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Effectus [21]
3 years ago
12

Complete the similarity statement for the similar figures then find the scale factor

Mathematics
1 answer:
olganol [36]3 years ago
7 0

Answer:

RQS and Scale factor is 2/3.

Step-by-step explanation:

Scale factor is 2/3. 6 divided by 4 = .66 or 4/6 simplified 2/3

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In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. If there are 529 chairs in th
BartSMP [9]

Answer:

23!

Step-by-step explanation:

529/23= 23

23 chairs and 23 rows

8 0
2 years ago
When Ginny hikes Mount Adams, she always packs a ratio of 20 protein bars to 15 water bottles in her backpack. How many protein
Yuliya22 [10]
If you divide it by 5 on both numbers you get four and three.  So 4 is the answer.
5 0
3 years ago
32​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
Tems11 [23]

Answer:

a) P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

b) P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

c) P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.32)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

Part b

P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]

P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211  

P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

Part c

P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264

P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218

P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123

P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

6 0
3 years ago
Five less than nine times a number is the same as nineteen more than the number
Xelga [282]

Answer:


Step-by-step explanation:

The first thing you need to do is develop the equation. Less in this case means subtract.

On the left side you have

9 times a number which is 9*x

5 less than 9 times a number means 9x - 5

Now you shift to the right

x = 3

x + 19  What you get is

9x - 5 = x + 19        Subtract x from both sides of the equation

9x - x - 5 = 19        Combine both x terms on the left

8x - 5 = 19             Add 5 to both sides.

8x - 5 + 5 = 19 + 5 Combine terms

8x = 24                  Divide by 8

x = 24/8

x = 3

4 0
3 years ago
13p-9p=16 solve for p
Levart [38]

Answer:

P=4

Step-by-step explanation:

5 0
3 years ago
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