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densk [106]
2 years ago
6

A trip to Portland, Oregon, from Boston will take 7 3/4 hours. Assuming we are two-thirds of the way there, how much longer in h

ours will the trip take?
Mathematics
1 answer:
schepotkina [342]2 years ago
8 0
First turn 7 hours and 3/4 hours into a decimal number.  This will help when doing equations (the work).

This means finding the decimal value of 3/4.  3 divided by four is .75, which means that's the decimal value.  Now add 7.

The full decimal number is 7.75 hours.

Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.  

What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.  

One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.

Since the unit is hours, 2.58 represents 2.58 hours.

Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.

Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.

I hope this helped!




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Alaskan Salmon are fished extensively to serve in restaurants. However, there are limits to how many and the size of fish which
TEA [102]

Answer:

The salmon size is less than equal to 10.28 inches represent bottom 25% of all salmon.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.5 inches

Standard Deviation, σ = 3.3

We are given that the distribution of salmon size is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.25

P( X < x) = P( z < \displaystyle\frac{x - 12.5}{3.3})=0.25  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 12.5}{3.3} = -0.674\\\\x = 10.2758\approx 10.28  

Thus, the salmon size is equal to or less than 10.28 inches, they are considered small and young and represent bottom 25% of all salmon.

4 0
2 years ago
What three different equations that have x = 5 as a solution
Mars2501 [29]
5x=25 could be one.
25/x-3=2 is another.
And the last one could be x/85+7=24
5 0
2 years ago
Read 2 more answers
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1
BigorU [14]

Answer:

a:  Sample mean: 20, Sample standard deviation: 1.732

b:  19.13 <µ < 20.87

c:  18.84< µ < 21.16

d:  as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a:  Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval

3 0
2 years ago
The owner of a toy store received a shipment of 1552 party favors came in 28 boxes the same number of party favors were in 27 of
klemol [59]

Answer : (13)

Let x be the number of party favors in each (27 boxes)

Let y be the number of favors in last box

Given : total of party favors = 1552

27 boxes + last box = 1552

27x + y = 1552

We divide 1552 by 27, the quotient will be our x and the remainder will be y(number of party favors in last box)

Use long division

= 57 and remainder is 13

the number of party favors in each of (27 boxes) = 57

the number of party favors in last box = 13

So, there are 13 party favors in last box.

Read more on Brainly.com - brainly.com/question/9624402#readmore

3 0
2 years ago
6x6x6x6x6x6x6=6x whats the value of x
Oksi-84 [34.3K]

Answer: 46656

Step-by-step explanation: there are 7 x’s on the left side of the equation, and one on the right. The one on the right side is multiplied to a variable, x. Divide both sides by 6, you get 6 6 times on the left side. Multiply and you get 46656

4 0
1 year ago
Read 2 more answers
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