Answers
Answer:
65
Step-by-step explanation:
180 - 115 = 65
This is the easiest way to think about and do it but your teacher might want you to do it a different way.
Answer:
65
Step-by-step explanation:
Related Questions
Multiply 3/5 by 10/21 Express your answer in simplest form
Answers
Answer:
2/7
Step-by-step explanation:
Answer:
3/5 * 10/21= 2/7
Two shooters, Rodney and Philip, practice at a shooting range. They fire 100 rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. 60 rounds are selected at random. The sample mean scores of Rodney and Philip are 8 and 10, respectively. And, their variances are 0.25 and 0.50, respectively The standard error of the difference between their mean scores is ______________ (Round your answer to two decimal places.) The 95% confidence interval for the difference between the mean scores Rodney and Philip is ________ _____________: (Enter a minus sign if your answer is negative. Round your answer to two decimal places.)
Answers
Answer:
A) SE = 0.1118
B) 95% Confidence interval is;
-2.22 < μ1 - μ2 < -1.78
Step-by-step explanation:
We are given;
Sample size; n = 60
Sample mean 1; x1 = 8
Sample mean 2; x2 = 10
Variance 1; v1 = 0.25
Variance 2; V2 = 0.5
Now,
Standard deviation is given by the formula ;
σ = √variance
Thus;
σ1 = √0.25
σ1 = 0.5
σ2 = √0.5
σ2 = 0.7071
Formula for standard error of mean is;
SE = σ/√n
Thus;
SE1 = 0.5/√60
SE1 = 0.06455
SE2 = 0.7071/√60
SE2 = 0.0913
The standard error of the difference between their mean scores would be;
SE = √[(SE1)² + (SE2)²]
SE = √(0.06455² + 0.0913²)
SE = 0.1118
Formula for 95% confidence interval is;
(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)
Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.
Thus, plugging in the relevant values, we have;
(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)
-2.22 < μ1 - μ2 < -1.78
A proposed change in income tax suggests charging 20% on a person's income up to $30,000 and then 40% on any
income above that. If a person has an income of $47,000, what will be their income tax under the proposal?
Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Provide your answer below
Answers
Answer:
If you get tax you should know the details of the what the tax is FOR
Step-by-step explanation:
Not enough details in question
Answer:
Step-by-step explanation:
Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is
Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.
How can a transformed quadratic equation be used real life situation?
Answers
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Step-by-step explanation:
The average of 4,-8,6,14,-3 is
Answers
Answer: The average is 2.6
Step-by-step explanation:
The average is the same as the mean so to find the mean of the numbers add them up and divide it by the number of values.
(4) + (-8) + (6) + ( 14) + (-3) = 13
13/5 = 2.6
If a1=2 and an=an-1+5 then whats the value of a5
Answers
Answer:
a5=10
Step-by-step explanation:
a1=2 a2=4 a3=6 a4=8 a5=10
The value of the 5th term of the arithmetic sequence will be 22.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
The value of the first term is 2. Then the value of the 5th term is calculated as,
a₂ = a₁ + 5
a₂ = 2 + 5
a₂ = 7
a₃ = a₂ + 5
a₃ = 7 + 5
a₃ = 12
a₄ = a₃ + 5
a₄ = 12 + 5
a₄ = 17
a₅ = a₄ + 5
a₅ = 17 + 5
a₅ = 22
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 65 screws. The sample mean screw length was 19.04 centimeters. The population standard deviation is known is known to be 0.19 centimeters. What is the null hypothesis and what is the alternative hypothesis?
Answers
Answer:
Step-by-step explanation:
Ok
Answer:
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.
What is the test statistic ?
What is the -value?
Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of
7(10x+5-9x)=70
I rly need help on this
Answers
Answer:
x = 5
Step-by-step explanation:
1. Combine like terms
2. Multiply by 1
3. Distribute
4. Subtract 3
5 from both sides of the equation
5. Simplify
6. Divide both sides of the equation by the same term
7. Simplify
Step by Step Explanation:
7(10x+5-9x)=70 distributive property
70x+35-63x=70 subtract common terms
7x+35=70 subtract both sides by 35
7x=35 divide both sides by 7
x=5
t> -5
can someone show step by step how to solve this equation?
Answers
Answer: The equation cannot be simplified any further.
Explanation: The variable(t) is greater than any number than negative five.
Plz mark brainliest:)
If f(x) = 2x2 + x-1, then f(-5)
= ?
