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aev [14]
3 years ago
8

Find the value of x so that the ratios 9 : x and 15 : 40 are equivalent.

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

Answer:

x = 24

Step-by-step explanation:

x/9 = 40/15

x/9 = 8/3

x/9 = 24/9

x = 24

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Finke typing speed increased from 40 words per minute to 45 words per minute. What was the percent increase?
Kaylis [27]
In the given question, it is already disclosed that the typing speed of Finke has increased from 40 words per minute to 45 words per minute. Now we have to find the percentage increase in the speed of typing.
For this purpose we have to find the solution in the method described below.
Number of increase in words typed per minute = 45 -40
                                                                           = 5
Then Percentage increase in the speed of typing by Finke = (5/40) * 100
                                                                                              = (1/8) * 100
                                                                                               = 25/2
                                                                                               = 12.5
So the percentage increase in the typing speed of Finke is 12.5%. I hope this has answered your question and the description used to solve this problem is understandable.
8 0
3 years ago
JACKIE COLLECTS DATA THROUGTH THE BASEBALL SEASON AND USED THESE DATA TO DETERMINE THE PROBABILITIES OF DIFFRENT TEAMS PLAYING I
Citrus2011 [14]

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

5= 5^1

8= 2 * 2 * 2 = 2^3

2= 2^1

We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

Bulldogs = 3/8 * 15/15 = 45/120

Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120

4 0
2 years ago
In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins. (a) The
Kay [80]

Answer:

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

Z score = 2.05607

Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.

(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.

= 298 wins

Step-by-step explanation:

In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins.

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

x = 103 wins, μ = 81 wins, σ = 10.7

z = 103 - 81/10.7

z = 2.05607

Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.

(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the above question, we are asked to find the number of wins, this means we should find the raw score = x

z = 20.28, x = ? μ = 81 , σ = 10.7

Hence,

20.28 = x - 81/10.7

Cross Multiply

20.28 × 10.7 = x - 81

216.996 = x - 81

x = 216.996 + 81

x = 297.996

x is approximately 298 wins

Therefore, the number of wins for the Chicago White Sox for 2016 is approximately 298 wins

4 0
3 years ago
Margie's car can go 32 miles on a gallon of gas, and gas currently costs 4 per gallon. How many miles can Margie drive on $20 wo
stiks02 [169]
Gallon of gas be x
4x=20
x=5
per gallon=32m
with 5 gallon=32*5=160
3 0
3 years ago
Determine whether each of the following are functions
Alja [10]

Answer:

xxc

Step-by-step explanation:

7 0
3 years ago
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