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arsen [322]
3 years ago
6

the ratio of the number of text Messages sent by Lucas to the number of text Messages sent by his sister is 3 to 4. Lucas sent 1

8 messages. how many text Messages did his sister send
Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

24

Step-by-step explanation: Divide 18 by 3 and you get 6, that's how many more times greater the amount. Then multiply 6 by 4 to get 24

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The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d
skelet666 [1.2K]

Answer:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(30,7.8)  

Where \mu=30 and \sigma=7.8

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

P(X>a)=0.80   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

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=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

8 0
3 years ago
What is the difference between the range of the electoral votes per state and the modal number of electoral votes in the followi
-Dominant- [34]
The difference is 45.

The modal number of the electoral votes is 5 because it appears the most.

The range of the electoral votes is 55 - 5 = 50 (Highest minus the lowest).

The difference between the two is found by subtracting them.
50 - 5 = 45
6 0
3 years ago
Read 2 more answers
Which equation is equivalent to 3x – 4y = 8?
malfutka [58]

solve for y by subtracting 3x from each side

-4y = -3x+8

divide by -4

y = 3/4 x -2

8 0
3 years ago
The sector of a circle with a 12-inch radius has a central angle measure of 60°. What is the exact area of the sector in terms o
goldfiish [28.3K]
75.3982237 inches squared is the answer, round it to whatever decimal place your asked to.
3 0
3 years ago
4. Find the value of k, if x = 2, y=1 is a solution of the equation 2x + 3y=k.​
icang [17]

Answer:

k=7

Step-by-step explanation:

first, plug in the given values

2x+3y=k --> 2(2)+3(1)=k

-->4+3=k

-->7=k

k=7

3 0
3 years ago
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