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maria [59]
3 years ago
6

a linear system with no solution consists of the equation y=4x-3 and a second equation of the form y=mx+b. what can you say abou

t the value of m and b ? explain your reasoning
Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0
The value of m must be 4 and the value of b must NOT be -3.

No matter what numbers they involve, two equations with the SAME slope (m) and a DIFFERENT y-intercept (b) have no solution.  This is because they form parallel lines, never crossing and therefore never giving a solution.
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Five times a number plus four times the same number is equal to 360. What is the number?
eduard
5x40=200
4x40=160
200+160=360
8 0
4 years ago
Read 2 more answers
According to Harper's Index, 40% of all federal inmates are serving time for drug dealing. A random sample of 20 federal inmates
loris [4]

Answer:

(a) P(X≥10) = 0.245

(b) P(X≤5) = 0.125

(c) The expected number of inmates who are serving time for drug dealing is 8.

Step-by-step explanation:

We will use the binomial distribution to solve this problem. Let X be the number of federal inmates who are serving time for drug dealing. We will use the binomial probability formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total number of federal inmates

           x = no. of federal inmates who serve time for drug dealing

           p = probability that a federal inmate is serving time for drug dealing

           q = probability that a federal inmate is not serving time for drug dealing

(a) P(X≥10) = 1 - P(X<10)

                 = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) + P(X=9)]

                = 1 - [²⁰C₀(0.4)⁰(0.6)²⁰⁻⁰ + ²⁰C₁(0.4)¹(0.6)²⁰⁻¹ + ²⁰C₂(0.4)²(0.6)²⁰⁻² + ²⁰C₃(0.4)³(0.6)²⁰⁻³ + ²⁰C₄(0.4)⁴(0.6)²⁰⁻⁴ + ²⁰C₅(0.4)⁵(0.6)²⁰⁻⁵ + ²⁰C₆(0.4)⁶(0.6)²⁰⁻⁶ + ²⁰C₇(0.4)⁷(0.6)²⁰⁻⁷ + ²⁰C₈(0.4)⁸(0.6)²⁰⁻⁸ + ²⁰C₉(0.4)⁹(0.6)²⁰⁻⁹

                 = 1 - (0.000036 + 0.00048 + 0.00308 + 0.0123 + 0.0349 + 0.0746 + 0.1244 + 0.1658 + 0.1797 + 0.1597)

                 = 1 - 0.7549

P(X≥10) = 0.245

(b) P(X≤5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

since we have calculated these values in the previous part, we will simply plug them in here and then add them up.

P(X≤5) = 0.000036 + 0.00048 + 0.00308 + 0.0123 + 0.0349 + 0.0746

P(X≤5) = 0.125

(c) For a binomial distribution, the expected value can be calculated as:

μ = np

  = (20)(0.4)

μ = 8

The expected number of inmates who are serving time for drug dealing is 8.

7 0
3 years ago
I need help with the questions in the files
Margaret [11]

Answer:

okay im sorry but i can only help with the first page so im going to use the first equation as an example. when it tells you what x equals in this case four you put it in place of the variable and put it all together and see if those two numbers egual the amount given. so here it written out:

x +11=15 x= 4

4+ 11 + 15.

in this case yes the given numbers equal the amount.

really hope this helped you!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the length, in centimeters (cm), of y?
Andre45 [30]

Answer:

should be 6

Step-by-step explanation:

Pythagorean Theorum was used.

6 0
3 years ago
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A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are p
denis-greek [22]

Answer:

70

Step-by-step explanation:

Given that:

There are twelve (12) lines in a direction and another nine 9 lines in another direction.

If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.

i.e these 11 squares are 11 inches apart.

Hence, the length of their grid = 11  inches × 11 inches = 121  inches²

Thus, for 12 in by 12 in tiles; we will have:

= \dfrac {121}{12}

= 10 \dfrac{1}{12}

This implies that there are 10 files with just \dfrac{1}{2} inch gap in length.

Similarly, for 8 squares and 11 inches apart;

The width = 8 inches × 11 inches = 88 inches²

Thus; the 12 in tiles needed = \dfrac{88}{12}

= 7 \dfrac{1}{3}

It signifies that there are 7 tiles with \dfrac{1}{3} inch gap in width.

Thus, the least number of tiles required = 10 × 7 = 70

5 0
3 years ago
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