The sum of the given two expressions -7g and 4g+2 is -3g+2.
What are algrbraic expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
What are the types of algebraic expressions?There are mainly 3 types of algebraic expressions which are:
Monomial ExpressionBinomial ExpressionPolynomial ExpressionThe sum of given expressions , -7g and 4g+2 can be performed as follows:
-7g + (4g + 2)
= (-7+4)g + 2
= -3g + 2
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Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long. Enter the length that she must use for the second leg to form a right triangle.
Answer:
0.9 inches
Step-by-step explanation:
The sides of right triangles follow the Pythagorean Theorem:
a² + b² = c²
"a" and "b" are the two shorter sides and "c" is the hypotenuse, the longest side.
Let's plug in what we know.
a² + b² = c²
(1.2)² + b² = (1.5)²
Let's solve the exponents.
1.44 + b² = 2.25
Subtract 1.44 from both sides.
b² = 0.81
Take the square root of both sides.
√b² = √0.81
b = 0.9
The second side will be 0.9 inches.
How many kilometers long is the perimeter of a square whose area is 25 square kilometers? (A.5) (B.20) (C.10) (D.25)
Answer:d
Step-by-step explanation:
Find the difference:
16 16
Answer:
3 3/6 or 3 1/2 or 3.5
Step-by-step explanation:
help me with this question
In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 32 of the 44 online courses at this particular community college were taught by full-time faculty.
Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.
Answer:
The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.
Step-by-step explanation:
Test if 68% represents the state in question.
This means that at the null hypothesis, we test if the proportion is 68%, that is:
[tex]H_0: p = 0.68[/tex]
At the alternate hypothesis, we test if the proportion is different of 68%, that is:
[tex]H_a: p \neq 0.68[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.68 is tested at the null hypothesis:
This means that [tex]\mu = 0.68, \sigma = \sqrt{0.68*0.32}[/tex]
32 of the 44 online courses at this particular community college were taught by full-time faculty.
This means that [tex]n = 44, X = \frac{32}{44} = 0.7273[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.7273 - 0.68}{\frac{\sqrt{0.68*0.32}}{\sqrt{44}}}[/tex]
[tex]z = 0.67[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion differing by the population proportion by at least 0.7273 - 0.68 = 0.0473, which is P(|z| > 0.67), which is 2 multiplied by the p-value of z = -0.67.
Looking at the z-table, z = -0.67 has a p-value of 0.2514
2*0.2514 = 0.5028
The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.
#2 Lauren draws a still life picture of a vase of flowers using a scale where 1 inch= 3 inches. In her drawing, the vase is 6.75 inches tall. What is the actual height?
Answer:
20.25
Step-by-step explanation:
6.75 times by 3 is 20.25
Pls help; tysmmmmmmn <3
Answer:
64
Step-by-step explanation:
ˣ= 8
Since x² it means you have to multiply
8 two times
8 x 8= 64
Let p be the statement "He is tall" and let q be the statement the following statements in symbolic form using p and q. He is handsome". Write each of /1/ He is tall and handsome. /2/ He is tall but not handsome. /3/ He is false that he is short or handsome. /4/ He is neither tall nor handsome. /5/ He is tall, or he is short and handsome /6/ It is not true that he is short or not handsome
On solving the provided question we can say that by logarithm the statement is true he is short.
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
He is tall, or he is short and handsome
It is not true that he is short or not handsome
by logarithm,
the statement is true he is short.
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Which angle refers to the same angle as DOF?
Answer:
LKS
Step-by-step explanation:
just look at them
Answer:
LOJ is also DOL they the same
1: What number must be multiplied by (5x + 6) to result in the expression 20x + 24?
2: On the first day of a road trip, you drive x miles.
On Day 2, you drive 10 more than twice the miles driven on Day 1.
On Day 3, you drive 100 miles less than Day 1.
