All categories

2 years ago

PLEASE HELP AS SOON AS POSSIBLE! Please look at the attached image, I greatly appreciate it!

Mathematics

1 answer:

lukranit [14]2 years ago

6 0

Answer:

x^2 = 10^2 - 9^2

x^2 = 100 -81 = 19

x = 4.3588989435

The triangle sides are 10, 9 and 4.3588989435

Step-by-step explanation:

You might be interested in

Write the first five terms of the sequence. a_(n) = -1(1)/(3)^(n-1)

Annette [7]

That's a little messy :)

If that is: -1/[3^(n-1)]

-1, -1/3, -1/9, -1/27, -1/81

4 0

3 years ago

If a survey of a movie shows that 50% of all people who like the movie, enjoyed the official movie soundtrack too. If a total of

Murljashka [212]

Answer:

For the first question the sample size is n= 3850

$ME= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$\hat p \pm ME$

And replacing we got:

$0.5- 0.016 = 0.484$

$0.5+ 0.016 = 0.516$

We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.

Step-by-step explanation:

We have the following info given:

$\hat p = 0.5$ represent the estimated proportion of all people who like the movie

$n = 3850$ represent the sample size selected

For the first question the sample size is n= 3850

For the second part they gives to us the margin of error:

$ME = 0.016$

We know that the confidence interval for a population proportion $p$ of interest is given by:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

And the margin of error is given by:

$ME= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

So then the confidence interval can be found with this formula:

$\hat p \pm ME$

And replacing we got:

$0.5- 0.016 = 0.484$

$0.5+ 0.016 = 0.516$

We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.

5 0

3 years ago

Solve -3x + 12 = x - 4. Show each step of your work.

pashok25 [27]

Answer x=4

Step-by-step explanation

-3x+12=x-4

+3x +3x

12=4x-4

+4 +4

16=4x

16/4=4x/4

x=4

8 0

3 years ago

Read 2 more answers

QUESTION 4

patriot [66]

Answer:

The probability of drawing four red cards in a row (with replacement)is 0.1975

Step-by-step explanation:

Assuming we have a standard card deck, we'll have this color distribution:

Spades : Black
Clubs : Black
Diamonds : Red
Hearts : Red

In consequence, if we remove all of the clubs from the deck, we will have 26 red cards out of 39 cards left.

Now, let's recall that the formula of probability is:

Probability = Number of favorable outcomes/Total number of possible outcomes

Replacing with the values we know:

Probability of drawing a 1st red card = 26/39 = 2/3
We return the 1st card to the deck, reshuffle and draw a new card:
Probability of drawing a 2nd red card = 2/3
We return the 2nd card to the deck, reshuffle and draw a new card:
Probability of drawing a 3rd red card = 2/3
We return the 3rd card to the deck, reshuffle and draw a new card:
Probability of drawing a 4th red card = 2/3

Therefore,

Probability of drawing four red cards in a row (with replacement):

2/3 * 2/3 * 2/3 * 2/3 = 16/81

16/81 = 0.1975

8 0

3 years ago

Identify the quotient in the form a + bi. HELP PLEASE!!

Flauer [41]

Answer:

OPTION C

Step-by-step explanation:

To find the quotient of $\frac{5 - 8i}{3 + 2i}$

Multiplying and dividing by conjugate we get:

$\frac{5 - 8i}{3 + 2i} \times \frac{3 - 2i}{3 - 2i}$

$= \frac{(5 - 8i)(3 - 2i)}{9 + 4}$

[Since, $(a + ib)(a - ib) = a^2 + b^2$ ]

$= \frac{15 -10i -24i -16}{13}$

$\frac{-1 -34i}{13}$

$= \frac{-1}{13} - \frac{34i}{13}$

Therefore, OPTION C is the answer.

6 0

3 years ago