1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
2 years ago
10

Verify: sec^2x+tan^2x=2sec^2x-1

Mathematics
1 answer:
Jlenok [28]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan²x = sec²x - 1

Consider left side

sec²x + tan²x

= sec²x + sec²x - 1

= 2sec²x - 1

= right side , thus verified

You might be interested in
Mr.Church had 3 muffins he sold 2 but then baked 6 more and sold 4 more how many muffin did he not sell.
9966 [12]

He failed to sell three muffins

3 0
3 years ago
Read 2 more answers
Find the value of X <br> WILL MARK BRAINLIEST IF CORRECT!
goldfiish [28.3K]

Answer:

x = 52

Step-by-step explanation:

This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.

(x - 12) + 50 = 90

1. Subtract 50 from both sides of the equation.

(x - 12) = 40

2. Add 12 from both sides of the equation

x = 52

The value of x is 52.

3 0
2 years ago
Read 2 more answers
What's 412 divided by 84
atroni [7]
412/84 = 4 R 76 <- you will have a remainder
8 0
3 years ago
Read 2 more answers
A marketing research firm wishes to compare the prices charged by two supermarket chains—Miller’s and Albert’s. The research fir
AVprozaik [17]

Answer:

a) F=\frac{s^2_2}{s^2_1}=\frac{1.84^2}{1.4^2}=1.727 \approx 1.73

b) For this case since we have a two tailed test we have two critical values, and we can find the two values since we need that on each tail the area would be \alpha/2 =0.025, the distribution is the F with 9 df for the numerator and denominator, and we can use the following excel codes to find the critical values:

"=F.INV(0.025,9,9)"

"=F.INV(1-0.025,9,9)"

The two critical values are 0.248 and 4.026, so the rejection zone would be: F>4.026 \cup F since our calculated value is not on the rejection zone we fail to rejec the null hypothesis

Step-by-step explanation:

Data given and notation  

n_1 = 10 represent the sampe size for the Miller's Stores

n_2 =10 represent the sample size for the Albert's stores

\bar X_1 =121.92 represent the sample mean for Miller's store

\bar X_2 =114.81 represent the sample mean for Albert's store

s_1 = 1.4 represent the sample deviation for the Miller's store

s_2 = 1.84 represent the sample deviation for the Albert's stores

s^2_2 = 12.25 represent the sample variance for the utility stocks

\alpha=0.05 represent the significance level provided

Confidence =0.95 or 95%

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

F=\frac{s^2_2}{s^2_1}

Solution to the problem  

System of hypothesis

We want to test if the variation for th two groups is the same, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \new \sigma^2_2

a) Calculate the statistic

Now we can calculate the statistic like this:

F=\frac{s^2_2}{s^2_1}=\frac{1.84^2}{1.4^2}=1.727 \approx 1.73

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_1 -1 =10-1=9 and for the denominator we have n_2 -1 =10-1=9 and the F statistic have 9 degrees of freedom for the numerator and 9 for the denominator. And the P value is given by:

P value

p_v =2*P(F_{9,9}>1.727)=0.428

And we can use the following excel code to find the p value:"=2*(1-F.DIST(1.727,9,9,TRUE))"

b) Critical value

For this case since we have a two tailed test we have two critical values, and we can find the two values since we need that on each tail the area would be \alpha/2 =0.025, the distribution is the F with 9 df for the numerator and denominator, and we can use the following excel codes to find the critical values:

"=F.INV(0.025,9,9)"

"=F.INV(1-0.025,9,9)"

The two critical values are 0.248 and 4.026, so the rejection zone would be: F>4.026 \cup F since our calculated value is not on the rejection zone we fail to rejec the null hypothesis

Since our calcu

Conclusion

Since the p_v > \alpha we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the two deviations are different at 5% of significance.  

8 0
3 years ago
The measure of two angles are shown in the
madam [21]

Answer:

The measure of two angles are shown in the diagram. 4x - 11 2x + 5 Which equation can be used to find the value of x? A. 6x - 6 = 180 X. 6 x + 64 = 180 B. 6x - 6 = 360 D. 6x + 84 = 180

हिंदी में खोजें

7 0
3 years ago
Other questions:
  • Factor completely<br> 16x^2 + 24x + 9
    5·2 answers
  • If the sum of four consecutive numbers is n, what is the first one?
    6·1 answer
  • I need help on my mwr plz ohh help me
    14·1 answer
  • How do you find m in a slope word problem?
    7·2 answers
  • Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis: y=x6, y=1 abo
    11·1 answer
  • A ladder leans against the side of a house. The angle of elevation of the ladder is 65° when the bottom of the ladder is 12 ft f
    15·1 answer
  • PLEASE HELP!!<br><br> What is the y-intercept?
    9·2 answers
  • Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minut
    15·1 answer
  • Which inequality has an open circle when it is graphed on a number line?
    13·1 answer
  • Solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!