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2 years ago

9

X^(log_(\sqrt(x))(x-3))=4

1 answer:

Zina [86]2 years ago

3 0

Answer:

X= -4

Step-by-step explanation:

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A trapezoid was broken into a rectangle and two

igor_vitrenko [27]

he base of each triangle bis

2m

The area of the rectangle is

4m**2

The area of each triangle is

4m**2

The area of the trapezoid is

12m**2

7 0

2 years ago

The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes

kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$

Therefore, standard deviation of the entire trip is 4.47 minutes.

(c) Let us first find z score corresponding to 30 minutes. $z=\frac{x-\mu }{\sigma }=\frac{30-28}{4.47}=0.447$

We need to find the probability such that $P(x>30)=P(z>0.447)=0.67$

Therefore, the required probability is 0.67.

(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.

(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

$z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0$

$P(x>30)=P(z>0)=0.5$

Therefore, probability will be 0.50.

6 0

2 years ago

Read 2 more answers

While Flinn was starting the fire, his friends were collecting firewood. Flinn has 5 sticks. If he puts 3 sticks in the fire eve

a_sh-v [17]

7m - 3m + 5 = 45

4m + 5 = 45

45-5 = 40

4m = 40

40/4

m = 10 minutes

6 0

2 years ago

The perimeter of the square at the right is 48 in what is the area of the square at the right explain how you found your answer

irina1246 [14]

ok so 48÷4 is each side since square sides are equal that is 12 ×12 which is a area of 144

5 0

3 years ago

Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilome

andrew-mc [135]

<u><em>Answer:</em></u>

(c) 4.1 km

<u><em>Explanation:</em></u>

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

<u>where:</u>

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>

$hypotenuse = +\sqrt{(side1)^2 + (side2)^2}$

<u>Substitute with the givens:</u>

$hypotenuse = +\sqrt{(4)^2 + (1)^2}$ = √17 ≈ 4.1 km

Hope this helps :)

3 0

2 years ago