12x + 24 - 13 = 83 what does x equal

Mathematics

2 answers:

Oxana [17]3 years ago

7 0

12x+11=83
12x=83-11
12x=72
x=6

Akimi4 [234]3 years ago

5 0

12x=83+13-24=72==> x=72/12=6.

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A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the dri

vekshin1

Answer:

The margin of error for a 90% confidence interval is 0.075.

Step-by-step explanation:

We are given that he asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not.

Of the 100 people who phoned in, 70 answered "yes."

Let $\hat p$ = sample proportion of people who say yes

So, $\hat p=\frac{X}{n}$ = $\frac{70}{100}$ = 0.70

where, X = Number of people who say yes = 70

n = Number of people phoned in = 100

Now, Margin of error formula for any confidence interval is given by;

Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \text{Standard of Error}$

where, $\alpha$ = level of significance = 10%

Standard of error = $\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Also, the critical value of x at 5% ( $\frac{\alpha}{2} =\frac{0.10}{2}$ ) level of significance is 1.645.

SO, Margin of Error = $1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

= $1.645 \times \sqrt{\frac{0.70(1-0.70)}{100} }$

= 0.075

Hence, the margin of error for a 90% confidence interval is 0.075.

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3 years ago

how do you indicate congruent segments in a diagram? how do you indicate congruent angles in a diagram?

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Answer:

segments: using the same number of hash marks
angles: using the same number of arcs, or hash marks on an arc

Step-by-step explanation:

The attached diagram shows that segments AC and BD are congruent by using a single hash mark on each of those segments. If other segments are congruent, but not congruent to these two, the "decoration" would be different, probably two hash marks. Segments marked with the same "decoration" are intended to be understood as congruent.

The "decoration" used for congruent angles is an arc of some kind. Here, a single arc is used to signify angle CAB is congruent to angle DBA. Additional arcs could be used for other congruent angles, or hash marks can be put on the arcs.