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3 years ago

10

The Cat is a high-speed catamaran auto ferry that operates between City A and City B. The Cat can make the in about 3.5 hours at

a speed of 56 mph About how far apart are City A and City B?

1 answer:

Rama09 [41]3 years ago

7 0

Answer:

196

Step-by-step explanation:

56*3.5=196

plz mark as brainliest

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There are 9 students in a class: 2 boys and 7 girls. If the teacher picks a group of 4 at random, what is the probability that e

notsponge [240]

Answer:

<h2>28% probability that every student in the group is a girl.</h2>

Step-by-step explanation:

In this problem we have independent events, that is, the event "picking a girl" doesn't affect an "picking a boy", also, picking picking a girl doesn't affect the probability of the other subjects.

So, the probability when the first girl is being picked is:

$P_{1}=\frac{7 \ girls}{9 \ students}$

Because among the total 9 students, there are 7 girls.

Now, after picking one girl, there remains 6 girls and 8 students to be picked. So, the probability of the second girl would be:

$P_{2}=\frac{6 \ girls}{8 \ students}$

Then, the probability of the third girl:

$P_{3}=\frac{5 \ girls}{7 \ students}$

The fourth girl probability:

$P_{3}=\frac{4 \ girls}{6 \ students}$

Therefore, the probability of picking all 4 girls would be the product of each probability, because events are independent (we use product when they are independent):

$P=\frac{7 \ girls}{9 \ students} \times \frac{6 \ girls}{8 \ students} \times \frac{5 \ girls}{7 \ students} \times \frac{4 \ girls}{6 \ students}\\P=\frac{5}{18}=0.28 \ (or \ 28\%)$

Therefore, there's 28% probability that every student in the group is a girl.

5 0

3 years ago

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest

Degger [83]

Answer:

8.89 feet

Step-by-step explanation:

The square of the side length is 79 ft², so the side length is the square root of that:

√(79 ft²) ≈ 8.88819 ft ≈ 8.89 ft

3 0

3 years ago

Find the slope on the line

Alla [95]

Answer:

-1

Step-by-step explanation:

Use Rise/Run and since the line is negative the slope will be negative

8 0

2 years ago

I need help with my math!!!!!!!

olga_2 [115]

Answer:

2 $\sqrt{6}$

Step-by-step explanation:

Area of a square = $s^{2}$ (<em>s is a side length)</em>

<em>24 = </em> $s^{2}$

$\sqrt{24}$ = $\sqrt{s^{2} }$

$\sqrt{24}$ = <em>s</em>

$\sqrt{(4)(6) }$ = <em>s</em>

<em>2</em> $\sqrt{6}$ = <em>s</em>

7 0

3 years ago

Which of the following expressions are equivalent?

Dmitry [639]

Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

=–6(4x – 3)=-24+18 not equivalent

D. 5(2x + 3y) and 25xy

=5(2x + 3y)=10x+15y not equivalent.

4 0

3 years ago