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grigory [225]
3 years ago
14

What is the x intercept of this linear function. y=2x-3​

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

set y = 0 to get the x intercept,,,,,,,,,,   0 = 2x -3 =    x = 3/2 or 1.5

Step-by-step explanation:

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(WILL GIVE BRAINLIEST) In right ∆ABC with m∠B=30°, AC = 4. Find HB
goblinko [34]

Answer:

HB would be 90 degrees

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
3 years ago
Identify the TRUE statement relating to a property of the function y = sin x
svlad2 [7]

The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

<h3>Properties of the function</h3>

The following are the properties of the sin trigonometric ratio of the function;

  • The sine graph rises till +1 and then falls back till -1 from where it rises again.
  • The function y = sin x is an odd function
  • The domain of y = sin x is the set of all real numbers
  • The range of sine function is the closed interval [-1, 1]
  • The amplitude of the function is half its range value
  • One cycle of the function is 6. 28

From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

Learn more about the sine function here:

brainly.com/question/9565966

#SPJ1

6 0
2 years ago
The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

5 0
3 years ago
Which rational exponent represents a square root?<br> A. 1 / 2<br> B. 3/2<br> C. 1/3<br> D. 1/4
Fofino [41]

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. \frac{1}{2} is the same

as taking the square root.

  • so x^{\frac{1}{2}} is the same as the square root of x.

For example, taking the square root of 4 will determine:

4^{\frac{1}{2}}

\mathrm{Factor\:the\:number:\:}\:4=2^2

4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}

\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0

\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}

so the expression becomes

4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}

    =2^1

    =2         ∵ \mathrm{Apply\:exponent\:rule}:\quad \:a^1=a

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

5 0
3 years ago
Read 2 more answers
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