Write an expression to represent the miles driven on each day of the road trip, then write a final simplified expression representing the total miles driven in three days.
a) Day 1:
b) Day 2:
c) Day 3:
d) Final simplified expression to represent total miles driven in three days:
e) Look at your expression for c) Day 3: "100 miles less than Day 1." Describe a real-word situation to explain why order matters when writing this expression.
1. The number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is 4.
2. An expression representing the miles driven on each day of the road trip and a final simplified expression of the total drives in three days are as follows:
a) Day 1: x
b) Day 2: 2x + 10
c) Day 3: x - 100
d) Final simplified expression to represent total miles driven in three days: 4x + 10 - 100.
e) A real-world situation in which order matters when writing the expression x - 100 is that the value of x is supposed to be more than the value of 100.
What is a mathematical expression?A mathematical expression is the combination of constants, numbers, mathematical operators, and variables without the equation sign (=).
Literarily, a mathematical expression is like a phrase in the English language because it does not make complete sense without the equation sign.
1) Multiplication:
(20x + 24) ÷ (5x + 6) = 4
Check:
4(5x + 6) = 20x + 24
2) Road Trip Expressions:
Day one driving distance = x miles
Day two driving distance = 2x + 10
Day three driving distance = x - 100
Total distance = x + 2x + 10 + x - 100
= 4x + 10 - 100
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please help me plsssssssssssssss
Answer:
this should help you out
Sam has 6 choices of shirts, 4 choices of pants, 5 choices of socks, and 6 choices of shoes for his working dress. In how many ways Sam can select his outfit?
looooovvvvveeee these kinds of questions :D
anyways, there are 6 × 4 × 5 × 6=720 outfits
HELO WILL GIVE BRANLIEST! No links
Answer:
the answer is
[tex] \sqrt{29} [/tex]
In 2019, the United States Census Bureau reported the various components of population change as estimated below. ∙ One birth every 8 seconds ∙ One death every 11 seconds ∙ One international migrant (net of immigrants versus emigrants) every 33 seconds ∙ Net gain of one person every 17 seconds During that year, which of the components was having the second largest effect on population growth?
Answer:
The components that was having the second largest effect on population growth was deaths.
Step-by-step explanation:
In this question:
The largest the frequency(less time between each time, larger frequency), the higher effect of the component in population growth.
In this question:
Due to the rates, the effects on population growth, in descending order ir:
Birth - Deaths - Gain of one person - Migrants
So the components that was having the second largest effect on population growth was deaths.
In a survey on favorite parts of college, students were asked to choose their favorite professor (from a list of four popular professors), favorite meal in the dining hall (from a list of five popular meals), and favorite weekend activity (from a list of six popular activities). Calculate the number of different ways the survey can be filled out if students select one from each category.
Answer:
The survey can be filled out in 120 different ways.
Step-by-step explanation:
The possible options are:
One professor from a set of four.
One meal from a set of five.
One weekend activity from a set of six.
Calculate the number of different ways the survey can be filled out if students select one from each category.
The multiplication of the number of possible outcomes for each trial. So
4*5*6 = 20*6 = 120
The survey can be filled out in 120 different ways.
A pre-paid cell phone company charges $10.35 as a monthly access fee and $0.08 per minute of calling time.
Express the monthly cost C in terms of minutes of call time ?
What will the monthly cost be if you make 280 minutes of calls this month?
Answer: $32.75
Step-by-step explanation:
If each call costs $0.08 and you make 280 minutes worth of calls this month you'll have made $22.04 worth of phone calls plus the monthly access fee ($10.35) if you add both those fees you'll be left with a bill of $32.75.
I hope this answer helped you. :)
Answer:
$32.75
Step-by-step explanation:
10.35 + (0.08×280)
this isn’t a question but i just wanted to tell everyone you all are doing great. this year has been hard and everyone is working as hard as they mentally can. i’m so proud of all of you. don’t forget to take breaks and rest.
Thank you so much friend.
