When you ___ , ___ or ____ polynomials, they are ____ which means the exponents are positive whole numbers

The speed at which cars travel on the highway has a normal distribution with a mean of 60 km/h and a standard deviation of 5 km/

oee [108]

The z-score of the speed value gives the measure of dispersion of the from

the mean observed speed.

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

The given parameters are;

The mean of the speed of cars on the highway, $\overline x$ = 60 km/h

The standard deviation of the cars on the highway, σ = 5 km/h

Required:

The probability that the speed of a car is between 63 km/h and 75 km/h

Solution;

The z-score for a speed of 63 km/h is given as follows;

$Z=\dfrac{x-\bar x }{\sigma }$

Which gives;

$Z=\dfrac{63-60 }{5 } = 0.6$

From the z-score table, we have;

P(x < 63) = 0.7257

The z-score for a speed of 75 km/h is given as follows;

$Z=\dfrac{75-60 }{5 } = 3$

Which gives, P(x < 75) = 0.9987

The probability that the speed of a car is between 63 km/h and 75 km/h is therefore;

P(63 < x < 75) = P(x < 75) - P(x < 63) = 0.9987 - 0.7257 = 0.273

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

Learn more here:

brainly.com/question/17489087

7 0

2 years ago

3. Polygon ABCDE is congruent to polygon TVSRK. EAB corresponds to _____.

mars1129 [50]

Answer: The answer is (A) ∠T.

Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.

In the two polygons, the corresponding vertices are

A ⇒ T

B ⇒ V

C ⇒ S

D ⇒ R

E ⇒ K.

Therefore, ∠EAB, which is ∠A will correspond to ∠T.

Thus, the correct option is (A) ∠T.

6 0

3 years ago

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Solve the equation : 2x + 7 = 21 and find the value of x. Is 2x + 7 = 21 a first degree equation or not?

Paraphin [41]

Answer:

The proposed equation is solved as follows:

2X + 7 = 21

2X = 21 - 7

2X = 14

X = 14 / 2

X = 7

The value of X is 7.

A first degree equation is an algebraic equation in which each term is either a constant or a product of a fixed term on a single variable. Therefore, this equation is a first degree one, since it only has a single variable, which is X.

4 0

3 years ago

Sin(xy)-x=0 find dy/Dx

MariettaO [177]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2989024

——————————

You have y as an implicit function of x:

sin(xy) – x = 0

Use implicit differentiation. As y is a function of x, then you must apply the chain rule there:

d    d
—— [ sin(xy) – x ] = —— (0)
dx dx

d    d d
—— [ sin(xy) ] – —— (x) = —— (0)
dx    dx    dx

d
—— [ sin(xy) ] – 1  = 0
dx

d
—— [ sin(xy) ]  = 1
dx

d
cos(xy) · —— (xy) = 1
dx

Now, apply the product rule for that last derivative:

$\mathsf{cos(xy)\cdot \left[\dfrac{d}{dx}(x)\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{cos(xy)\cdot \left[1\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{y\,cos(xy)+x\,cos(xy)\cdot \dfrac{dy}{dx}=1}$

dy
Isolate —— :
dx

dy
x cos(xy) · —— = 1 – y cos(xy)
dx

Assuming x cos(xy) ≠ 0,

dy    1 – y cos(xy)
—— = ————————    <———    this is the answer.
dx    x cos (xy)

I hope this helps. =)

4 0

4 years ago

To fence in 2 cows, josie used 64 feet of fence. for 3 cows, she used 96 feet of fence, and for 4 cows, she used 128 feet of fen

Viktor [21]

The answer is 192 feet

7 0

3 years ago

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