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sammy [17]
3 years ago
10

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chan

ce that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 10%. There is only a 50% chance that she will find a tutor at such short notice.
Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

There are a 25% probability that Christine fails the course.

Step-by-step explanation:

We have these following probabilities:

A 50% probability that Christine finds a tutor.

With a tutor, she has a 10% probability of failling.

A 50% probability that Christine does not find a tutor.

Without a tutor, she has a 40% probability of failing.

Probability that she fails:

10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

P = 0.1*0.5 + 0.4*0.5 = 0.25

There are a 25% probability that Christine fails the course.

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Solve the formula 27a + 1/3 * b = 4 for a.
Aneli [31]

Answer:

a = 4/27 - b/81

Step-by-step explanation:

27a + 1/3 * b = 4

Subtract the term with b from both sides.

27a = 4 - 1/3 *b

Divide both sides by 27.

a = 4/27 - 1/81 * b

a = 4/27 - b/81

4 0
3 years ago
Read 2 more answers
Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.
pshichka [43]

Answer:

932.60 kg

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal and multiply by the number.

114% of 818.07 kg =

= 114% * 818.07 kg

= 114/100 * 818.07 kg

= 1.14 * 818.07 kg

= 932.60 kg

7 0
3 years ago
I have nooooo clue, please help
Aleksandr-060686 [28]

Answer:

case a) x^{2}=3y ----> open up

case b) x^{2}=-10y ----> open down

case c) y^{2}=-2x ----> open left

case d) y^{2}=6x ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

y=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

x=a(y-k)^{2}+h

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

x^{2}=3y

so

y=(1/3)x^{2}

a=(1/3)

so

a>0

therefore

The parabola open up

case b) we have

x^{2}=-10y

so

y=-(1/10)x^{2}

a=-(1/10)

a

therefore

The parabola open down

case c) we have

y^{2}=-2x

so

x=-(1/2)y^{2}

a=-(1/2)

a

therefore

The parabola open to the left

case d) we have

y^{2}=6x

so

x=(1/6)y^{2}

a=(1/6)

a>0

therefore

The parabola open to the right

3 0
3 years ago
You have to fill in the blank for this one 4/9 divided by blank equals 12
photoshop1234 [79]

For this case, the first thing we must do is define a variable.

We have then:

x: unknown number

We now write the expression that models the problem:

\frac{\frac{4}{9}}{x} = 12

From here, we clear the value of x.

We have then:

\frac{4}{9}=12x

\frac{4}{9(12)}=x

x=\frac{4}{108}

x=\frac{1}{27}

Answer:

4/9 divided by 1/27 equals 12

6 0
3 years ago
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How much greater is the surface area of the rectangular prism than the surface area of the
Romashka-Z-Leto [24]

Answer:

18cm

Step-by-step explanation:

5 0
3 years ago
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