I think a advantage of this will be that we will be able to tell our grandchildren about how we survived the pandemic, just like our grandparents talk about World War. Lol.
When dividing a polynomial by a binomial, what does the remainder tell you?
Answer:
the remainder is not just added to the quotient. it becomes the numerator of a fraction that is added to the quotient. the correct answer is x-3- the process works for dividing any polynomial
Which TWO scenarios can be represented by a ratio of 4 : 5?
I NEED AN ANSWER ASAP PLEASE
The two scenarios that can be represented by a ratio 4:5 are
1. The ratio of fiction books to the non fiction books, if there are 4 fiction books to 5 non fiction books
2. The ratio of marker to crayon , if there are 4 markers and 5 crayons. ( option A and D)
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
For a scenario that will give ratio of 4:5, it means the first entity will be 4 and the second entity will be 5.
Therefore the two statements that obey this in the option are
1. The ratio of fiction books to the non fiction books, if there are 4 fiction books to 5 non fiction books
2. The ratio of marker to crayon , if there are 4 markers and 5 crayons.
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What is the first step in solving this equation ? y + 7 = 18
Answer:
subtract 7
Step-by-step explanation:
y+7=18
You need to get the y by itself, so you subtract 7 to cancel it out.
y+7=18
-7 -7
y=11
---
hope it helps
Locating Fractions on a Number Line
A B
Hot
-2
-1
Intro
C
D
+++++
0 1 2
Use the drop-down menus to label the points on the
number line.
Point A is at
Point B is at
Point C is at
Point D is at
<
Done
On solving the provided question we cans ay that - order when writing it on the number line: = -1.25, -0.75, 0.25, 1.5, 2
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
The numbers on the number line must be
[tex]6/3 = 2\\-3/4 = -0.75\\1.5 = 1.5\\0.25 = 0.25\\-5.4 = -1.25\\[/tex]
In ascending order, t
[tex]-1.25 = -5/4\\-0.75 = -3/4\\0.25\\1.5\\2 = 6/3[/tex]
order when writing it on the number line:
-1.25, -0.75, 0.25, 1.5, 2
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Suppose you are interested in using regression analysis to estimate an NBA player's salary using the following independent variables: the player was traded in the last 5 years, average points per game, the team had greater than 45 wins in the previous season, the team made the playoffs in the previous season, career number of games started, and the player's nationality. Which of the following independent variables are indicator (dummy) variables?
a. the player was traded in the last 5 years
b. years played in the NBA
c. the players nationality
d. the player has won an NBA championship
e. player's age
f. the player is on the All-Star team
g. one of these
Answer:
a. the player was traded in the last 5 years
For the NBA player's salary, the indicator (dummy) variables are:
The player was traded ... 5 years.The player ... NBA championship.The player ... All-Star team.What are indicator (dummy) variables?These are variables that have one of two answers such as yes and no or positive and negative. They are represented as 0 or 1 for the most part.
A player being traded in the last 5 years can either be a yes or no response just like if a player has won an NBA championship or if they are on an All-Star team.
In conclusion, options A, B, and F are correct.
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Which of the following sets of numbers could not represent the three sides of a triangles?
9,23,34
10,24,31
8,14,21
5,14,16
Answer:
pretty sure it's B. Let me know if im wrong
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
4.5
Step-by-step explanation:
Answer:
[tex]\sqrt{20}[/tex], calculate this further on calculator if necessary
Step-by-step explanation:
The Pythagorean Theorem states that [tex]a^2 +b^2=c^2[/tex]
Plugged in, we get [tex]2^2+4^2=c^2[/tex]
4 + 16 = c^2
20 = c^2
c = [tex]\sqrt{20}[/tex]
4. Find the range of the data set: 3, 21, 17, 17, 34, 22, 26
Please help
Answer:
31
Step-by-step explanation:
The Range is the difference between the lowest and highest values (3, 34)
Answer:
31
Step-by-step explanation:
To find the range of the data set, simply subtract the smallest number from the biggest number.
