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wlad13 [49]
3 years ago
12

The function ​f(x)​ is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable

.
What is the practical domain for the function f(x)?




A. all positive integers that are multiples of 5

B. all whole numbers

C. all positive integers

D. all real numbers

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer:

B

Step-by-step explanation:

The domain is all possible values of x.  Here, x is the number of $5 nontaxable items.  So x must be an integer, and it can't be negative.  It is possible for x to be 0.  So x is all whole numbers.

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The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

Z = \frac{X - \mu}{\sigma}

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
Solve for x x + 47 = -23
givi [52]
X = -23 - 47 
x = -70
-70 + 47 = -23
7 0
3 years ago
Read 2 more answers
A train travels 91 kilometers in 2 hours, and then 97 kilometers in 3 hours. What is its average speed?
Andrei [34K]
I think the average spend is 11 km. i don't know for sure..
6 0
2 years ago
If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
three friends go to the movies and split the total cost between them. the total cost is $13.05 for movie tickets and $10.26 for
lakkis [162]
Total cost = $13.05 + 10.26
= $23.31
Indivdual pay = $23.31 / 3
= $7.77 each
6 0
3 years ago
Read 2 more answers
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