Answer:
original fraction =12/5
Step-by-step explanation:
let x = numerator
therefore
x+3/x-7+3 =15/8
x+3/x-4 =15/8
8(x+3)=15(x-4)
8x+24=15x-60
84=7x
84/7=x
12=x
therefore original fraction = 12/5
A 12 inch board is cut into three pieces so that the second piece is as long as the first piece and the third piece is 3 times as long as the first piece of x represents the first piece find the lengths
Step-by-step explanation:
well that seems like a you problem lol
In each month, the proportion of ‘Prize’ bonds that win a prize is 1 in 11,000. There is a large number of prizes and all bonds are equally likely to win each prize.
(a) Show that, for a given month, the probability that a bondholder with
5000 bonds wins at least one prize, is 0.365, correct to 3 significant figures.
(b) For a given month, find the probability that, in a group of 10 bondholders
each holding 5000 bonds, four or more win at least one prize
Answer:
Step-by-step explanation:
Given that:
The proportion of price bonds that wins a prize is 1 in 111000
The probability of winning at least one prize = 1 - Probability of winning no prize at all.
Probability of winning at least one prize = [tex]1 - \bigg (\dfrac{10999}{11000} \bigg)^{5000}[/tex]
Probability of winning at least one prize = 1 - 0.9999090909⁵⁰⁰⁰
Probability of winning at least one prize = 1 - 0.635
Probability of winning at least one prize = 0.365
Since this question follows a binomial distribution with the probability of p = 0.365 and number of sample n = 10
Then; the probability of four or more will win at least one prize can be computed as follows:
[tex]= \sum \limits ^{10}_{x=4} \bigg( ^{10}_{x} \bigg)(0.365)^x (1- 0.365)^{10-x}[/tex]
[tex]= \bigg( ^{10}_{4} \bigg)(0.365)^4 (0.635)^{10-4}[/tex]
[tex]= \bigg( \dfrac{10!}{4!(10-4)!} \bigg)(0.365)^4 (0.635)^{6}[/tex]
[tex]= 0.244[/tex]
3{[3(9 – 2)] + [7(8 – 1)]}
1. Jake makes $11.15 per hour and works for 28 hours. What is his
straight-time pay? (Financial 1.1)
SHOW YOUR WORK
Answer:
$312.2
Step-by-step explanation:
Given that:
Amount earned per hour = $11.15
Number of hours worked = 28 hours
Straight time pay is the total amount earned in a given pay period. Hence,
Starlight time pay earned during the period he worked will be :
Amount per Hour * number of hours
$11.15 * 28 = $312.2
what is 5x -5?
And Could you explain, im truly lost
its 5x5 but with a negative
Step-by-step explanation:
Elizabeth gave 13% of the cost as a tip to the delivery person who delivered her car after service at a cost of $294. What will be the total cost with tip to the nearest cent?
Answer:
If an amount is included as a "Gratuity" or "Service Charge," tipping is not required. ... If the tip is included, the breakdown of the bill will read "gratuity" or "service charge," which means that a tip is already included.
Step-by-step explanation:
hope this helps!
With the equation 3x - 5 = x + 3,
Answer:
x = 4 :)
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
3x - 5 = x + 3
add 5 to both sides
3x = x + 8
subtract x from both sides
2x = 8
divide both sides by 2
x = 4
what is the image of (6,-6) after a dilation by a scale factor of 4 centered at the origin
9514 1404 393
Answer:
(24, -24)
Step-by-step explanation:
Dilation centered at the origin multiplies each coordinate by the dilation factor.
image = 4 × (6, -6)
image = (24, -24)
Negative 3/5 ×17 5/8=
Answer:
-10.575
Step-by-step explanation:
Which of the following is equal to 5 1/3?
What is: 7x + 1.8 + 2.2 = 30
Step-by-step explanation pls! :)
There are 4680 gym members in total. 3 8 are aged 25 - 59 years, 2 5 are over 60 years and the remainder are under 25 years.
During a jump, a sky diver reaches terminal velocity. Which forces are in effect during a sky dive, and are they balanced or unbalanced when the jumper is at terminal velocity?(1 point)
Unbalanced. The force of gravity is stronger than the force of air resistance, which is why the sky diver is falling.
Balanced. The forces of gravity, air resistance, and speed are all in balance.
Balanced. The force of gravity is balanced with the force of air resistance.
Unbalanced. The force of air resistance is stronger than the force of gravity, which is why the sky diver is at terminal velocity.
Answer:
1.) Unbalanced
Step-by-step explanation:
have a great day
What is the slope of the line?answer
Answer: -1/2
Step-by-step explanation:
Answer:
The slope is -1/2
Step-by-step explanation:
Go down then over to find the negative slope
rise/run or fall/run
Go down from the "pretty point" or perfect point and the over.
What are the solutions to the equation 3x2 + 10x = 8
Answer:
(3x-2)(X+4)
X=2/3,-4
Step-by-step explanation:
3x^2 + 10x = 8
3x^2+12x-2x-8=0
3x(X+4)-2(X+4)=0
(3x-2)(X+4)=0
X=2/3,-4
So the solution is 2/3,-4
Use counters or a number line to find the sum.
-4 + (-6)
Answer:
the answer is -10
Step-by-step explanation:
At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get?
Answer:
6
Step-by-step explanation:A customer gets 2 free books for every 7 purchased books. Larry purchased 21 books, and you need to find how many free books he got. Write a proportion.
2 free books
7 purchased books
=
? free books
21 purchased books
Compare the denominators.
