Answer:
Yes. The are equivalent to each other
Step-by-step explanation:
21 : 35
The LCM of these two numbers is 7
When we divide both of them by 7, we're left with 3:5
24 : 40
The LCM of these two numbers is 8
When we divide both numbers by 8, we're left with 3:5
And, 3:5 = 3:5, so we can say 21:35 = 24:40
PS: Also, if we multiply 21 : 35 by 8 and 24 : 40 by 7, we get the same result, i.e 168 : 280 which also proves that they are equivalent.
What is the product of StartFraction 4 Over 9 EndFraction and StartFraction 1 Over 11 EndFraction
Answer:
4/99
Step-by-step explanation:
An insurance company regularly reviews official police reports of traffic accidents in a particular region of the country so that it can price its premiums in that region appropriately. A review of a random sample of 582 accident reports showed that in 91 accidents, a teenage driver was found to be at fault.
Required:
Report the upper bound of a 90% confidence interval for the true proportion of accidents in the area that are caused by teenagers, to three decimal places.
Answer:
The upper bound of the 90% confidence interval is 0.181
Step-by-step explanation:
From the question we are told that
The sample size is n = 582
The number of accidents is k = 91
Generally the sample proportion is mathematically represented as
[tex]\r p = \frac{ k}{n} = \frac{582}{91 }[/tex]
=> [tex]\r p = 0.1564[/tex]
Generally the confidence level is 90% , the level of significance is [tex]\alpha = (100-90)\%[/tex]
=> [tex]\alpha = 0.10[/tex]
From the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p)}{n} }[/tex]
=> [tex]E = 1.645* \sqrt{\frac{ 0.1564 (1 - 0.1564)}{582} }[/tex]
=> [tex]E = 0.0248[/tex]
Generally the 90% confidence interval is mathematically represented as
[tex]0.1564 - 0.0248 < p < 0.1564 -0.0248[/tex]
=> [tex]0.1316 < p < 0.1812[/tex]
Answer and Step-by-step explanation:
Random sample = 582
No. of accidents = 91
P = 91 / 582 = 0.156
Confidence interval for proportion of accidents:
P ± z √(p(1-p)/n)
Where,
n = 582
p = 0.156
z = 1.645
Formula:
P ± z √(p(1-p)/n)
put these values in formula, we get:
= 0.156 ± 1.645 √(0.156(1-0.156)/582)
= 0.156 ± 1.645 √(0.1316/582)
= 0.156 ± 1.645 (0.01483)
= 0.156 ± 0.0244
= (0.1804, 0.1316)
Given the following geometric sequence find the common ratio {0.45, 0.9, 1.8}
Answer:
Given the following geometric sequence, find the common ratio. {0.45, 0.9, 1.8, ...} 0.45 0.9 2
Given the following geometric sequence {0.45, 0.9, 1.8, ...}, the common ratio is 2. The common ratio = 1.8/0.9 = 0.9/0.45 = 2
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she
sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can
be used to find m, the number of books Rachel sold on Monday.
Equation:
Step-by-step explanation:
1. Let the number of books sold on Monday be x.
2. And, The no. of Books sold on Tuesday be 2x , which is twice as the books sold on monday.
3. Now, The no. of books sold on Wednesday be 2x-6 ,
which is fewer than the books sold on Tuesday.
Where Total no. of books sold on 3 days is 19.
so, The equation be like: x+2x+2x-6 = 19
Answer:
m = 5
Step-by-step explanation:
On Tuesday, she sold twice as many books as she did on Monday. An equation is now formed from this:
I Tu = Mo * 2
On Wednesday, she sold 6 fewer books than she did on Tuesday. An equation is now formed from this:
II We = Tu - 6
During the three days Rachel sold 19 books. An equation is now formed from this:
III Mo + Tu + We = 19
The task says that you should just use one equation to find out how many books were sold on Monday. So take the last equation and replace Tu and We with terms in which Mo occurs.
Substitute equation I into equation III:
IIIa Mo + Mo*2 + We = 19
Replace Tu in Equation II with Equation I:
II a We = Mo * 2 - 6
Substitute equation IIa into equation IIIa:
IIIb Mo + Mo * 2 + Mo * 2 - 6 = 19
Now the equation is converted to Mo (Mo = m):
m + m * 2 + m * 2 - 6 = 19 | + 6
m + 2 m + 2 m = 25
5 m = 25 | : 5
m = 5
how do you round 0.313265 to the nearest tenth of a percent
Answer:
.313265*100 is 31.3265
rounded is 31.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = 4x + 5
g(x) = -10x² + 8x – 7
Find: f(x) · g(x)
Answer:
G(x) =0.4/0.7
F(x)= 6.6/14
Step-by-step explanation:
G(x)= 0.4/0.7
F(x)= 4(0.4)+5
=6.6
4(0.7)+5
=14.
