<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E%7B2%7D%20-50%7D%7Bx%5E%7B2%7D%20%2B7x%2B10%7D" id="TexFormula1" title="\frac{2

All categories

KiRa [710]

2 years ago

x^{2} -50}{x^{2} +7x+10}" alt="\frac{2x^{2} -50}{x^{2} +7x+10}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Vikentia [17]2 years ago

4 0

Step-by-step explanation:

$\frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 }$

$\frac{2( {x}^{2} - 25) }{(x + 5)(x + 2}$

$\frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)}$

$\frac{2(x - 5)}{x + 2}$

You might be interested in

Which set of ordered pairs could be generated by an exponential function?

klemol [59]

Answer: Third option.

Step-by-step explanation:

By definition, Exponential functions have the following form:

$y = ab^x$

Where "b" is the base ( $b > 0$ and $b\neq 1$ ), "a" is a coefficient ( $a\neq 0$ ) and "x" is the exponent.

It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.

Then, for an input value 0 ( $x=0$ ) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 ( $y=1$ ).

You can observe in the Third option shown in the image that when $x=0$ , $y=1$

Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.

4 0

3 years ago

Read 2 more answers

What is the solution to the equation 7,- 5* ++5

maw [93]

Answer:

the answer to the problem is h=7

5 0

3 years ago

A slice of pizza costs $1.57. How much will 27 slices cost?

elena-s [515]

It will be cost $ 42.39 for 27 slices of pizza

<h3>Further Explanation</h3>

A slice of pizza = $1.57

27 slices of pizza = the number of pizza x price/slice

= 27 x 1.57

We are going to use standard algorithm to solve this multiplication

1.57 ⇒ 2 decimal places

<u> 27</u> x ⇒ 0 decimal place

1099

<u> 314 </u>+

42.39 ⇒ 2 decimal places

In decimal number multiplication, the process is the same with the whole number multiplication. Only always remember when to put the decimal point in the answer.

<h3>Learn more</h3>

Total spend brainly.com/question/12203917

Decimal multiplication brainly.com/question/2308946

Decimal multiplication brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, area, measurement

3 0

2 years ago

Read 2 more answers

A prticular type of tennis racket comes in a midsize versionand an oversize version. sixty percent of all customers at acertain

svetlana [45]

Answer:

a) P(x≥6)=0.633

b) P(4≤x≤8)=0.8989 (one standard deviation from the mean).

c) P(x≤7)=0.8328

Step-by-step explanation:

a) We can model this a binomial experiment. The probability of success p is the proportion of customers that prefer the oversize version (p=0.60).

The number of trials is n=10, as they select 10 randomly customers.

We have to calculate the probability that at least 6 out of 10 prefer the oversize version.

This can be calculated using the binomial expression:

$P(x\geq6)=\sum_{k=6}^{10}P(k)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\\\P(x=6) = \binom{10}{6} p^{6}q^{4}=210*0.0467*0.0256=0.2508\\\\P(x=7) = \binom{10}{7} p^{7}q^{3}=120*0.028*0.064=0.215\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\P(x=9) = \binom{10}{9} p^{9}q^{1}=10*0.0101*0.4=0.0403\\\\P(x=10) = \binom{10}{10} p^{10}q^{0}=1*0.006*1=0.006\\\\\\P(x\geq6)=0.2508+0.215+0.1209+0.0403+0.006=0.633$

b) We first have to calculate the standard deviation from the mean of the binomial distribution. This is expressed as:

$\sigma=\sqrt{np(1-p)}=\sqrt{10*0.6*0.4}=\sqrt{2.4}=1.55$

The mean of this distribution is:

$\mu=np=10*0.6=6$

As this is a discrete distribution, we have to use integer values for the random variable. We will approximate both values for the bound of the interval.

$LL=\mu-\sigma=6-1.55=4.45\approx4\\\\UL=\mu+\sigma=6+1.55=7.55\approx8$

The probability of having between 4 and 8 customers choosing the oversize version is:

$P(4\leq x\leq 8)=\sum_{k=4}^8P(k)=P(4)+P(5)+P(6)+P(7)+P(8)\\\\\\P(x=4) = \binom{10}{4} p^{4}q^{6}=210*0.1296*0.0041=0.1115\\\\P(x=5) = \binom{10}{5} p^{5}q^{5}=252*0.0778*0.0102=0.2007\\\\P(x=6) = \binom{10}{6} p^{6}q^{4}=210*0.0467*0.0256=0.2508\\\\P(x=7) = \binom{10}{7} p^{7}q^{3}=120*0.028*0.064=0.215\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\\\P(4\leq x\leq 8)=0.1115+0.2007+0.2508+0.215+0.1209=0.8989$

c. The probability that all of the next ten customers who want this racket can get the version they want from current stock means that at most 7 customers pick the oversize version.

Then, we have to calculate P(x≤7). We will, for simplicity, calculate this probability substracting P(x>7) from 1.

$P(x\leq7)=1-\sum_{k=8}^{10}P(k)=1-(P(8)+P(9)+P(10))\\\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\P(x=9) = \binom{10}{9} p^{9}q^{1}=10*0.0101*0.4=0.0403\\\\P(x=10) = \binom{10}{10} p^{10}q^{0}=1*0.006*1=0.006\\\\\\P(x\leq 7)=1-(0.1209+0.0403+0.006)=1-0.1672=0.8328$

7 0

3 years ago

Tom knows that in his school 10out of every 85 students are lefthanded. There are 391 students in Toms school. How many studentd

kompoz [17]

There are 39 left handed students at Toms school

5 0

3 years ago