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LuckyWell [14K]
3 years ago
14

A radio station will announce the winner of a contest when 3,200 callers have phoned the station. At 3:00 p.m. 400 callers were

counted. At 4:00 p.m. 650 calls had been recorded. By 5:00 p.m. 950 calls had come into the station, and by 6:00 p.m. 1,300 calls had been counted. If the pattern continues, when will the radio station announce a winner?
Mathematics
1 answer:
arsen [322]3 years ago
5 0
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Find the radius and diameter of a circular puddle whose
o-na [289]

Answer:

r = 35cm

Step-by-step explanation:

Given

C = 220cm

\pi = \frac{22}{7}

Required

Determine the radius

Circumference (C) is calculated as:

C = 2\pi r

Where r represents radius

Substitute values for C and \pi

220cm = 2 * \frac{22}{7} * r

220cm =  \frac{44}{7} * r

Multiply through by 7/44

\frac{7}{44} * 220cm =  \frac{7}{44} * \frac{44}{7} * r

r = \frac{7}{44} * 220cm =

r = \frac{7 * 220cm }{44} =

r = \frac{1540\ cm}{44}

r = 35cm

<em>Hence, the radius is 35cm</em>

6 0
3 years ago
Use the following information to determine your answer: The length of a movie falls on a normal distribution. About 95% of movie
Elenna [48]

Answer:

75= 119 -1.96 \sigma

\sigma = \frac{75-119}{-1.96}= 22.45

And tha's equivalent to use this formula:

163= 119 +1.96 \sigma

\sigma = \frac{163-119}{1.96}= 22.45

Step-by-step explanation:

For this case the 95%of the values are between the following two values:

(75 , 163)

And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

X \sim N( \mu, \sigma)

We can estimate the true mean with the following formula:

\mu = \frac{75+163}{2}= 119

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:

75= 119 -1.96 \sigma

\sigma = \frac{75-119}{-1.96}= 22.45

And tha's equivalent to use this formula:

163= 119 +1.96 \sigma

\sigma = \frac{163-119}{1.96}= 22.45

4 0
3 years ago
What is the value of X in the figure<br> X=...
Brrunno [24]
34 since it is a right angle it is equal to 90
8 0
3 years ago
Read 2 more answers
A beaded necklace is 2.5 feet long. Each bead is .25 inches wide &amp; each pair of beads is separated by 1.25 inches of chain.
adelina 88 [10]

Answer:

There are <u>20 beads</u> on the necklace.

Step-by-step explanation:

Given:

A beaded necklace is 2.5 feet long. Each bead is .25 inches wide & each pair of beads is separated by 1.25 inches of chain.

Now, to find the number of beads on the necklace.

The length of necklace = 2.5 feet.

So, we convert feet into inches by using conversion factor:

<em>1 foot = 12 inches.</em>

<em>2.5 feet = 12 × 2.5 inches.</em>

<em>2.5 feet = 30 inches.</em>

<u>Thus, the length of necklace is 30 inches.</u>

Let the number of beads be x.

The width of each bead = 0.25 inches.

The each pair of beads is separated by 1.25 inches.

Now, we put an equation to get the number of beads:

(0.25+1.25)x=30

0.25x+1.25x=30

1.50x=30

<em>Dividing both sides by 1.50 we get:</em>

x=20.

<u><em>The number of beads = 20.</em></u>

Therefore, there are 20 beads on the necklace.

6 0
3 years ago
There are 4 lunch choices in a school cafeteria: Salad, Pizza, Spaghetti, and Sub Sandwiches. The percentage of students that ch
Elina [12.6K]
I think it would be 300, because 15% of x=45, so .15x=45, x= 45/.15=300
8 0
3 years ago
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