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erastovalidia [21]
3 years ago
12

In the diagram, AC=BD. Show that AB=CD

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0
I believe you just have to draw 2 little lines in between AB and CD.
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The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 5 minutes and a stand
erastovalidia [21]

Answer:

z=0.524

And if we solve for a we got

a=5 +0.524*2=6.048 \approx 6.05 min

Step-by-step explanation:

Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:

X \sim N(5,2)  

Where \mu=5 and \sigma=2

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.3   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.524

And if we solve for a we got

a=5 +0.524*2=6.048 \approx 6.05 min

3 0
3 years ago
Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and stand
Black_prince [1.1K]

Answer:

Step-by-step explanation:

The data is written wrongly. The correct data is:

42, 40, 38, 31, 22, 19, 17, 16, 15.9, 15.0

Range = largest value - smallest value

Range = 42 - 15 = 27

n = 10

The mean of the set of data given is

Mean = (42 + 40 + 38 + 31 + 22 + 19 + 17 + 16 + 15.9 + 15.0)/10 = 25.59

Standard deviation = √(summation(x - mean)²/n

Variance = Summation(x - mean)²/n =

Summation(x - mean)² = (42 - 25.59)^2 + (40 - 25.59)^2 + (38 - 25.59)^2 + (31 - 25.59)^2 + (22 - 25.59)^2 + (19 - 25.59)^2 + (17 - 25.59)^2 + (16 - 25.59)^2 + (15.9 - 25.59)^2 + (15.0 - 25.59)^2 = 1088.329

Variance = 1088.329/10 = 108.8329

Standard deviation = √variance = √(108.8329 = 10.43

8 0
3 years ago
An arts acedemy requires there to be 3 teachers for every 75 students and 6 tutors for every 75 students.How many tutors does th
JulsSmile [24]

They need 10 tutors if the academy has 120 students.

6 0
2 years ago
What is the answer to the question Mx+2nx=p for x
Anni [7]
Undistribute x
x(m+2n)=p
divide both sides by m+2n
x=\frac{p}{m+2n}
4 0
3 years ago
Read 2 more answers
tickets for the basketball game cost 14 each. If the sale of the tickets brought in 21,212 how many tickets were sold?
Lelu [443]
About 1515 tickets were sold
5 0
2 years ago
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