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3 years ago

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When a system of equations has at least one solution, it is called an

1 answer:

harina [27]3 years ago

6 0

The answer is :It is consistent

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To bake several loaves of bread a ya used 6 cups of water and 18 cups of flour she used the same ratio of water to flour for eve

Ratling [72]

Answer:

Step-by-step explanation:

you need to ask your question differently, its missing context

5 0

3 years ago

Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB

Nina [5.8K]

$\text{Hello there! :)}$

$x = 8\\\\AB = 128 \text{ units}$

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$\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\$

$\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\$

$\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40$

$\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8$

$\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8$

$\text{Substitute in this value of x into either AM or MB to solve for AB:}$

$AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}$

5 0

4 years ago

??????????????? ?????????

Step2247 [10]

I think that would be "True". Good Luck ;D

7 0

3 years ago

On an eight question true-false quiz, a student guesses each answer. What is the probability that he/she gets at least one of th

Fantom [35]

Answer:

$P[at\ least\ 1] = 0.9961$

Step-by-step explanation:

Given

$Questions = 8$

$Quiz\ Type = True\ or\ False$

Required

Probability that s/he gets at least one correctly

First, we calculate the probability of answering a question correctly

Since, there are just 2 choices (true or false), the probability is:

$P(correct) = \frac{1}{2}$

Similarly, the probability of answering a question, wrongly is:

$P(wrong) = \frac{1}{2}$

The following relationship exists, in probability:

$P[at\ least\ 1] = 1 - P[none]$

So, to calculate the required probability.

First, we calculate the probability that he answers none of the 8 questions correctly.

$P[none] = p(wrong)^8$

$P[none] = (\frac{1}{2})^8$

Substitute $P[none] = (\frac{1}{2})^8$ in $P[at\ least\ 1] = 1 - P[none]$

$P[at\ least\ 1] = 1 - (\frac{1}{2})^8$

$P[at\ least\ 1] = 1 - \frac{1}{256}$

Take LCM

$P[at\ least\ 1] = \frac{256 - 1}{256}$

$P[at\ least\ 1] = \frac{255}{256}$

$P[at\ least\ 1] = 0.9961$

<em></em>

<em>Hence, the probability that s/he gets at least one correctly is 0.9961</em>

6 0

3 years ago

What the decimal in ascending order.

worty [1.4K]

Answer:

where is the problemmmmmmmm

5 0

3 years ago