All categories

3 years ago

Derek wants to practice playing the guitar for 9 hours in 8 days. What is the

Mathematics

1 answer:

bonufazy [111]3 years ago

7 0

Answer:

1 hour and 7.5 minutes or 67.5 per day will help him reach his goal of 9 hours per 8 days.

Step-by-step explanation:

9 hours

- 8 days

________

8 hours

1 hour left

1 hour is 60 minutes and 60/8 is 7.5 so each day will have added to it 7.5 minutes wish makes the answer 1 hour and 7.5 minutes or 67.5 minutes.

You might be interested in

The problem is in the picture.

Semmy [17]

Answer:

an = 5 + 10(n -1)
a7 = 65

Step-by-step explanation:

The explicit formula for the n-th term of an arithmetic sequence is ...

an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...

an = 5 +10(n -1)

___

The 7th term is ...

a7 = 5 +10(7 -1) = 65

5 0

3 years ago

24 is 31.25% of what number? Prove your answer in the show your workbox.

FinnZ [79.3K]

Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

(100/x)*x=(31.25/24)*x - we multiply both sides of the equation by x

100=1.3020833333333*x - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

6 0

2 years ago

Read 2 more answers

Put these numbers in order from least to greatest 0.8 1/4 0.9 0.5

Elena L [17]

Least 0.5, 1/4, 0.8, 0.9 greatest

3 0

2 years ago

Read 2 more answers

Define a variable write an equation and solve the problem. the width of a rectangle is 3 meters more than one-fourth its length.

sweet [91]

Let's assume

length of rectangle is L

width of rectangle is W

the width of a rectangle is 3 meters more than one-fourth its length

so,

$W=3+\frac{1}{4} L$

the perimeter is 10 meters more than twice its length

we know that

perimeter =2(L+W)

so, we get

$2(L+W)=10+2L$

now, we can simplify it

$2L+2W=10+2L$

subtract both sides by 2L

$2L+2W-2L=10+2L-2L$

$2W=10$

$W=5$

now, we can find L

$5=3+\frac{1}{4} L$

subtract both sides 3

$5-3=3-3+\frac{1}{4} L$

$2=\frac{1}{4} L$

multiply both sides by 4

$4*2=4*\frac{1}{4} L$

$L=8$

so,

length of rectangle is 8 meter

width of rectangle is 5 meter ............Answer

4 0

3 years ago

(1 point) An insurance company offers its policyholders a number of different premium payment options. For a randomly selected p

Olegator [25]

Answer:

X | 1 3 5 7

f(X) | 0.4 0.2 0.2 0.2

b) $P(4$

Step-by-step explanation:

For this case we have defined the cumulative distribution function like this:

$F(X) = 0, x$

$F(X) = 0.4, 1 \leq x$

$F(X) = 0.6, 3 \leq x$

$F(X) = 0.8, 5 \leq x$

$F(X) = 1, x \geq 7$

And we know that the general definition for the distribution function is given by:

$F(x) = P(X \leq x) = \sum_{i\leq k} f(i)$

Where f represent the density function.

Part a

For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.

$f(1) = P(X=1) = P(X \leq 1) - P(X=0) = F(1) -F(0) = 0.4-0=0.4$

$f(2) = P(X=2) = P(X \leq 2) - P(X=0)- P(X=1) = F(2) -F(1) = 0.4-0.4=0$

$f(3) = P(X=3) = P(X \leq 3) - P(X=0)- P(X=1) -P(X=2) = F(3) -F(2) = 0.6-0.4=0.2$

$f(4) = P(X=4) = P(X \leq 4) - P(X=0)- P(X=1) -P(X=2)-P(X=3) = F(4) -F(3) = 0.6-0.6=0$

$f(5) = P(X=5) = P(X \leq 5) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4) = F(5) -F(4) = 0.8-0.6=0.2$

$f(6) = P(X=6) = P(X \leq 6) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5) = F(6) -F(5) = 0.8-0.8=0$

$f(7) = P(X=7) = P(X \leq 7) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5)-P(X=6) = F(7) -F(6) = 1-0.8=0.2$

And for any value higher than 7 we have that:

$x_i \in [8,9,10,...]$

$f(x_i) = F(X_i) -F(X_i -1) = 1-1=0$

So then we have our density function defined like this:

X | 1 3 5 7

f(X) | 0.4 0.2 0.2 0.2

Part b

For this case we want to find this probability $P(4$

And since the random variable is discrete we can write this like that:

$P(4$

5 0

2 years ago