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2 years ago

Simplify using the order of operations. 9−4 ·5+6

Mathematics

2 answers:

maks197457 [2]2 years ago

5 0

$9 - 4 \times 5 + 6$

$9 - 20 + 6$

$- 11 + 6$

$- 5$

Aleksandr-060686 [28]2 years ago

3 0

we know that the multiplication comes first in the family then we start from left to right

4 x 5= 20

9-20 = -11

-11 + 6 = -5

there you go!

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line segment eg is partitioned by point f in the ratio 1:1. point e is at e (0, 4), and point f is at (1, 3). what are the coord

damaskus [11]

The coordinates of G (x₂ , y₂) for line segment EG = (2,2).

As given:

Line segment EG

Partitioned point of line segment is F

Coordinates of F (x ,y)=(1,3) and E (x₁ ,y₁)=(0,4)

Let coordinate of G (x₂ , y₂)

Ratio m:n =1:1

(x ,y) ={ ( mx₂ +nx₁ )/ (m +n) , ( my₂ +n y₁ )/ (m +n)

⇒(1,3) = {(1x₂ +1(0) )/2 , 1y₂ +1(4) /2}

⇒x₂ =2, y₂ =2

Therefore, the coordinates of G (x₂ , y₂) for the given line segment is equal to (2,2).

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2 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Korolek [52]

Answer:

A sample of 499 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this question, we have that:

$\pi = 0.21$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03

We need a sample of n, which is found when $M = 0.03$ . So