2 free books
7purchased books
=
? free books
21purchased books
To get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.
2 free books3
7 purchased books3
=
6free books
21 purchased books
Larry got 6 free books.
Lerry will get 6 free books . Because she gets 2 free books for every 7 purchased books.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
For every 7 books a consumer buys, they receive 2 free books. Larry bought 21 books.
If the larry bought 21 book.She get 6 book as;
On the purchased of 7 book then on 14 book and then on the 21 book.
The free books did Larry get is found as;
⇒2+2+2
⇒6
Hence Lerry will get 6 free books .
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what is 4 divided by 0.576
4 divided by 0.576 is approximately equal to 6.9444.
To find the result of 4 divided by 0.576, we can perform the division by dividing the numerator ( 4 ) by the denominator ( 0.576 ).
When we divide 4 by 0.576, we get approximately 6.9444.
Therefore, 4 divided by 0.576 is approximately equal to 6.9444.
In decimal form, this indicates that 4 can be divided into 0.576 approximately 6.9444 times. The result is a decimal number that extends to multiple decimal places. To obtain a more precise or exact answer, additional decimal places may need to be considered in the calculation.
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Bob paid $5.60 for 0.8 lb of fresh peaches.
How much would 3.25 lb of peaches cost?
Answer:
22.75
Step-by-step explanation:
5.6 divided by 0.8=Constant Variation=7
3.25*7=22.75
The price of the 3.25 lb peaches is $22.75.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Bob paid $5.60 for 0.8 lb of fresh peaches. The price of the 3.25 lb peaches will be calculated as,
0.8 lb of peaches ⇒ $5.60
1 lb of peach ⇒ $5.60 / 0.8
3.25 lb of peaches ⇒ (3.25 x $5.60 ) / 0.8
3.25 lb of peaches ⇒ $22.75
Therefore, the price of the 3.25 lb peaches is $22.75.
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Stainless steels can be susceptible to stress corrosion cracking under certain conditions. A materials engineer is interested in determining the proportion of steel alloy failures that are due to stress corrosion cracking. In the absence of preliminary data, what is the minimum sample size required to ensure a 90% confidence interval for p to within 0.02
Using the z-distribution, as we are working with a proportion, the minimum sample size required to ensure a 90% confidence interval for p to within 0.02 is of 1692.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem:
No prior estimate, hence the proportion is [tex]\pi = 0.5[/tex].Margin of error of M = 0.02.90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].Then, solving for n:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.645(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.645(0.5)}{0.02}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.02}\right)^2[/tex]
[tex]n = 1691.3[/tex]
Rounding up, a sample size of 1692 is needed.
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On a map, 4 inches represents 240 miles. What is the scale of the map?
4) Adult tickets for the evening show at XD Theater are $11 and children's tickets are $Belf the theater seats 250 people, how many adult tickets must be sold for $2.300 of total sales? Answer: adult tickets
Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.
Answer: 100 adult tickets must be sold.
Step-by-step explanation:
step 1
let x represent Adults
AND y represent children
Since the theater seats 250 people we have that
x+y = 250..... equation 1
Also price for Adult ticket = $11
and price children ticket =$8
With total sales at $2,300, we have that
11x + 8y= 2300----- equation 2
Step 2
Making y subject in equation 1
' x+y = 250
y= 250-x
Putting y= 250- x in equation 2
11x + 8(250-x)= 2300
11x +2000-8x= 2300
11x -8x = 2300-2000
3x= 300
x 300/3
x= 100.
To find y
x+y = 250
100+y=250
y=250-100
y=150
Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300
A rectangular room is
1.8
times as long as it is wide, and its perimeter is
27
meters. Find the dimension of the room.
We should fuigre it out by first doing 1.7x since we don't know the 2 different widths and lengths.
P= 2*length + 2*width(the distance around)
Question says...
2(1.7x)+2x = 28
3.4x+2x=28
5.4x=28
X= 28m divided by 5.4
x = 5.2m: the width The length is : 8.8m
At least I tried!.....#DareCompleted
Answer:
Very nice Drawing. Your try is so nice
What is the missing number?
Question 4 options:
Answer:
i dont see it
Step-by-step explanation:
when
a
=
4
a
=
4
AND
B
=
6
B
=
6
what is the value of
7
a
+
b
2
÷
9
7
a
+
b
2
÷
9
Answer:
12
Step-by-step explanation: A - A = B and B - 8 = 12
Help me Please 20 POINTS
When two variables are in a proportional relationship, which of the following is true about
1 their values.
2 their sums are a constant
3 their differences are a constant
4 their products are a constant
5 their quotients are a constant
Answer:
(5)
for eg;
3/5 is proportional to 15/25
Answer:
I would say 1 or 4
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
6 cm
8 cm
8 cm
12 cm
The perimeter of the polygon above is
Answer:
12 cm !!!
hope you mark me bainliest or your friend
Question 8 » Our galaxy, the Milky Way, has a diameter of about 1* 1021 meters. The largest galaxy known to man, the IC 1101, has a diameter of 5 * 1022 meters. The diameter of the IC 1101 is about how many times greater than the diameter of the Milky Way? Milky Way: 1x 1021 m IC 1101: 5 x 1022 m 5 50 5,000 500
Answer:
the Milky Way, has a diameter of about 1x10^21 meters. the largest galaxy known to man, the ic 1101, has a diameter of 5x10^22 meters.
Step-by-step explanation:
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For the following figure , the value of x is
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[tex]x = 8 \: \: in[/tex]
[tex]y = 8 \sqrt{2} \: \: \: in[/tex]
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