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3 years ago

10

The expression in the figure below represent the measures of two angle.Find the value of x . f || g . The diagram is not to scal

e.

1 answer:

Andrej [43]3 years ago

5 0

I hope this helps you

2x and 8x+40 complementary angles

their sum is 180

2x+8x+40=180

10x=140

x=14

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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago

Work out the acceleration for the first 3 seconds?

Finger [1]

The acceleration is given by the slope of the line. This line passes through the points (0, 2) and (3, 5), so it has slope

$\dfrac{5-2}{3-0}=1$

which means the acceleration over this 3 second interval is 1 m/s^2.

5 0

3 years ago

Read 2 more answers

What is the answer to(1−5q)+2(2.5q+8)

never [62]

Greetings!

Simplify the Expression.
$=(1-5q)+2(2.5q+8)$

Distribute the Parenthesis.
<em>How?</em><span> Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.
</span> $=1*1-1*5q+2*2.5q+2*8$

Combine Like Terms.
$=1-5q+5q+16$

$=17$

The Answer Is:
$\left[\begin{array}{ccc}17\end{array}\right]$

Hope this helps.
-Benjamin

5 0

3 years ago

In 3-10 use the distributive property to find each missing factor

Elanso [62]

The missing factor in the equation is -21

<h3>What is a distributive factor?</h3>

The Distributive Property introduces the multiplication operator an existing mathematical statement that involves the addition operator.

From the complete question, the equation is given as:

$6 \times x= (3 \times 7) + (x \times 7)$

Where x represents the missing factor.

So, we have:

$6x= (21) + (7x)$

Remove brackets

$6x= 21 + 7x$

Collect like terms

$6x-7x= 21$

Evaluate the like terms

$-x= 21$

Divide both sides by -1

$x= -21$

Hence, the missing factor in the equation is -21

Read more about the distributive property at:

brainly.com/question/2807928

6 0

3 years ago

I deposited $ 50,000.00 in Chase Bank at 4%. How long my money has to stay in the bank to double ?

____ [38]

whyu

Step-by-step explanation:

.whyww

5 0

3 years ago