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1 year ago

Use area model to explain the product 4.6 and 3. Write the product in standard form, word form and expanded form.

2 answers:

4 0

Use area model to explain the product and 4.6 3. Write the product in standard form, word form and expanded form.
Standard form: 4.6 3
Word form: 4.0 + 0.6 3
expanded form: four point six three

enyata [817]1 year ago

3 0

Answer: Product = 13.8

Step-by-step explanation:

As we have to use area model :

So, we

Let length of rectangle be 4.6

Let breadth of rectangle be 3

As we know that

Area of rectangle is given by

$Length \times breadth\\\\=4.6\times 3\\\\=13.8\text{ squared units }$

Now, we must write in standard form, word form and expanded form:

So,

Standard form = 13.8

Word form = thirteen and 8 tenths

Expanded form is given by

$13.8=1\times 10+3\times 1+8\times \frac{1}{10}$

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A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d

antiseptic1488 [7]

Solution:

Matte Satin Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18 0.48

Total 0.12 0.46 0.42 1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

$\frac{0.18}{0.48}=0.375
$ or $37.5\%$

Therefore, the option D. 37.5% is correct

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2 years ago

Read 2 more answers

A cereal company fills boxes with 16 ounces of cereal. The acceptable percent error in filling a box is 2.5%. Find the least and

Ket [755]

If the acceptable percent error is 2.5%, then the amount it can be over or under 16 oz is 0.4oz.
16 + 0.4
16 - 0.4
16.4 is the greatest, 15.6 is the least

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2 years ago

Write the equation of a line that is perpendicular to y = 5 y=5y, equals, 5 and that passes through the point ( − 7 , − 5 ) (−7,

Jlenok [28]

The line of the equation perpendicular to y=5 and cuts through (-5,-7) will be given by
m(x-x1)=y-y1
where m=slope.
from y=0x+5, the slope of the perpendicular line m=0,
thus the equation will be:
0(x--5)=y--7
0=y+7
y=-7
The equation is y=-7

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2 years ago

Read 2 more answers

Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo

Katena32 [7]

Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least" is equal to "greater than or equal"

The inequality that represent this scenario is

$70-5t \geq 55$

solve for t

$-5t \geq 55-70$

$-5t \geq -15$

Multiply by -1 both sides

$5t \leq 15$

Divide by 5 both sides

$t \leq 3$

Sven is incorrect

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

5 0

2 years ago

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds prod

True [87]

Answer:

a) 57.35%

b) 99.99%

c) 68.27%

Step-by-step explanation:

When we have a random variable X that is normally distributed with mean $\large\bf \mu$ and standard deviation $\large\bf \sigma$ , then

The probability that the random variable has a value less than a, P(X < a) = P(X ≤ a) is the area under the normal curve with mean $\large\bf \mu$ and standard deviation $\large\bf \sigma$ to the left of a.

The probability that the random variable has a value greater than b, P(X > b) = P(X ≥ b) is the area under the normal curve with mean $\large\bf \mu$ and standard deviation $\large\bf \sigma$ to the right of b.

The probability that the random variable has a value between a and b, P(a < X < b) = P(a ≤ X ≤ b) = P(a < X ≤ b)= P(a ≤ X < b) is the area under the normal curve with mean $\large\bf \mu$ and standard deviation $\large\bf \sigma$ between a and b.

In this case, the random variable is the collagen amount found in the extract of the plant. The mean is 63 g/ml and the standard deviation is 5.4 g/ml

(a) What is the probability that the amount of collagen is greater than 62 grams per mililiter?

As we have seen, we need to find the area under the normal curve with mean 63 and standard deviation 5.4 to the right of 62 (see picture).

You can find this value easily with a calculator or a spreadsheet. If you prefer the old-style, then you have to standardize the values and look up in a table.

If you have access to Excel or OpenOffice Calc, you can find this value by introducing the formula:

1- NORMDIST(62,63,5.4,1) in Excel

1 - NORMDIST(62;63;5.4;1) in OpenOffice Calc

and we will get a value of 0.5735 or 57.35%

(b) What is the probability that the amount of collagen is less than 90 grams per mililiter?

Now we want the area to the left of 90

NORMDIST(90,63,5.4,1) in Excel

NORMDIST(90;63;5.4;1) in OpenOffice Calc

You will get a value of 0.9999 or 99.99%

(c) What percentage of compounds formed from the extract of this plant fall within 1 standard deviations of the mean?

You can use either the rule that 68.27% of the data falls between $\large\bf \mu -\sigma$ and $\large\bf \mu +\sigma$ or compute area between 63 - 5.4 and 63 + 5.4, that is to say, the area between 57.6 and 68.4

In Excel

NORMDIST(68.4,63,5.4,1) - NORMDIST(57.6,63,5.4,1)

In OpenOffice Calc

NORMDIST(68.4;63;5.4;1) - NORMDIST(57.6;63;5.4;1)

In any case we get a value of 0.6827 or 68.27%

3 0

2 years ago