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Fiesta28 [93]
3 years ago
9

PLEASE HELP WITH THESE QUESTIONS! WILL GIVE 100 POINTS!

Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0

Answer:

1. 1/6 2. 80

Step-by-step explanation:

Mama L [17]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
Please help me with these
Alex Ar [27]
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.

When we are attempting limits questions, there are several tests we attempt first.

1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)
\lim_{x \to 0} (\frac{sinx}{x}) = 1
\lim_{x \to 0} (\frac{tanx}{x}) = 1
4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.

For example:

1) \lim_{x \to 0}\frac{\sqrt{x} - 5}{x - 25}

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>

Substitute x = 0 to the function.
\frac{\sqrt{0} - 5}{0 - 25}
= \frac{-5}{-25}
= \frac{1}{5}

<em>Method 2: Rearranging the function
</em>

We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.

\lim_{x \to 0}\frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5)(\sqrt{x} + 5)}
= \lim_{x \to 0}\frac{1}{(\sqrt{x} + 5)}}
= \frac{1}{5}

Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
8 0
3 years ago
At a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump
Aleks04 [339]

Answer:

0.150,0.595

Step-by-step explanation:

Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.

               Regular gas          Midgrade         Premium gas      Total

Percent      40                            35                     25                   100

atleast 30   30%                         50%                 60%

a) The   probability that the next customer pumps premium gas and pays at least $30

=0.25*0.60\\=0.150

b)        the probability that the next customer pays at least $30

= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and       pays atleast 30%)

=0.40*0.30+0.35*0.50+0.25*0.60\\=0.12+0.175+0.30\\=0.595                  

6 0
3 years ago
Perform the indicated operation. 8/a - 6/a + 7/a
Jlenok [28]

Answer:

9/a

Step-by-step explanation:

8/a - 6/a + 7/a

Since the denominators are the same, we can add the numerators

8-6+7 =9

Then put it over the common denominator a

9/a

3 0
3 years ago
Anna saved $20 in a jar each month for 2/1/2 years. She spent 75% of her savings on a computer. How much money did Anna have lef
strojnjashka [21]
2 and 1/2 years = 30 months

20 \times 30 = 600
100\% - 75\% = 25\%
600 \times 25\% = 150
The answer is A. $150

Hope this helps.
6 0
3 years ago
What is the value of the expression (x^3y^2)^0
Orlov [11]

Answer:

1

Step-by-step explanation:

6 0
3 years ago
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