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3 years ago

What is the value of c

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

X^2 + 6x = 13. We are to "complete the square."

x^2 + 6x + (6/2)^2 - (6/2)^2 = 13

Then (x+3)^2 - 9 = 13, or (x+3)^2 = 22.

then x+3 = plus or minus sqrt(22), or x = -3 plus or minus sqrt(22).

Given x^2 + 6x = 13, to complete the square we insert " 3^2 - 3^2 " between the "6x" and the "=" sign.

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A new shirt for Samantha has a price of $99.75. Since there is no PST on children's clothes, the only tax she has to pay is 5% G

sleet_krkn [62]

Answer:

Samantha needs to pay $5 for the GST.

Step-by-step explanation:

In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:

$99.75→100%

x ← 5%

x=(99.75*5)/100= 5

According to this, the answer is that Samantha needs to pay $5 for the GST.

5 0

3 years ago

Can you please help with 19&23? 19 says write an expression to represent the perimeter. Thanks!

Valentin [98]

the perimeter is simply the sum of all its sides.

(6a+8)+(12a)+(6a+8)+(10a-4)

34a + 16 - 4

34a + 12.

7 0

3 years ago

Math challenging and now math challenging me to challenge math

erastovalidia [21]

Answer:

$30

Step-by-step explanation:

Total amount paid by the hire purchase scheme:

$60 + 6 * $45 = $60 + $270 = $330

Total amount paid in just the cash price:

$300

Difference:

$330 - $300 = $30

3 0

3 years ago

Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1

alexandr1967 [171]

Answer:

$a) \simeq 0.3012$ $b) \simeq 0.0494$ c) $\simeq 0.2438$

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, $\frac{1.2}{4}$

= 0.3 collisions per month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

P(X =x) = $\frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}
$

for x ∈ N ∪ {0}

= 0 otherwise --------------------------------------(1)

here, $\lambda = 0.3$ collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

P(X = 0) = $\frac{e^{-0.3}\times {\0.3}^{0}}{0!}
$

$\simeq 0.7408182207$ ------------------------------------(2)

Now, since we are calculating this for 4 months,

so, P(No collision in 4 month period)

= $0.7408182207^{4}$

$\simeq 0.3012$ -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

P(X =1) = $\frac{e^{-0.3}\times {\0.3}^{1}}{1!}
$

$\simeq 0.2222454662$ ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

= $0.2222454662^{2}$

$\simeq 0.0494$ -----------------------------------------(5)

1 collision in 6 months period means

$\frac{1}{6}$ collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6] (which is to be estimated)

= $\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}$

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

$\simeq 0.6543894283$ -------------------------------------------(6)

So,

P(1 collision in 6 month period)

= $0.6543894283^{6}$

$\simeq 0.0785267444$ ------------------------------------------------(7)

So,

P(No collision in 6 months period)

= $(P(X =0)^{6}$

$\simeq 0.1652988882$ ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

$\simeq 0.2438$ ---------------------------------------------(9)

7 0

3 years ago

5/16 divide by 20/40= SHOW WORK

Elenna [48]

5/16 divided by 20/40
5/16 times 40/20
5 times 40= 200
16 times 20=320
200/320=20/32=10/16=5/8

Final Answer: 5/8

6 0

3 years ago

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