each of the numbers from 1 to 50 is written on a tile and the tiles are placed upside down on the top of the table. if a tile is picked up at random, what is the probability that the number on the tile is multiple of 7 or a multiple of 8?

Answers

Answer 1

The probability that the number on the tile is a multiple of 7 or a multiple of 8 is 0.24 or 24%.

To find the probability that a tile picked at random has a number that is a multiple of 7 or a multiple of 8, we need to count the number of tiles that satisfy this condition and divide it by the total number of tiles.

First, let's find how many numbers from 1 to 50 are multiples of 7 and multiples of 8 separately.

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

There are 7 multiples of 7 between 1 and 50.

Multiples of 8:

8, 16, 24, 32, 40, 48

There are 6 multiples of 8 between 1 and 50.

However, we need to be careful not to count the numbers that are multiples of both 7 and 8 (multiples of 56). There's only one such number in the range (56).

So, the total number of tiles with numbers that are multiples of 7 or multiples of 8 is 7 + 6 - 1 = 12.

The total number of tiles from 1 to 50 is 50.

Now, we can find the probability:

Probability = [tex]\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]

Probability = [tex]\frac{12}{50}[/tex]

Probability = 0.24

So, the probability that the number on the tile is a multiple of 7 or a multiple of 8 is 0.24 or 24%.

Related Questions

Dayla earns $108.75 for working 15 hours of holiday open rap at this rate how much money will see you earn if she works 18 hours the next week explain

Answers

using the unitary method the rate per hour can be determined, i.e
15 hours to $108.75
1 hour to 108.75/15 = $7.25 per hour

dayla would earn (7.25*18) for the preceding week which $130.50

y times 6 for y = 2/3

Answers

Here, in mathematical expression,it would be:
6y = 2/3
y = 2/3*6
y = 2/18
y = 1/9

So, your final answer is 1/9

Hope this helps!

the answer is 4 2/3 is 4

Which of the following is the statement of the triangle inequality theorem?
A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle.
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
C. The longest side of a triangle is opposite the largest angle.
D. The largest angle of a triangle is between the two longest sides.

Answers

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

[tex] a+b > c [/tex]

case 2)

[tex] a+c > b [/tex]

case3)

[tex] c+b > a [/tex]

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

Answers

the answer is (x+1)²= x²+2x+1
so x^2 + 2x must be added 1 to become x²+2x+1=(x+1)²

A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. %

Answers

Answer:

Salesman's commission 4% of total monthly sales.

Step-by-step explanation:

A sneaker store salesman had $4,125 in total monthly sales last month.

He made $165 in commission from those sales.

Suppose, it is x% of the total sale.

So, x% of $4125 will be,

[tex]=4125\times \dfrac{x}{100}[/tex]

According to the question it is equal to $165, so

[tex]\Rightarrow 4125\times \dfrac{x}{100}=165[/tex]

[tex]\Rightarrow x=\dfrac{165\times 100}{4125}[/tex]

[tex]\Rightarrow x=\dfrac{16500}{4125}[/tex]

[tex]\Rightarrow x=4\%[/tex]

Therefore, salesman's commission 4% of total monthly sales.

Answer: 4%

Step-by-step explanation:

Due to the fact that the salesman had $4,125 in total monthly sales the previous month, the answer would be 4%

Express 31% as a fraction in its lowest form

Answers

31 ------ 100 that's is what I got in the lowest form x

Final answer:

To express 31% as a fraction in its lowest form, divide 31 by 100 and simplify the resulting fraction.

Explanation:

To express 31% as a fraction in its lowest form, we need to convert the percent to a decimal first. We do this by writing 31% as a fraction with a denominator of 100 and dividing the numerator by the denominator: 31/100. To reduce the fraction to its lowest form, we find the greatest common divisor (GCD) of the numerator and denominator, which is 1. Dividing both the numerator and denominator by 1, we get the fraction 31/100 in its lowest form.

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If h(x) = -3x - 10, find h(-3).
Answer
-1
2.3
-19
1
...?

Answers

The correct answer is: [A]: " - 1 " .
__________________________________________________________
Explanation:
__________________________________________________________
Given: " If h(x) = -3x − 10, find h(-3). "

So; we plug in "-3" for all values of "x" ; to solve for " h(-3)" ; as follows:

→ h(-3) = -3(-3) − 10 = 9 − 10 = - 1 .

