Yearly travel expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard deviation equal to $500. What is the probability of travel expenses being greater than $4,000?
Answers
Answer:
The probability is 0.02275
Step-by-step explanation:
We shall first find the z-score here
z-score = (x -mean)/SD
from the question;
x = 4,000
mean = 3,000
SD = 500
z-score = (4,000-3,000)/500 = 1000/500 = 2
So the probability we want to calculate is;
P(z > 2) = 0.02275
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A polling company conducts an annual poll of adults about political opinions. The survey asked a random sample of 419 adults whether they think things in the country are going in the right direction or in the wrong direction, 54% said that things were going in the wrong direction. How many people would need to ve surveyed for a 90% confidence interval to ensure the margin or error would be less than 3%?
b. How far does she run on day 19?
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Then that would be
But we need positive integers so we would have
Check work:
5² + 7² = 25 + 49 = 74.
So our integers would be 5 and 7.
Hope this helps.
Let’s use 5 and 7.
5•5=25
7•7=49
49+25=74
The integers are 5 and 7. The way I found this was by thinking of 9 and 11 at first. I knew that it would be entirely way too much, but 3 and 1 would be too little. 5 and 7 fit in the middle of those two samples.
Your answer is 5 and 7.
b. a savings and spending plan
c only a spending plan
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What is a budget? c only a spending plan
What is a budget?
A budget is an estimate of revenue and expenses over a period of time. It is also the process of creating a plan to spend your money. This spending plan is called a budget.
Having a budget allow one to determine in advance whether you will have enough money to do the things you need to do or would like to do.
Therefore, a budget is only a spending plan.
Learn more about budget here : brainly.com/question/6663636
solve for x
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Explanation: in the photo
Answer:
a system of equations , as below
Step-by-step explanation:
4y-x
2x-4
x+y
use any two of the above to find a formula for one of the variables since they are all equal to each other.. btw.. it makes it much easier .. that they are all equal. :)
2x-4=x+y ⇒ x-4=y use this to plug into the y in the top formula
4(x-4)-x=2x-4 ⇒ 4x-16-x=2x-4 ⇒ 3x-16=2x-4 ⇒ x=12 yay! ;) now plug in 12 for x
2(12)-4=(12)+y ⇒ 24-4 = 12 +y ⇒ 8=y yay ! now we have both x and y
x=12
y= 8
this checks by plugging in the two number found for x & y (btw I had to try this about 4 times ) :P I kept messing up the algebra which is soooo easy to mess up.
Answers
Answer:
64
Step-by-step explanation:
because 32 x 2 = 64
Answer:
32*2=64 She had 64 treats
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The scale factor of the dilation is approximately 1.25.
To find the scale factor of the dilation, we need to compare the corresponding side lengths of the original figure and the dilated figure.
Let's consider the two corresponding side lengths:
Original side: EN = 16 units
Dilated side: BN = 20 units
The scale factor (k) of the dilation is the ratio of the corresponding side lengths in the dilated figure to the original figure. It can be calculated using the formula:
Scale factor (k) = Dilated side length / Original side length
Substituting the given values:
k = 20 / 16 ≈ 1.25
for such more question on scale factor
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