Answers
Answer:
-54
Step-by-step explanation:
(-5)^2 = -25
2(-25)+ -5 +1 =-54
Answer:
f(-5) = -2
Step-by-step explanation:
f(-5) = 2x2 + -5 -1
f(-5) = 4 - 6
f(-5) = -2
PLEASE HELP ASAP
Prove that triangles PQR and RSQ are congruent.
Given:
PQ = RS, and
Answers
Answer:
Step-by-step explanation:
ok so lets assume that line PQ and RS and QR and PS are parallel lines cut by a transeversal. To prove this you can do it in a couple of different ways the one way i know is that if you assume these are parralel then you can uses the alternate interior anges to prove that measure of QSP and SQR then by logic you know that PQS + SQR = RSQ+QSP which symplifies to PQR = RSQ
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?
In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.
part A. According to the question, the unit rate is to be expressed in which units?
Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.
Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
Part D. Rewr
Answers
Complete question :
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Length of trail = 3/4 of a mile.
Time taken = 1/6 of an hour
A) unit rate will be expressed in:
Length of trail = miles
Time taken. = hour
= miles per hour (mph)
B) Jogging rate :
Length of trail / time taken
3/4 miles ÷ 1/6 hour
3/4 * 6/1
18/4 = 4 2/4 = 4 1/2
Answer:
3/4/3/6 miles per hour
Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)
Answers
Answer:
correct answer is D
Step-by-step explanation:
just did it on apex
The polynomial functions is graphed below is f(x) = (x+4)(x-2)²(x+3).
What is a Polynomial Function ?A polynomial function is a function in an equation that contains only positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.
It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .
When all the graphs are plotted for all the equations given in the options.
It can be seen that the equation in The Option D satisfies the image.
f(x) = (x+4)(x-2)²(x+3)
The image of the graph for the equation is attached.
To know more about Polynomial Function
https://brainly.com/question/12976257
#SPJ2
Will mark brainliest, need FAST!!! also, make sure to explain why. and note that it’s 30 mph FASTER on the return trip, not 30 mph back. But I will mark brainliest, please answer!!!!!
Answers
Answer:b
Step-by-step explanation: first find the constant of proportionality (y=Kx) and substitute k for 10 because 30/3=10 and then your equation should look like y=10x now see the hours because the person travels 10 mph
what equation is modeled by the graph below?
Answers
Answer:
B. -5/12
Step-by-step explanation:
Answer:
B.5/12
Step-by-step explanations:
Someone please help!!!!!!!!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
Step 1: Define
xy + |-49/1|(-1)
x = 7
y = 8
Step 2: Simplify
xy + |-49|(-1)
xy + 49(-1)
xy - 49
Step 3: Substitute and Evaluate
7(8) - 49
56 - 49
7
Answer:
7
Step-by-step explanation:
xy + | -49/1| (-1)
Let x=7 and y = 8
7*8 + | -49/1| (-1)
56 + | -49/1| (-1)
The absolute value of -49 is 49
56 +49 (-1)
Multiply
56-49
7
68% of johns school are boys. There are 180 more boys than girls. How many students are there in johns school
Answers
Answer:
500 students in the school
Step-by-step explanation:
100 - 68% = 32%
boys percentage 68%
girls percentage 32%
difference 68 - 32 = 36% = 180
36 ÷ 18 = 2 × 50 = 100
180 ÷ 18 = 10 × 50 = 500
Answer:
500 students.
Step-by-step explanation:
This a system of equations you could write where t is the total amount of students in the school, b is the number of boys, and g is the number of girls:
0.68t=b
b+g=t
180+g=b
0.68t+g=t
g=0.32t
180+g=b
180+0.32t=0.68t
180=0.36t
t=500
sixteen people wore white socks. The ratio of those who wore white socks to those who wore black socks 1:2. How many people wore black socks?
Answers
Answer:
It should be 32.
Step-by-step explanation:
Rewrite the following using the GCF and the distributive property
:32 + 54
Answers
Answer:
GCF: 2
Step-by-step explanation:
GCF: 2
(2*16) + (2*27)
A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes.
Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total
Answers
Answer:
Step-by-step explanation:
Given that:
There are 600 residents in the survey.
And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.
