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3 years ago

Max has a brother who is four years twice his age. If their combined ages equal 37, how old is Max?

Mathematics

1 answer:

kherson [118]3 years ago

6 0

M=33/3

M=Mark is 11

Brother: 2*11+4=22+4=26

Proof:

11+26=37

37=37

Hope I helped! :3

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Two ships are sailing parallel to each other. The path of one ship is represented on a coordinate plane as the line y = –13x + 4

Virty [35]

Answer:

(0,44)

Step-by-step explanation:

To answer this question, I would start by finding the equation of the second line. You can do that by plugging it into the formula y-y1=m(x-x1). You can take the slope from the first equation, which would be m=-13. So, y-5=-13(x-3). You can simplify that to get y=-13+44. Finally, to get a point, you can plug in almost any value for x and use the value of y to create a point. For example, if you choose x=0, you can get y=44 and the point (0,44)

3 0

3 years ago

Pls help fast i will mark brainiest to best answer

jenyasd209 [6]

Answer:

IQR = 5

The IQR covers 50%

Step-by-step explanation:

The interquartile range is the right line of the box minus the left side of the box

UQ - LQ = IQR

8 - 3 = 5

The interquartile range is 5

Now to find the percent in the interquartile range.

The Box divides the data in quartiles or 25%

The dot to the left line is 25%

The left line to the middle is 25%

The middle to the right line is 25%

The right line to the right dote is 25%

From the left line to the right line is 25% + 25% = 50 %

The IQR covers 50%

3 0

3 years ago

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Find the equation of the surface. A standard cone with vertex at (7, 0 , 0) opening up on the positive x-axis.

melomori [17]

solution:

Since, it’s a standard cone opening up on the positive x – axis therefore,

X = √y²+z²

And because it has a vertex at (7,0,0)

Therefore the equation of surface is

X = 7 + √y²+z²

7 0

3 years ago

Please help, you get 20 points for this!

Angelina_Jolie [31]

Answer:

2.15 times or 215%

Step-by-step explanation:

V(Luxor) = (646)² · 350/3

V(Tower) = 290 x 125 x 622

V(Luxor) ÷ V(Tower) = 2.15

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3 years ago

Independent random samples from two regions in the same area gave the following chemical measurements (ppm). Assume the populati

Basile [38]

Answer:

d. The interval contains only negative numbers. We cannot say at the required confidence level that one region is more interesting than the other.

Step-by-step explanation:

Hello!

You have the data of the chemical measurements in two independent regions. The chemical concentration in both regions has a Gaussian distribution.

Be X₁: Chemical measurement in region 1 (ppm)

Sample 1

n= 12

981 726 686 496 657 627 815 504 950 605 570 520

μ₁= 678

σ₁= 164

Sample mean X[bar]₁= 678.08

X₂: Chemical measurement in region 2 (ppm)

Sample 2

n₂= 16

1024 830 526 502 539 373 888 685 868 1093 1132 792 1081 722 1092 844

μ₂= 812

σ₂= 239

Sample mean X[bar]₂= 811.94

Using the information of both samples you have to determina a 90% CI for μ₁ - μ₂.

Since both populations are normal and the population variances are known, you can use a pooled standard normal to estimate the difference between the two population means.

[(X[bar]₁-X[bar]₂)± $Z_{1-\alpha /2}$ * $\sqrt{\frac{Sigma^2_1}{n1}+\frac{Sigma^2_2}{n_2} }$ ]

$Z_{1-\alpha /2}= Z_{0.95}= 1.648$

[(678.08-811.94)±1.648* $\sqrt{\frac{164^2}{12}+\frac{239^2}{16} }$ ]

[-259.49;-8.23]ppm

Both bonds of the interval are negative, this means that with a 90% confidence level the difference between the population means of the chemical measurements of region 1 and region 2 may be included in the calculated interval.

You cannot be sure without doing a hypothesis test but it may seem that the chemical measurements in region 1 are lower than the chemical measurements in region 2.

I hope it helps!

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4 years ago