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2 years ago

Can you please help with this question ASAP!!

Mathematics

1 answer:

nata0808 [166]2 years ago

5 0

Answer:

$13.50

Step-by-step explanation: All you have to do is enter 10 where the n is in the equation.

P(10) = 0.80(10) + 5.50

P(10) = 8 + 5.50

P(10) = 13.50

The answer is $13.50. Hope this helps!

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Y-9=3/4(x+8) rewrite it in slope intercept form explain your answer.

Angelina_Jolie [31]

Y+-9=3/4x+6 | y=mx+b m=slope b=y-intercept
divide -9÷-9
y=3/4x+6+-9
y=3/4x+-3
m=3/4
b=-3

5 0

2 years ago

The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000.

Sergeu [11.5K]

Answer:

P(z>1.3) = 0.9032

Step-by-step explanation:

We are given:

Mean = 5000

Standard deviation = 1000

x = 6300

P(x>6300)=?

z-score =?

z-score = x- mean/standard deviation

z-score = 6300 - 5000/1000

z- score = 1300/1000

z-score = 1.3

So, P(x>6300) = P(z>1.3)

Looking at the z-probability distribution table and finding value:

P(z>1.3) = 0.9032

So, P(z>1.3) = 0.9032

7 0

3 years ago

How to turn this equation: <br> y= -1.02(x-3)^2+9.25<br> into factored form

MatroZZZ [7]

Answer:

$y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})$

Step-by-step explanation:

You first equate it to zero to get:

$-1.02(x-3)^2+9.25=0$

Then solve using square root method

$-1.02(x-3)^2=-9.25$

$(x-3)^2=\frac{-9.25}{-1.02}$

$(x-3)^2=\frac{925}{102}$

$x=3\pm\sqrt{\frac{925}{102}}$

$x=3\pm{\frac{5\sqrt{3774}}{102}}$

$x={\frac{306\pm5\sqrt{3774}}{102}}$

Now work it backwards

$102x-(306\pm5\sqrt{3774})=0$

$(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})=0$

Hence the factored form is:

$y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})$

8 0

2 years ago

Find the LinReg line of best fit for this data set.

finlep [7]

The LinReg line of best fit for this data set is ŷ = -1.24X + 0.66

<h3>What is regression line?</h3>

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.

Given:

(−5, 6.3),

(−4, 5.6),

(−3, 4.8),

(−2, 3.1),

(−1, 2.5),

(0, 1.0),

(1, −1.4)

Sum of X = -14

Sum of Y = 21.9

Mean X = -2

Mean Y = 3.1286

Sum of squares (SSX) = 28

Sum of products (SP) = -34.6

Regression Equation,

ŷ = bX + a

b = SP/SSX = -34.6/28 = -1.23571

a = MY - bMX = 3.13 - (-1.24*-2) = 0.65714

ŷ = -1.23571X + 0.65714

ŷ = -1.24X + 0.66

Learn more about regression line here:

brainly.com/question/7656407

#SPJ1

3 0

1 year ago

The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K

GREYUIT [131]

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$M(2, 1) = (x_1, y_1)$

$P(12, 6) = (x_2, y_2)$

$m = 3, n = 2$

Plug in the necessary values to find the coordinates of K:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{3(12) + 2(2)}{3 + 2}$

$x = \frac{36 + 4}{5}$

$x = \frac{40}{5}$

$x = 8$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{3(6) + 2(1)}{3 + 2}$

$y = \frac{18 + 2}{5}$

$y = \frac{20}{5}$

$y = 4$

The coordinates of K = (8, 4)

3 0

2 years ago