The objective is to construct a two by two table from the given data:
Diabetes
Yes No Total
Smoking
Yes 157 230 - 157
= 73 230
No 50 370 - 50 600 - 230
= 320 = 370
Total 157 + 50 320+ 73
= 207 = 393 600
Evaluate the expression 12- x when x=8
Answers
[tex]given \: that \ :[/tex]
[tex]x = 8[/tex]
[tex]then \:12 - x \: will \: be \: :[/tex]
[tex]12 - 8[/tex]
[tex] = 4[/tex]
[tex]∴ \: 12 - 8= 4 [/tex]
Answer:
The result of 12-x when x=8, is 4
Step-by-step explanation:
Numerical Evaluation
Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.
The given expression is
12 - x
Substituting x = 8, we get:
12 - 8 = 4
The result of 12-x when x=8, is 4
Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it
Answers
Answer:
yes
Step-by-step explanation:
Answer:
thank you
Step-by-step explanation:
:)
Kayla rented a boat. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the day was $370. Which equation, when solved for x, gives the number of hours she rented the boat?
45x – 100 = 370
45x + 370 = 100
45x + 100 = 370
45x – 370 = 100
Explain how you got the answer please
Answers
45 is a rate that increases based on the variable that is unknown so it would be 45x
100 is only being added once so there is no variable needed
we know that 370 is the total number so the 45x and the 100 combined would equal 370
Hewwo! can anyone answer this? giving brainliest to whoever explains! tysm c:
Answers
Answer:
4
Step-by-step explanation:
Basically it's dividing the pounds of dog food to the bags of food by 4
How much mixed spice will she need for 6 spice
Answers
Answer:
who
Step-by-step explanation:
The population of New Town is increasing by 6% a year.
If the population was 19613 on January 1st, 2000, what was it on January 1st, 2020?
Give your answer to the nearest 100 people.
Answers
Answer:
After population (A) = 62,902 (Approx)
Step-by-step explanation:
Given:
Current population (P) = 19613
Number of years (n) = 2020 - 2000 = 20 year
Rate of growth (r) = 6% = 0.06
Find:
After population (A)
Computation:
[tex]After\ population (A) = Current\ population (P)[1+r]^n \\\\After\ population (A) = 19613[1+0.06]^{20} \\\\After\ population (A) = 19613[1.06]^{20} \\\\After\ population (A) = 62,901.548[/tex]
Evaluate each expression for s=4 and t=8
1) (25)^2t
2) 2st^2-5^2
3) 2s^2-t^3/16
Answers
Answer:
1. 2.328×[tex]10^{22}[/tex]
2. 487
3. 30.52 OR 0 (see explanation↓)
Step-by-step explanation:
1.[tex](25)^{2t}[/tex]
(sub for t=8)
=[tex]25^{2*8}[/tex]
=[tex]25^{16}[/tex]
=2.328×[tex]10^{22}[/tex]
2.[tex]2st^{2} -5^{2}[/tex]
(sub for s=4 and t=8)
=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]
=512-25
=487
3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)
FOR [tex]2s^{2} -t^{3/16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]
=32-1.476826146
=30.52 (to the nearest 2 decimal place)
FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]
=32-32
=0
1 5/16 divided by 7/12
Answers
A 40 -inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answers
Answer:
4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.
Step-by-step explanation:
x = 20 inch, the length of the first piece
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
given,
Total length = 40 inch
let first piece be = x inch
second piece = 4 times of first piece = 4x inch
third piece = 5 times of first piece = 5x inch
So,
x + 4x + 5x = 200
10x = 200
x = 200/10
x = 20
Therefore, the length of the first piece is 20 inch
Read more about mathematical expression here :
https://brainly.in/question/26994041
#SPJ2
Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-9,6); m = 6 The equation of the line is (Simplify your answer. Type your answer in point-slope form.)
Answers
Answer:
y = -54 + 60
Step-by-step explanation:
multiply 6 and -9 to get -54 (6)(-9) = -54
then subtract -54 from 6 to get 60 6 - (-54) = 60
then put it in equation form as, b = 60, and x = -54
y = -54 + 60
plz mark brainliest
The equation of line passes through the points (-9, 6) will be;
⇒ y = 6x + 60
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line is (-9, 6).
And, The slope = 6
Now,
Since, The equation of line passes through the point (-9, 6).
And, Slope of the line is,
m = 6
Thus, The equation of line with slope 6 is,
⇒ y - 6 = 6 (x - (-9))
⇒ y - 6 = 6 (x + 9)
⇒ y - 6 = 6x + 54
⇒ y = 6x + 54 + 6
⇒ y = 6x + 60
Therefore, The equation of line passes through the points (-9, 6) will be;
⇒ y = 6x + 60
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2