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Amanda [17]
3 years ago
10

Answer both please, (middle school) (Probability) ASAP

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0
For the first one its 4/7
Leokris [45]3 years ago
4 0

Answer:

The first one is 4/7 ?

30/55 or 6/11 is the second one I think ?

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The flagpole in front of VHS 50 feet tall. The angle of elevation from the end of its shadow to the top of the flagpole is 46°.
mamaluj [8]

Answer:

The length of the shadow is 48.28 feet.

Step-by-step explanation:

The flagpole at its shadow form a 46, 44, 90 triangle.

Let AB be the flagpole.  AC is the shadow.

Let's use the sine law to calculate AC.

\frac{AC}{sin(44)}=\frac{50}{sin(46)}\\AC=\sin(44)*\frac{50}{sin(46)}AC=48.28

5 0
3 years ago
Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a
Alecsey [184]

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\

The z-score corresponding to 0.78 from the z-table is 0.7823

P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

3 0
3 years ago
75 days is how many months?<br><br>​
Natali [406]
Well 2 months and 16 days
4 0
3 years ago
A rectangular room is 6.8 meters longer than it is wide, and perimeter is 29.6 meters. Find the dimensions of the room.
GuDViN [60]

Answer:

dimensions = 10.8  X 4

Step-by-step explanation:

Breadth/ width of room = x

Length of room =  6.8 + x

perimeter = 2 ( L + B )

29.6 = 2 ( 6.8 + x + x )

29.6/2 = 6.8 + 2x

14.8 - 6.8 = 2x

8 = 2x

8/2=x

4=x

Length of room =  6.8 + x = 6.8 + 4 = 10.8 m

Breadth/ width of room = x = 4m

8 0
3 years ago
Question 8 The product of – x2 + 5x – 1 and a monomial is 4x2 20x + 4. What is the monomial? ОА 4. B 4X С -4 -47​
Scrat [10]

Answer: -4

Step-by-step:

-x^2+5x-1 x _ = 4x^2-20x+4

4x^2-20x+4 / -x^2+5x-1

In the blank the answer would be -4 which is the monomial.

6 0
3 years ago
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