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3 years ago

98 POINTS! The origin of the three planes is a point. True or False

Mathematics

2 answers:

allsm [11]3 years ago

6 0

False :) that is the anwser

SpyIntel [72]3 years ago

6 0

If you mean for <span>Cartesian coordinate system then there is a single point for three planes.</span>

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You are interested in estimating the the mean weight of the local adult population of female white-tailed deer (doe). From past

alisha [4.7K]

Answer:

$n=(\frac{2.33(19)}{7})^2 =39.996 \approx 40$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean

$\sigma=19$ represent the assumed population standard deviation

n represent the sample size (variable of interest)

Confidence =0.98 or 98%

Me=0.07 represent the margin of error for this case

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.01,0,1)", and we got $z_{\alpha/2}=2.33$ , replacing into formula (2) we got:

$n=(\frac{2.33(19)}{7})^2 =39.996 \approx 40$

So the answer for this case would be n=40 rounded up to the nearest integer

6 0

3 years ago

The degree of polynomial 10x^2+2x^mY-4y is 3. what is m

tresset_1 [31]

M would have to be 2

3 0

3 years ago

Solve the system using elimination

gayaneshka [121]

Step-by-step explanation:

-4x + 9y = -22

-9x -9y = 126

-13x = 104

x = -8

8 +`y = 14

y = 6

(-8,6)

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3 years ago

When decreases in one variable are accompanied by decreases in another variable, the variables are described as?

Oksi-84 [34.3K]

Directly proportional or positively correlated

7 0

3 years ago

1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid

My name is Ann [436]

9514 1404 393

Answer:

a) V = 4w²h

b) SA = 4w² +10wh

c) SA = 4w² +37.5/w

d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

V = LWH

base area = LW

lateral area = H(2(L+W))

a) The length is 4 times the width, so the volume is ...

V = (4w)(w)(h)

V = 4w²h

b) The total surface area is the sum of the base area and the lateral area:

SA = base area + lateral area

SA = (4w)(w) + 2h(4w +w)

SA = 4w² +10wh

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

15 = 4w²h

h = 15/(4w²)

Then the surface area is ...

SA = 4w² +10w(15/(4w²))

SA = 4w² +37.5/w

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

C = 10(4w²) +6(37.5/w)

C = 40w² +225/w

4 0

3 years ago