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Anastasy [175]
3 years ago
7

Write what the expressions below best represent within the context of the word problem. mark had 3 times as many quarters as nic

kels. he had $1.60 in all. how many nickels and how many quarters did mark have?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0
6 quarters and 2 nickles

2*3=6

6 quarters=1.50
2 nickles=.10
together that is 1.60!!
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The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of
g100num [7]

Answer:

68% of pregnancies last between 250 and 282 days

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 266

Standard deviation = 16

What percentage of pregnancies last between 250 and 282 days?

250 = 266 - 16

250 is one standard deviation below the mean

282 = 266 + 16

282 is one standard deviation above the mean

By the Empirical Rule, 68% of pregnancies last between 250 and 282 days

4 0
3 years ago
Determine and describe the ​number​ and ​type​ of roots of the quadratic functions. Show any and all work necessary to determine
algol13

Answer:

See explanations below

Step-by-step explanation:

The root of a quadratic equation is determined by its discriminant

D = b²-4ac

If D > 0, the roots are real and unique

If D < 0, the roots are complex

If D= 0, the roots are real and equal

a) For the quadratic equation

y=3x^2+7x+8

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 3,  b = 7 and c = 8

Get the discriminant

D = 7²-4(3)(8)

D = 49 - 96

D = -47

Since the discriminant value is less than 0, hence the roots are complex roots

b) For the quadratic equation

y=2x^2-7x-2

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 2,  b = -3 and c = -2

Get the discriminant

D = (-3)²-4(2)(-2)

D = 9 + 16

D = 25

Since the discriminant value is greater than 0, hence the roots are real and unique.

c) For the quadratic equation

y=9x^2+30x+25

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 9,  b = 30 and c = 25

Get the discriminant

D = 30²-4(9)(25)

D = 900 - 900

D = 0

Since the discriminant value is equal to 0, hence the roots are complex real and equal

7 0
2 years ago
Which terminating decimal is equivalent to the fraction 58
maria [59]

Answer:

i belive its just 58

Step-by-step explanation:

5 0
3 years ago
Which expression represents 3 less than four times a
gayaneshka [121]

Answer:

4a - 3

Step-by-step explanation:

"four times a" = 4 * a = 4a

"3 less than" = -3

Combine the terms: 4a - 3

~

3 0
3 years ago
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In 2003, a remote controlled model airplane became the first ever to fly nonstop across the Atlantic Ocean. The map shows the ai
zysi [14]

Answer:

883 miles = total distance the model airplane flew.

average speed = about 50 mi/h

Step-by-step explanation:

8 0
3 years ago
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