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3 years ago

Kevin wants to cover a rectangular floor that is 15 feet by

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

7 0

Answer: 50 square yards

Step-by-step explanation:

From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.

The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet

15 feet = 15/3 = 5 yards

30 feet = 30/3 = 10 yards

Area = 5 × 10 = 50 square yards

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Ms Thomas drove at a constant rate for 45. She drove 39 miles during that time. If distance is determined by the equation d=rt w

Cerrena [4.2K]

Answer:

Ms. Thomas was driving at constant rate of 52 miles/hour.

Step-by-step explanation:

Given:

Total time to travel (t) = 45 minutes

Distance drove (d) = 39 miles

we need to find the constant rate in miles per hour at which she was driving.

Solution:

Now we know that;

We need to find constant rate at miles per hour;

But time is given in minutes.

So we will convert minutes into hour by dividing by 60 we get;

time $t =\frac{45}{60}= 0.75\ hrs$

Now we know that;

Distance is equal to rate times time.

framing in equation form we get;

distance $d =rt$

rate $r= \frac{d}{t} = \frac{39}{0.75}= 52 \ mi/hr$

Hence Ms. Thomas was driving at constant rate of 52 miles/hour.

6 0

3 years ago

Combining like terms with negative coefficients & distribution

Leno4ka [110]

$- 4(z + 3) - 4(5 - 4z) \\ = - 4z - 12 - 20 + 16z \\ = 12z - 32$

6 0

3 years ago

The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose t

olga nikolaevna [1]

The Probability of that more than 7 of them germinate is 0.2948.

<h3>What is Probability?</h3><h3>Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.</h3>

We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.

The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.

The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.

The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268 = 0.268 = 26.8%.

The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.

Thus, The Probability of that more than 7 of them germinate is 0.2948.

Learn more about Probability from:

brainly.com/question/11234923

#SPJ1

3 0

2 years ago

Please help: A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that:

Y_Kistochka [10]

Answer:

a) 0.2778

b) 0.3611

c) 0.1389

d) 0.0833

Step-by-step explanation:

We have a total of 5 + 3 + 1 = 9 balls

a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9

Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2

Both yellows: P = P1 * P2 = 5/18 = 0.2778

b) Both blues:

P1 = 3/9 = 1/3

P2 = 2/8 = 1/4

P = P1 * P2 = 1/12 = 0.0833

Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611

c) First yellow: P1 = 5/9

Second red: P2 = 1/8

Pa = P1 * P2 = 5/72

First red: P3 = 1/9

Second yellow: P4 = 5/8

Pb = P3 * P4 = 5/72

P = Pa + Pb = 10/72 = 5/36 = 0.1389

d) First blue: P1 = 3/9 = 1/3

Second red: P2 = 1/8

Pa = P1 * P2 = 1/24

First red: P3 = 1/9

Second blue: P4 = 3/8

Pb = P3 * P4 = 1/24

P = Pa + Pb = 2/24 = 1/12 = 0.0833

8 0

3 years ago

What does the A equal to in a + (-7) = 3

Korolek [52]

A = 10

Step by step

3+7=10
10+(-7)=3

7 0

2 years ago