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Sunny_sXe [5.5K]
4 years ago
9

Point A(2, 2) and point B(4, −3) are located on the grid. Which measurement is closest to the distance between point A and point

B in units?
A) 5.2 units
B) 5.4 units
C) 5.6 units
D) 5.8 units

Mathematics
2 answers:
Ganezh [65]4 years ago
5 0

Answer:

B) 5.4 units

Step-by-step explanation:

xxTIMURxx [149]4 years ago
4 0

Answer:

b

Step-by-step explanation:

You might be interested in
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
mezya [45]

Answer:

The formula to the sequence

-5, 10/3, -20/9, 40/27, -80/81, ...

is

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

Step-by-step explanation:

The sequence is

-5, 10/3, -20/9, 40/27, -80/81, ...

By inspection, we see the following

- The numbers are alternating between - and +

- The numerator of a number is twice the numerator of the preceding number. The first number is 5.

- The denominator of a number is 3 raised to the power of (1 minus the position of the number)

Using these, we can write a formula for the sequence.

(-1)^n for n = 1, 2, 3, ... takes care of the alternation between + and -

5×2^(n-1) for n = 1, 2, 3, ... takes care of the numerators 5, 10, 20, 40, ...

3^(1-n) for n = 1, 2, 3, ... takes care of the denominators 1, 3, 9, 27, ...

Combining these, we have the formula to be

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

8 0
3 years ago
Kellogg is planning to market a new kind of cereal. However, before marketing this product, the company wants to find what perce
artcher [175]

Answer:

The predominant formula that will be used to solve the problem is,

CI=\hat p\pm z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}.

Step-by-step explanation:

Kellogg is planning to market a new kind of cereal and wants to determine the percentage of people will like it.

Kellogg will market the cereal if at least half of the people in the population will like it.

So, the company’s research department selected a random sample of 500 persons and asked them to taste it. Of these 500 persons, 280 said they liked it.

The hypothesis to test whether Kellogg will market the cereal is:

<em>H₀</em>: Kellogg will not market the cereal, i.e. <em>p</em> < 0.50.

<em>Hₐ</em>: Kellogg will market the cereal, i.e. <em>p</em> ≥ 0.50.

The decision rule:

A 95% confidence interval for single proportion can be used to draw conclusion about this test.

If the 95% confidence interval consists of the null value, i.e. <em>p</em> < 0.50, then the null hypothesis will not be rejected. But is the confidence interval does not consist of the null value then the null hypothesis will be rejected.

The formula to compute the 95% confidence interval for the proportion of all people who like this cereal is:

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

Here,

\hat p=\frac{X}{n} = sample proportion

z_{\alpha/2} = critical value of <em>z</em> for <em>α</em> = 0.05

Thus, the predominant formula that will be used to solve the problem is,

CI=\hat p\pm z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}.

4 0
3 years ago
What is the slope of the line that passes through the points (10,5)and (15,20)
kupik [55]

Answer:

<h2>The answer is 3</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(10,5)and (15,20)

The slope is

m =  \frac{20 - 5}{15 - 10}   =  \frac{15}{5}  = 3 \\

We have the final answer as

<h2>3</h2>

Hope this helps you

8 0
3 years ago
I really dont get this
VikaD [51]
D regular polygon means everything is the same, so the square would be the correct answer.
7 0
4 years ago
Read 2 more answers
The university is on a bearing of 050 degrees from the stadium and 300 degrees from the hospital. Mark the position of the unive
Licemer1 [7]

Answer:

Check Explanation

Step-by-step explanation:

The map isn't available, but, one can draw this bearings with the descriptions given

Angles for bearings are usually drawn, reading from the north direction.

A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.

For the sketch on the map.

On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.

Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.

Wherever the line from the hospital meets the line from the stadium, is where the University is located.

Hope this Helps!!!!

6 0
3 years ago
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