Dm me if I'm wrong. If not, please mark as brainliest
if p:q=2:3 and q:r=6:5 find p:r
Step-by-step explanation:
p/q=2/3
q/r=6/5
First q is to be made same . So take LCM of 3 and 6 which is 6 only.
Now,
p/q=2×2/3×2=4/6
q/r=6/5 only
Cancel both the 6.
Therefore the answer is p/r=4/5.
Hope this helps
Answer:
p:r =4:5
hope it helps
A rectangle is inscribed in a circle
17 in.
18 in.
15 in.
Part A
Calculate the exact area of the cirde. Use the key on the calculator. Round answer to the nearest hundredth if necessary
square inches
Part B
Calculate the area of the rectangle. Round answer to the nearest hundredth if necessary
A=
square inches
Part
Calculate the area of the shaded region
Area of the shaded region
square inches
9514 1404 393
Answer:
A) 226.98 in^2
B) 120 in^2
C) 106.98 in^2
Step-by-step explanation:
A) The diagonal of the rectangle is the diameter of the circle. The area can be found using the formula ...
A = (π/4)d^2
A = (π/4)(17 in)^2 = 72.25π in^2 ≈ 226.98 in^2
__
B) The area of the rectangle is the product of its length and width:
A = LW
A = (15 in)(8 in) = 120 in^2
__
C) The shaded area is the difference between the circle area and the rectangle area:
shaded area = (226.98 in^2) -(120 in^2) = 106.98 in^2
Craig saved $10,950 in a year. He saved $75 more than what he saved the previous
month. How much did he save in the first month?
Answer: $10,875
Step 1: Subtract.
10,950 - 75 = 10,875.
Step 2: Add a dollar sign.
$10,875
Hope this helps!
Solve by substitution. 5x + 4y = -14 y = -7x - 15
Answer:
(-2,-1)
Step-by-step explanation:
The solution is, x = 3.06 and, y = -7.33..
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
5x + 4y = -14 ..(1)
y = -7x - 15
i.e. 7x + y = -15 ...(2)
for solving now, we multiply (2) by 4 , then subtract from (1),
we get,
5x + 4y = -14
20x + 4y = -60
------------------------
15x = 46
or, x = 3.06
and, y = -7.33
Hence, The solution is, x = 3.06 and, y = -7.33.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Weights of different sandwiches in two lengths are shown in the table.
Weight of Sandwiches by Length of Roll
6-inch Roll 12-Inch Roll
3
Cheese sandwich
e
Chicken salad sandwich
3
Ib
4
1
Egg salad sandwich
Ib
Vegetable sandwich
Which sandwich's weight is proportional to its length?
O cheese sandwich
O
chicken salad sandwich
o egg salad sandwich
o vegetable sandwich
Answer:
Egg salad sandwich is proportional to its length
Step-by-step explanation:
Weight of Sandwiches by Length of Roll
6-inch Roll 12-Inch Roll
Cheese sandwich [tex]\frac{1}{4}[/tex] [tex]\frac{3}{4}[/tex]
Chicken salad sandwich [tex]\frac{3}{4}[/tex] [tex]1\frac{3}{4}[/tex]
Egg salad sandwich [tex]\frac{2}{3}[/tex] [tex]1\frac{1}{3}[/tex]
For cheese sandwich proportion
[tex]\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16[/tex]
So, Cheese sandwich weight is not proportional to its length
For Chicken salad sandwich proportion
[tex]\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}[/tex]
So, chicken salad sandwich is not proportional to its length
For Egg salad sandwich proportion
[tex]\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9[/tex]
So, egg salad sandwich is proportional to its length
A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below.
a. Find the percentage of men meeting the height requirement.
What does the result suggest about the genders of the people who are employed as characters at the amusement park?
Please answer this correctly without making mistakes
Answer:
The point G represents: "60 dollars is the cost to dry clean 6 suits."
Step-by-step explanation:
If you look at the graph, on the bottom it shows number of suits, which is the independent. On the left it shows the cost of suits which is the dependent.
The dependent (Money) depends on the independent (Suits) so when you look at the point G you see that it is graphed on 6 suits for 60 dollars.
2. Simplify the expression (6.8 x 106) +
(3.4 X 106). Express
your answer in
scientific notation.
someone help
Answer:
1081.2x10
Step-by-step explanation:
In Belmont it snowed 1 inch in the morning and 1/5 of an inch in the afternoon. What was the total amount of snowfall ?
Answer:
11/5 or 1 and 2/10
Step-by-step explanation:
9514 1404 393
Answer:
1 1/5 inches
Step-by-step explanation:
It should come as no surprise that the sum of 1 and 1/5 can be written as the mixed number 1 1/5.
