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3 years ago

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Mathematics

1 answer:

FinnZ [79.3K]3 years ago

6 0

Answer:

zero

Step-by-step explanation:

$\overrightarrow{u} = \overrightarrow{a} - \overrightarrow{b}\\\\\overrightarrow{v}= \overrightarrow{a} + \overrightarrow{b}\\\\\overrightarrow{u} . \overrightarrow{v} = a^2 - b^2 \\\\\overrightarrow{u} . \overrightarrow{v} = 2^2 - 2^2 = 0$

So, vector u and vector v are perpendicular to each other.

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The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Cels

Maru [420]

If you think of the equation as an equation for a line.

y=mx+b

where

C=5/9(F−32)

(

−

)

C=5/9F−5/9(32)

8 0

3 years ago

An insurance company has 10,000 automobile policyholders. The expected yearly claim per policyholder is $240, with a standard de

elena55 [62]

Answer:

almost 0%

Step-by-step explanation:

Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800

using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:

Sea sumatoria de x = SUMX, tenemos que:

$P (SUMX \geq 2700000) = P(\frac{SUMX - 240*10000}{800 *\sqrt{10000} } \geq \frac{2700000 - 240*10000}{800 *\sqrt{10000} })$

$= P (z\geq \frac{2700000 - 240*10000}{800 *\sqrt{10000}})$

= P (z => 3.75)

= 1 - P ( z < 3.75)

P = 1 - 0.999912

P = 0.000088

Which means that the probability is almost 0%

4 0

3 years ago

Which expression is equivalent to 2x - 17?

nlexa [21]

17-2x that should be right

6 0

3 years ago

Read 2 more answers

Use the image below to answer the following question:

nikdorinn [45]

Answer:

The ratios are both identical. (4 over 5 and 4 over 5)

Step-by-step explanation:

Th picture below represent the image you are referring.

sin x = opposite / hypotenuse

opposite side = 4

hypotenuse = 5

sin x° = 4/5

cos y° = adjacent/hypotenuse

adjacent = 4

hypotenuse = 5

cos y° = 4/5

The ratios are both identical (4 over 5 and 4 over 5)

6 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP! NO SCAMS ALLOWED!

Kitty [74]

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

$V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx$

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

$V=\pi\int\limits^5_3 {3^2}-0^2 \, dx$ and

$V-\pi\int\limits^5_3 {9} \, dx$ and integrating:

$V=\pi(9x\left \} {{5} \atop 3}} \right.$ and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

6 0

2 years ago