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3 years ago

11

Sarah had (x) dollars. Rachel had four times as much as Sarah. Addie had 10 dollars less than Sarah. How much money did they hav

e altogether?

1 answer:

Oduvanchick [21]3 years ago

6 0

Answer:

5X - 10

Step-by-step explanation:

Sarah had X

Then, Rachael had 4X

And, Addie had X - 10

Total dollar = X + 4X + X - 10

= 5X - 10

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A bag contains five white balls and four black balls. Your goal is to draw two black balls. You draw two balls at random. What i

NARA [144]

Answer:

0.1667 = 16.67% probability that they are both black.

Step-by-step explanation:

The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 4 = 9 balls, which means that $N = 9$

4 are black, which means that $k = 4$

2 are chosen, which means that $n = 2$

What is the probability that they are both black?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,9,2,4) = \frac{C_{4,2}*C_{5,0}}{C_{9,2}} = 0.1667$

0.1667 = 16.67% probability that they are both black.

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3 years ago

What is the relationship between the arc length and the radius of a circle when the central angle is defined in radians

Ket [755]

$radians=\frac{arc\ length}{radius}$

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4 years ago

Pls quickly help:

Veronika [31]

Yes she is correct just do the proper calculations

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3 years ago

Which one of these scales is equivalent to the scale 1 cm to 5 km? 3 cm to 15 km 1 mm to 150 km 5 cm to 2.5 km 1 mm to 500 m

Jobisdone [24]

1cm×3 to 5km×3=3cm to15km

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3 years ago

Problem situation:

stepladder [879]

Answer:

Rewrite so x is on the left side of the inequality.

8 + 4.99x < 20

Move all terms not containing x to the right side of the inequality.

4.99x < 12

Divide each term by 4.99 and simplify.

x < 2.405

The result can be shown in multiple forms.

Inequality Form:

x < 2.405

Interval Notation:

( −∞ , 2.405 )

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers