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3 years ago

Rewrite 2 4/7 as an improper fraction

Mathematics

2 answers:

svetlana [45]3 years ago

6 0

$2 \frac{4}{7} \\ \\ \frac{18}{7} \\ \\ Decimal: \\ \\ 2.57$

Nataliya [291]3 years ago

3 0

2 = 14 now add the extra 4/7 and you will get 18/7.
7

2 4
 7 using the algorithm (a shortcut way) 2x7=14+4=18 and put that 18 over the denominator 7. Done!

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3845 divided by 0.07. Round to the nearest tenth.

IRINA_888 [86]

Answer: 55357.1

Step-by-step explanation: When you divide 3845 by 0.07 you get 553571.142857142857143. TTo round to the nearest tenth means the first decimal point which woukd make the answer 55357.1

5 0

3 years ago

The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence

Anvisha [2.4K]

Answer:

A)CI 90 % = [ 7,2103 ; 8,7297]

B) s = √ ∑(xi - xp)²/n-1

c) z is the score for the given significance level in this case is 1,64

Step-by-step explanation:

For a confidence Interval of 90%, the significance level is α = 10 %

α = 0,1 α/2 = 0,05 and from z-table we find z(c) for 0,05 z(c) = 1,64

CI 90 % = [ x ± z(c) * s/√n ]

CI 90 % = [ 7,97 ± 1,64 * 2.62/√32]

CI 90 % = [ 7,97 ± 0,7597]

CI 90 % = [ 7,2103 ; 8,7297]

B) To calculate the standard deviation of the sample the equation is:

s = √ ∑(xi - xp)²/n-1

xi - xp is the difference between each one of the elements of the sample

xp is the mean or average of the elements of the sample and n is the sample size

7 0

3 years ago

Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of t

Alborosie

Answer:

The parent function is: y = x

First, here we have two types of transformations, and we could define them in a general way as:

if we start with a function f(x)

Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:

g(x) = A*f(x)

Vertical translation:

We can write a vertical translation of A units upwards as:

g(x) = f(x) + A

And a vertical translations of A units down can be written as:

g(x) = f(x) - A.

In this case, the transformations are:

first, a dilation of scale factor 8.

Then a translation down of 21 units

then another translation down of 7 units.

y = 8*X - 21 - 7

y = 8*x - 28.

As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28

Again, as this function is a linear equation there is no vertex.

5 0

3 years ago

The set of ordered pairs represents a function. Write a rule that represents the function.

Furkat [3]

Answer:

y = 3x^3 is the rule representing the function.

Step-by-step explanation:

There are 4 points given.

(0,0), (1,3), (2,24), (3,81), (4,192)

We are asked to find the function or rule connecting x and y

On seeing the pair, first let us find y/x

We observe that y is a multiple of 3. Let us find the values of y/3

y/3 = 0, 1, 4, 9, 16

= 0^2,1^2,3^2,4^2,....

i.e. y/3 is the square of x.

Hence relation is y = 3x^2

7 0

3 years ago

If $7000 is placed in account with an annual interest of 5.5% how long will it take the amount to double if the interest is comp

julsineya [31]

$A=P(1+ \frac{r}{n})^ \frac{t}{n}$
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years

how many years to double
basically
A=2P at t=?
so we can simplify and ignore the pricipal given and do
$2=(1+ \frac{r}{n})^ \frac{t}{n}$
r=5.5%=0.055
n=1
t=t

$2=(1+ \frac{0.055}{1})^ \frac{t}{1}$
$2=(1+ 0.055)^t$
$2=(1.055)^t$
take the ln of both sides
$ln2=t(ln(1.055))$
divide both sides by ln1.055
$\frac{ln2}{ln1.055}=t$
use calculator to aproximate
12.9462=t
about 12.9 years

7 0

3 years ago