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Sedaia [141]
2 years ago
6

What is the distance from the origin to point P graphed on the complex plane below

Mathematics
1 answer:
anastassius [24]2 years ago
8 0

Answer:

b) √29

Step-by-step explanation:

Given: The origin is (0, 0), the point P is (2, -5).

We need to use the distance formula.

Distance formula =

Here x2 = 2, x 1 = 0, y1 =0, y2 = -5

Distance =

= √(4 + 25)

= √29

The answer is b) √29

Hope you will understand the concepts

Thank you!!

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Alex skipped a jump rope 50 times every minute as shown by this table. x equals the number of minutes, and y equals the
KIM [24]

Answer:

Y = 50x

Since every minute he jumps 50 times, we multiply 50 by the amount of minutes (x)

6 0
2 years ago
The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi
Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy =  0.5

As per given , we have

Null hypothesis : H_0: p\leq0.5

Alternative hypothesis :  H_a: p>0.5

Since H_a is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: \hat{p}=\dfrac{239}{291}\approx0.82

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} , where n is sample size ,  \hat{p} is sample proportion and p is the population proportion.

\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for  0.01 significance level = z_{0.01}=2.326

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0
3 years ago
Use the graph of the function y = 4' to answer the
dlinn [17]

Answer:

the domain of the function is negative infinity to positive infinity because an exponent can be any real number

Step-by-step explanation:

4 0
3 years ago
How does this equation: 1+-✓17/-4 equal -1+-✓17/4.
maxonik [38]
These are not equal.
Try  checking  it out. using ur calculator 
8 0
3 years ago
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour
natali 33 [55]
We need to calculate a total TIME.  
Let the time required to cover distance d at 20 mph be x.  d is the ONE WAY distance, not the total distance traveled (which would be 2d).

Remember the formula d=rt:  the distance traveled equals the rate times the time.  Here, d = rx, and thus x = d/r  = d/(20mph)

Let's begin by recognizing  that       d(going) = d(returning)
Then                                            (20 mph)x   = 6 + (16 mph)x

                                                      (20 mph)x - (16 mph)x = 6 miles
Then:                                                    (4 mph)x = 6 miles
or:                                                             x = 1.5 hours

It takes the bird 1.5 hours at 20 mph to cover distance d, which is 30 miles.
Thus, the total time spent flying is 1.5 hours (going) and [1.5 hours + (6 miles)/(16 mph) returning:

                            1.5 hours + 1.5 hours + 0.375 hours = 3.375 hours total.

The total distance covered is 2d, or 2(30 miles) = 60 miles.

It took me a while and a lot of experimentation to arrive at these results.  Please, if my arguments here are not clear, ask questions.
5 0
3 years ago
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