Answer:
C
Step-by-step explanation:
All odd prime numbers up to 16:
3, 5, 7, 11, 13
All multiples of four up to 16:
4, 8, 12, 16
All of those in a list:
3, 4, 5, 7, 8, 11, 12, 13, 16
There are 9 things on that list. The probability is equal to:
[tex]\frac{9}{16}=c) 0.563[/tex]
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Austin just got hired for a new job and will make $80,000 in his first year. Austin
was told that he can expect to get raises of $1,500 every year going forward. How
much money in salary would Austin make in his 19th year working at this job? Round
to the nearest tenth (if necessary).
Answer:
$107,000
Step-by-step explanation:
Austin's salary in his 19th year will include his base pay and 18 raises:
$80,000 + 18×$1500 = $107,000
Austin's salary in his 19th year would be $107,000.
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?
Answer:
35 Meters
Step-by-step explanation:
Ratio is 12
What I mean by that is 2 turns into 24 because you multiply 12 to it. Same thing for 420, except for the fact that you divide it (working backwards). So 420 divided by 12 equals 35:) Enjoy your day
Answer:
the answer is 35 meters.
A triangle has an area of 24 meters squared and base length of 8m. Find the height.
Answer:
h = 6
Step-by-step explanation:
Since 1/2 times the base length times the height equals the area, just work your way backwards to get the answer!
It looks like this
(1/2)8 * h = 24
First multiply 1/2 by 8 to get 4
then divide 4 out of both sides so that h = 6!
Thank me later :)
Answer:
6 is the answer
Step-by-step explanation:
By what percent will the fraction change if its numerator is
increased by 25% and its denominator is increased by 20%?
Answer:
The fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is
increased by 25% and its denominator is increased by 20%.
Step-by-step explanation:
Let 'n' be the numeratorLet 'd' be the denominatorAs
[tex]100\%\mathrm{\:in\:fractions}=\:1[/tex]
[tex]25\%\mathrm{\:in\:fractions}=\:\frac{1}{4}[/tex]
[tex]20\%\mathrm{\:in\:fractions}=\frac{1}{5}[/tex]
so
Increase in 25% means
[tex]100\%\:+25\%\:=\frac{5}{4}[/tex]
Increase in 20% means
[tex]100\%\:+20\%\:=\frac{6}{5}[/tex]
Thus the fraction becomes
[tex]\:\frac{\frac{5}{4}\times \:n}{\frac{6}{5}\times \:d}[/tex]
[tex]=\frac{\frac{5}{4}n}{\frac{6d}{5}}[/tex]
[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times \:d}{b\times \:c}[/tex]
[tex]=\frac{5n\times \:5}{4\times \:6d}[/tex]
[tex]=\frac{25n}{24d}[/tex]
[tex]=1.0417\left(\frac{n}{d}\right)[/tex]
[tex]=1\left(\frac{n}{d}\right)+0.047\left(\frac{n}{d}\right)[/tex]
As
[tex]0.047=4.7\:\%[/tex]
Therefore, the fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is
increased by 25% and its denominator is increased by 20%.
Graph the funtion f(x) - -3x + 6
Answer:
The y intercept is 6 and the slope is -3.
Please see the attached graph.
(8x^2+22x+19) divided by (2x+3)
find the quotient and remainder
Quotient=4x+5
Remainder=4
hope this will help u..
Answer: quotient =4x+5
remainder =4
Step-by-step explanation:
Looking at the diagram below
Quotient =4x+5
Remainder =4
Helpp!!!!
Evaluate (x+5)^2+8 for x=-2
A. 12
B. 33
C. 17
D. 57
Write whether the following pair of linear
equations is consistent or not: x+y=14 & X-y=4
Answer:
The linear equation is consistent
Step-by-step explanation:
X+y=14....(1)
X-y=4....(2)
Add (1) and (2)
2x=28
Divide both sides by 2
x=14
Substitute the value for x into (1)
14+y=14
Substrate 14 from both sides
y=0
So the linear equation is consistent
Melanie knew that the perimeter of the soccer field was 1/6 miles.Her goal was to walk 2 miles while watching her sisters game.If she walked around the field 13 times,did she reach her goal?Tell how
Answer:
Yes, she has reached her goal.
Step-by-step explanation:
I know this because you have to multiply 1/6 by 13 to get 13/6, which is equal to 2 1/6. Since 2 1/6 is greater than 2, she has reached her goal.
Equation: 1/6×13= 2 1/6
Comparing statement: 2 < 2 1/6
Find the area of a circle with a radius of 3.2 centimeters. Use the pi key and round to nearest tenth.
Based on the diagram, what is the value of x?
Answer:
is it 57
Step-by-step explanation:
Answer:
x = 57
Step-by-step explanation:
x and 57° are vertical angles and congruent, thus
x = 57
finding the area of a square is the same as finding the area of rectangle,
That is true, you multiply the length by the width in a rectangle, and you do the same in a square.
