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Rainbow [258]
3 years ago
7

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7 8 . There are 72 m

arbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Mathematics
1 answer:
Arturiano [62]3 years ago
8 0

Answer:

63 red marbles.

Step-by-step explanation:

Because the probability of drawing a red marble is 7/8, the number of red marbles = 7/8 * 72

= 7 * 9

= 63.

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Pls answer x-24=58; x=82<br>yes I know its easy
MatroZZZ [7]
I think you solved it on your own because x is 82
4 0
3 years ago
Read 2 more answers
Of the volunteers donating blood in a clinic, 30% have the Rhesus (Rh) factor present in their blood. (a) If five volunteers are
maksim [4K]

Answer:

0.83193

Step-by-step explanation:

Probability of having the Rhesus (Rh) factor present in their blood; p = 0.3

Sample size; n = 5

We want to find the probability the probability that at least one does not have the Rh factor.

This will be;1 - P(X < 1)

This is a binomial probability distribution. Thus;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

P(X < 1) = P(X = 0)

Thus;

P(X = 0) = C(5, 0) × 0.3^(0) × (1 - 0.3)^(5 - 0)

P(X = 0) = 1 × 1 × 0.16807

P(X = 0) = 0.16807

Thus;

1 - P(X < 1) = 1 - 0.16807 = 0.83193

4 0
3 years ago
If y = 2x and 3x - 3y = 2, then x =
faltersainse [42]

Answer:

The value of x is equal to -2/3.

Step-by-step explanation:

In the problem it says that y equals 2x, and that 3x - 3y = 2.

The first step is to substitute 2x into y.

3x - 3(2x) = 2.

The next step is to use distributive property.

-3(2x) = -6x.

Now we need to add like terms.

3x - 6x = -3x.

Which gives us the equation -3x = 2.

The final step is to divide on both sides to get the value of x.

-3x/-3 = 2/-3.

x = -2/3.

So as you can see, x is equal to -2/3.

We can also check to make sure by redoing the problem, but substituting the value of x.

3(-2/3) - 3(2 * -2/3) = 2.

-2 - 3 * -4/3 = 2.

-2 + 4 = 2.

2 = 2.

The value of x is indeed -2/3.

5 0
2 years ago
Please someone answer this please
gladu [14]

Option C:

\frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Solution:

Given expression:

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}

To find which expression is equivalent to the given expression.

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}

Using exponent rule: \frac{1}{a^m}=a^{-m}, \ \  \frac{1}{a^{-m}}=a^{m}

    $=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }

    $=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }

Using exponent rule: {a^m}\cdot{a^n}=a^{m+n}

    $=\frac{-18 a^{(-2+4)} b^{(5+6)}}{-12 }

   $=\frac{-18 a^{2} b^{11}}{-12 }

Divide both numerator and denominator by the common factor –6.

   $=\frac{3 a^{2} b^{11}}{2 }

$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }

Therefore, \frac{3 a^{2} b^{11}}{2 } is equivalent to the given expression.

Hence Option C is the correct answer.

8 0
3 years ago
Jake is building a circular sandbox for his son. How many plastic blocks will he need to make one layer around the sandbox?
irakobra [83]

Answer:

35

Step-by-step explanation:

8 0
3 years ago
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