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3 years ago

Choose all the problems that you will solve by regrouping. A. 65 – 56 = ? B. 28 – 15= ? C. 16 – 6 = ? D. 74 – 38 = ?

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

Answer:

(a) and (d) will be done by regrouping

Step-by-step explanation:

Solution will be done by regrouping if unit term of term which is subtracted is greater then the term which subtracts.

(a) 65 -56, since the unit term of 65 is 5 and of 56 is 6

as the unit terms of 56 is greater than unit term of 65

Thus solution will be done by regrouping

⇒ 65 -56 = 9

(b) 28 -15, since the unit term of 28 is 8 and of 15 is 5

as the unit terms of 28 is greater than unit term of 15

Thus solution will not be done by regrouping

⇒ 28 -15 = 13

as the unit terms of 16 is equal to unit term of 6

Thus solution will not be done by regrouping

⇒ 16 -6 = 10

(d) 74-38 , since the unit term of 74 is 4 and of 38 is 8

as the unit terms of 38 is greater than unit term of 74

Thus solution will be done by regrouping

⇒ 74-38 = 36

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According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

Choose which lines are perpendicular. after doing the necessary work, circle your final answer.

Burka [1]

First, we determine the slope of the line given, y = 2x + 5
The equation is in slope-intercept where in the slope of the line is the numerical coefficient of x. The slope is therefore 2.
The equation of the new line becomes,
y - 6 = 2(x - 4)
Simplifying, y = 2x - 2

5 0

3 years ago

Choose 2 trapezoids and find the area using proper format

masha68 [24]

Answer:

Area of green trapezoid would be:

(length of two parallel sides × h) ÷ 2

( 5cm x 2cm) ÷ 2

= 5 square centimetres

Area of the orange trapezoid would be:

(length of two parallel sides x h) ÷ 2

(10.5 cm × 3) ÷ 2

( 31. 5) ÷ 2

(15. 75 square centimetres

NOTE: h represents height

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4 years ago

Can someone please help me solve this

Natalija [7]

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3 years ago