What number is 1/100 of the value of 2.6
Answer:
0.026
Step-by-step explanation:
The number gotten from 1/100 of the value of 2.6 is; 0.026
Decimals and Fractions
We want to find 1/100 of the value of 2.6. This means that we will multiply 2.6 by 1/100.
⇒ 2.6 × 1/100
Multiply both numerator and denominator by 10 to get;
26/1000
Now, when we divide 26 by 1000, we will get a decimal which is; 0.026
Read more about Decimals and fractions at; https://brainly.com/question/1198199
Determine the slope of a line that is parallel to the line y= 1/2x + 5
Select one or more
A. -2
B. -1
C. 1/2
D.5
Answer:
c
Step-by-step explanation:
your slope will always be infront of x
Wayne has 16 3/4 gallons in his car. If he used 2/5 of the gas in his car, how many gallons does he have left
Answer:
Wayne has 10.05 gallons left.
Step-by-step explanation:
16 3/4 times 2/5 is 6.7
16 3/4 minus 6.7 is 10.05
Wayne has 327/20 gallons of fuel left in his car.
What is a fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.The number on the bottom of the line is called the denominator.
Now it is given that,
Amount of fuel in the car = 16 3/4 gallons = 67/4 gallons
Amount of fuel used = 2/5 gallons
Therefore,
Amount of fuel left in the car = Amount of fuel in the car - Amount of fuel used
⇒ Amount of fuel left in the car = 67/4 - 2/5
⇒ Amount of fuel left in the car = 327/20 gallons
Thus, Wayne has 327/20 gallons of fuel left in his car.
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Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because the filling machine is not perfectly precise. Usually, the distribution of the contents is approximately Normal. An inspector measures the contents of seven randomly selected bottles from one day of production. The results are 275.4, 276.8, 273.9, 275.0, 275.8, 275.9, and 276.1 milliliters. Do these data provide convincing evidence at α = 0.05 that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters? (4 points)
Group of answer choices
Because the p-value of 0.0804 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Because the p-value of 0.0804 is greater than the significance level of 0.05, we reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.
Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Because the p-value of 0.1609 is greater than the significance level of 0.05, we reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.
Because the p-value of 1.5988 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Answer:
The correct option is;
c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Step-by-step explanation:
Here we have the values
μ = 275 mL
275.4
276.8
273.9
275
275.8
275.9
276.1
Sum = 1928.9
Mean (Average), = 275.5571429
Standard deviation, s = 0.921696159
We put the null hypothesis as H₀: μ₁ = μ₂
Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂
The t-test formula is as follows;
[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}[/tex]
Plugging in the values, we have,
Test statistic = 1.599292
[tex]t_{\alpha /2}[/tex] at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912
Our p-value from the the test statistic = 0.1608723≈ 0.1609
Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.
Answer:
Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Step-by-step explanation:
I took the quiz and got it right
∆DEF has vertices D(1, 4), E(3, 5), and F(2, 1). If you reflect ∆DEF across the x-axis, what will be the coordinates of the vertices of the image ∆D′E′F′?
A.) D′(–1, –4), E′(–3, –5), and F′(–2, –1)
B.) D′(–1, 4), E′(–3, 5), and F′(–2, 1)
C.) D′(4, –1), E′(5, –3), and F′(1, –2)
D.) D′(1, –4), E′(3, –5), and F′(2, –1)
Answer:
D
Step-by-step explanation:
When reflecting points across the x axis, and x coordinate remains the same and y-coordinates become the opposite of the original.
Answer:
it is D
Step-by-step explanation:
Rewrite the quadratic function f(x)=-3(x-4)^2+5 in standard form
Answer:
f(x) = 3x² - 24x + 53
Step-by-step explanation:
Given
f(x) = 3(x - 4)² + 5 ← expand the factor using FOIL
= 3(x² - 8x + 16) + 5 ← distribute by 3 and simplify
= 3x² - 24x + 48 + 5
= 3x² - 24x + 53 ← in standard form
Colton has a 1/20 probability of winning the race. Logan has a 15% probability of winning. Who has the greater chance of winning?
A Colton
B Logan
C They have an equal chance
Answer:
Logan has the greater probability of winning
Step-by-step explanation:
Colton=1/20
=0.05
So the probability of Colton is 0.05
Logan=15%
=15/100
=0.15
So the probability of Logan is 0.15
When comparing the two,it was observed that the Logan has greater probability of winning
Joanna has been saving for retirement for 40 years. She made monthly deposits of $275 and earned 5.6% annual interest, compounded monthly. According to her account documents, after these 40 years, she has a balance of $491,730.35 in her account. How much of this did Joanna contribute and how much of this is interest?
Joanna deposited $132000 and her interest amount is $359730.35
Step-by-step explanation:
Monthly deposit = $275
Interest = 5.6%
Time = 40 years
After 40 years her account balance = $491730.35
If she deposit $275 monthly then after 40 years she will have deposited ,
= 275 x 12 x 40
= $132000
The remaining is her interest amount.
Interest amount = 491730.35 - 132000
= $359730.35
Joanna deposited $132000 and her interest amount is $359730.35
what is the answer ?????????
