Answer:
Option #1 (5:14)
Step-by-step explanation:
The reason I chose option relies fully on these steps:
To find the ratio that represents the situation, you have to find the denominator of the fraction that the ratio itself represents:
5 : 14
9 : 5
To find this element you count the total number of objects that are in the problem:
2 + 1 + 7 + 4 = 14 total marbles to choose from - our denominator.
But what about the other number? That's our numerator, and we can find that by counting how many of the select possibilities - only counting the red and green marbles that may be chosen:
1 + 4 = 5
Therefore our denominator and numerator come together to form 5/14, which is equivalent to 5 : 14!
I hope this helped a bunch! Tell me if you need any further assistance...
( :
8. A = 84 in?
height = 4.2 in
Answer:
35 inches
Step-by-step explanation:
trough subtitution method and destributive equation
What is your favorite color?
Whoever answers first get marked brainly!!
100 piont!!!
Answer:
Blue
Step-by-step explanation:
Answer: green, I love hunter green
Step-by-step explanation:
Please take a look at the picture. Please write your answer with an explanation.
Answer:
Bottom left (each term in pattern X is 1/3...)
Step-by-step explanation:
If you look at the 2nd row, you will recognize that when you multiply 15 times 1/3, you will get 5, which is 1/3 of 15. You will recognize this pattern across the whole table.
Acrylic bone cement is sometimes used in hip and knee replacements to secure an artificial joint in place. The force required to break an acrylic bone cement bond was measured for seven specimens, and the resulting mean and standard deviation were 306.07 newtons and 41.96 newtons, respectively. Assuming that it is reasonable to believe that breaking force has a distribution that is approximately normal, use a 95% confidence interval to estimate the mean breaking force for acrylic bone cement. (Round your answers to three decimal places.)
The required 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.
Find the critical value (t*) for a 95% confidence level and (n - 1) degrees of freedom.
The degrees of freedom (df) is equal to the sample size minus 1 (df = 7 - 1 = 6). From a t-table or statistical software, the critical value for a 95% confidence level and df = 6 is approximately 2.447.
Calculate the standard error of the mean (SE).
The standard error of the mean is given by SE = (sample standard deviation) / sqrt(sample size).
[tex]SE =\dfrac{41.96}{\sqrt{7}}[/tex]
≈ 15.85
Calculate the margin of error (MoE).
The margin of error is MoE = (t*) * SE.
MoE ≈ 2.447 * 15.85
≈ 38.78
Calculate the confidence interval.
The confidence interval is given by: Mean ± MoE.
Mean ± MoE ≈ 306.07 ± 38.78
Calculate the lower and upper bounds of the confidence interval.
Lower bound ≈ 306.07 - 38.78
= 267.29
Upper bound ≈ 306.07 + 38.78
= 344.85
Therefore, the 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.
Learn more about confidence intervals here:
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Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie’s weight went from 175 to 150. Jorge’s weight went from 190 to 180. Which statements are true regarding their weight loss? Select three options.
Jorge’s weight change was approximately 5%.
Marie’s weight change was approximately 14%.
Marie had the greater percent change.
Jorge had the greater percent change.
Marie’s weight change was approximately 1.4%.
Answer:
Jorge's weight change was approximately 5%.
Marie's weight change was approximately 14%
Marie had the greater percent change.
Step-by-step explanation:
Solution:
Marie's former weight = 175
New weight = 150
Difference = 175 - 150 = 25
Percentage change = 25/175 × 100
= 1/7 × 100
= 14.2%
Jorge's former weight = 190
Jorge's new weight = 180
Difference = 190 - 180 = 10
Percentage change = 10/190 × 100
= 5.26%
From the above explanation, the following are right:
• Jorge's weight change was approximately 5%.
• Marie's weight change was approximately 14%
• Marie had the greater percent change.
Answer:
Step-by-step explanation:
Jorge’s weight change was approximately 5%.
Marie’s weight change was approximately 14%.
Marie had the greatest percent change.
Marie: 175-150 = 25
What percentage is 25 of 175 = x/100 = 25/175
= 14.29%
Jorge: 190-180= 10
What percent is 10 of 190? = x/100 = 10/190
= 5.3%
Hector must plant 286 trees. In the past 7 days
Hector planted 182 trees. If he continues at this rate,
how
many more days will it take him to plant all the
trees?
Answer:
3
Step-by-step explanation:
3.
Graph the equation by translating y = |x|.
y = |x + 6|
A. Graph c
B. Graph b
C. Graph d
D. Graph a
Answer:
B. Graph b
Step-by-step explanation:
I got this answer correct
The tail of a lion is 281 cm long.The tail of leopard is 32cm..How many times longer is the tail of the lion than the leopard?
