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3 years ago

The length of a rectangle are represented by consecutive even integers. If the perimeter is 60, find the dimensions

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

7 0

Answer:

Length = 24 and width = 6.

Step-by-step explanation:

2L + 2W = 60 where L = length and W = width.

The length must be in the 20's to make a perimeter of 60, as there's no number in the 10's or 30's that has 2 consecutive even integers and 40 something is impossible.

The only length which fits the given conditions is 24.

Then the width would be (60 - 2(24)) / 2 = (60 - 48) / 2

= 6.

That's the answer.

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A seasonal index for a monthly series is about to be calculated on the basis of three years’ accumulation of data. The three pre

yarga [219]

Answer:

0.684

Step-by-step explanation:

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

Seasonal index = Average value for July ÷ Average over all months

Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3

= 390 ÷ 3 = 130

And, average over all months = 190

So by putting the value in the formula, we get

Seasonal index = 130 ÷ 190

= 0.684211 or 0.684

Hence, approximate seasonal index for July is 0.684.

6 0

3 years ago

all shoes are 1/7 off of the original price. how much would a pair of shoes cost that were originally $35.00

yanalaym [24]

Answer:

35 diveded by 7=5 so 35 minus 5 = 30 so the shoes are 30.00

Step-by-step explanation:

4 0

2 years ago

A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco

sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

Let p = proportion of all cars in San Francisco who are blue

SO, Null Hypothesis, $H_0$ : p = 25% {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is One-sample z proportion statistics;

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

where, $\hat p$ = sample proportion of 600 cars in San Francisco who are blue = $\frac{141}{600}$ = 0.235

n = sample of cars = 600

So, test statistics = $\frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }$

= -0.866

Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

4 0

3 years ago

The circumference of one of the smaller circles is 12pie cm. Find the circumference of the larger circle.. . A. 12pie cm. B. 24p

Temka [501]

There exists a similar question that would lead to the relationship of the given circumference to the unknown value. The radius of the larger circle is 12 cm. The formula for determining the circumference is,
C = 2πr
Substituting the known value,
C = 2π x 12 cm = 24π cm
Thus, the answer is letter B.

4 0

3 years ago

How do I find the missing sides?

andreyandreev [35.5K]

You use sine, cosine, or tan

8 0

2 years ago