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3 years ago

Which is the best way to fix the following run on sentence

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

7 0

Answer:

Reasoning:

You should add a period to fix the run-on sentence because they're two different ideas. (They don't fit in the same sentence.)

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An angle measures 74° less than the measure of its supplementary angle. What is the measure of each angle?

Olin [163]

Given that the two angles are supplementary, the measure of each angle is 127° and 53°.

<h3>What is the measure of each angle?</h3>

Supplementary angles are two angles whose sum is 180 degrees.

Given the data in the question, let 'x' represent the measure of the first angle.

Measure of first angle = x
Measure of second angle = x - 74
Sum of the complementary angles = 180°

Since supplementary angles are two angles whose sum is 180 degrees.

Measure of first angle + Measure of second angle = 180

x + ( x - 74 ) = 180

x + x - 74 = 180

2x - 74 = 180

2x = 180 + 74

2x = 254

x = 254/2

x = 127°

Hence,

Measure of first angle = x = 127°

Measure of second angle = x - 74 = 127 - 74 = 53°

Given that the two angles are supplementary, the measure of each angle is 127° and 53°.

Learn more about supplementary angles brainly.com/question/23582576

#SPJ1

5 0

2 years ago

The radius of a circle is 9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Veseljchak [2.6K]

Answer:

56.55 ft.

Step-by-step explanation:

Circumference

$2\pi r$

For this case:

r = 9

Thus:

$2\pi(9) = 56.5486...$

rounded to the nearest tenth we have

C = 56.55 ft.

5 0

3 years ago

Plz help mee ;-; .................

forsale [732]

4X+60=640
4X=640-60
4X=580
X=580/4=145

8 0

3 years ago

Courtney and Alan are conducting an experiment. Every time Courtney flips a fair two-sided coin, Alan rolls a six-sided die. Wha

Naily [24]

Answer:

I think the answer is D. 1/12

7 0

3 years ago

Read 2 more answers

Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive

PtichkaEL [24]

Looks like the PMF is supposed to be

$\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}$

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

$\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65$

Next,

$\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25$

$\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5$

$\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2$
$\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5$
$\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}$

If $Y=X^2+1$ , then $X^2=Y-1\implies X=\sqrt{Y-1}$ , where we take the positive root because we know $X$ can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that $Y$ can take on the values $1^2+1=2$ , $2^2+1=5$ , and $5^2+1=26$ . At these values of $Y$ , we would have the same probability as we did for the respective value of $X$ . That is,

$\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}$

Part (5) is incomplete, so I'll stop here.

8 0

3 years ago