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Katena32 [7]
2 years ago
5

Lim of x^2-3sinx/x as x approaches 0

Mathematics
1 answer:
sladkih [1.3K]2 years ago
3 0
Use parentheses please!!
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Simplify −2xy + 3x − 2xy + 3x and can you explain the answer?
irina1246 [14]

Answer:

 -4xy+6x

Step-by-step explanation:

Given : Expression =  -2xy+3x-2xy+3x

Simplifying the expression :

Step 1. Write the expression =   -2xy+3x-2xy+3x

Step 2.  Add the similar elements:  3x+3x=6x

          =  -2xy-2xy+6x

Step 3. Add the similar elements:  -2xy-2xy=-4xy

           = -4xy+6x

Therefore, -4xy+6x is the simplified form of  -2xy+3x-2xy+3x

8 0
2 years ago
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Please help me work this problem
mario62 [17]

Answer:

13a

Step-by-step explanation:

9a + 3a + a = 13a

7 0
3 years ago
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An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization w
zzz [600]

Answer:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021

df=n-1=12-1=11

p_v =P(t_{(11)}>2.021) =0.0342

If we compare the the p value with the significance level provided \alpha=0.1, we see that p_v < \alpha, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x \leq 0

Alternative hypothesis: \mu_y -\mu_x >0

Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017

The first step is calculate the difference d_i=y_i-x_i and we obtain this:

d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{11.8}{12}=0.983

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =1.685

We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021

The next step is calculate the degrees of freedom given by:

df=n-1=12-1=11

Now we can calculate the p value, since we have a right tailed test the p value is given by:

p_v =P(t_{(11)}>2.021) =0.0342

If we compare the the p value with the significance level provided \alpha=0.1, we see that p_v < \alpha, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

4 0
2 years ago
U have $77 in your bank account than you write a check for $100 at the store how many do I have now? Please show work
Allisa [31]

Answer:

$-23

77 - 100 = -23

8 0
3 years ago
For triangle S F C, angle S is 90 degrees, angle F is 49 degrees, and angle C is 41 degrees. For triangle Z P K, angle Z is 41 d
leva [86]

Answer:

I'm pretty sure he or she are right^^idk

Step-by-step explanation:

7 0
3 years ago
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