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irakobra [83]
3 years ago
14

Find f(-3). f(x) = 4(2)^x

Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0
Answer:

D - 1/2

Explanation:

f(-3) = 4(2)^-3

f(-3) = 4 • 1/8

f(-3) = 1/2
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Macbeth and lady macbeth's "roles in the murder" of king duncan. how do these roles inform the kind of characters they are?
Stells [14]
<span>Lady Macbeth's role in the murder of King Duncan lets you know immediately that this character is manipulative and cutthroat and is always willing to seize any opportunity for power. Unlike her husband who desires power but does not have the wherewithal to seize unless he believes he has some noble purpose to do so and this lets the reader know that he is gullible and cowardly.</span>
8 0
3 years ago
A teacher of statistics wants to know if a new teaching methodology that includes IT is efficient in terms of increased average
iragen [17]

Answer:

The answer is 0.31

Step-by-step explanation:

<u>Old Method                                       New Method                          .</u>

Mean                      73.5625                  Mean            75.70588

Standard Error        3.143736             Standard Error  2.923994

Median                    72                          Median            75

Mode                       90                          Mode               64

Standard deviation  12.57494           Standard deviation 12.05594

Sample Variance     158.1292            Sample Variance     145.3456

Kurtosis                     -1.14544              Kurtosis                   -0.76646

Skewness                 0.171025             Skewness                0.091008

Range                       39                        Range                      41

Minimum                   55                        Minimum                 56

Maximum                  94                        Maximum                 97

Sum                          1177                        Sum                        1287

Count                         16                         Count                      17

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: μNew< μOld

Alternative hypothesis: μNew > μOld

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the mean difference between sample means is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a two-sample t-test of the null hypothesis.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE=\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } \\\\SE=4.29

DF = 31

t = \frac{(x_1-x_2)-d}{SE} \\\\t = - 0.4997

where s1 is the standard deviation of sample 1, s2 is the standard deviation of sample 2, n1 is the size of sample 1, n2 is the size of sample 2, x1 is the mean of sample 1, x2 is the mean of sample 2, d is the hypothesized difference between population means, and SE is the standard error.

The observed difference in sample means produced a t statistic of - 0.499. We use the t Distribution Calculator to find P(t < - 0.499) = 0.311

Therefore, the P-value in this analysis is 0.311.

Interpret results. Since the P-value (0.311) is greater than the significance level (0.05), we cannot reject the null hypothesis.

From the above test we do have sufficient evidence in the favor of the claim that new method is efficient than the old method.

3 0
3 years ago
Two glasses of milk and 3 snack bars have a total of 61 carbohydrates​ (carbs), and 4 glasses of milk and 2 snack bars have a to
Sloan [31]

Answer:

24 carbohydrates

Step-by-step explanation:

Represent Snack bars with S and Milks with M.

So, we have:

2M\ and\ 3S\ = 61

and

4M\ and\ 2S\ = 70

Required: Solve for M and S

Convert the given expressions to mathematical expressions:

2M + 3S = 61 --- (1)

4M + 2S = 70 --- (2)

Multiply the first equation by 2

2M + 3S = 61 --------- * 2

4M + 6S = 122 --- (3)

Subtract (1) from (3)

4M - 4M + 6S - 2S = 122 - 70

4S = 52

Solve for S

S = 52/4

S = 13

Substitute 13 for S in (2)

4M + 2S = 70

4M + 2 * 13 = 70

4M + 26 = 70

Solve for 4M

4M = 70 - 26

4M = 44

Solve for M

M = 44/4

M = 11

1 glass of milk and 1 snack bar = S + M

S + M = 13 + 11

S + M = 24

6 0
3 years ago
6^3×6^10<br><br>a.36^13<br>b.6^13<br>c.6^30<br>d.18^30​
Nookie1986 [14]

Answer:

B

Step-by-step explanation:

You can use the product of exponents which is adding the exponents together and so 3+10=13 so 6^13 is answer choice b.

5 0
3 years ago
Find the value of each trigonometric ratio
JulijaS [17]

Answer:

Step-by-step explanation:

cos A = 36/45 = 4/5 answer is C

sin A = 27/45= 3/5

tan A =  27/36= 3/4

sec A = 45/36= 5/4

csc A = 45/27= 5/3

cot A = 36/27= 4/3

7 0
3 years ago
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