Can someone answer this please. Trolls will be reported

Which point on the number line best represents the approximate value of 38? A B C D 5 6 7 А B С Dor

Natasha2012 [34]

B. When you find the root of 38, you will get 6.164. So that eliminates A and D. Then when you look closer, you will see that C looks closer to 6.4 or even 6.5 than 6.164, which leave you with B being the answer.

8 0

3 years ago

1. Suppose you have just received a shipment of 100 iPads where 7 iPads are defective. To determine whether or not you will acce

Lyrx [107]

Answer:

$p(x\geq 1)=0.1975$

Step-by-step explanation:

the probability that x iPads are defective in the sample follows a hypergeometric distribution, so it is calculated as:

$p(x)=\frac{kCx*((N-k)C(n-x))}{NCn}$

Where $aCb=\frac{a!}{b!(a-b)!}$

Because we have a N elements with k elements that are defective and we are going to take a sample of n elements. So, replacing N by 100, k by 7 and n by 3, we get:

$p(x)=\frac{7Cx*((100-7)C(3-x))}{100C3}$

Now, the probability of rejecting the shipment is the probability that at least one iPad of the sample is defective, so:

$p(x\geq 1)=p(1)+p(2)+p(3)$

Then:

$p(1)=\frac{7C1*((100-7)C(3-1))}{100C3}=0.1852\\p(2)=\frac{7C2*((100-7)C(3-2))}{100C3}=0.0121\\p(3)=\frac{7C3*((100-7)C(3-3))}{100C3}=0.0002$

Finally, the probability of rejecting the shipment is:

$p(x\geq 1)=0.1852+0.0121+0.0002=0.1975$

3 0

4 years ago

Match each equation to an equivalent equation written in slope-intercept form.

choli [55]

Answer:

In order down the left side, ...

y = 1/3x +2
y = 1/2x +3
y = 2x +6
y = -2x +3

Step-by-step explanation:

To put a linear equation in slope-intercept form, you solve for y, then simplify.

x -3y = -6

Subtract x and divide by -3:

y = 1/3x +2

__

2y -6 = x

Add 6 and divide by 2:

y = 1/2x +3

__

-x +(1/2)y = 3

Add x and multiply by 2:

y = 2x +6

__

2x +y = 3

Subtract 2x:

y = -2x +3

_____

Comment on the algebra

Note that when we say add, subtract, multiply, or divide by something or other, we mean to do that to both sides of the equation. That is required by the properties of equality.

If you remember the rule: do the same thing to both sides of the equation, then algebra suddenly becomes much easier.

5 0

3 years ago

Chris can be paid in one of two ways. Plan A is a salary of $350 per month, plus a commission of 7% of a sales. pLan B is a sala

Lapatulllka [165]

Let's say, the total sales is "x"... .so hmm on Plan A, he gets 350 plus 7% of "x", well, 7% is just (7/100) * x or 0.07x

now, on Plan B, he gets 436 plus 5% of "x", 5% of "x" is (5/100) * x, or 0.05x

he's better off with A, only if A is greater than B, namely, A > B

$\bf A\ \textgreater \ B\implies 350+0.07x\ \textgreater \ 436+0.05x
\\\\\\
0.07x-0.05x\ \textgreater \ 436-350\implies 0.02x\ \textgreater \ 86\implies x\ \textgreater \ \cfrac{86}{0.02}$

and surely you know how much that is.

3 0

4 years ago

Explain why the expression 7•3x is not equal to the expression 21x

Firdavs [7]

Working out the expression 7(3ˣ) is first to calculate the value of 3ˣ then multiply the answer to 7.

For example, let x = 2
Then 7(3ˣ) = 7(3²) = 7 × 9 = 63

With the same value of x = 2, calculating 21ˣ = 21² = 441, which isn't the same answer with the expression 7(3ˣ)

5 0

4 years ago