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Nezavi [6.7K]
3 years ago
5

An integer 3a5b can be divided by 5 and 6, what is the value of a + b.

Mathematics
1 answer:
ratelena [41]3 years ago
4 0

Answer:

a + b = 1 or 4

Step-by-step explanation:

The integer = 3a5b

The factors of the integer includes 5 and 6

∴ 5 × 6 = 30 is a factor of the integer hence 10 is also a factor which gives b = 0

We check for factors of four digit numbers with the first digit = 3, last digit = 0, penultimate to the last digit = 5 and divisible by 30

We have a50 divisible by 30, which gives, a5 divisible by 3 which includes

15 and 45 hence a can be 1 or 4 and a + b = 1 + 0 = 1 or  4 + 0 = 4.

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Answer:

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Step-by-step explanation:

3 0
3 years ago
A bowl has 3 red beads and 7 blue beads. Two beads are selected at random one at a time. First a red bead is drawn and placed on
IceJOKER [234]

The probability that first a red bead is drawn and next a blue bead is drawn is 7/30,and both events are dependent

<h3>How to determine the probability?</h3>

The distribution of the beads are:

Red = 3

Blue = 7

Total = 10

The probability of selecting the red bead first is:

P(Red) = 3/10

When the red bead is selected, the number of beads becomes 9

So, the probability of selecting a blue bead is

P(Blue) = 7/9

The probability of the event is then calculated using:

P = 3/10 * 7/9

Evaluate

P = 7/30

Hence, the probability of the event is 7/30

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7 0
2 years ago
Terrence solves the problem and finds 53.04 x 4.6 = 2,439.84. Tara says that his product is incorrect. Fill in the blanks to hel
Sati [7]

Answer:tara was right terrence was close but he put the(.) in the wrong spot the correct answer is 243.984 but terrence put 2439.84

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A recent survey of 128 high school students indicated the following information about release times from school.
Delicious77 [7]

Answer:

A) Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

B) The group that wants to get out of school earlier can win after all the votes are counted if their true population proportion takes on a value that is higher than the closest true population proportion (for the group that wants to get out of school later)

That is, in the (31%, 39%) and (35%, 43%) obtained in (a), a range of (35.1%, 39%) and (35%, 38.9%) show how possible that the group that wants to get out of school earlier can win after all the votes are counted.

Step-by-step explanation:

The Interval estimate for the proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Interval estimate = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the proportion.

a) Find the interval estimates

i) for those that want to get out earlier and

ii) those that want to get out later.

i) Sample proportion of those that want to get out earlier = 35%

Margin of Error = 4%

Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

ii) Sample proportion of those that want to get out later = 39%

Margin of Error = 4%

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

b) Explain how it would be possible for the group that wants to get out of school earlier to win after all the votes are counted.

Since the interval estimates represent the range of values that the true population proportion can take on for each group that prefer a particular option, the group that wants to get out of school earlier van have their proportion take on values between 31% and 39%. If their true population takes on a value that is highest (which is very possible from the interval estimate), and the group with the highest proportion in the sample, (the group that wants to get out of school later, whose true population proportion can take between 35% and 43%) has a true population proportion that is less than that of the group that wants to get out of school earlier, then, the group that wants to get out of school earlier can win after all the votes are counted.

Hope this Helps!!!

3 0
3 years ago
A(9,2) B(1,6)<br> if (2,k) is equidistant from A and B, find the value of k.
Pani-rosa [81]
P is the point (2,k)
PA = PB
PA = √(49 + (2-k)²) and PB = √(1 + (6 - k)²)
√(49 + (2-k)²) = √(1 + (6 - k)²) => (49 + (2-k)² = (1 + (6 - k)²
=> 49 + 4 - 4k + k² = 1 + 36 - 12k + k² => 8k = 37 - 53 = -16 => k = -2

5 0
3 years ago
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