Answer:

It will take the **construction** company 48 hours to remove 36 tons of dirt from the site.The construction company can remove \( \frac{3}{4} \) tons of dirt from the site each hour.

To find out how long it will take them to **remove **36 tons of dirt, we can set up a proportion

Given:Amount of dirt removed in one** hour **=

**Total** amount of dirt to be removed = 36 tons

Let t **represent **the time in hours it will take to remove 36 tons of dirt. Plugging in the values:

Solving for hours

So, it will take the construction company 48 hours to remove 36 tons of dirt from the site.

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Answer:

**Answer:**

48hours

**Step-by-step explanation:**

36÷(3/4)

36*(4/3)

144/3

48

You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 5.7 percent interest. If the two accounts pay 4 percent and 6 percent interest, how much should you invest in each account?$550 in 4%, $450 in 6%$300 in 4%, $700 in 6%$700 in 4%, $300 in 6%$150 in 4%, $850 in 6%

Television viewing reached a new high when the global information and measurement company reported a mean daily viewing time of hours per household. Use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household. a. What is the probability that a household views television between 3 and 9 hours a day (to 4 decimals)? b. How many hours of television viewing must a household have in order to be in the 2%top of all television viewing households (to 2 decimals)? hours c. What is the probability that a household views television more than hours a day (to 4 decimals)?

What is the slope of the line?

Multiply.(3x+4)(2x−1)Express the answer in standard form.Enter your answer in the box.

50 POINTSTyrone rolls a standard number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 155 sixes. Find the experimental probability of rolling a six, based on Tyrone’s experiment. Round the answer to the nearest thousandth.

Television viewing reached a new high when the global information and measurement company reported a mean daily viewing time of hours per household. Use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household. a. What is the probability that a household views television between 3 and 9 hours a day (to 4 decimals)? b. How many hours of television viewing must a household have in order to be in the 2%top of all television viewing households (to 2 decimals)? hours c. What is the probability that a household views television more than hours a day (to 4 decimals)?

What is the slope of the line?

Multiply.(3x+4)(2x−1)Express the answer in standard form.Enter your answer in the box.

50 POINTSTyrone rolls a standard number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 155 sixes. Find the experimental probability of rolling a six, based on Tyrone’s experiment. Round the answer to the nearest thousandth.

(B) 14.5%

(C) 7.5%

(D) 2%

**Answer: (A) 30%**

**Step-by-step explanation:**

**Given : **The probability that a bird will lay an egg =0.75

The probability that the egg will hatch =0.50

Now, the probability that the egg will lay an egg and hatch =

**Also,The probability that the chick will be eaten by a snake before it fledges **=0.20

**Then, the probability that the chick will not be eaten by a snake before it fledges **: 1-0.20=0.80

**Now, the probability that a parent will have progeny that survive to adulthood will be **:-

**Hence, the probability that a parent will have progeny that survive to adulthood **= 30%

**Answer:**

((2^(-2))÷(3^3))^4=

**Step-by-step explanation: expand**

**Answer:**

**n=3.8416≅4**

**So Minimum Sample Size is 4**

**Step-by-step explanation:**

In order to find the minimum sample size, the formula we use will be:

Where:

**n** is sample size

**Z** is the distribution

**S** is the standard deviation

**E** is the Margin of error

S=3 ,E=3

For Z:

Alpha=1-0.95=0.05

Alpha/2=0.025=2.5%

**From Cumulative Standard Distribution Table:**

Z at Alpha/2 = 1.960

**n=3.8416≅4**

**So Minimum Sample Size is 4**

3x-10=2(x+6)

3x-10=2x+12

subtract 2x (to cancel it out and combine like terms)

[3x-2x=x]

x-10=12

add 10

[12+10=22]

x=22

A. y ≤ −2x + 3

y ≤ x + 3

B. y ≥ −2x + 3

y ≥ x + 3

C. y ≤ −3x + 2

y ≤ −x + 2

D. y > −2x + 3

y > x + 3

The answer is A.

We can first eliminate D since it uses these (<, >) signs and the lines are shaded, indicating the points on those lines are solutions.

We can also eliminate C because the y intercept in C’s lines is 2, while in the graph, they are both 3.

Finally, we can look at both inequalities on the graph and see that the shaded areas are both underneath the line. This means that y is less than the equation for the line, eliminating B

So, the answer is A

Hope this made sense!!

We can first eliminate D since it uses these (<, >) signs and the lines are shaded, indicating the points on those lines are solutions.

We can also eliminate C because the y intercept in C’s lines is 2, while in the graph, they are both 3.

Finally, we can look at both inequalities on the graph and see that the shaded areas are both underneath the line. This means that y is less than the equation for the line, eliminating B

So, the answer is A

Hope this made sense!!

Find, if possible, the slope of the line through the points (2 , 5) and (-4 , 5)

**Answer:**

0

**Step-by-step explanation:**

m=(y2-y1)/(x2-x1)

m=(5-5)/(-4-2)

m=0/-6

m=0