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alexgriva [62]
3 years ago
11

Solve 2a − 5d = 30 for d

Mathematics
2 answers:
vekshin13 years ago
7 0
2a₋5d=30

⇒2a-30 = 5d

⇒d = (2a-30)÷5
valina [46]3 years ago
6 0
2a - 5d = 30\\
5d=2a-30\\
d=\dfrac{2a-30}{5}
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A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th
aksik [14]

Answer:

At least 547 records need to be studied.

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 interval 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}.

And the margin of error is:

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

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

In this problem, we have that:

M = 0.04, p = 0.35

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

0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.04\sqrt{n} = 0.93486

\sqrt{n} = 23.37

n = 546.2275

At least 547 records need to be studied.

6 0
3 years ago
An 18 pound turkey cooks for 4.5 hours. How long will it take for a 12 pound turkey to cook?
OverLord2011 [107]

Answer:

3 hours

Step-by-step explanation:

We can solve using ratios

18 lbs            12 lbs

------------ = --------------

4.5 hrs          x hours

Using cross products

18x = 12 * 4.5

18x = 54

Divide by 18

18x/18 = 54/18

x=3

6 0
3 years ago
Read 2 more answers
Graph each absolute value function. State the domain, range, and y-intercept.
grandymaker [24]

Answer:

i) D: All real numbers

ii) R: y\le5

iii) Y-int: b=2

Step-by-step explanation:

i) The given absolute value function is

y=-|x+3|+5

The domain is all values of x that makes the function defined.

The absolute value function is defined for all values of x.

The domain is all real numbers.

ii) The given function is y=-|x+3|+5

The function has vertex (-3,5).

The function is reflected in the x-axis.

This means the vertex is the maximum point on the graph of the function.

The maximum y-value is 5.

The range is therefore y\le 5 or (-\infty,5]

iii) To find the y-intercept, put x=0 into the function.

y=-|0+3|+5

y=-|3|+5

y=-3+5

y=2

The y-intercept is (0,2) or b=2

See attachment for graph.

6 0
3 years ago
Find the surface area of the regular pyramid.<br><br><br><br><br> mm2 help meeeee pls
Eduardwww [97]
\bold{ANSWER:}
1240.4 mm^2

\bold{SOLUTION:}

7 0
2 years ago
54×12 estimated <br><br><br>PLEASE HELP I'LL MARK YOU AS BRAINLIEST
DaniilM [7]

about 500

54 is about equal to 50 and 12 is about equal to 10, 50*10 = 500

6 0
3 years ago
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