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2 years ago

Numbers AMBER 1 Explain how we know V30 lies between 5 and 6.

Mathematics

1 answer:

Anastasy [175]2 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

5² = 25 and 6² = 36

( $\sqrt{30}$ )² = 30

Then

25 < 30 < 36

Thus $\sqrt{30}$ lies between 5 and 6

You might be interested in

Solve for the variable: 12.9 = x + 7.1 5.8 -5.8 20 -20

olya-2409 [2.1K]

12.9 = x + 7.1
subtract 7.1 from both sides to isolate the variable, x.

5.8 = x

5.8 is your answer.

3 0

3 years ago

Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif

dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

Step:-1

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals $t_{0.01} =2.82$ (from tabulated value).

$The mean value = 0.0365$

$x±t_{0.01} \frac{S}{\sqrt{n-1} }$

$0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }$

$0.0365±2.82 \frac{0.0046}{\sqrt{22} }$

$0.0365±2.82 \frac{0.0046}{4.690 }$

using calculator

$0.0365±0.00276$

Confidence interval is

$(0.0365-0.00276,0.0365+0.00276)$

$(0.0338,0.0392)$

the mean value is lies between in this confidence interval

(0.0338,0.0392).

Answer:-

using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.

4 0

3 years ago

Int he figure below find AC

Ahat [919]

Given :-

Two triangles with their two angles equal .

To Find :-

Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

$\angle$ CAB = $\angle$ CED (given )
$\angle$ CBA = $\angle$ CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.

7 0

2 years ago

Find the value of (-4)(6)(-7) -178 168 178 -168

kakasveta [241]

Answer:

168

Explanation:

Before we begin, remember the following:

+ve * +ve = +ve -ve * -ve = +ve

+ve * -ve = -ve -ve * +ve = +ve

Now, for the given problem we have:

(-4) * (6) * (-7)

Let's take the first two terms:

(-4) * (6)

Based on the above rules, the product will be negative

Therefore,

(-4) * (6) = -24

Now, the expression became:

(-24) * (-7)

Again, based on the above rule, the product here will be positive

Therefore,

(-24) * (-7) = 168

Hope this helps :)

4 0

3 years ago

Read 2 more answers

In each of the following word problems, the question is missing. Write a possible question for each word problem.

garik1379 [7]

The question that can complete the given word problem is, The material comes in pieces of 5 years each. How many pieces of materials are needed to make a coat?

<h3>What question can be formed?</h3><h3 />

You are given the number of yards that are needed to make a coat so the question should be centered around that.

Questions that go best with such information are those that have to do with solving for the number of materials that would be needed to make the coat.

You can therefore supply the length of each piece of material, and then find out how many materials would then be needed to make a coat.

Find out more on formulating questions at brainly.com/question/11876376.

#SPJ1

4 0

2 years ago