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iren2701 [21]
3 years ago
15

Question 5

Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0
BBBBBBBBBBBBBBBBBBBBBBBB
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What is the greatest<br> common factor (GCF) of 16<br> and 21
viktelen [127]

Answer:

1

Step-by-step explanation:

Let's start by prime factorizing (finding the prime factors) of 16 and 21:

16=4*4=2*2*2*2=2^4

21=3*7

We can see that they DO NOT have any common factors, meaning that their greatest common factor is 1.

6 0
2 years ago
Read 2 more answers
A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s
Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

P_K=3P_T\\\\P_K-3P_T=0

Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

8 0
3 years ago
Find the surface area of the cylinder. Use a ~ 3.14 20 m​
lesantik [10]

Answer:

1444.4 m2

Step-by-step explanation:

Surface Area = 2 * 3.14 * (R*R + R*L) = 2 * 3.14 * (10*10+10*13) = 1444.4 m2

Note .. You can Derive this  

"Surface Area = 2 * 3.14 * (R*R + R*L)"

Using Calculus by differentiating its Volume

V = 3.14 * R * R * L

6 0
3 years ago
Midpoint (-10,9), (3,8)
solniwko [45]

Answer:

(-3.5 8.5)

Step-by-step explanation:

Midpoint Formula: (\frac{x2 + x1}{2}, \frac{y2 + y1}{2})

What I did: -10 + 3 = 7, 7 / 2 = 3.5 x = 3.5 | 9 + 8 = 17, 17 / 2 = 8.5

Midpoint = (-3.5, 8.5)

8 0
3 years ago
Which geometric concept is most useful when explaining the effect of a rotation on a segment
sammy [17]
B is the answer I think is correct
8 0
3 years ago
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