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3 years ago

????????????????????last one loll

Mathematics

2 answers:

Shtirlitz [24]3 years ago

7 0

Start by 10 its gonne equal88

loris [4]3 years ago

4 0

Answer: Hope this helped you!

Step-by-step explanation:

If you start of will 10 and you eat 6 you ate 6/10 which is equal 60%

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Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

8 0

4 years ago

Kwasi has earned $60 in babysitting money. He spends 40% of this money buying drinks for himself and two friends at Starbucks. H

mart [117]

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned $\$60$ in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

$\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36$

So, Kwasi has enough money left to buy a skateboard.

3 0

3 years ago

The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 16. A random sampl

Kazeer [188]

Answer:

The 90% confidence interval is (64.0101, 68.9899).

Step-by-step explanation:

Our sample size is 310.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 310-1 = 309$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.90}{2} = \frac{0.10}{2} = 0.05$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 309 and 0.05 in the two-sided t-distribution table, we have $T = 1.65$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{16}{\sqrt{310}} = 1.2060$

Now, we multiply T and s

$M = 1.65*1.2060 = 1.9899$

Then

LCL is the mean subtracted by M. So:

$LCL = 66 - 1.9899 = 64.0101$

UCL is the mean added to M. So:

$LCL = 66 + 1.9899 = 68.9899$

The 90% confidence interval is (64.0101, 68.9899).

6 0

3 years ago

In right triangle ΔABC, ∠C is a right angle, AC = 20 and m∠A = 41º. Find AB to the nearest tenth.

kykrilka [37]

Answer:

AB = 26.5º

Step-by-step explanation:

cosA = adj/hyp

cosA = AC/AB

cos41 = 20/AB

Multiply both sides by AB

AB * cos41 = 20

Divide both sides by cos41

AB = 20/cos41

AB = 26.5º

4 0

3 years ago

Read 2 more answers

Prove that congruent triangles have congruent corresponding angle bisectors.

worty [1.4K]

When two triangles are congruent, everything in them is congruent (same). So, the angle bisector of one triangle is congruent to the corresponding angle bisector of the other triangle.

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3 years ago