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3 years ago

8

Mr switzer needs to buy new 1-foot tiles to cover his bathroom floor. The floor is 12 feet long and 8 feet wide. Each square foo

t of tile will cost $1.79. In dollars what will be the total cost of the tiles he needs to buy.

1 answer:

Liono4ka [1.6K]3 years ago

5 0

Answer:

$171.84

Step-by-step explanation:

Amount of tiles needed = 12*8 = 96 Tiles

Price of tiles = $1.79 * 96 = $171.84

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Data on IQ for 33 first graders are given as follows: 82, 96, 99, 102, 103, 103, 106, 107, 108, 108, 108, 108, 109, 110, 110, 11

Dahasolnce [82]

Answer:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

Where n represent the sample size, on this case n =33. If we use this formula we got:

$\bar X = 113.727$

And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this:

$E(\bar X) = E(\frac{\sum_{i=1}^n x_i}{n})= \frac{1}{n} \sum_{i=1}^n E(X_i) = \frac{n\mu}{n} = \mu$

Step-by-step explanation:

For this case we have the following values given:

82, 96, 99, 102, 103, 103, 106, 107, 108, 108, 108, 108, 109, 110, 110, 111, 113, 113, 113, 113, 115, 115, 118, 118, 119, 121, 122, 122, 127, 132, 136, 140, 146

And we want to estimate the mean value of IQ for the conceptual population.

For this case we can use as estimator for the population mean the sample mean. We know that the sample mean is given by this formula:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

Where n represent the sample size, on this case n =33. If we use this formula we got:

$\bar X = 113.727$

And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this:

$E(\bar X) = E(\frac{\sum_{i=1}^n x_i}{n})= \frac{1}{n} \sum_{i=1}^n E(X_i) = \frac{n\mu}{n} = \mu$

5 0

3 years ago

Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!

galben [10]

Answer:

$x = 3\sqrt{2}$

$y = 6\sqrt{2}$

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

$1 : \sqrt{3} : 2$

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

$x \times \sqrt{3} = 3\sqrt{6}$

$x = \dfrac{3\sqrt{6}}{\sqrt{3}}$

$x = 3 \times \sqrt{\dfrac{6}{3}}$

$x = 3\sqrt{2}$

The hypotenuse is twice the length of the short leg.

$y = 2 \times 3\sqrt{2}$

$y = 6\sqrt{2}$

6 0

3 years ago

Read 2 more answers

G.SRT.B.5 Worksheet #2

Yanka [14]

B): x=8, y=8root2, z=16
c): x=4, y=12, z=8root3
The ones later one you can do by your self.
30 60 90 triangle side ratio: 1:root3:2
90 45 45 triangle side ratio: 1:1:root2

4 0

2 years ago

Ball kicked into the air with an initial upward velocity of 60 ft/s. It’s height h in feet after t seconds is given by the funct

Free_Kalibri [48]

Answer:

Max height: 61.25 feet

Max height reached at 15/8 seconds, or 1.875 seconds

How long to hit the ground: (15 + 7√5)/8 or about 3.83 seconds

How high after 1 second: 49 feet

Step-by-step explanation:

Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.

The general form for a quadratic equation is ax² + bx + c,

here a is -16, and b is 60

To find the x coordinate of the vertex, use x = -b/(2a)

We have x = -60/[2(-16)]

x = -60/-32

x = 15/8

So at 15/8 seconds, the ball reaches is maximum height

Now plug that into the equation to find the y value, which will be the height...

y = -16(15/8)² + 60(15/8) + 5

y = -16(225/64) + 900/8 + 5

y = -225/4 + 450/4 + 20/4

y = 245/4

y = 61.25 feet

To find out how long the ball was in flight, solve the equation...

0 = -16t² + 60t + 5

Use quadratic equation...

x = -60/-32 ± √[60² - 4(-16)(5)]/-32

x = 15/8 ± (√3920)/-32

x = 15/8 ± (28√5)/-32

x = 15/8 ± (-7√5)/8

so x = (15 - 7√5)/8 and (15 + 7√5)/8

(15 - 7√5)/8 is negative, and we're talking about time, so this answer is ignored.

(15 + 7√5)/8 seconds is when the ball hits the ground

To find out out how high the ball was after 1 second, plug 1 in for x and simplify

h(1) = -16(1²) + 60(1) + 5

h(1) = -16 + 60 + 5

h(1) = 49

4 0

3 years ago

Im begging could anyone please teach me thissss

Angelina_Jolie [31]

I assume your "reasons" mean "roots" or "zeros"
if 3 is a root, plug x=3 in the equation, you can find n:
3²+(n-1)*3+6=0
3(n-1)=-15
n-1=-5
n=-4

Plug n=-4 in the original equation: x²-5x+6=0
factor: (x-3)(x-2)=0
x=3, which we already know
or x=2, which is the value of m+4
m+4=2
m=-2

5 0

4 years ago