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3 years ago

I need help with all these questions

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

Answer:

Step-by-step explanation:

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When a figure is reflected, what will be different between the pre image and the image

Kaylis [27]

Answer:245

Step-by-step explanation:36354

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3 years ago

The steps for determining the center and radius of a circle using the completing the square method are shown below: Step 1 [orig

Alika [10]

We are given original equation: $x^2 -10x + y^2 + 12y = 20$

We need to find the enter and radius of a circle using the completing the square method.

The steps are as following :

Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .

Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20

Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).

Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.

Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2

Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.

<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>

7 0

3 years ago

Which of the following is a non-prime factor of 70?

s344n2d4d5 [400]

Your answer would prolly be 65 as a non-prime number

3 0

2 years ago

What is the growth factor that corresponds to a product that increases its value first by 2%, and then increases by 5% of

BartSMP [9]

Answer:

1.19

Step-by-step explanation:

1+0.02+0.05+0.12 = 1.19

8 0

3 years ago

For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

3 years ago