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pishuonlain [190]
3 years ago
7

Someone please help! I’m very confused on this :(

Mathematics
1 answer:
ELEN [110]3 years ago
7 0
(91.1061mm)First you need to find the hypotenuse which is the missing length on the triangle 20squared plus 21 squared is 841 then the square root of that (29) so the diameter is 29 multiply that by pi the you get the circumference 91.1061
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Which ordered pair is the solution to the system of equations?
postnew [5]
So first solve for x and y
add the 2 equations together

2x+x+y-y=-8-4
3x=-12
divide by 3
x=-4
subsitute
-4-y=-4
addd 4 to both sdies
-y=0

the solution is (x,y)  (-4,0) or D
7 0
3 years ago
Read 2 more answers
A family has annual loan payments equal to 30% of their annual income. During the year, their loan payments total $15,680. What
soldier1979 [14.2K]
 First, set up a ratio: \frac{30}{100} =  \frac{15,680}{x}
The first fraction is the percentage (30% and \frac{30}{100} are the same thing) and the second is the loan payment (which is equal to the 30 in the first fraction) over their annual income (x).
 First you divide $15,680 by 30, then multiply that quantity by 100. The value calculated then replaces x in your second fraction: \frac{30}{100} =  \frac{15,680}{52,266.67}
7 0
3 years ago
Please help! math! (17 points was max) PICTURE ATTACHED
mario62 [17]

Step-by-step explanation:

angle A and Angle D are congruent. as are Angle C and Angle F.

because you have two pairs of congruent angles this proves the triangles are similar using AA Theorem.

I couldn't read the 3rd question. if you post as a comment I can look at it better.

6 0
3 years ago
A consensus forecastis the average of a large number of individual analysts’ forecasts. Suppose the individual forecasts fora pa
Crank

Answer:

a) P(X\geq 3.5)=P(\frac{X-\mu}{\sigma}\geq \frac{3.5-\mu}{\sigma})=P(Z\geq \frac{3.5-5.0}{1.2})=P(Z\geq -1.25)

And we can find this probability using the z table or excel

P(Z \geq

b) P(X\leq 6.0)=P(\frac{X-\mu}{\sigma}\leq \frac{6.0-\mu}{\sigma})=P(Z\leq \frac{6.0-5.0}{1.2})=P(Z\leq 0.833)

And we can find this probability using the z table or excel:

P(Z \leq

c) P(3.5

And we can find this probability on this way:

P(-1.25

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1.25

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

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

X \sim N(5.0,1.2)  

Where \mu=5.0 and \sigma=1.2

We are interested on this probability

P(X\geq 3.5)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X\geq 3.5)=P(\frac{X-\mu}{\sigma}\geq \frac{3.5-\mu}{\sigma})=P(Z\geq \frac{3.5-5.0}{1.2})=P(Z\geq -1.25)

And we can find this probability using the z table or excel

P(Z \geq

Part b

We are interested on this probability

P(X\leq 6.0)

P(X\leq 6.0)=P(\frac{X-\mu}{\sigma}\leq \frac{6.0-\mu}{\sigma})=P(Z\leq \frac{6.0-5.0}{1.2})=P(Z\leq 0.833)

And we can find this probability using the z table or excel:

P(Z \leq

Part c

P(3.5

And we can find this probability on this way:

P(-1.25

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1.25

8 0
3 years ago
PLEASE ANSWER ASAP<br><br>Find the value of x in each case:
Triss [41]
158+ 148+ 32 + x = 360
x= 22
3 0
3 years ago
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