Recognizing that 1 = 5/5, the sum of 1 and 1/5 can also be written as the improper fraction ...
1 1/5 = 5/5 +1/5 = (5+1)/5 = 6/5
The total snowfall was 1 1/5 or 6/5 inches.
Need the answer ASAP. -6x-4>-2(x-4)
Find x - someone help me please
Answer:
-10
Step-by-step explanation:
x + 75 + x + 125 = 180 add like terms
2x + 200 = 180 subtract 200 from both sides
2x = -20 divide both sides by 2
x = -10
Solve this equation
-(C^5)⁴
Answer:
[tex]-(C^5)^4\\= -(C^2^0)\\= -C^2^0[/tex]
What is the slope of the line passing through the points (-2, 6) and (1, -3)
Answer:
slope is -3
Step-by-step explanation:
use slope equation, shown in picture hope this helps
As Mercury revolves around the sun, it travels at a speed of approximately 30 miles per second.Convert this speed to miles per minute. At this speed, how many miles will Mercury travel in 3 minutes? Do not round your answers.
Answer:
Step-by-step explanation:
30*1.6 = 48 km per second
48 * 2 = 96 kilometres
this is not rounded!!
How you do this work ?
Answer:
24
Step-by-step explanation:
1 ant = 6 legs
6 legs ×2 ants= 12 legs of ants
1 butterfly = 6 legs
2 butterfly ×6 legs = 12 legs of butterfly
total
12 legs of butterfly + 12 legs of ants
= 24 legs in total
Answer:
24
Step-by-step explanation:
1 ant = 6 legs
2 ants = 6 + 6 = 12
2 ants = 12 legs
1 butterfly = 6 legs
2 butterflies = 6 + 6 = 12
2 butterflies = 12 legs
12 + 12 = 24
There were 24 legs all together.
If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
There is one real root.
There are two complex imaginary roots.
There is one complex imaginary root.
There are two real roots.
Answer:
Step-by-step explanation:
A discriminate of -8 is never going to give you a real root. D is wrong
You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.
So the answer is B. You have 2 complex roots.
erika says that no matter how many decimal places she divides to when she divides 1 by 3, the digit 3 in the quotient will just keep repeating. is she correct?n
Answer:
Yes
Step-by-step explanation:
When u divide 1 by 3 the answer is repeating 0.3333....
Andy saved $80 over the summer from his part-time job. He withdrew 30% of the money to buy new clothes. How much money does Andy have left in
the account after withdrawing the money?
Answer:
$56 I think
Step-by-step explanation:
because 30% of 80 is 24 and 80-24=56
Which of the following numbers is a factor of 555555?
Choose 1 answer:
Answer: You didn't give choices but here are all of them
Step-by-step explanation: 1, 3, 5, 7, 11, 13, 15, 21, 33, 35, 37, 39, 55, 65, 77, 91, 105, 111, 143, 165, 185, 195, 231, 259, 273, 385, 407, 429, 455, 481, 555, 715, 777, 1001, 1155, 1221, 1295, 1365, 1443, 2035, 2145, 2405, 2849, 3003, 3367, 3885, 5005, 5291, 6105, 7215, 8547, 10101, 14245, 15015, 15873, 16835, 26455, 37037, 42735, 50505, 79365, 111111, 185185, 555555
Answer
The factors of 55 are 1, 5, 11, and 55.
Step-by-step explanation:
Help please
Is it possible that the lengths of the sides of a triangle are proportional to the numbers 1, 2, and 3?
Answer:
No
Step-by-step explanation:
Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.
You would have sides x, 2x, 3x in this case and use the inequality a+b>c.
if...
a=x, b=2x, c=3x
then...
x+2x>3x
3x>3x which is false.
Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.
The ratio of butterflies to bees in Lucy's insect collection is 3 to 4. If there are 32 bees, how many butterflies would there be?
Answer:
24:32
Step-by-step explanation:
When I saw that you wrote 'the ratios of BUTTERFLIES TO BEES' it tells me that I need to do the order of But. to Bees. I saw you had 3:4, and you said, '32 bees' I know because of that, 32 bees needs to be the second.
I got my answer, by seeing 4x_=32. I actually multiplied 4x8=32, and then multiplied 3x8 as well, to get 24. Then I got my answer: 24:32!
HOPE I HELPED:)
-Adiel, Age 11, 6th Grade
How to find the volume using the formula V=l•w•h to solve for the formula of W
Please help fill it in I’ll mark you as brainlist
Answer:
it so blurry
Step-by-step explanation:
CJ = 2x – 1 and
JT = 82 – 43
Answer:
CT = 10x-44
Step-by-step explanation:
Since J is the midpoint you would set your equation up like this
2x-1+8x-43Now you would add like terms
10x-44Hope this helps!