All categories

3 years ago

Complete the equation to show that 4.2 divided by 0.35 is equivalent to 420 divided by 35

Mathematics

1 answer:

Elina [12.6K]3 years ago

6 0

It is done by division of decimal numbers.

Step-by-step explanation:

We have 4.2 = numerator

and 0.35 = denominator

while dividing decimal numbers we divide them by removing the decimal points.

to remove the decimal points in the denominator we first shift the decimals in numerator and denominator to right till one of them has decimal removed , which here gives us 42 and 03.5 or 3.5, now add number of zeroes in numerator = number of digits after the decimal point.

now we remove the decimal in denominator so we get 420 divided by 35.

You might be interested in

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

Mama L [17]

Answer:

$(a)\ P(x = 0) = 0.2725$

$(b)\ P(x \ge 1) =0.7275$

$(c)\ P(x \le 2) = 0.8948$

Step-by-step explanation:

Given

$n = 8$ --- 8 friends

$p = 15\%$ --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

Solving (a): P(x = 0) --- None has done one time fling

$P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}$

$P(x = 0) = 1* 1 * (1 - 0.15)^{8}$

$P(x = 0) = 0.85^8$

$P(x = 0) = 0.2725$

Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

Solving (c): $P(x\le 2)$ --- Not more than 2 has one time fling

This is calculated as:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

We have:

$P(x = 0) = 0.2725$

$P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}$

$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

$P(x = 1) = 0.3847$

$P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}$

$P(x = 2) = 28* (0.15)^2 * (1-0.15)^6$

$P(x = 2) = 0.2376$

So:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

4 0

3 years ago

If ln(4x+y)=2x-3,then dy/dx=

Viktor [21]

$\ln(4x+y)=2x-3$

Differentiate both sides wrt $x$ :

$\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}$

By the chain rule, we get

$\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2$

$\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2$

Solve for $\frac{\mathrm dy}{\mathrm dx}$ :

$4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y$

$\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}$

4 0

3 years ago

What is f(8)=0.8(8)^2

Montano1993 [528]

Answer:

f = 5.12

Step-by-step explanation:

f(8)=0.8(8)^2

f(8)=6.4^2

f(8)=40.96

f(8)/8 = 40.96/8

f = 5.12

i'd really appreciate being marked brainliest if you want! i appreciate it :)

7 0

3 years ago

What is a terminating decimal?

Arte-miy333 [17]

A terminating decimal has digits that end. They do not go on forever. For example, 0.125 has only 3 decimal digits and does not keep on going like 1/3

A rational number is a number that canbe expressed as p/q where p and q are both integers. But q cannot equal to 0.

All terminating decimals are rational numbers, but not all rational numbers are terminating decimals. For example 1/4, which equals to 0.25 is both a rational number and a terminating decimal. On the other hand, 1/3 is a rational number but is not a terminating decimal.

5 0

4 years ago

Find the product of ( - 6 + 3i) and its conjugate.<br> product =<br> Submit Question

valina [46]

Answer:

-9i. if 6 plus 3 = 9 and the six was a negative plus a positive 3 it's -9 and the 3 had any I attached do it's -9i

8 0

3 years ago

Read 2 more answers