The answer is: " - 1 " .
__________________________________________________________

Give 9.7814 correct to the nearest whole number

Answers

the answer is 10.
because you're rounding

Final answer:

9.7814 rounded to the nearest whole number is 10, as the first digit after the decimal point is 7, which requires rounding up.

Explanation:

To find the nearest whole number to 9.7814, we need to look at the first digit after the decimal point. Since this digit is 7 (which is equal to or greater than 5), we round up the number. Rounding up changes 9.7814 to the next whole number, which is 10.

The general rule for rounding to the nearest whole number is:

If the first decimal place is 5 or greater, round up.If the first decimal place is less than 5, round down.

Therefore, 9.7814 rounded to the nearest whole number is 10.

Which equation shows the substitution method being used to solve the system of linear equations?

x – y = 7
x = y + 3

A.
(y + 3) – y = 7

B.
x = (7 – x) + 3

C.
x – (y + 3) = 7

D.
x – y = y + 3

Answers

A. (y+3)-y = 7 is the correct answer

what are the translation rules in geometry?

Answers

The original object and its translation have the same shape and size, and they face in the same direction. A translationcreates a figure that is congruent with the original figure and preserves distance (length) and orientation (lettering order). A translation is a direct isometry.

Final answer:

The translation rules in geometry involve moving every point in a figure the same distance and direction. For a horizontal translation, add or subtract the same value from the x-coordinate of each point. For a vertical translation, add or subtract the same value from the y-coordinate of each point.

Explanation:

In geometry, translation is a transformation that moves every point in a figure the same distance and direction. The translation rules involve determining the new coordinates of the translated figure.

The translation rules in geometry can be summarized as:

For a horizontal translation, add or subtract the same value from the x-coordinate of each point.For a vertical translation, add or subtract the same value from the y-coordinate of each point.

For example, if you have a point with coordinates (2, 3) and you want to translate it 3 units to the right and 2 units up, you would add 3 to the x-coordinate and 2 to the y-coordinate to get the new coordinates of the translated point: (5, 5).

Explain what the m and b variables represent in the y=mx b equation

Answers

m is the slope which is also the rate of change and x is the independent variable

Solve for x and show work. 2xln(1/x)-x=0

Answers

Add x to the 0 and it would be 2xIn(1/x)=x
Then divide 2x and it will be
In(1/x)=1/2
Then
e^1/2=1/x
1.65=1/x
x=1/1.65

A store is having a 10% off sale. It gives an additional 20% off for an item that is above $100 after the first 10% discount.A jacket costs $124.99
if you buy the jacket, how much will you save in total?
*SHOW WORK* ...?

Answers

Final answer:

To calculate the total amount saved when buying a jacket at a store with a 10% discount and an additional 20% discount, follow these steps: find the savings from the first discount, calculate the price after the first discount, check if the price is above $100, calculate the additional discount, and add both savings together. In this case, the total amount saved is $34.9972.

Explanation:

To calculate the total amount saved, we need to use the following steps:

Find the total savings from the first 10% discount: $124.99 * 0.10 = $12.499Find the price of the jacket after the first discount: $124.99 - $12.499 = $112.491Check if the price is above $100. If it is, calculate the additional 20% discount: $112.491 * 0.20 = $22.4982Add the savings from the additional discount to the previous savings: $12.499 + $22.4982 = $34.9972

So, the total amount saved is $34.9972.

Final answer:

To find the total amount saved, apply the discounts and add the amounts together. The total amount saved is $35.00.

Explanation:

To find the total amount saved, you need to calculate the discount for each discount percentage. First, apply the 10% discount to the original price of the jacket:
10% of $124.99 = $12.499.
Next, apply the 20% discount to the price after the first discount:
20% of ($124.99 - $12.499) = 20% of $112.491 = $22.4982.

Finally, add the two discounts together to find the total amount saved:
$12.499 + $22.4982 = $34.9972.

Rounding to the nearest cent, the total amount saved is $35.00.

Simplify: log base 3 (1/3) ...?

Answers

The answer is 1.

