How do you write a rule for 2, 10, 5, 250? Order of operations?

Help! Central Angles and arc measures

enot [183]

Answer:

x = 11

Step-by-step explanation:

The sum of arcs of a semicircle is 180°. That fact can be used with the given angle relations to find the value of x.

<h3>Setup</h3>

The measure of an arc is the same as the measure of the central angle it subtends.

DC +CG +GF = 180

The angle bisector CH ensures that angles CHD and CHG are congruent. That means arcs CD and CG are congruent, and we have ...

DC +DC +GF = 180 . . . . . . . . . use DC for CG

2(7x -1) +(2x +6) = 180 . . . . . . . use the given expressions

<h3>Solution</h3>

This equation can be solved for x.

16x +4 = 180 . . . . . . . . . . . . simplify

16x = 176 . . . . . . . . . . . . subtract 4

x = 11 . . . . . . . . . . . . . divide by 16

6 0

2 years ago

Write the linear inequality shown in the graph.

taurus [48]

Answer:

y ≤ (4 - 3x)

Step-by-step explanation:

We have to find the equation of the line which divides the coordinate plane into two different zones.

The line passes through the points (0,4) and (1,1) which is shown on the graph.

So, the equation of the straight line will be

$\frac{y-4}{4-1} =\frac{x-0}{0-1}$

⇒ $\frac{y}{3} - \frac{4}{3} =-x$

⇒ y - 4 = -3x

⇒ y = 4 - 3x

Now, the dotted zone shows that y values are equal or less than the value obtained from (4 - 3x).

Therefore, the required inequality is y ≤ (4 - 3x) (Answer)

7 0

3 years ago

Read 2 more answers

"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r

sergiy2304 [10]

Answer:

(a) Null Hypothesis, $H_0$ : $p_1-p_2=0$ or $p_1= p_2$

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq 0$ or $p_1\neq p_2$

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

Let $p_1$ = proportion of drivers that were in compliance initially

$p_2$ = proportion of drivers that were in compliance one year later

(a) Null Hypothesis, $H_0$ : $p_1-p_2=0$ or $p_1= p_2$ {means that there is not any statistical difference in these two proportions measured initially and then one year later}

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq 0$ or $p_1\neq p_2$ {means that there is a statistical difference in these two proportions measured initially and then one year later}

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

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{ \frac{\hat p_1(1-\hat p_1)}{n_1} + \frac{\hat p_2(1-\hat p_2)}{n_2}} }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of drivers in compliance initially = 98.9%

$\hat p_2$ = sample proportion of drivers in compliance one year later = 96.9%

$n_1$ = sample of drivers initially = 1,250

$n_2$ = sample of drivers one year later = 1,100

(b) So, the test statistics = $\frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }$

= 3.33

Now, P-value of the test statistics is given by;

P-value = P(Z > 3.33) = 1 - P(Z $\leq$ 3.33)

= 1 - 0.99957 = 0.00043

Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

Since our test statistics does not lies within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0

3 years ago

How can i factor this? x^(2n)-2x^(n)+1

Tasya [4]

You can make it easier by replacing x^n with another variable, factoring, then putting x^n back in the end.

Using exponent and algebra rules, rewrite x^2n - 2x^n + 1 as
(x^n)^2 - (2 x x^2) + 1

Then, let x^n = m.

m^2 - 2m + 1

Now factor that: (m - 1)^2

And now put x^n back: (x^n - 1)^2

7 0

3 years ago

if it takes anne 1/2 hour to read 2/3 of a chapter. About how long will it take her to read a chapter?

kolbaska11 [484]

Answer:

45 minutes

Step-by-step explanation:

1/2 hour=30 minutes

2/3 of chapter=30 minutes

1/4 of hour=15 minutes

1/3 of chapter=15 minutes

3/4 of hour=45 minutes

3/3 of chapter=45 minutes

6 0

3 years ago