34 - 3 = 31
Therefore, the range of the data set is 31.
pls help me ☺️!!!!!!!
The question is in the photo attached
Answer: 10,000
Step-by-step explanation: here's how I got my answer:
Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.
So, 1/2 * 10 =1/2
So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.
Population Growth
Using the graph, find the value of 7 when x = 7.
a. = 7 c. y = 2.71
b. y = 6.1 d. y = 4.42
Please select the best answer from the choices provided
Answer:
D. y = 4.42
Step-by-step explanation:
I calculated it logically
The members of a consulting firm rent cars from three rental agencies. It is estimated that 0.42 percent of cars come from agency 1, 0.08 percent of cars come from agency 2, and 0.5 percent of cars come from agency 3. It is also estimated that 0.08 percent of cars from agency 1 need a tune-up, 0.02 percent of cars from agency 2 need a tune-up, and 0.02 percent of cars from agency 3 need a tune-up. Answer the following questions, rounding your answers to two decimal places where appropriate.
The probability that a rental car delivered to the firm will need a tune-up is 0.05% and the conditional probability is 0.04%
How to determine the probabilitiesThe probability that a rental car delivered to the firm will need a tune-up
From the question, we have the following parameters that can be used in our computation:
Agency 1 = 0.42%, Tune up from agency 1 = 0.08%
Agency 2 = 0.08%, Tune up from agency 2 = 0.02%
Agency 3 = 0.5%, Tune up from agency 3 = 0.02%
Using total probability, we have the following equation
P(tune-up) = P(tune-up | agency 1) * P(agency 1) + P(tune-up | agency 2) * P(agency 2) + P(tune-up | agency 3) * P(agency 3)
Substitute the known values in the above equation, so, we have the following representation
P(tune-up) = 0.08% * 0.42% + 0.02% * 0.08% + 0.02% * 0.5%
Evaluate the sum of products
P(tune-up) = 0.000452
Express as percentage and approximate
P(tune-up) = 0.05%
(b) The probability that it came from agency 2
This is a conditional probability, and it calculated as
P(Agency 2| Tune up) = P(Tune up and Agency 2)/P(Tune up)
Substitute the known values in the above equation, so, we have the following representation
P(Agency 2| Tune up) = (0.02% * 0.08%)/0.0452%
Evaluate
P(Agency 2| Tune up) = 0.0003539823
Express as percentage
P(Agency 2| Tune up) = 0.03539823%
Approximate
P(Agency 2| Tune up) = 0.04%
So, the probability is 0.04%
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Complete question
The members of a consulting firm rent cars from three rental agencies. It is estimated that 0.42 percent of cars come from agency 1, 0.08 percent of cars come from agency 2, and 0.5 percent of cars come from agency 3. It is also estimated that 0.08 percent of cars from agency 1 need a tune-up, 0.02 percent of cars from agency 2 need a tune-up, and 0.02 percent of cars from agency 3 need a tune-up. Answer the following questions, rounding your answers to two decimal places where appropriate.
(a) What is the probability that a rental car delivered to the firm will need a tune-up?
(b) If a rental car delivered to the firm needs a tune-up, what is the probability that it came from agency 2?
Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbicides on house pets. The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them. Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma. For this problem, let p1 be the population proportion of dogs that get lymphoma from homes where herbicides are used and p2 be the population proportion of dogs that get lymphoma from homes where herbicides are not used. Researchers are interested in learning about the difference in the proportion of cancer diagnoses between the two groups. What is the 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups
Answer:
The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.
This means that:
[tex]p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247[/tex]
Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.
This means that:
[tex]p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234[/tex]
Distribution of the difference:
[tex]p = p_h - p_n = 0.575 - 0.125 = 0.45[/tex]
[tex]s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower bound is [tex]0.45 - 1.96(0.034) = 0.3834[/tex]
The upper bound is [tex]0.45 + 1.96(0.034) = 0.5166[/tex]
The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).