option B is the correct answer.
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Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch's 200 Cows. Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) • Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val's margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dey)//N
The required margin of error for Val is 9.8 pounds.
What do we mean by Margin of error?The margin of error is a statistic that describes how much random sampling error there is in survey results.
One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.
Multiplying a key factor (for a specific confidence level) and the population standard deviation yields the calculation for the margin of error.
The square root of the sample's observational count is then used to divide the outcome.
So, the following equation provides the margin of error:
M = 1.96 s/√n
Now, calculate as follows:
M = 1.96 s/√n
M = 1.96 50/√100
M = 9.8
Therefore, the required margin of error for Val is 9.8 pounds.
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Correct question:
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) / square root of N
Simplifying radicals maze
Answer:
sihdhdhdjjdjdjdjdjsjjsjejdjje
The solution to the radical expression √36 is 6.
What is a radical expression?A radical expression is a mathematical expression that contains a radical symbol (√), which represents the square root (or nth root) of a number or variable. The radical symbol is typically followed by a number or expression inside a set of parentheses, which indicates what is being rooted.
The square root of 36 is a number that, when multiplied by itself, equals 36. In this case, we know that the number is 6, because 6 x 6 = 36.
The square root of 36 is simply:
√36 = 6
So the solution of the given radical expression √36 is 6.
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The complete question is given below.
Solve the radical expression: √36.
find the area of each plane figure 10.5 km 3.7 km
Answer:
28.4
Step-by-step explanation:
10.5x2= 21
3.7x2= 7.4
21+7.4 = 28.4
12=x÷8
I need help please
Answer:
x=96
Step-by-step explanation:
25. Maria recorded the heights of 2 plants for
4 weeks.
Height (centimeters)
6
543 2
A. 1 cm
0 1 2 3 4
Week
How much did plant 2 grow from week 1 to
week 2?
B. 1 cm
C. 2 cm
Plant Growth
D. 42 cm
Plant 1
Plant 2
The height of Plant 2 in week 1 is 6 centimeters and in week 2 is 543 centimeters. To find how much it grew from week 1 to week 2, subtract the height in week 1 from week 2. The answer is not one of the options given in the question, so we cannot select an answer.
What is height?Height is a measurement of how tall or high something is, usually taken from the bottom to the top of an item or from a reference level to the top of an object. It is a basic geometric notion that is widely used to explain the physical dimensions of objects such as people, buildings, trees, and mountains. Height is often measured in centimeters, meters, feet, or inches, depending on the measurement method employed.
How much did plant 2 grow from week 1 to week 2?The height of Plant 2 in week 1 is 6 centimeters, and its height in week 2 is 543 centimeters. To find how much Plant 2 grew from week 1 to week 2, we subtract the height in week 1 from the height in week 2:
543 cm - 6 cm = 537 cm
Therefore, Plant 2 grew by 537 centimeters from week 1 to week 2. The answer is not one of the options given in the question, so we cannot select an answer.
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In a certain community, 8% of all adults over 50 have diabetes. If a health service in this community correctly diagnoses 95% of all persons with diabetes as having the disease and incorrectly diagnoses 2% of all persons without diabetes as having the disease, find the probabilities that
a) the community health service will diagnose an adult over 50 as having diabetes.
b) a person over 50 diagnosed by the health service as having diabetes actually has the disease.
Answer and Step-by-step explanation:
Solution:
Given:
Let A is the event of a person over 50 diagnosed by health service.
B1 is the event that an adult over 50 actually has diabetes.
B2 is the event that an adult over 50 does not have diabetes.
P (B1) = 8% = 0.08
And P (B2) = 1 – P (B1)
= 1 – 0.08
= 0.92
Correctly diagnose of all persons with diabetes= 95%
P (A/B1) = 0.95
Incorrectly diagnose of all persons without diabetes= 2%
P (A/B2) = 0.02
(a) ) the community health service will diagnose an adult over 50 as having diabetes.
P (B1) P (A/B1) = (0.08) (0.95) = 0.076
P (B2) p (A/B2) = (0.92) (0.02) =0.0184
P (B1) P (A/B1) + P (B2) p (A/B2) = 0.076 + 0.0184
= 0.0944
(b) A person over 50 diagnosed by the health service as having diabetes actually has the disease.
By using formula:
P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)
Put all the given values:
= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)
=0.076 / 0.076 + 0.0184
=0.076 / 0.0944
= 0.8050
Using conditional probability, it is found that there is a:
a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
Conditional Probability
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened. \(P(A \cap B)\) is the probability of both A and B happening. P(A) is the probability of A happening.Item a:
The percentages of a positive test is:
95% of 8%(have diabetes).2% of 92%(do not have diabetes).Hence:
\(P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944\)
0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
Item b:
Event A: Positive test.Event B: Has the disease.From item a, \(P(A) = 0.0944\).
The probability of both a positive test and having the disease is:
\(P(A \cap B) = 0.95(0.08)\)
Hence, the conditional probability is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051\)
0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
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if two vertical angles are 2x-10 and x+20 find the value of x
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
please hurry
Solve for t: 5t - 4 = 11
Answer:
t=3
Step-by-step explanation:
5t-4=|11
+4 |+4
5t= | 15
÷5 | ÷5
t = 3
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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An investor wants to save money to purchase real estate. She buys an annuity with yearly payments that earn 5.3% interest compounded annually payments will be made at the end of each year find the total value of the annuity in 16 years if each yearly payment is 693.
The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV is the future value of the annuity,
P is the yearly payment,
r is the interest rate per compounding period, and
n is the number of compounding periods.
In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.
Let's substitute these values into the formula and calculate the total value of the annuity:
FV = 693 * ((1 + 0.053)^16 - 1) / 0.053
FV = 693 * (1.053^16 - 1) / 0.053
Using a calculator, we can evaluate the expression inside the parentheses:
1.053^16 ≈ 1.9738
Substituting this value back into the formula:
FV = 693 * (1.9738 - 1) / 0.053
FV = 693 * 0.9738 / 0.053
FV ≈ 12739.62
Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
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