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oee [108]
3 years ago
7

Solve 2x - 9 - 7x = 11. A. -4 B. -1/4 C.2/5 D. 4

Mathematics
2 answers:
zalisa [80]3 years ago
7 0
2x-9-7x=11
(add common terms together)
-5x-9=11
(get x alone and positive on one side of the equation)
5x=-20
x=-4
HACTEHA [7]3 years ago
4 0
A. -4

-5x divided by 20 = -4
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155 students are going on a field trip. Each bus can carry 42 students. If every bus except the last one carry's as many student
kotykmax [81]
3 buses x 42 = 126... So the final bus will carry 155-126=29 students.... Mental Math.
3 0
3 years ago
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What is the estimate of forgive 6in by 4in
NNADVOKAT [17]

Find area of the semi circle.

The diameter is, half of that would be the radius, which is 3.

\frac{\pi \cdot 3^2}{2} = 14.1

Find the area of the rectangle.

6 * 4 =24

Add the two areas together.

24 + 14.1 = 38.1

38.1in^2

6 0
3 years ago
The scores for a certain test of intelligence are normally distributed with mean 85 and standard deviation 11. Find the 90th per
jonny [76]

Answer:

99.1 is the 90th percentile of these scores.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 11

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.90

P( X < x) = P( z < \displaystyle\frac{x - 85}{11})=0.90  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.282) = 0.90

Putting values, we get,

\displaystyle\frac{x - 85}{11} = 1.282\\\\x = 99.1

Thus, 99.1 is the 90th percentile of these scores.

5 0
3 years ago
If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott
Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

8^{2} + b^{2} = 17^{2} --> Square 8 and 17

64 + b^{2} = 289 --> Subtract 64 from both sides

b^{2} = 225 --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

7 0
2 years ago
You have a jar of Marbles in front of you 2 are Cordovan, 9 are yellow, 3 are white and 7 are red. What is the probability, as a
liubo4ka [24]

Answer:

2/35

Step-by-step explanation:

Assuming that this is without replacement,

The total amount of marbles is 2+9+3+7, or 21.

9 are yellow, 3 are white. this makes 12.

The probability of selecting a white or yellow marble is 12/21.

Now without replacement (comment if it is with replacement.), there are 20 marbles left, and 2 are Cordovan. This means there is a 2/20 chance then of picking a Cordovan marble.

After multiplying the fractions we get

(12/21) * (2/20) = 2/35.

There is a 2/35 chance of selecting a yellow or white, then a cordovan marble.

4 0
3 years ago
Read 2 more answers
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