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3 years ago

8

Solve the equation

3x = 40" align="absmiddle" class="latex-formula">

2 answers:

laiz [17]3 years ago

5 0

The answer is X = -5

Lana71 [14]3 years ago

3 0

ANSWERERRRRER YWWWWWWWW

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Write a whole number that rounds to 9000 if we are rounding to the nearest thousand

Liono4ka [1.6K]

9001

Or any whole number less than 9500

4 0

3 years ago

Mr. Lawrence used 100 tiles when he put a new floor in the kitchen 34 tiles are squares and 16 tiles are rectangles write the to

Oliga [24]

<h3>Fraction of square tiles = $(\frac{4}{25}) = 0.16$ </h3><h3>Fraction of rectangle tiles = $(\frac{17}{50}) = 0.34$ </h3>

Step-by-step explanation:

Total number of tiles to be used in the kitchen = 100

The total number of square tiles = 34

The total number of rectangle tiles = 16

Now, calculating the total fraction of square tiles:

The fraction of square tiles = $\frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}} = \frac{16}{100} = \frac{4}{25}$

Also, solving the fraction, we get $\frac{4}{25} = 0.16$

So, the decimal value of square tiles = 0.6

Calculating the total fraction of rectangle tiles:

The fraction of rectangle tiles = $\frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}} = \frac{34}{100} = \frac{17}{50}$

Also, solving the fraction, we get $\frac{17}{50} = 0.34$

So, the decimal value of rectangle tiles = 0.34

4 0

3 years ago

A 30-60-90 right triangle has a hypotenuse of 4 inches, What is the length in inches of the short leg? (The one opposite the 30

Yuliya22 [10]

Answer:

2

Step-by-step explanation:

In 30-60-90

The hypotenuse is always the short leg multiplied by 2

So going backward, 4/2 = 2

7 0

3 years ago

An instructor who taught two sections of engineering probability last term, the first with 20 students and thesecond with 30, de

Oliga [24]

Answer:

0.207

Step-by-step explanation:

This is an hypergeometric distribution problem

An hypergeometric distribution has the same sense as the discrete probabilities of binomial distribution, but unlike binomial distribution, hypergeometric distribution does not allow replacement.

Binomial distribution expresses the probability of picking k objects from n with replacement, but hypergeometric distribution expresses picking k objects from n without replacement, with the finite total population, N, containing K objects.

It is expressed mathematically as

h(k: n, K, N) = (ᴷCₖ)(ᴺ⁻ᴷCₙ₋ₖ)/(ᴺCₙ)

where

k = number of students in the 2nd section required to be in the first 15 graded projects (number of successes) = 10

n = total number of first graded projects (number of trials) = 15

K = number of students in the 2nd section of the class = 30

N = total number of students = 50

h(10: 15, 30, 50) = (³⁰C₁₀)(⁵⁰⁻³⁰C₁₅₋₁₀)/(⁵⁰C₁₅)

h(10: 15, 30, 50) = (³⁰C₁₀)(²⁰C₅)/(⁵⁰C₁₅)

= (30,045,015)(15,504)/(2,250,829,575,120)

P(X = 10) = 0.207

Hope this Helps!!!

7 0

3 years ago

Which is the graph of f(x) = (x + 3)(x - 2

yanalaym [24]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).

The axis of symmetry is a vertical line located halfway between -3 and 2:

x = -1/2.

The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).

With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.

5 0

3 years ago