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mr_godi [17]
3 years ago
12

Find the length of AB

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

35.6 units

Step-by-step explanation:

By intersecting chords theorem:

10*x = 16*16

10x = 256

x = 256/10

x = 25.6

AB = 10 + x

AB = 10 + 25.6

AB = 35.6

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What is the standard deviation of the following data set rounded to the nearest tenth? 56 ,78 ,123 , 34, 67, 91, 20
quester [9]

Answer:

The standard deviation of the following data set is 32.2

Step-by-step explanation:

step 1

Find the mean

we have

[56,78,123,34,67,9,20]

Sum the data and divided by the number of elements

[56+78+123+34+67+91+20]/7=469/7=67

step 2

For each number: subtract the Mean and square the result

[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]

[121,121,3,136,1,089,0,576,2,209]

step 3

Work out the mean of those squared differences

[121+121+3,136+1,089+0+576+2,209]/7=1,036

This value is called the "Variance"    

step 4

Take the square root of the variance

standard\ deviation=\sqrt{1,036}=32.2

6 0
3 years ago
Triangle ABC contains the point A(5,2). Find the coordinates of A' after a reflection over the x-axis
Sholpan [36]

Answer:

Step-by-step explanation:

Should be 5,-2 OR NOT

4 0
4 years ago
Is my answer correct?
Alexandra [31]
Yes your answer would be correct!  :)
8 0
3 years ago
Read 2 more answers
Over the summer, Mr. Patel refilled a bird feeder 24 times using 6 cups of seed each time. A bag of seeds holds 32 cups. How man
Illusion [34]

Mr. Patel used 4.5 bags of seed

<em><u>Solution:</u></em>

Given that,

Over the summer, Mr. Patel refilled a bird feeder 24 times using 6 cups of seed each time

A bag of seeds holds 32 cups

1 bag of seed = 32 cups

Given that Patel refilled 24 times using 6 cups of seed each time

<em><u>Then, the number of cups used for the 24 times  is given as:</u></em>

6 \times 24 = 144

<em><u>Now we have to find the bags of seed needed for 144 cups</u></em>

Let "x" be the number of bags of seed for 144 cups

From given,

1 bag of seed = 32 cups

"x" bags of seed = 144 cups

This forms a proportion and we can solve it by cross multiplying

144 \times 1 = 32 \times x\\\\144 = 32x\\\\x = \frac{144}{32}\\\\x = 4.5

Thus 4.5 bags of seed is used by Mr.patel

5 0
4 years ago
Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time. Tricia started wit
fomenos

Answer:

Approximately 2 months

Step-by-step explanation:

Tricia: f(d) = 5.15m + 10.25

Melanie: f(d) = 10.25m

f(d) is the total savings altogether

m is the amount of months

5.15(2) + 10.25 = 20.55

10.25(2) = 20.50

They will have the same amount of savings in approximately 2 months

1.990291 is the actual time (in months) they will be the same

4 0
3 years ago
Read 2 more answers
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