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2 years ago

Solve them please, correct answers will be marked as brainliest & a follow :) thank you x

Mathematics

1 answer:

DaniilM [7]2 years ago

4 0

Answer:

this is the answer that I could do please check it if I could help you

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The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation

balu736 [363]

Answer: 0.16

Step-by-step explanation:

Given that the run times provided are normally distributed ;

Mean(x) of distribution = 3 hours 50 minutes

Standard deviation(s) = 30 minutes

The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes

3 hours 20 minutes = (3 hrs 50 mins - 30 mins):

This is equivalent to :

[mean(x) - 1 standard deviation]

z 1 standard deviation within the mean = 0.84

z, 1 standard deviation outside the mean equals:

P(1 - z value , 1standard deviation within the mean)

1 - 0.8413 = 0.1587

= 0.16

7 0

3 years ago

An auto shop had 5 tires. Two of the tires dry rotted, so the tires cannot be used. The auto shop expects 7 vehicles to come in

Afina-wow [57]

Answer:

Explanation

5-2 equals 3

+1 that's one car

6x4 equals 24 + 1

7 0

2 years ago

Which of the following statements are true ? Check all that apply

Elden [556K]

Answer:

Options A) and E)

Step-by-step explanation:

If you use Ruffini's method for polynomials, you can find the roots.

The given picture shows us the first root of the polynomial $5x^{2}-16x+12=0$ wich is 2.

Thus, the original polynomial can be written as

$(x-2)*(5x-6)=0$

Here, you can notice that (x-2) is a factor

3 0

2 years ago

Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.

Helga [31]

Answer:

It's the law of cosines

Step-by-step explanation:

law of cosines states that $c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))$

so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59

7 0

2 years ago

Solve the following equations;- x - 9 /√x + 3 =1

fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

$\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1$

Cross multiply ,

$\sf\implies x - 9 =\sqrt{ x +3}$

Squaring both sides ,

$\sf\implies (x - 9)^2 = x + 3$

Simplify the whole square ,

$\sf\implies x^2+9^2-2.9.x = x +3 \\$

$\sf\implies x^2+81 - 18x = x -3$

Add 3 and subtract x on both sides ,

$\sf\implies x^2 -18x-x +81-3=0$

Simplify ,

$\sf\implies x^2 -19x +78=0$

Split the middle term of the quadratic equation,

$\sf\implies x^2-13x-6x+78=0$

Take out common ,

$\sf\implies x( x -13)-6(x-13)=0$

Take out ( x -13 ) as common ,

$\sf\implies ( x -13)(x-6)=0$

Equate both factors to 0 ,

$\sf\implies \boxed{\pink{\sf x = 13,6}}$

Hence the value of x is 13 or 6 .

7 0

2 years ago

Solve them please, correct answers will be marked as brainliest & a follow :) thank you x​

Solve them please, correct answers will be marked as brainliest & a follow :) thank you x