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Nata [24]
4 years ago
5

One teacher wants to give each student 6/7 of a slice of pizza .if the teacher has 6 slices of pizza , then how many students wi

ll she be able to hand out pizza to ?
Mathematics
1 answer:
jek_recluse [69]4 years ago
7 0

Answer:

Step-by-step explanation:

6 / (6/7) =

6 * 7/6 =

42/6 =

7 <=== 7 students can get some

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The 4th and 8th term of a G.P. are 24 and 8/27 respectively. find the 1st term and common ratio
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁r^{3} = 24 → (1)

Given a₈ = \frac{8}{27}, then

a₁r^{7} = \frac{8}{27} → (2)

Divide (2) by (1)

r^{4} = \frac{\frac{8}{27} }{24} = \frac{1}{81}

Hence r = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}

Substitute this value into (1)

a₁ × (\frac{1}{3} )³ = 24

a₁ × \frac{1}{27} = 24, hence

a₁ = 24 × 27 = 648

4 0
4 years ago
A survey about phone service has a margin of error of 5%. Out of 150 people surveyed, 103 said that they were pleased with their
lapo4ka [179]

Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

8 0
3 years ago
An arc on a circle measures 295°. The measure of the central angle, in radians, is within which range? 0 to StartFraction pi Ove
ozzi

Answer:

D

Step-by-step explanation:

took the test

8 0
3 years ago
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Mr Day has 113 frog stickers. He wants to give 10 frog stickers to each student. How many students will get 10 stickers? will th
Kazeer [188]
11 student will get 10  stickers and 3 will be <span>left over.</span>
5 0
3 years ago
Read 2 more answers
Directions: The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. E
emmainna [20.7K]

The experiment is the development of a new soft drink

  • A possible outcome is "Prefer this new drink"
  • A possible event is "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"
  • A new survey is about children vaccination

<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

<h3>A possible outcome</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one outcome could be "Prefer this new drink"

<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"

<h3>A new survey</h3>

Using the question as a guide, a survey could be:

<em>In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.</em>

Here, we have:

  • Experiment: Children vaccination
  • Outcome: Outcome that a parent supports parent should have their children vaccinated
  • Event: Event that 5 of 10 individuals think that the government should require parents to have their children vaccinated

<h3>Importance of probability</h3>

Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions

Read more about probability at

brainly.com/question/251701

#SPJ1

5 0
2 years ago
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