All categories

3 years ago

In (Triangle)QRS, Please explain

Mathematics

1 answer:

egoroff_w [7]3 years ago

7 0

Answer: Triangle QRS is an isosceles triangle because QR = RS.

. Step-by-step explanation: Find the length of each side of the triangle using the formula for calculating the distance between two points.

Step-by-step explanation:

You might be interested in

Find the value of Q. No links plz.

Crank

Answer:

(rounded)17.2=Q

Step-by-step explanation:

Q= 13/cos41

4 0

3 years ago

Number of rides marine can go on ?

saul85 [17]

Answer:

Check step by step explanation

Step-by-step explanation:

a) Let x represent the amount of rides she takes, the 6 and 2.5 represent the amount of money required to enter

A(x) = 1.5x + 6

B(x) = 2x + 2.5

b) You can find this by making the 2 equations equal to each other and solving for x

1.5x + 6 = 2x + 2.5

3.5 = .5x

7 = x

7 rides make them equal cost

c) Plug in 5 for each of the equations and find out which one is cheaper

A(5) = 1.5 * 5 + 6

A(5) = $13.50

B(5) = 2 * 5 + 2.5

B(5) = $12.50

Carnival B is cheaper

4 0

4 years ago

If you help me I will love you forever

joja [24]

Answer:

I think the answer would be 22.15 but I'm not really sure.

7 0

3 years ago

Read 2 more answers

Please solve the eqution<br> Cos4x + cos2x - 2 =0

horrorfan [7]

cos4x = cos2x

We know that:

cos2x = 1-2cos^2 x

==> cos4x = 1-2cos^2 (2x)

Now substitute:

==> 1-2cos^2 (2x) = cos2x

==> 2cos^2 (2x) + cos2x - 1 = 0

Now factor:

==> (2cos2x -1)(cos2x + 1) = 0

==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3

==> x1= pi/6 , 7pi/6

==> x1= pi/6 + 2npi

==> x2= 7pi/6 + 2npi

==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.

6 0

3 years ago

There are 48 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time

Stella [2.4K]

Answer:

a) 64.06% probability that he is through grading before the 11:00 P.M. TV news begins.

b) The hardness distribution is not given. But you would have to find s when n = 39, then the probability would be 1 subtracted by the pvalue of Z when X = 51.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n trials, the mean is $\mu*n$ and the standard deviation is $s = \sigma\sqrt{n}$

In this question:

$n = 48, \mu = 48*5 = 240, s = 4\sqrt{48} = 27.71$

These values are in minutes.

(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

From 6:50 PM to 11 PM there are 4 hours and 10 minutes, so 4*60 + 10 = 250 minutes. This probability is the pvalue of Z when X = 250. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{250 - 240}{27.71}$

$Z = 0.36$

$Z = 0.36$ has a pvalue of 0.6406

64.06% probability that he is through grading before the 11:00 P.M. TV news begins.

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 39 pins is at least 51?

The hardness distribution is not given. But you would have to find s when n = 39(using the standard deviation of the population divided by the square root of 39, since it is not a sum here), then the probability would be 1 subtracted by the pvalue of Z when X = 51.

5 0

3 years ago