Answer:
[0.875;0.925]
Step-by-step explanation:
Hello!
You have a random sample of n= 400 from a binomial population with x= 358 success.
Your variable is distributed X~Bi(n;ρ)
Since the sample is large enough you can apply the Central Limit Teorem and approximate the distribution of the sample proportion to normal
^ρ≈N(ρ;(ρ(1-ρ))/n)
And the standarization is
Z= ^ρ-ρ ≈N(0;1)
√(ρ(1-ρ)/n)
The formula to estimate the population proportion with a Confidence Interval is
[^ρ ±
*√(^ρ(1-^ρ)/n)]
The sample proportion is calculated with the following formula:
^ρ= x/n = 358/400 = 0.895 ≅ 0.90
And the Z-value is
≅ 1.65
[0.90 ± 1.65 * √((0.90*0.10)/400)]
[0.875;0.925]
I hope you have a SUPER day!
Answer:
150 seconds
Step-by-step explanation:
use the velocity equation of

Where V is in feet per second, Delta D represents the change in displacement and delta t represents the change in time
all you need to do is rearrange the equation to find Delta(T)
as such...

Answer:
noooooooooooo dont:(
Step-by-step explanation:
Answer:
56$
Step-by-step explanation:
40% of 20 = 8 - 20 = 12 times 3 = 36+20=56
<span>In an algebraic expression, terms are the elements separated by the plus or minus signs. This example has four terms, <span>3x2</span>, 2y, 7xy, and 5. Terms may consist of variables and coefficients, or constants.</span>
<span>Variables
In algebraic expressions, letters represent variables. These letters are actually numbers in disguise. In this expression, the variables are x and y. We call these letters "variables" because the numbers they represent can vary—that is, we can substitute one or more numbers for the letters in the expression.</span>
<span>Coefficients
Coefficients are the number part of the terms with variables. In <span>3x2 + 2y + 7xy + 5</span>, the coefficient of the first term is 3. The coefficient of the second term is 2, and the coefficient of the third term is 7.</span>
If a term consists of only variables, its coefficient is 1.
<span>Constants
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value. In the expression <span>7x2 + 3xy</span> + 8 the constant term is "8."</span>
<span>Real Numbers
In algebra, we work with the set of real numbers, which we can model using a number line.</span>