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3 years ago

Three students took a math test.

Mathematics

1 answer:

Rus_ich [418]3 years ago

4 0

Answer:

20 minutes

Step-by-step explanation:

Liam completed the test in 1/2 of an hour. One half of that, Sarah's time, is 1/4.

Hence, you don't even have to solve for Emma's time, Sarah took twenty minutes to complete the test.

Hope this helps :)

<em>Brook</em>

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What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8?

o-na [289]

Answer:

0.40

Step-by-step explanation:

to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8

Let A = sum of dice is 8

B = one lands in 5

P(B/A) = P(AB)/P(A) by conditional probability

P(AB) = sum is 8 and one is 5

So (5,3) or (3,5)

P(A) = sum is 8.

i.e. (2,6) (2,6) (3,5) (5,3) (4,4)

Required probability

= n(AB)/n(A)

= $\frac{2}{5} =0.40$

4 0

3 years ago

Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

larisa86 [58]

Answer:

Point (1,8)

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

Let us substitute coordinates of point P and Q as:

$x_1=-8$ ,

$y_1=-4$

$x_2=4$

$y_2=12$

$m=3$

$n=1$

$[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]$

$[x=\frac{12-8}{4},y=\frac{36-4}{4}]$

$[x=\frac{4}{4},y=\frac{32}{4}]$

$[x=1,y=8]$

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

7 0

3 years ago

Consider the functions f(x)=(ax^2-b)/(x^2-4) and g(x)=(x^2-cx+d). if the limit as x approaches 3 equals 6, what is the relations

Dmitry_Shevchenko [17]

$6=\dfrac{a\cdot3^2-b}{3^2-4}\\\\
6=\dfrac{9a-b}{5}\\\\\
9a-b=30\\\\
\boxed{b=9a-30}$

6 0

3 years ago

The sum of an integer and 6 times the next consecutive odd integer is 61. Find the

vfiekz [6]

If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Consider the first odd integer as x

Then the next consecutive odd integer = x+2

The 6 times the second integer= 6(x+2)

= 6x+12

Sum of an integer and 6 times the next consecutive odd integer is 61

Then the equation will be

x + 6x+12 = 61

Add the like terms in the equation

(1+6)x + 12 = 61

7x +12 = 61

Move 12 to the right hand side of the equation

7x = 61-12

7x = 49

x = 49/7

x = 7

The second number is

x+2 = 7+2

= 9

Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Learn more about equation here

brainly.com/question/28741857

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4 0

1 year ago

Write the equation of a line whose y-intercept is 8 and it parallel to a line with slope 1/2

Alex

Y=1/2x+8

I think this might be right

4 0

3 years ago

Read 2 more answers