c. To what value does the integral actually converge?

Answer:

**Answer:**

**Step-by-step explanation:**

We are to integrate the function

from 0 to b for different ascending values of x.

Now we substitute the limits

When b =10

I = integral value =

b =50, I =

b =100, I =

b =1000 I=

b) As b increases exponent increases in negative, or denominator increases hence when b becomes large this will be a decreasing sequence hence converges

c) Converges to =10^5

Thien and her friends earned $80 washing cars. Thien received $30 from this amount.What is Thien's share as a percentage of the total amount earned?

What is the total interest paid on an $185,000 loan at 6.25% APR over 15 years (monthly payments)?

A student is applying to Harvard and Dartmouth. He estimates that he has a probability of .5 of being accepted at Dartmouth and .3 of being accepted at Harvard. He further estimates the probability that he will be accepted by both is .2. What is the probability that he is accepted by Dartmouth if he is accepted by Harvard? Is the event "accepted at Harvard" independent of the event "accepted at Dartmouth"?

What is a rational number

On an intramural softball team, the proportion of hits to at bats for the entire team during the last season was 30% of 300 attempts. Estimate the true proportion of hits using a 90% CI. The answers need to be proportions (not percents) and rounded to the nearest hundredth (two (2) decimal places) to be counted as correct. (For example, if my CI is (0.1002, 0.2159) then they need to be input as 0.10 and 0.22 to be correct. **These are not the answers to this question :-) **)The lower bound is____ and the upper bound is ____

What is the total interest paid on an $185,000 loan at 6.25% APR over 15 years (monthly payments)?

A student is applying to Harvard and Dartmouth. He estimates that he has a probability of .5 of being accepted at Dartmouth and .3 of being accepted at Harvard. He further estimates the probability that he will be accepted by both is .2. What is the probability that he is accepted by Dartmouth if he is accepted by Harvard? Is the event "accepted at Harvard" independent of the event "accepted at Dartmouth"?

What is a rational number

On an intramural softball team, the proportion of hits to at bats for the entire team during the last season was 30% of 300 attempts. Estimate the true proportion of hits using a 90% CI. The answers need to be proportions (not percents) and rounded to the nearest hundredth (two (2) decimal places) to be counted as correct. (For example, if my CI is (0.1002, 0.2159) then they need to be input as 0.10 and 0.22 to be correct. **These are not the answers to this question :-) **)The lower bound is____ and the upper bound is ____

you mean evaluate

n+8

if n=15

15+8=

10+5+8=

10+3+2+8=

13+10=

23

n+8

if n=15

15+8=

10+5+8=

10+3+2+8=

13+10=

23

plug in 15 so n+8 ...15+8=23

the answer is 3 reminder 1

**Answer:**

**Step-by-step explanation:**

The urn contains 3blue balls 5 red balls

a) probability of getting a red ball

P=no of favourable of outcomes /total no outcomes

P(red ball) = 5/8

b) Probability of blue ball

P(blue ball) = 3/8

c) Odds getting a red ball

odds in favour of any object = m/n

m : event to occur

n : event will not occur

Odds(red ball) = 5/3

d)

Odds(blue) = 3/5

f(x) = -xcos3x

**Answer:**

**Step-by-step explanation:**

Use the Product Rule for derivatives, which states that:

In the function we are given, , we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

Now let's apply the product rule to f(x) = -xcos3x.

Simplify this equation.

Multiply x and 3 together and remove the parentheses.

Therefore, this is the derivative of the function .

Hi there!

Answer:

a) 0.2588

b) 0.044015

c) 0.12609

Step-by-step explanation:

Using the TI-84 PLUS calculator

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question, we know that:

μ = 119 inches

standard deviation σ = 17 inches

(a) What proportion of trees are more than 130 inches tall?

x = 130 inches

z = (130-119)/17

= 0.64706

Probabilty value from Z-Table:

P(x<130) = 0.7412

P(x>130) = 1 - P(x<130) = 0.2588

(b) What proportion of trees are less than 90 inches tall?

x = 90 inches

z = (90-119)/17

=-1.70588

Probability value from Z-Table:

P(x<90) = 0.044015

(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?

For x = 95

z = (95-119)/17

= -1.41176

Probability value from Z-Table:

P(x = 95) = 0.07901

For x = 105

z = (105 -119)/17

=-0.82353

Probability value from Z-Table:

P(x<105) = 0.2051

The probability that a randomly chosen tree is between 95 and 105 inches tall

P(x = 105) - P(x = 95)

0.2051 - 0.07901

= 0.12609

**Answer:**

3

**Step-by-step explanation:no**