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KengaRu [80]
3 years ago
11

Find X. Round to the nearest tenth if necessary.

Mathematics
1 answer:
storchak [24]3 years ago
3 0

Answer:

3.2

Step-by-step explanation:

If there are 2 secont lines intersecting inside a circle like the picture shown, then the theorem tells us that <em>"the product of 2 segments of one secant line is equal to the product of 2 segments of other secant line"</em>

<em></em>

Thus, we can say that:

x * 10 = 8 * 4

10x = 32

x = 32/10

x = 3.2

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uranmaximum [27]
0.94>0.49 because 0.94 is the larger number.

5 0
3 years ago
Read 2 more answers
You flip an unfairly weighted coin 4 times. If the probability of getting a tail is 0. 38.
anygoal [31]

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

8 0
2 years ago
Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $
just olya [345]

Answer:

2.69≤x≤17.31

Step-by-step explanation:

Lety the amount in the other Piggy bank be x.

The difference in the amount of money between the two banks is no more than $10 is expressed as;

|x-7.31| ≤ 10

The value in the modulus sign can be positive or negative

If positive;

x-7.31 ≤ 10

x ≤ 10+7.31

x≤17.31

If negative

-(x-7.31) ≤ 10

-x+7.31 ≤ 10

-x ≤ 10-7.31

-x ≤ 2.69

Multiply both sides by -1

x ≥ -2.69

The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31

4 0
3 years ago
(d) Factorise<br> x² – 100
inessss [21]

Answer:

Step-by-step explanation:

Help Me with my homework

7 0
3 years ago
What is the standard form of the line that has x-intercept 6 and y-intercept -2
alisha [4.7K]

Answer:

<h2>x - 3y = 6</h2>

Step-by-step explanation:

The Standard Form of an equation of a line:

Ax+By=C

We have the x-intercept and the y-intercept

x-intercept is for y = 0

y-intercept is for x = 0

Therefore we have two points: (6, 0) and (0, -2).

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Calculate the slope:

m=\dfrac{-2-0}{0-6}=\dfrac{-2}{-6}=\dfrac{1}{3}

Put it and the value of y-intercept <em>b = -2</em> to the equation of a line:

y=\dfrac{1}{3}x-2

Convert to the standard form:

y=\dfrac{1}{3}x-2            <em>multiply both sides by (-3)</em>

-3y=-x+6            <em>add x to both sides</em>

x-3y=6

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3 years ago
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