?
Which equations are true? Select all that apply.
A.
66
÷
10
1
=
6
.
6
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06
Answer:
B
Step-by-step explanation:
If you like my answer than please mark me brainliest ty <3
1/6 to the 2nd power
Figure A and figure B are similar right triangles.
Which series of transformations could have been applied to Figure A to create Figure B?
A dilated 150% then reflected across the x-axis
B dilated 250% then reflected across the y-axis
C dilated 250% then rotated 270 degrees clockwise about the origin
D dilated 500% then rotated 90 degrees counterclockwise about the origin
Answer:
Step-by-step explanation:
The legs of A seem to be about 2 and slightly less than 2 units in length.
The legs of B seem to be about 4.5 and 4.5 units in length
4.5/2 = 2.25 or 225% increase so NONE OF THE ABOVE answer is correct.
If we ASSUME that the legs of B are supposed to reach 5 and 5 (they don't) or the legs of A are both supposed to be 1.8 (hard to say, certainly the bottom one seems to exceed that)
then the dilation would be 5 / 2 = 2.50 or 250%
Which means we have an option of B) or C) to choose from
Reflecting A across the y axis would put B in the first quadrant so NO.
Rotating A 270° CW about the origin would give us B in the third quadrant which is correct.
So the CLOSEST answer is option C) (dilation not with standing)
what should she use as her common denominator
Solve the Quadratic
Solve for x.
x^2- x=20
Solution 1:
Solution 2:
Answer:
solution 1: 5
solution 2: -4
Step-by-step explanation:
x²-x-20=0;
(x-5)(x+4)=0;
x₁=5; x₂=-4.
Answer:
Solution 1: [tex]x = 5[/tex]
Solution 2: [tex]x = -4[/tex]
Step-by-step explanation:
The first is organize the given equation to the next form
[tex]ax^2 + bx + c[/tex]
So you substract -20 in both sides of the equation
[tex]x^2 - x - 20 = 0[/tex]
Know you can use the quadratic formula or find two number that sum give us [tex]b[/tex] and multiplied [tex]c[/tex].
[tex]b = s + r\\c = sr[/tex]
Replacing with the given values we have:
[tex]-1 = s + r\\-20 = sr[/tex]
With a trial and error the numbers are -5 and 4. Then you change the equation to
[tex]x^2 - x - 20 = (x - 5)(x + 4)[/tex]
And the equation is equal to 0 when [tex]x[/tex] is equal to 5 and -4.
There are eight more girls than boys in a school play the ratio of boys to girls is 5 to 7 how many boys and how many girls are in
the play
Answer:
This means that there are 8 more girls than boys in the school play. Hi Danielle. The ratio of boys to girls is 5:7. 5 + 7 = 12 5/12 of the students are boys.
Step-by-step explanation:
Please check the picture and answer the question
Answer:
185/20 + 132/20 = 53/20
Step-by-step explanation:
first you whould find the improper fractions then find LCD and that would get you the answer. To find improper fraction you whould multiply the whole # by the denominator then you add the numerator.
The graph of a function f is shown below. For how many values of x is f(x)=−4? WORTH A LOT
9514 1404 393
Answer:
4 values
Step-by-step explanation:
Draw a horizontal line at y = -4. Count how many places it crosses the graph.
There are 4 values of x where f(x) = -4.
The given number line shows the solutions to which inequality
Answer:
A is your answer.
Step-by-step explanation:
A) x > -3
B) x <= -3
C) x <= -3
D) x > -8
After playing the "Spin to Win" game, which has a probability of 0.25 of winning on any individual spin, Nick decides
to play "Knock down the Bottles." To win, Nick has to knock down all 3 bottles. Nick determines that the probability of
winning this game is 0.8. Nick plays "Spin to Win" twice and then plays "Knock down the Bottles" twice.
What is the probability that Nick loses both times he plays "Spin to Win" and wins both times he plays "Knock down
the Bottles"?
O 0.04
O 0.0025
O 0.0225
O 0.36
Answer:
0.36
Step-by-step explanation:
Edge 2021
A girl cuts out rectangular pieces of cardboard for a project. She checks to see that they are rectangular by determining if the diagonals are perpendicular. Will this tell her whether a piece is a rectangle? Explain.
A car travels 552.5 miles in 8.5 hours. An equation that represents the distance,d, a car travels in h hours is h = 65d
True Or False
Answer:
True
Step-by-step explanation:
it's true cuz im corrrect
Evaluate. (15+12)2+310⋅5 Enter your answer as a mixed number in simplest form by filling in the boxes. $$
Hey there!
