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2 years ago

15

Ninety percent of the seats of a flight are filled. There are 240 seats. How many seats are filled?

1 answer:

antoniya [11.8K]2 years ago

3 0

Answer:

216 seats are filled

Step-by-step explanation:

240-90%=24

24+216=240

thats how you know 216 is correct

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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

Viktor [21]

Answer:

There are approximately 171 families in the sample.

Step-by-step explanation:

Percentile meaning:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.

This means that 24 is 14% of the total number of families.

Approximately how many families are in the sample?

Using a rule of three.

24 - 0.14

x - 1

0.14x = 24

x = 24/0.14

x = 171.4

Rounding to the nearest integer

There are approximately 171 families in the sample.

5 0

2 years ago

Applying Properties of Exponents In Exercise, use the properties of exponents to simplify the expression.

NemiM [27]

Answer: (a) $e^3$

(b) $e^{10}$

(c) $\dfrac{1}{e^4}$

(d) $e^{4}$

Step-by-step explanation:

Properties of exponents :

1) $a^m\times a^n=a^{m+n}$

2) $\dfrac{a^m}{a^n}=a^{m-n}$

3) $(a^m)^n=a^{mn}$

4) $a^{-n}=\dfrac{1}{a^n}$

Now , we simplify the given expression using the above properties.

a) $(e^6)(e^{-3})$

$=e^{6+(-3)}$ [By property (1)]

$=e^{6-3}=e^3$ [∵ (+)(-)=(-)]

b) $(e^{-2})^{-5}$

$=e^{-2\times-5}$ [By property (3)]

$=e^{10}$ [∵ (-)(-)=(+)]

c) $(\dfrac{e^6}{e^2})^{-1}$

$=(e^{6-2})^{-1}$ [By property (2)]

$=(e^{4})^{-1}$

$=\dfrac{1}{e^4}$ [By property (4)]

d) $(e^3)^{\frac{4}{3}}$

$=e^{3\times\frac{4}{3}}$ [By property (3)]

$=e^{4}$

7 0

3 years ago

Here is the sales slip from Sharon’s shopping trip. Sharon paid a total of $25.52 which included sales tax on all items. What ta

Yuki888 [10]

Its about 7% percent tax. hope i helped

8 0

3 years ago

Read 2 more answers

What is the probability of drawing a 3 letter name? 2/10 or 1/5

uysha [10]

Hi
both are the same answers
if u divide 2/10
u will get 1/5
u always have to write the simplest form of the fraction

5 0

3 years ago

The parent function f(x) = x^2 is vertically stretched by a scale factor of 2, translated 14 units right, and 6 units up. Which

Elena-2011 [213]

Answer:

$(1)\; G(x)=2(x-14)^2+6$

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function, $f(x)=x^2$

Let $f_1(x)$ be the function when the parent function is stretched by a scale factor of 2.

So, $f_1(x)=2f(x)$

$\Rightarrow f_1(x)=2x^2$

Let $f_2(x)$ be the function when $f_1(x)$ is translated $14$ units right.

So, $f_2(x)=f_1(x-14)$

$\Rightarrow f_2(x)=2(x-14)^2$

Again, let $f_3(x)$ be the function when $f_2(x)$ is translated 4 units up.

So, $f_3(x)=f_2(x)+6$

$\Rightarrow f_3(x)=2(x-14)^2+6$

So, the resulting function, $f_3(x)=G(x)=2(x-14)^2+6$ .

Hence, option (1) is correct.

4 0

3 years ago