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4 years ago

Name the subsets of -17

1 answer:

7 0

-17

an integer is a negative or positive whole number
a rational number is a number that can be turned into a fractions...can be either positive or negative.

so ur subsets are : rational number and integer

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3x²-7x-5=0 solve this using completing the square method

jonny [76]

Answer:

−0.573384418

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/3%20%7B%20x%20%20%7D%5E%7B%202%20%20%7D%20%20-7x-5%20%3D%20%200

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3 years ago

Find an equation of the sphere with center (−2, 3, 7) and radius 7.What is the intersection of this sphere with the yz-plane?

masya89 [10]

Answer:

The equation of the sphere with center (-2, 3, 7) and radius 7 is $(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$ .

The intersection of the sphere with the yz-plane is $(y-3)^{2}+(z-7)^{2} = 49$ .

Step-by-step explanation:

We know that any sphere can be represented by the following equation:

$(x-h)^{2}+(y-k)^{2}+(z-s)^{2} = r^{2}$

Where:

$h$ , $k$ , $s$ - Coordinates of the center of the sphere, dimensionless.

$r$ - Radius of the sphere, dimensionless.

If $(h,k, s) = (-2,3,7)$ and $r = 7$ , we obtain this expression:

$(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$

The intersection of the sphere with the yz-plane observe the following conditions:

$x = 0$ , $y \in \mathbb {R}$ , $z\in \mathbb{R}$

Hence, the expression above can be reduced into this:

$(y-3)^{2}+(z-7)^{2} = 49$

6 0

3 years ago

According to Nielsen Media Research. of all the U.S. households that owned at least one television set, 83% had two or more sets

Rudik [331]

Answer:

The proportion of U.S. households that owned two or more televisions is 83%.

Step-by-step explanation:

To determine whether the proportions of U.S. households that owned two or more televisions is less than 83% or not let us perform a hypothesis test for single proportion.

Assumptions:

The sample size (n) selected by the local cable company is 300 which is quite large. Then according to the Central limit theorem the sampling distribution of sample proportion follows a normal distribution with mean p and standard deviation $\sqrt{\frac{p(1-p)}{n} }$ .

Since the sampling distribution of sample proportions follows a normal distribution use the z-test for one proportion to perform the test.

The hypothesis is:

$H_{0}$ : The proportion of U.S. households that owned two or more televisions is 83%, i.e. $p=0.83$

$H_{1}$ :The proportion of U.S. households that owned two or more televisions is less than 83%, i.e. $p< 0.83$

Decision Rule:

At the level of significance α = 0.05 the critical region for a one-tailed z-test is:

$\\ Z\leq -1.645\\$

**Use the z table for the critical values.

So, if $\\ Z\leq -1.645\\$ the null hypothesis will be rejected.

Test statistic value:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

Here $\hat{p}$ is the sample proportion.

Compute the value of $\hat{p}$ as follows:

$\hat{p}=\frac{X}{n} \\=\frac{240}{300}\\ =0.80$

Now compute the value of the test statistic as follows:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\=\frac{0.80-0.83}{\sqrt{\frac{0.83*(1-0.83)}{300} } } \\=-1.383$

The test statistic is -1.383 which is more than -1.645.

Thus, the test statistic lies in the acceptance region.

Hence we fail to reject the null hypothesis.

Conclusion:

At 0.05 level of significance we fail to reject the null hypothesis stating that the proportion of U.S. households that owned two or more televisions is 83%.

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3 years ago

PLS HELP WHAT IS THE QUOTIENT,DIVISOR,DIVIDEND I ALR GOT THE ANSWER

prohojiy [21]

Answer:

Dividend= $(3x^4+4x^2-2x-35)$