All categories

3 years ago

Angle is in standard position and (-5, -7) is a point on the terminal side of 0.

Mathematics

1 answer:

vfiekz [6]3 years ago

4 0

Answer:

Step-by-step explanation:

Don't use 0 as a substitute for θ. 0 is always 0.

cosθ = -5/(2√15)

secθ = 1/cosθ = -2√15/5

You might be interested in

Could some one help me please

solmaris [256]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Points P and Q ∈ MN , MP = 2, QN = 5 and MN = 12. The distance from M to the midpoint of PQ is: (A) 5.5 (B) 3 (C) 4.5 (D) 6

olga2289 [7]

Answer:

4.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the first five terms of the sequence. an=-n2+2n

Julli [10]

If your sequence is this

$an = - {n}^{2} + 2n \\ then \\ a1 = - 1 + 2 = 1 \\ a2 = - 4 + 4 = 0 \\ a3 = - 9 + 6 = - 3 \\ a4 = - 16 + 8 = - 8 \\ a5 = - 25 + 10 = - 15$

3 0

3 years ago

Read 2 more answers

Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample

Vedmedyk [2.9K]

Answer:

$P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The population proportion have the following distribution

$p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)$

And we can solve the problem using the z score on this case given by:

$z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}$

We are interested on this probability:

$P(0.26 \leq p \leq 0.43)$

And we can use the z score formula, and we got this:

$P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})$

$P(-2.726 \leq Z \leq 0.584)$

And we can find this probability like this:

$P(-2.726 \leq Z \leq 0.584)=P(Z$

7 0

3 years ago

victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. ap

kupik [55]

The <u>correct scale</u> is 1 in = 4 mi.

<u>Explanation</u>:

The scale tells us what a given measurement on the map equals in real-life distance.

The measurement on the map that we have is 2 inches, and it equals 8 miles:

2 in = 8 mi

This can also be written as 2/8. This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4. This is the same as
1 in = 4 mi.

6 0

3 years ago

Read 2 more answers