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3 years ago

Will give medal !!!!

2 answers:

5 0

We can use the formula: y = mx + b.

Where m = 2/3 (slope) and (x,y) is (1,1)

Now substitute the values in order to find what "b" is.

1 = (2/3)*1 + b

1 = 2/3 + b

1 - 2/3 = b

1/3 = b

So the equation of the line is: y = (2/3)x + 1/3

To get it into standard form, it should be in the form Ax + By = C

So just multiply the equation by 3 to get rid of the fraction:

3y = 2x + 1

-2x + 3y = 1

Final answer: -2x + 3y = 1

erik [133]3 years ago

5 0

Answer:

Final answer: 2x + 3y = 1

Step-by-step explanation:

Now, you can give Backseatdog the brainiest!

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Veronique's Unique Boutique reported the following information for 2021:

Keith_Richards [23]

Answer:

5,0967,358

Step-by-step explanation:

3 0

3 years ago

Alex and Bryan are giving an exam. The probability Alex gets an A is 0.9, the probability Bryan gets an A is 0.8 and the probabi

VARVARA [1.3K]

Answer:

The probability that either Alex or Bryan get an A is 0.9

Step-by-step explanation:

Before we proceed to answer, we shall be making some important notation;

Let A = event of Alex getting an A

Let B = event of Bryan getting an A

From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ $B^{c}$ ) = 0.1

We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)

We can use the addition theorem here;

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) .......................(i)

Also,

P(A) = P(A ∩ $B^{c}$ ) + P(A ∩ B) .........................(ii)

We can insert ii into i and we have;

P(A ∪ B) = P(A ∩ $B^{c}$ ) + P(A ∩ B) + P(B) - P(A ∩ B) = P(A ∩ $B^{c}$ ) + P(B) = 0.1 + 0.8 = 0.9

5 0

3 years ago

Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran

snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

The project manager believes that p will turn out to be approximately 0.11.

This means that $\pi = 0.11$

95% confidence level

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

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

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

$0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}$

$\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2$

$n = 417.9$

Rounding up

A sample size no smaller than 418 is needed.

6 0

3 years ago

Can someone help me please

schepotkina [342]

Answer:

∠B=60°

Step-by-step explanation:

In this right traingle, using angle B, you have the opposite side which is 6√102, and the adjacent side which is 6√34. Using SOHCAHTOA this invlolves TOA so tangent B = OPPOSITE/ADJACENT or tan B = 6√102/6√34. Simplifying gives tan B=√3. You can use your calculator to solve for B by taking the inverse tangent of √3 or you can use the known trig ratios from the unit circle if you have already learned that to find that angle B is 60°

5 0

3 years ago

The frequency table shows the results of tossing a ball 24 times into the four coloured sections on a carnival game Section | nu

Keith_Richards [23]

Answer:

Step-by-step explanation:

you toss the ball 24 times, and of those 24 times, it lands 12 times on the yellow section, so 12/24= 0.5

8 0

4 years ago