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zepelin [54]
2 years ago
11

A calculator is broken so that the only keys that still work are the $\sin$, $\cos$, $\tan$, $\cot$, $\arcsin$, $\arccos$, and $

\arctan$ buttons. Assume that the calculator does real number calculations with infinite precision. All functions are in terms of radians, and you may assume all the values of $x$ below are positive. (a) Find, with proof, a sequence of buttons that will transform $x$ into $\frac{1}{x}$ . (b) Find, with proof, a sequence of buttons that will transform $\sqrt x$ into $\sqrt{x 1}$. (c) The display initially shows $1$. Prove that there is a sequence of buttons that will produce $\frac{3}{\sqrt{5}}$.
Mathematics
1 answer:
miskamm [114]2 years ago
7 0
What is this check the q again
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An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
seraphim [82]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

4 0
3 years ago
What number would complete the pattern below? <br><br>16 4 12 36 9 27 44 11 __ 
Illusion [34]
16 - 12 =4 
 36 - 27 = 9
 44 - 33= 11
<span> the answer is 33</span>
4 0
3 years ago
Read 2 more answers
in Marlas school 6/15 of the students do not ride the bus to school. of these students 5/9 walk to school. what fraction of the
Debora [2.8K]

Answer:

The fraction of the students that walk in in Marla's school  is equal to \frac{2}{9}

Step-by-step explanation:

Let

x------> the total students in Marla's school

we know that

The number of students that not ride the bus is equal to

\frac{6}{15}x\ students

The number of students that walk to the school is equal to

\frac{6}{15}x*\frac{5}{9}=\frac{2}{9}x\ students

therefore

The fraction of the students that walk in in Marla's school  is equal to \frac{2}{9}

4 0
3 years ago
Read 2 more answers
Negative 3/5 ×17 5/8=
ycow [4]

Answer:

-10.575

Step-by-step explanation:

4 0
3 years ago
Which equation of the line passes through the points (2, −1) and (4, 7)
Zepler [3.9K]

Answer:

Please see the notes below and let me know if you have any questions

Step-by-step explanation:

3 0
2 years ago
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