Given sec θ = -2/4, find tan θ. Please explain with the Pythagorean theorem.

Answer:

C is correct answer.

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Answer: The number of hours a student should spend on their homework to expect a score of 76 on the quiz.

Answer:

x

=

5

, so after five months the costs would equal each other

Step-by-step explanation:

Answer:

1246 sq cm

Step-by-step explanation:

First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.

34 x 39 = 1326

10 x 8 = 80

1326 - 80 = 1246

Answer:

if you're trying to find the slope, it is (3, -8) were you looking for the slope?

Step-by-step explanation:

i hope this helps, have a great day:)

Answer: the answer is x =3, y = -8

Step-by-step explanation:

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

Answer:

Diana's score is better.

Step-by-step explanation:

In Diana case :

Score = 92

Mean score , μ = 71

Standard deviation σ = 15

So,

P( x ≥ 92 ) = 1 - P( x ≤ 92 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )

                = 1 - P( z ≤ 1.4 )

                = 1 - 0.9192

                = 0.0808 = 8.08 %

⇒P( x ≥ 92 ) = 8.08%

∴ we get

Diana score is > 91.92% other students in the class.

In Micheal case :

Score = 688

Mean score , μ = 493

Standard deviation σ = 150

So,

P( x ≥ 688 ) = 1 - P( x ≤ 688 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )

                = 1 - P( z ≤ 1.3 )

                = 1 - 0.9032

                = 0.0968 = 9.68 %

⇒P( x ≥ 688 ) = 9.68%

∴ we get

Micheal score is > 90.32% other students in the class.

From both scores , we can conclude that

Diana's score is better.

Answer:a

Step-by-step explanation: you can clearly see that the points are going up

As time went by, the average temperature tended to increase.

A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

Given is the graph shown below displays the change in the average temperature of the world over time.

The scatterplot has a positive correlation. This means that as time went by, the average temperature tended to increase.

Therefore, as time went by, the average temperature tended to increase.

To solve more questions on scatterplots, visit the link below -

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9514 1404 393

Answer:

  see below

Step-by-step explanation:

Add 3 to both sides of the inequality to find the solution.

  x -3 +3 > -2 +3

  x > 1

This graphs as an open circle at x=1, with shading to the right.

lwoeofpxs kfi wn ee's osoakem

Step-by-step explanation:

owlekdx9zinqrnxiz n.v w w d f ds no wkw

Answer:

20%

a) a train goes 60 mph for 180 miles

50 miles

Step-by-step explanation:

6/30=.20 = 20%

180 miles divided by 60 mph=3 hours

80%x = 40 miles

.8x=40

.8x/.8=40/.8

x=50 miles

Answer: the sum is 1301

Answer:

1301

Step-by-step explanation:

1005 + 296 = 1301

Answer:

4

Step-by-step explanation:

since they are both on the same y coordinate, you have to count from -4 to 0, and that is 4

Answer:

[tex]Rate = 9(t+1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 9x^2 - 2[/tex]

[tex]Interval = [1,t][/tex]

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [1,t][/tex]

So, we have:

[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]

Solve for f(t) and f(1)

[tex]f(t) = 9t^2 - 2[/tex]

[tex]f(1) = 9*1^2 - 2[/tex]

[tex]f(1) = 9 - 2[/tex]

[tex]f(1) = 7[/tex]

So, we have:

[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]

[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]

Factorize:

[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]

Apply difference of two squares

[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]

[tex]Rate = 9(t+1)[/tex]

Answer:

hope it may help you

Step-by-step explanation:

n and n+14 are the numbers or you can use n and n-14; either way

n+n+14=58

2n+14=58

2n=58-14

2n=44

n=22 and n+14=22+14=36

22 and 36 are the numbers

or,...

58/2=29

29 and 29

28 and 30

27 and 31

26 and 32

25 and 33

24 and 34

23 and 35

22 and 36 answer

Answer:

Option A is your answer

Answer:

no

Step-by-step explain why

because they have to be the same numbers

Answer:

Image attached

It is unlikely that the cat will be saved as the firefighters will be able to reach only up to 33 mm from the ground.

A right angled triangle is a triangle with one of its angle as 90 degree and Pythagoras theorem can be applied to determine the sides of the triangle.

The ladder height = 35 m

The horizontal distance of the ladder = 12m

The height at which the cat is stuck is 39 m

By Pythagoras theorem , the height up to which the firefighters can reach can be determined

h = [tex]\rm \sqrt {35^2 - 12^2}[/tex]

h = 32.8 ≈ 33 m

Therefore the height up to which the fire fighters can reach is 33m and the height at which the cat is stuck is at 39 m , the likelihood of the cat getting saved is not there.

To know more about Right angle Triangle

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Answer:

$7000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.6%/100 = 0.016 per year,

then, solving our equation

P = 224 / ( 0.016 × 2 ) = 7000

P = $ 7,000.00

The principal required to

accumulate interest of $ 224.00

on a rate of 1.6% per year for 2 years is $ 7,000.00.

Answer: 0.75 appex

Step-by-step explanation:

The sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]

Where s is the standard deviation.

n is the sample size.

[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

From the data the margin of error = (0.78 - 0.72)/2

MOE = 0.03

98% Confidence interval for a sample proportion:

n - 0.03 = 0.72

n + 0.03 = 0.78

The interval is (0.72, 0.78)

The sample proportion = 0.75

Thus, the sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

Learn more about the confidence interval here:

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Answer:

5 hours

Step-by-step explanation:

divide 450 by 3 which is 150  1h=150

now we want to know how many hours

if 1h=150 then how many hours what you do is you divide 750/150 which is 5

so 5 hours to lay 750 bricks

pls brainliest i haven't got one

have a good day hope this helped :)

Answer:

Step-by-step explanation:

Given

The two sides and the included angle - SAS

Correct option is

Answer:

dont know this one my apologies

Answer:

x=12, y=9, z=7, w=3

Step-by-step explanation: