Answer:
5 cats, 1 fish and 94 birds
Step-by-step explanation:
Let
- c be the number of cats;
- b be the number of birds;
- f be the number of fish.
A kid bought 100 toy animals, then
If a cat costs $10.00, then c cats cost $10c.
If a fish costs $3.00, then f fish cost $3f.
If a bird costs $0.50, then b birds cost $0.5b.
In total,
We get the system of two equations:
From the first equation:
Substitute it into the second equation:
Number f must be a whole number greater than 0, so
Number c must be a multiple of 5, thus the only possible value for c is 5.
When c = 5, then
Answer: x+y>5 or (x+y)-5
Step-by-step explanation:
There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.
Inequality
By using an inequality, we would use the less than sign because 5 is <u>less than</u> the sum of x and y.
5<x+y
We can also write it where the variables are on the left side, which is usually preferred.
x+y>5
-------------------------------------------------------------------------------------------------------------
Expression
For an expression, we would basically write an equation, but without the equals sign.
(x+y)-5
Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.
Answer:
84% or 42/50
Step-by-step explanation:
Answer:
The correct option is:
A. We are 95% confident that the interval from 55.4 seconds to 61.2 seconds actually does contain the true value of μ.
Explanation:
In statistics, confidence interval is the interval estimate about the population parameter of interest at certain level of confidence like 95%. A 95% confidence interval gives us a range of values that we can be 95% confident contains the true mean of the population.
Therefore, the option A is correct
Answer:
Step-by-step explanation:
Given:
The equation given is:
We simplify the given equation using the following law of indices:
Therefore,
Since the base on both the sides is same, therefore, their exponents must also be same. This gives,
Therefore, the value of 'n' is 3.
