What is 55,080 divided by 250 as a decimal?

Which option correctly represents the graph of f(x) = 1/3x^2+2 and describes

bagirrra123 [75]

The function is even

7 0

3 years ago

Consider this equation: –3x – 5 2x = 6which is an equivalent equation after combining like terms?

Alla [95]

-3x-5+2x=6
2x-3x-5=6
-1x-5=6
-x-5=6
-x=11
x=11
an equivilent equaiton is x=11

7 0

4 years ago

A recent broadcast of a television show had a 10 share, meaning that among 6000 monitored households with TV sets in use, 10%

Kisachek [45]

Answer:

Null and alternative hypothesis

$H_0: \pi \geq0.25\\\\H_1: \pi$

Test statistic $z=-26.82$

P-value $P=0$

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

$H_0: \pi \geq0.25\\\\H_1: \pi$

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

$\sigma_p=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.25(1-25)}{6000} } =0.0056$

The test statistic is calculated as:

$z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.1-0.25+0.5/6000}{0.0056}=\frac{-0.1499}{0.0056} =-26.82$

As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

3 0

3 years ago

A large cube has a volume of 1 cubic unit. A small cube has a volume of 1 27 of a cubic unit. What is the difference between the

ExtremeBDS [4]

Given:

Volume of Large cube = 1 cubic unit

Volume of small cube = $\dfrac{1}{27}$ cubic unit

To find:

The difference between the edge length of the large cube and the edge length of the small cube.

Solution:

Let the edges of large and small cubes are $a_1$ and $a_2$ respectively.

We know that, volume of a cube is

$V=(edge)^3$

Volume of Large cube = 1 cubic unit

$(a_1)^3=1$

Taking cube root on both sides, we get

$a_1=1$

So, edge of large cube is 1 unit.

Volume of small cube = $\dfrac{1}{27}$ cubic unit

$(a_2)^3=\dfrac{1}{27}$

Taking cube root on both sides, we get

$a_2=\dfrac{1}{3}$

So, edge of large cube is $\dfrac{1}{3}$ unit.

Now, difference between them is

$d=a_1-a-2$

$d=1-\dfrac{1}{3}$

$d=\dfrac{3-1}{3}$

$d=\dfrac{2}{3}$

Therefore, the difference between the edge length of the large cube and the edge length of the small cube is $\dfrac{2}{3}$ unit.

6 0

3 years ago

PLEASE help! Math help? :)

stepan [7]

Answer: 39.2

Check out the attached image

============================================================

Explanation:

Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached.

Let m = length of side XZ

We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram

Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38

Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m = 39.2

So XZ is roughly 39.2 feet in length

4 0

3 years ago