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2 years ago

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? What value(s) of x make the equation true?

1 answer:

9 0

$x^2 - 6 = 16x + 30$

$x^2 - 6 - 16x - 30=0$

$x^2-36-16x=0$

$| \text{Factor}|$

$(x-18)(x+2)
$

$(x-18)(x+2)=0
$

$x=18,-2
$

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The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly

ivanzaharov [21]

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

7 0

2 years ago

Derek bought a new car for $32,000. He made a down payment of $17,000 and financed the balance through the car dealer. He was un

Andreyy89

Answer:

$300

Step-by-step explanation:

Given that:

Derek bought a new car for $32,000;

The original amount of purchase = $32,000

Down payment = $17,000

Remaining amount = Original amount of purchase - Down payment

= $(32000 -17000)

= $ 15,000

Also;

rate of interest per month is 2%

and the Derek is unable to pay his first monthly payment

thus the interest amount is calculated on principal amount

so for the first month interest is calculated on total principal amount

The month interest payment is then calculated as :

= 15,000 × 2%

= 15,000 × 0.02

= $300

3 0

2 years ago

Find the 14th term of the geometric sequence 7, 28, 112, ...

bixtya [17]

Answer: five people like to like 5 people

Step-by-step explanation:

7 0

2 years ago

While Flinn was starting the fire, his friends were collecting firewood. Flinn has 5 sticks. If he puts 3 sticks in the fire eve

fomenos

Answer:

Time required to make a pile of 45 sticks next to their fire = 10 minutes

Step-by-step explanation:

This is an example of arithmetic progression.

First term = 5 - 3 + 7 = 9 sticks

Common difference = 7 - 3 = 4 sticks.

So the number of sticks next to their fire is increasing like this

9, 13, 17, 21 .............

$n^{th}$ term of AP = a + (n-1) d, we need to find n

a + (n-1) d = 45

9 + (n-1) x 4 = 45

(n-1) x 4 = 36

n - 1 = 9

n = 10

Time required to make a pile of 45 sticks next to their fire = 10 minutes

4 0

2 years ago

Read 2 more answers

Anna gets paid $8.75/hour working as a barista at Coffee Break. Her boss pays her $9.00/hour for creating the weekly advertiseme

vladimir1956 [14]

Answer:

i believe it would be $443.75

Step-by-step explanation:

just add 8.75 to 9.00 then multiply it by 25

8.75+9.00= 17.75 x 25= 443.75

if its a different type of equation then maybe this didn't help but i hope it does

7 0

2 years ago