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g100num [7]
3 years ago
6

PLS HELP!! A student randomly guesses the answers to two true-false questions. Describe and correct the error in finding the pro

bability of the student guessing both answers correctly. The student can either guess two incorrect answers, two correct answers, or one of each. So the probability of guessing both answers correctly is 1/3
Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

The student was wrong. The probability is actually 1/4.

Step-by-step explanation:

Let's say you have question A and question B. You could have incorrect on A, and incorrect on B. Or, you could have incorrect on A, but a correct on B. Or, you could have an incorrect on B, but a correct on A. Or, both could be correct. <em><u>Since there are 4 different possibilities, the actual probability is 1/4.</u></em>

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Determine the standard form of the equation of the line that passes through (-2, 0) and (-8,5)
Naya [18.7K]

Answer:

-5x-6y=10      ←   in standard form

Step-by-step explanation:

The equation of a line in  standard form  is.

Ax+By=C

were

  • A is a positive integer and
  • B, C are integers

As the equation in  point-slope form

y-y_1=m\left(x-x_1\right)

where m is the slope and \left(x_1,\:y_1\right)  is a point on the line.  

as

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:0\right),\:\left(x_2,\:y_2\right)=\left(-8,\:5\right)

m=\frac{5-0}{-8-\left(-2\right)}

m=-\frac{5}{6}

using   m=-\frac{5}{6}  and \left(x_1,\:y_1\right)=\left(-2,\:0\right)  then

y-0=-\frac{5}{6}\left(x-\left(-2\right)\right)

-\frac{5}{6}\left(x-\left(-2\right)\right)=y-0

6\left(-\frac{5}{6}\left(x-\left(-2\right)\right)\right)=6y

-5\left(x+2\right)=6y

-5x-10=6y

-5x-6y=10      ←   in standard form

8 0
3 years ago
Penny has some money. After
kati45 [8]

Answer:

$32

Step-by-step explanation:

The money she spent was $5 on the kitten and if you add $5 to the remaining $27 that is $32

4 0
3 years ago
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What equation has a slope of 2 and a y intercept of -5
DIA [1.3K]

Answer:

y=  2x - 5 equation has a slope of 2 and a y intercept of -5

Step-by-step explanation:

Given:

The slope  = 2

Intercept of y = -5

To Find:

The equation of the line = ?

Solution:

The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

The equation of the line in the slope intercept form is

y = mx+b

where

m is the slope

b is the y intercept

Now substituting the given values we get

y  = (2)x  + (-5)

y=  2x - 5

8 0
3 years ago
What times what equals 11
11111nata11111 [884]
0.5x22=11. To get answers like that, all you have to do is divide 11 by anything and then that number times the number you divided 11 by will give you the answer. So like 11 divided by 4 is 2.75. So 4x2.75=11.

5 0
3 years ago
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A father's age now is three times the age that his son was four years ago. In 12 years, the father will be twice as old as his s
irina1246 [14]

Answer:

Now, the father is 60, and the son is 24.

Step-by-step explanation:

Now:

Father's age = f

Son's age = s

4 years ago:

Father's age = f - 4

Son's age = s - 4

In 12 years:

Father's age = f + 12

Son's age = s + 12

Now:

f = 3(s - 4)

In 12 years:

f + 12 = 2(s + 12)

We have 2 equations that we can solve in a system of equations.

f = 3(s - 4)

f + 12 = 2(s + 12)

f = 3s - 12

f + 12 = 2s + 24

f = 3s - 12

f = 2s + 12

Since above both equations are in terms of f, set the right sides equal and solve for s.

3s - 12 = 2s + 12

s = 24

f = 3(s - 4)

f = 3(24 - 4)

f = 3(20)

f = 60

Now, the father is 60, and the son is 24.

8 0
2 years ago
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