Answer: 5 kilometers
Step-by-step explanation:
The expanded form for the number 165.038 is 100+60+5+0.03+0.008.
<h3>What is the expended form of decimal numbers?</h3>
Writing decimals in expanded form simply means writing each number according to its place value. This is done by multiplying each digit by its place value and adding them together. Let's look at an example: 2.435. In words, we would say this as two and four hundred thirty-five thousandths.
In the given question expended form 100+60+5+30+8 is wrong.
After decimal point the first digit is at the tenth place and second digit at the hundredth place and third is at the thousandth place and so on....
165.038 = 100+60+5+
+
+
= 100+60+5+0.03+0.008
Hence, The correct expended form of the given number is 100+60+5+0.03+0.008.
To learn more about expended form from the given link:
brainly.com/question/603715
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Answer:
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Step-by-step explanation:
Let D = cost of one medium drink
Let P = cost of one large popcorn
If a couple bought 2 medium drinks and a large popcorn for $13.85:
⇒ 2D + P = 13.85
If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:
⇒ 3D + 2P = 23.90
Rewrite 2D + P = 13.85 to make P the subject:
⇒ P = 13.85 - 2D
Substitute into 3D + 2P = 23.90 and solve for D:
⇒ 3D + 2(13.85 - 2D) = 23.90
⇒ 3D + 27.7 - 4D = 23.90
⇒ D = 3.8
Substitute found value of D into P = 13.85 - 2D to find P:
⇒ P = 13.85 - (2 x 3.8) = 6.25
Therefore,
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Answer:
Label your answer appropriately; if the question asks for measured units, make sure to put appropriate units on the answer. If the question is a word problem, the answer should be in words. In general, write your homework as though you're trying to convince someone that you know what you're talking about.
Step-by-step explanation:
Answer:
Mean for a binomial distribution = 374
Standard deviation for a binomial distribution = 12.97
Step-by-step explanation:
We are given a binomial distribution with 680 trials and a probability of success of 0.55.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 680 trials
r = number of success
p = probability of success which in our question is 0.55
So, it means X <em>~ </em>
<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>
- Mean of Binomial Distribution is given by;
E(X) = n
p
So, E(X) = 680
0.55 = 374
- Standard deviation of Binomial Distribution is given by;
S.D.(X) =
=
=
= 12.97
Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.