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2 years ago

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Which equation represents this sentence? 1/3 times the difference of a number and 4 is 1/6. 1/3x−4=16 1/3(x−4)=1/6 4−1/3x=1/6 1/

3(4−x)=1/6

1 answer:

pychu [463]2 years ago

8 0

Answer:

(1/3)(n - 4) = 1/6

Step-by-step explanation:

Let the number be n. Then the given phrase can be written symbolically as (1/3)(n - 4) = 1/6. This is the second answer choice.

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I need help asap 9.52 divided by 4

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Answer:

2.38

Step-by-step explanation:

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3 years ago

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Find the confidence interval with a 90% level of confidence. In October 2010, Gallup Poll asked 510 randomly sampled adults the

ratelena [41]

Answer:

90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

Step-by-step explanation:

We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"

Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.

Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion who answered death penalty "fair" = 58%

n = sample of adults = 510

p = population percentage

<em>Here for constructing 90% confidence interval we have used One-sample z test for proportions.</em>

<u>So, 90% confidence interval for the population percentage, p is ;</u>

P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level

of significance are -1.645 & 1.645}

P(-1.645 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.645) = 0.90

P( $-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\hat p-p$ < $1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

P( $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

<u>90% confidence interval for p</u> = [ $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.58-1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } }$ , $0.58+1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } }$ ]

= [0.544 , 0.616]

Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

6 0

3 years ago

aleksklad [387]

Using proportions, it is found that the total volume of the glass is of 216 cm³.

<h3>What is the missing information?</h3>

The problem is incomplete, but researching it on a search engine, it is found that:

Initially, the glass is 1/3 full.

After adding 63 cm³ of orange of juice, the glass is 5/8 full.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering the volume of the glass as x, and the information given in the problem, the following equation can be built:

$\frac{x}{3} + 63 = \frac{5x}{8}$

We solve for x to find the volume of the glass as follows:

$\frac{5x}{8} - \frac{x}{3} = 63$

$\frac{15x - 8x}{24} = 63$

Then, applying cross multiplication:

7x = 24 x 63

Simplifying by 7:

x = 24 x 9

x = 216 cm³.

The total volume of the glass is of 216 cm³.

More can be learned about proportions at brainly.com/question/24372153

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1 year ago

Jim bought 20 rosebushes last week. the regular price is $5.00 per bush, but last week they were on sale at 2 for $8.50. how muc

lorasvet [3.4K]

He saved $1.50 by buying them on discount

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3 years ago

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What property justify <br>if <1 = <2 and <2 = <3 then <1 = <3

krek1111 [17]

Answer:

That will be the Transitive Property

Step-by-step explanation:

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2 years ago