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vaieri [72.5K]
3 years ago
15

The sum of three consecutive odd numbers is 63 what is the smallest of these numbers

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0
19, 21, 23 are the consecutive odd numbers.

I did this by thinking that 63 divided by 3 is 20. Then I went to 21, and added it to 23, I got 44, so then I added 19 and got 63. (Adding 25 didn't help so I tried 19)
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Answer:

15.71m

Step-by-step explanation:

circumference of a circle = 2πr

where r = 2.5m

where π = 3.142

we have,

2*3.142*2.5 = 15.71m

therefore the circumference of a circle with a radius 2.5m = 15.71 m

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Hello! Guys, I urgently need your help on place value above 100000
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Harper knows he is 50 yards from school. The map on his phone shows that the school is 3/4 inch from his current location. How f
yulyashka [42]

Answer:

Harper is 200 yards away from her home if the map shows 3 inches

Step-by-step explanation:

50 yards = 3/4 inch

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6 0
2 years ago
Olivia has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 7.5 points for each
andrezito [222]

Answer:

0 visits

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According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

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80 + (2.5 × X) = 105

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Step-by-step explanation:

7 0
2 years ago
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It's all politics: A politician in a close election race claims that 52% of the voters support him. A poll is taken in which 200
riadik2000 [5.3K]

Answer:

a) P(x ≤ 0.44) = 0.02275

b) The probability of obtaining a sample proportion less than or equal to 0.44 is very low (2.275%), hence, it would be unusual to obtain a sample proportion less than or equal to 0.44.

c) P(x ≤ 0.50) = 0.30854

A probability of 30.854% doesn't scream unusual, but it is still not a very high probability. So, it is still slightly unusual to obtain a sample proportion of less than half of the voters that don't support the politician.

Step-by-step explanation:

Given,

p = population proportion that support the politician = 0.52

n = sample size = 200

(np = 104) and [np(1-p) = 49.92] are both greater than 10, So, we can treat this problem like a normal distribution problem.

This is a normal distribution problem with

Mean = μ = 0.52

Standard deviation of the sample proportion in the distribution of sample means = σ = √[p(1-p)/n]

σ = √[0.52×0.48)/200]

σ = 0.035 ≈ 0.04

a) Probability of obtaining a sample proportion that is less than or equal to 0.44. P(x ≤ 0.44)

We first normalize/standardize/obtain z-scores for a sample proportion of 0.44

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (0.44 - 0.52)/0.04 = -2.00

To determine the probability of obtaining a sample proportion that is less than or equal to 0.44.

P(x ≤ 0.44) = P(z ≤ -2)

We'll use data from the normal probability table for these probabilities

P(x ≤ 0.44) = P(z ≤ -2) = 0.02275

b) Would it be unusual to obtain a sample proportion less than or equal to 0.44 if the politician's claim is true?

The probability of obtaining a sample proportion less than or equal to 0.44 is 0.02275; that is, 2.275%.

The probability of this occurring is very low, hence, it would be unusual to obtain a sample proportion less than or equal to 0.44.

c) If the claim is true, would it be unusual for less than half of the voters in the sample to support the politician?

Sample proportion that matches half of the voters = 0.50

P(x < 0.50)

We follow the same pattern as in (a)

We first normalize/standardize/obtain z-scores for a sample proportion of 0.50

z = (x - μ)/σ = (0.50 - 0.52)/0.04 = -0.50

To determine the probability of obtaining a sample proportion that is less than 0.50

P(x < 0.50) = P(z < -0.50)

We'll use data from the normal probability table for these probabilities

P(x < 0.50) = P(z < -0.50) = 1 - P(z ≥ -0.50) = 1 - P(z ≤ 0.50) = 1 - 0.69146 = 0.30854

Probability of obtaining a sample proportion of less than half of the voters that support the politician = 0.30854 = 30.854%

This value is still not very high, it would still he unusual to obtain such a sample proportion that don't support the politician, but it isn't as unusual as that calculated in (a) and (b) above.

Hope this Helps!!!

3 0
3 years ago
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