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4 years ago

Arrange the following measurements from smallest to largest

Mathematics

2 answers:

sveticcg [70]4 years ago

4 0

15 grams
55 grams
0.005 kilograms

miss Akunina [59]4 years ago

3 0

The order of the Metric system goes like this. Kilo, Hecto, Deca,Unit, Deci, Centi, Milli. So 55 Grams goes in the Unit spot, the 15 grams goes in the unit spot, and .005 kilograms equals 5 grams. So the order from smallest to largest is 0.005 kilograms, 15 grams, 55 grams. Hope this helps. -S

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Select the three expressions that are equivalent to 3/5a + 10

Sonbull [250]

Answer:

A, C and D

Step-by-step explanation:

Given

$\frac{3}{5}a + 10$

Required

Select 3 equivalent expressions

$\frac{3}{5}a + 10$

Express 3 as 2 + 1

$\frac{2 + 1}{5}a + 10$

Rewrite as:

$\frac{2a + a}{5} + 10$

Split

$\frac{2a}{5} + \frac{a}{5} + 10$ ----- Option (A)

$\frac{3}{5}a + 10$

Express 10 as 14 - 4

$\frac{3}{5}a + 14 - 4$

Rewrite as:

$14+\frac{3}{5}a - 4$ --- Option (C)

$\frac{3}{5}a + 10$

Factor out 1/5

$\frac{1}{5}(3a + 50)$ --- Option D

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3 years ago

Select the algebraic equation that correctly represents the given sentence, and solve the equation. If 4 is subtracted from twic

IRINA_888 [86]

Im sure the answer is D sorry if im wrong

4 0

4 years ago

Read 2 more answers

70 sixth-graders had an average weight of 90 pounds. 30 seventh graders had an average weight of 100 pounds. What was the averag

Brrunno [24]

We know that 70 sixth graders had an average weight of 90 pounds, and 30 seventh graders had an average weight of 100 pounds.

We know that the weight of all 70 sixth graders will be 70*90, since we're multiplying the total amount of students by the average.

Using this same logic tells us that the total weight for the 30 seventh graders is 30*100

The average weight for all 100 students will be the total weight of the sixth graders (which is 70*90) added with the total weight of the seventh graders (which is 30*100), then finally divided by the total amount of students in the sample space (which is 100).

$\dfrac{70(90)+30(100)}{100}$

$=\dfrac{6300+3000}{100}$

$=\dfrac{9300}{100}$

$=93$

The average of all 100 students is 93 pounds.

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4 years ago

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.S

kozerog [31]

Answer:

B., C. and D.

Step-by-step explanation:

Seven cards are selected from a standard 52-card deck without replacement. The number of diamonds selected is recorded. Does the probability experiment represent a binomial experiment?

The criteria for a Binomial experiment are the following.

1. Fixed number of trials. (Not met)

The text doesn't specify the sample size (it says that seven cards are selected but doesn't specify how many times will seven cards be drawn), this number must be established before starting the experiment.

2. There are only two possible outcomes for each trial. (Not met)

"Draws seven cards and records the number of diamonds" so the outcome of the trial can be

"No diamonds"

"1 diamond card"

"2 diamond cards"

"3 diamond cards"

...

"7 diamond cards"

Simply speaking, it has two outcomes if you can phrase it as a yes or no question. That is not the case in this experiment.

3. Each trial is an independent event. (Not met)

4. The probability of success in the same from one trial to another. (Not met)

Two events are independent if the occurrence of one doesn't affect the probability of occurrence of the next one.

Since the cards are selected without replacement, at each repetition of the trial the probability of the next trial is modified. Therefore, the trials are dependant and the probability of success is modified after each trial.

None of the criteria for a Binomial experiment are met, this is not a Binomial experiment.

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