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3 years ago

In my pocket I have 8 quarters and 6 dimes. What fractional portion of the coins in my pocket are dimes

Mathematics

2 answers:

marin [14]3 years ago

7 0

im pretty sure the answer is 3/4

vladimir1956 [14]3 years ago

3 0

6/14 = 3/7 14 is the total amount (8+6)

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In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.2 minutes. A 95

Elina [12.6K]

Answer: Margin of error = 6.58

Confidence interval = (26.91, 40.08)

Step-by-step explanation:

Since we have given that

Sample size n = 8

Sample mean = 33.5 minutes

Population standard deviation = 9.5 minutes

At 95% confidence interval,

α = 0.05

t = 1.96

So, Margin of error is given by

$t\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{9.5}{\sqrt{8}}\\\\=6.58$

Confidence interval would be

Lower limit:

$\bar{x}-6.58\\\\=33.5-6.58\\\\=26.91$

Upper limit:

$\bar{x}+6.58\\\\=33.5+6.58\\\\=40.08$

Hence, the interval would be (26.91, 40.08)

But at standard deviation 7.2 minutes, the confidence interval was (27.5, 39.5)

Confidence interval using the standard normal distribution is wider than the confidence interval using t distribution.

3 0

3 years ago

Mercury is the closest planet to the sun at a distance of 36 million miles. The closest star to the sun is Proxima Centauri, whi

borishaifa [10]

Answer:

Proxima Centauri is 2.478 x 10¹³ miles from Sun.

Explanation:

Distance of Proxima Centauri to sun = 4.24 light years

1 light year = 5.9 x 10¹² miles.

Distance of Proxima Centauri to sun in miles = Distance in light years x 5.9 x 10¹² miles

So, Distance of Proxima Centauri to sun in miles = 4.2 x 5.9 x 10¹² miles

= 2.478 x 10¹³ miles

So Proxima Centauri is 2.478 x 10¹³ miles from Sun.

7 0

3 years ago

Nathalie has one large bowl of popcorn. She invite 3 friends over to watch a movie. Her brother takes 1/5 of the popcorn for him

OLEGan [10]

Answer:

Each friend gets $\frac{1}{5}$ of the popcorns.

Step-by-step explanation:

Nathalie's brother takes 1/5 of the popcorn for himself.

so there is ( 1 - 1/5)

= 4/5 of the popcorns left in the bowl

including Nathalie and her 3 friends, there are (3 + 1) = 4 persons.

So, each friend gets

$\frac(4}{4 \times 5}$

= $\frac{1}{5}$

of the popcorns

8 0

3 years ago

Read 2 more answers

a rabbit population doubles every 4 weeks. if t represents the time, in weeks, and p(t) is the population of rabbits with respec

grin007 [14]

First You need to know how many current population of the rabbits then multiply that number 2. 98 days is 14 weeks

5 0

3 years ago

The circumference of a circular stage is 157 feet. If Chris paints the stage at a rate of 400 square feet per hour, how long wou

Korolek [52]

We need the circumference and area of the circle equations:
c = 2*pi*r
a = pi*r^2
lets find the radius from the first equation:
r = c/2*pi
r = 157/(2*3.14)
r = 24.99 ft
now lets calculate the area:
a = pi*r^2
a = 3.14*(24.99)^2
a = 1960.93 ft^2
Now we need to divide the total area by the rate at which Chris paints, and that gives us the time needed:
time = <span>1960.93/400
time = 4.9 hours
that would be 5 hours rounded to the nearest hour</span>

8 0

3 years ago