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Harrizon [31]
3 years ago
15

Y= 5 6 x+5 y= 1 3 x+2

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

(-6,0)

x = - 6, y = 0

Step-by-step explanation:

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Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu
IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

A.

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

B.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

3 0
3 years ago
Given a mean of 52.3 and a standard deviation of 1.8, what is the z-score of the value 51.8 rounded to the nearest tenth?
postnew [5]
The z-score of a certain data point in the given statistical data is calculated through the equation,
                                           z-score = (x - m) / sd
where x is the data point, m is the mean and sd is the standard deviation. 
Substituting the known values,
                                           z-score = (51.8 - 52.3) / 1.8
                                           z-score = -0.277
Rounding the answer to the nearest tenth will give an answer of -0.3. 
8 0
3 years ago
Hi! I need help with the attached question in calc. Thank you:)
Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

\displaystyle V=\pi \int_a^b [R(y)]^2\, dy

So:

\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy

Simplify:

\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy

Integrate:

\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]

Evaluate (I ignored the 0):

\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi

We acquire the exact same answer.

8 0
3 years ago
When dividing fractions, the ________ term becomes the reciprocal.
Aleks04 [339]

Answer: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following numbers can be expressed as repeating decimals? (5 points) 4 over 7 , 2 over 5 , 7 over 8 , 4 over 9 4 ov
Black_prince [1.1K]

Answer:

4/9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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