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Nutka1998 [239]
3 years ago
9

Factor each expression 31

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0
You can’t factor 31 since it’s a prime number luv
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Earth travels about 10^9 kilometers in its year-long orbit around the sun. About how far does it travel in 100 years?
VladimirAG [237]

100 = 10^2

 so 10^9 * 10^2 = 10^11 kilometers in 100 years

4 0
3 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o
Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score (60+7(-2), 60+7(2))\\=(46, 74)

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

(\frac{12-60}{7}

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

3 0
3 years ago
Find the Area of the shape below.
kobusy [5.1K]

Answer:

42.5 Units squared

Step-by-step explanation:

Rectangle: 9.0 * 3.5 = 31.5

Square: 2 * 2 = 4

Left Triangle: 2 * 2 * .5 = 2

Right triangle: 5 * 2 * .5 = 5

31.5 + 4 + 2 + 5 = 42.5

5 0
3 years ago
F the point T is between the points B and N, then which of the following is true?
valentina_108 [34]
Assuming T, B and N are all on the same line, then we can say

BT + TN = BN

which is the segment addition postulate. 

Subtract TN from both sides to get
BT + TN = BN
BT + TN - TN = BN - TN
BT = BN - TN
BN - TN = BT

Which is what choice C is saying. Therefore the answer is choice C.
3 0
3 years ago
Read 2 more answers
Tim has $20 to buy snacks for 12 people in an office. Each person will get one snack. Tim is buying bags of pretzels that cost $
Greeley [361]

Answer:

  8 bags of pretzels

Step-by-step explanation:

Let x represent the number of bags of pretzels Tim buys. We assume he spends exactly $20 on exactly 12 bags of snack food. Then his purchase is ...

  1.50x + 2.00(12-x) = 20.00

  -0.50x +24.00 = 20.00 . . . eliminate parentheses, collect terms

  -0.50x = -4.00 . . . . . . . . . . .subtract 24

  x = 8 . . . . . . . . . . divide by -0.50

Tim will buy 8 bags of pretzels.

4 0
3 years ago
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