Ask question

Ask question

All categories

Oduvanchick [21]

4 years ago

7

a wheel has a radius of 1.4 feet and turns with an angular speed of 2.65 radians per second. Determine the distance traveled by

a point on the wheel in 3 minutes.

1 answer:

Debora [2.8K]4 years ago

7 0

Linear Velocity = angular velocity x radius
V = 2.65 x 1.4 = 3.71 feets per second.
Distance = velocity x time = 3.71 x 3 x 60 = 667.8 feet.

You might be interested in

Simplify the expression by combining like terms.<br> 7.2(x + 3) + 4(x - 3)

siniylev [52]

Answer: 11.2x -9.6

Step-by-step explanation:

7.2(x + 3) + 4(x - 3) - 12 - 7.2* (x + 3) + + 4*(x - 3) then

7.2x + 21.6 + 4x - 12 - Combining like terms 7.2x+ 4x and numbers + 21.6- 12

7.2x + 4x +21.6 -12 Then we have

11.2x -9.6

3 0

4 years ago

_____ uses established rules to draw conclusions, whereas in _____, such rules are not established, and we may not know the cons

aliina [53]

Answer:

Reasoning, Decision making

Step-by-step explanation:

The reasoning is the process of mental. In the process, reasoning needs a reason for establishing the facts. This is a cognitive process. All people engage in reasoning due to their ability to introspection. The reasoning is different in every field in every aspect.

The cognitive process plays a role in both reasoning and decision making. These both are the sub-field creative thinking. Many factors create a barrier in decision making such as incomplete information, emotional and physical resources.

Thus when we may not know the consequences we used both reasoning and decision making.

5 0

3 years ago

A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a

zaharov [31]

Answer:

a) $P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

b) $P(X$

And we can find this probability uing the normal standard table:

$P(z$

c) $P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(5,1.2)$

Where $\mu=5$ and $\sigma=1.2$

We are interested on this probability

$P(X>3.5)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

Part b

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability uing the normal standard table:

$P(z$

Part c

$P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

3 0

3 years ago

7777777777777777777777777777777777777777777777777777777777x1

Vikki [24]

Answer:

7777777777777777777777777777777777777777777777777777777777

Step-by-step explanation:

Any number multiplied by 1 is itself.

6 0

3 years ago

The function h(x)=x^2+3 and g(x)=x^2-6. if g(x)=h(x)+k, what us the value of k

lutik1710 [3]

Answer:

The value of k is -9

Step-by-step explanation:

Subsitute

g(x)=h(x)+k

$(x^2-6)=(x^2+3)+k$

$x^2-6=x^2+3+k$

subtract $x^2+3$ from both sides (or add $-x^2-3$ to both sides)

$-9=k$

$k=-9$

3 0

3 years ago