Answer:
Option C, (2, 6)
Step-by-step explanation:
Step 1: Find the solution
They intersect at the x-value 2 and the y-value 6.
So... the answer is (2, 6)
Answer: Option C, (2, 6)
Find the value of t in the equation t + 5 + 3t = 1
--------------------------------------------------------
t + 5 + 3t = 1
Group like terms:
t+3t+5= 1
Add similar elements:
4t+5=1
Subtract 5 from both sides:
4t+5-5 = 1-5
Simplify:
4t= -4
Divide both sides by 4:
4t/4 = -4/4
Simplify:
t= -1
Your Answer Is t= -1
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if you borrow $6.65 for 6 years at an interest rate of 10%, how much interest will you pay?
Answer:
3.99
Step-by-step explanation:
I = PRT
I = 6.65 x .10 x 6
I = 3.99
Answer:
3.99
Step-by-step explanation:
Can someone be my tutor I really done get math someone help
Answer:
what do you need help with?
Step-by-step explanation:
Answer: yes i will be your tutor what is your question.
Step-by-step explanation:
A waiter at a restaurant receives a 15% tip on a $25 bill. At the same restaurant, a waitress receives a 20% tip on a $20 bill.
Who gets the larger tip? By how much?
Answer:
The waitress who received 20% of $20 gets a larger tip.
The waitress who received 20% of $20 gets $4.00 tip, and the waitress who received 15% of $25 gets a tip of $3.75
Step-by-step explanation:
To get 15% of 25, you multiply it by .15, giving you your answer.
To get 20% of 20, you multiple it by .20, giving you your answer.
Answer:
the second waiter gets a larger tip by $0.25
Step-by-step explanation:
15% of $25 is $3.75
the first waiter only got a $3.75 tip.
20% of $20 is $4
the second waiter got a $4 tip
the second waiter got $0.25 more than the first.
i hope this helps! :)
The following are the temperatures in °C for the first 10 days in January: -5, 0.7, -1.9, 3.5, -9.2, 7.1, -0.6 ,-8.7 ,2.2 ,0.6 Calculate the range.
Answer:
The range is -16.3
Step-by-step explanation:
The range is the highest number minus the lowest number and if we take a look at this data -5, 0.7, -1.9, 3.5, -9.2, 7.1, -0.6 ,-8.7 ,2.2 ,0.6, we can see that the lowest value is -9.2 and the highest value is 7.1, so we have to minus the lower value from the higher value
-9.2 - 7.1 = -16.3
The range is -16.3
what is the slope of the line (-4,-4) and (1,4)
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (4- -4)/(1 - -4)
= (4+4)/(1+4)
=8/5
Answer: answer is 8/5
Step-by-step explanation:
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answer:
see attached
Step-by-step explanation:
Each cube root or square root lies:
∛800: Between 2 and 3
∛101: Between 4 and 5
∛90: Between 4 and 5
∛20: Between 2 and 3
√7: Between 2 and 3
√20: Between 4 and 5
√90: Between 9 and 10
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Here are the steps to find whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10:
Start with the first cube root or square root, ∛800.
Estimate the value of the root.
For ∛800, we can estimate that it's between 8 and 9, since 8 cubed is 512 and 9 cubed is 729.
So, ∛800 must be somewhere in between.
Determine which range the estimated value falls into.
Since 8 is between 2 and 3, ∛800 must also be between 2 and 3.
Repeat the process for the remaining cube roots and square roots, using the same ranges.
Here are the results:
∛800: Between 2 and 3
∛101: Between 4 and 5
∛90: Between 4 and 5
∛20: Between 2 and 3
√7: Between 2 and 3
√20: Between 4 and 5
√90: Between 9 and 10
Thus,
Four of the roots lie between 2 and 3, two lies between 4 and 5, and one lies between 9 and 10.
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Can you help me out plzzz
Answer:
x=31.6
Im not sure since i have not taken a trig course yet, but i know the basics:
Tangent is opposite over adjacent, and in respect to this angle, (31 degrees) the opposite side is 19 and adjacent is x.
Tan(31) = 19/x
Solve for x...use a calculator to find tan(31)
(Credit to google for the pic)
Factor. 3ab-6b^2-2bc+ac
(Thank you, please explain all steps)
Answer:
(3b + c)(a - 2b)
Step-by-step explanation:
Given
3ab - 6b² - 2bc + ac ← Rearranging
= 3ab + ac - 6b² - 2bc (factor the first/second and third/fourth terms )
= a(3b + c) - 2b(3b + c) ← factor out (3b + c) from each term
= (3b + c)(a - 2b)
Answer:
(a-2b)(3b-c)
Step-by-step explanation:
3ab-6b^2-2bc+ac
Let's rearrange
3ab+ac-6b^2-2bc
Let's factorise
a(3b+c)-2b(3b+c)
(a-2b)(3b+c)
Since the answer cannot be solved further
The answer is (a-2b)(3b+c)