[tex]log_3( \frac{1}{3} )[/tex]
_____
Since [tex]log_y(x) = \frac{log_{10}(x)}{log_{10}(y)} [/tex], then: [tex]log_3( \frac{1}{3} )= \frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)} [/tex]
_____
Since [tex] \frac{1}{x} = x^{-1} [/tex], then: [tex]\frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)} = \frac{log_{10}(3^{-1} )}{log_{10}(3)} [/tex]
_____
Since [tex]log x^{a} =a*logx[/tex], then: [tex]\frac{log_{10}(3^{-1} )}{log_{10}(3)}= \frac{-1*log_{10}(3)}{log_{10}(3)} [/tex]

From here: [tex]\frac{-1*log_{10}(3)}{log_{10}(3)}=-1*\frac{log_{10}(3)}{log_{10}(3)}=-1*1 = -1[/tex]

A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 0.7m^3/min. How fast is the water level rising when it is 0.8 m?

Answers

this can help you
look at the image

r / 2 = h / 3 r = 2/3h V = 1/3(pi)r^2h . Put r = 2/3h V = 1/3(pi)(4/9)h^3 = 4(pi)/27h^3 dV/dt = 4(pi)/27(3h^2)dh/dt = 4/9(pi)(h^2)dh/dt Plug in the numbers and solve for dh/dt at h = 0.8

dV/dt = 4/9(pi)(h^2)dh/dt = 1.396h^2dh/dt dV/dt = 0.7, h = 0.8 0.7 = 1.39(.8^2)dh/dt dh/dt = 0.78 meters / min

what is 2/3x5/6x14 can you help me on this problem

Answers

you must multiply first the first two terms and then, once you have that result, you mutliply what you've got times the other number (14). Then you'll get the final result :)

Answer: 7 wholes and 63/81

Let's start with 2/3 x 5/6. 2 x 5= 10, 3 x 6= 18. New fraction is 10/18 which is simplified to 5/9. Now do 5/9 x 14/1. 14 x 5= 70. It would then be 70/9 as an improper fraction. Now make a mixed fraction which is 7 7/9

How many millimeters are in 50 centimeters?

Answers

50 × 10= 500 mm.........

1cm= 10mm
so, 50x10=500

What is the solution to the system of equations?

y = 1.5x – 4

y = –x

a. (–1.6, 1.6)
b. (–1.5, 1.5)
c. (1.5, –1.5)
d. (1.6, –1.6)

Answers

I hope this helps you

y= 1.5x - 4

-x= 1.5x - 4

1.5x+x=4

2.5x=4

x=1.6

y= -1.6

What is the square root of 59,005?

Answers

242.9 . I worked it out on a piece of paper so it might be right .

What is the ratio of julios 22 to jonah 8 points?

Answers

22:8
the answer is 11:4

What is the solution of the equation?
4p/6+27=39

A. 22
B. 99
C. 4
D. 18

Answers

4p/6+27=39

We simplify the equation to the form, which is simple to understand
4p/6+27=39

Simplifying:
+ 0.666666666667p+27=39

We move all terms containing p to the left and all other terms to the right.
+ 0.666666666667p=+39-27

We simplify left and right side of the equation.
+ 0.666666666667p=+12

We divide both sides of the equation by 0.666666666667 to get p.
p=18

13 tenths plus 8 tenths plus 32 hundredths <,> =,to 2.42

Answers

13/10 as a decimal is 1.3. 8/10 as a decimal is 0.8, and 32/100 as a decimal is 0.32. If you add up 1.3, 0.8, and 0.32, you get 2.42, which, obviously, is equal to 2.42. Hope this helps!

graph the equation. y = 4x - 3

Answers

point at (0,-3) and another point at (1,1)....draw a straight line through the points and draw arrows at the end, symbolizing that the line goes to infinity

A bag cost 10.50 but you get 20 percent off how much is the bag now?

Answers

Total cost of the bag will be product of bag cost and percentage off

Which is
$10.50×.2=$8.40

The hand on a clock shows 6:00pm what is the measure of the angle

Answers

180 degrees, the angle would be 180 degrees

For a clock to be showing 6:00, the minute hand must be straight up and the hour hand straight down. This creates a straight line, which has an angle of 180° or π radians.

what is the 10th term of this geometric sequence?
1,2,4 ,8...
A)128
B)256
C)512
D)1024

Answers

8 × 2 = 16 = 5th term
16 × 2 = 32 = 6th term
32 × 2 = 64 = 7th term
64 × 2 = 128 = 8th term
128 × 2 = 256 = 9th term
256 × 2 = 512 = 10th term
The answer is 512
Hope this helps!

Linda Frankell pays $50.00 a month for group health insurance. There is a $300 deductible. Her medical bills for the last year were $2,600.00. Linda's insurance company provided payment of 80% of the bills less the deductible.