(15+12)(2)+ 310(5)
= 27(2) + 310(5)
= 54 + 1,550
= 1,604
Therefore, your answer is should be: 1,604
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer: THE CORRECT ANSWER IS 125/64
NOT 1/4
Below is a pair of parallel lines p and q, and cut by
transversal t.
Find the measure of all missing angles.
m
59°
4
Se
6
24
25
27
Answer:
Step-by-step explanation:
A line passes through the points(-8,-7) and (-4, -4) what is the equation of the line in slope intercept form
Step-by-step explanation:
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y + 7)/(-4 + 7) = (x + 8)/(-4 + 8)
(y + 7)/3 = (x + 8)/4
4(y + 7) = 3(x + 8)
4y + 28 = 3x + 24
4y = 3x + 24 - 28
4y = 3x - 4
y = 3x/4 - 1
1000x200x400x20000x5000x500
Answer:
4e18
Step-by-step explanation:
I reccomend using a calculator for problems like this if you have one available as it gets to be a huge number which can be hard to work out by hand! :D
Note: e18 means it'll have 18 zeros!
Dakota paid $301.32 for a new game system, after tax, and the tax rate is 8%. What was the original price of the game system?
Answer: 279.
Step-by-step explanation:
First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.
Sales tax amount =x⋅0.08
Next, substitute the value into the equation:
Original Cost + Sales Tax Amount = Total Cost
x+0.08x=301.32
Add like terms.
1.08x=301.32
Divide both sides by 1.08 to isolate the unknown value.
x=$279
help me with math and ill mark brainliest
Answer:
121,59 the answer
just ask for Father explanation
Find the values of x and y. Please help
Answer:
x= 61 degrees
y= 61 degrees
Step-by-step explanation:
A triangle is equal to 180 degrees. We already know one corner is 58 degrees, and 180-58=122 remaining degrees. We also know the 2 remaining corners are equalivent, so we can do 122/2 which gives us 61 degrees for x and y. :)
A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches. What is the scale of inches in the drawing to inches in the actual room?
Start first by putting this in proportions, converting the feet to inches
10 8
—— = ——
180 144
Simplify as much as possible:
1 1
— = —
18 18
Therefore, the scale is 1:18
You are running a fuel economy study. One of the cars you find is blue. It can travel 45 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 23 3/5 miles on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
9514 1404 393
Answer:
blue: 36.4 mpgred: 29.5 mpgblue goes farther on 1 gallonStep-by-step explanation:
You find miles per gallon by dividing miles by gallons. ("Per" essentially means "divided by.")
blue(45.5 mi)/(1.25 gal) = 36.4 mpg
red(23.6 mi)/(0.8 gal) = 29.5 mpg
__
"Miles per gallon" is the number of miles traveled on one gallon. The blue car can travel a greater distance on 1 gallon of gasoline.
You have been gotten a job offer and the company wants to start you out at
$45,000 and will give you a 5% raise every year. Write an equation you could use to
determine how much you would be making after x number of years.
The equation that we would be making after x number of years is S(x) = 45000(1.05)^x where S(x) is the salary in xth year since the year of joining the job.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let the initial income be P
Let the raise be of R% annually.
Then, after 1 year, it would become
[tex]P_1 = P + (R\% \: of \: P) =P + \dfrac{P}{100} \times R = P\left(1 + \dfrac{R}{100}\right)[/tex]
Now, after 1 more year(second year), we get:
[tex]P_2 = P_1\left(1 + \dfrac{R}{100}\right) = P\left(1 + \dfrac{R}{100}\right)\left(1 + \dfrac{R}{100}\right) = P\left(1 + \dfrac{R}{100}\right)^2[/tex]
After one more year(third year), we get:
[tex]P_3 = P_2\left(1 + \dfrac{R}{100}\right) = P_1\left(1 + \dfrac{R}{100}\right)^2 = P\left(1 + \dfrac{R}{100}\right)^3[/tex]
Similarly, on xth year, we get:
[tex]P_x = P\left(1 + \dfrac{R}{100}\right)^x[/tex]
This is the salary on xth year.
For this case, we're provided that:
P = $45,000R = 5Thus, we get:
[tex]P_x = P\left(1 + \dfrac{R}{100}\right)^x\\\\P_x = 45000(1 + 0.05)^x = 45000(1.05)^x = S(x) \: \rm (say)[/tex]
Thus, the equation that we would be making after x number of years is [tex]S(x) = 45000(1.05)^x[/tex] where S(x) is the salary in xth year since the year of joining the job.
Learn more about forming equations here:
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