What was the insurance company's payment? $

What was Linda's total cost (including the monthly premium)? $

Answers

Linda Frankell Pays $50.00 a month towards group health insurance, so for a year, that is for 12 months, her premiums would be

Linda's premiums for 12 months = $50 × 12 = $600

Deductible is the amount Linda Frankell will have to pay each year as a policy holder towards her medical expenses before the insurance company pays its share.

Amount Linda pays towards deductible = $300

Linda's medical bills = $2,600.00
The insurance company will pay 80% of the bills less the deductible, which means, the insurance company will pay 80% of the ($2,600.00 - $300 deductible = $2,300.00)

∴ Amount the insurance company pays = 80% of $2,300.00 = $1,840.00

Amount Linda has to pay towards the $2,300.00 = $2,300.00 - $1,840.00 = $460.00

Linda's total cost = Linda's 12 months premiums + $300 deductible + $460 = $600 + $300 + $460 = $1,360.00

Insurance company's payment = $1840.00
Linda's total cost = $1,360.00

what is an estimation of 492.6 divided by 48

Answers

492.6/48 ~ To simply view this:

480/48 = 10
12.6/48 = 0.25 (roughly).
10.25 would roughly be your answer.

Though...
The actual answer is that:
12.6/48 = 0.2625
So... the answer: 10.2625 would be the answer.
Depending on where you have to estimate to:
10.2625
10.263
10.26
10.3

I hope that helps, have a great of your day! ^ ^
{-Ghostgate-}

Answer:

10.

Step-by-step explanation:

We are asked to find the estimation of 492.6 divided by 48.

First of all, we will round 492.6 to nearest hundreds and 48 to nearest tens.

Since tens digit of 492.6 is greater than 5, so we will round up to nearest hundred as: [tex]492.6\approx 500[/tex]

Since ones digit of 48 is greater than 5, so we will round up to nearest tens as: [tex]48\approx 50[/tex].

Now, we will find the quotient as:

[tex]\frac{500}{50}=10[/tex]

Therefore, an estimation of 492.6 divided by 48 would be 10.

If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?
It includes points in Quadrant I.
It includes points in Quadrant II.
It does not include points in Quadrant I.
It does not include points in Quadrant II.

Answers

Answer:

It includes points in Quadrant II.

It does not include points in Quadrant I.

Step-by-step explanation:

Given : If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV.

To find : which statement about the graph of f(x) must be true.

Solution : We have given that f(x) is an odd function is lies in Quadrant IV.

Definition of an odd function: the y-value of the function at negative x is always opposite sign as the y-value of function at opposite x.

Like (x ,-y) or (x , -y)

In odd function x and y values are in opposite sign that mean odd function always lies in Quadrant II and Quadrant IV.

It does not include points in Quadrant I

Therefore, It includes points in Quadrant II.

It does not include points in Quadrant I.

Answer:

includes quad 2

Step-by-step explanation:

Read the numbers and decide what the next number should be 8,4,2,6,3,2,4.

Answers

Final answer:

The given sequence involves a two-part pattern. One part is halving the previous number and the other part alternates between 4 and 6. Considering the pattern, the next number should be 0.5.

Explanation:

The sequence 8,4,2,6,3,2,4 appears to have a pattern. It seems to be a two-part pattern that alternates. The first part, observed in the numbers 8, 2, and 2, is halving (8 divided by 2 is 4, and 2 divided by 2 is 1, and 1 by 2 is 0.5). Then, the second part, observed in 4,6,4, seems to alternate between 4 and 6. So, if the pattern continues, the next number after 4 should be 0.5 from the first part of the pattern.

Learn more about Number Sequence here:

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Final answer:

The sequence could actually be representing two series - one series is halving the number (8 to 4 to 2) and the other is multiplying each number by 2 (3 to 2 to 4 to 8). Thus, the next number could either be 1 (if we continue the halving series) or 12 (if we continue the multiplying by 2 series).

Explanation:

The number sequence provided seems to be made of two different series interwoven. One series is halving each number (8 to 4 to 2), and the other series is multiplying each number by 2 (2 to 4 to 6 to 12).

Therefore, the next number after 8, 4, 2, 6, 3, 2, 4 should be 1 (half of 2) whereas the next number in the second series after 6, 3, 2, 4 should be 12 (four times 3). So, depending on which pattern the sequence is following, the next number could be either 1 or 12.

Learn more about Number Sequence here:

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