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2 years ago

13

Rodney models the factorization of a trinomial with algebra tiles as shown. An algebra tile configuration. 4 tiles are in the Fa

ctor 1 spot: 1 is labeled + x, 3 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled negative. 14 tiles are in the Product spot: 1 is labeled + x squared and below it is a tile labeled negative x. To the right of negative x in 3 columns and 4 rows are 12 tiles labeled negative. Rodney forgot to place x-tiles in zero pairs in the model of the trinomial. How many zero pairs of x-tiles should he place in the model? 1 2 3 4

2 answers:

dangina [55]2 years ago

4 0

Answer:

3

Step-by-step explanation:

Nataly_w [17]2 years ago

4 0

Answer:

3

Step-by-step explanation:

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PLZ IN THIS ASAPP!!! ILL GIVE YOU BRAINLIST!!!

Anastaziya [24]

Answer:

14

Explanation:

The constant of proportionality is 14, when we divide all of the y values by all of the x values, we get 14.

hope this helps!

8 0

2 years ago

Crash Hospital Costs. A study was conducts to estimate hospital costs for accident victims who wore seat belts. Twenty randomly

kvv77 [185]

Answer:

a) The 99% confidence interval would be given by (5004.168;12603.832)

b) For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X =9004$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=5629 represent the sample standard deviation

n=20 represent the sample size

2) Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=20-1=19$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,19)".And we see that $t_{\alpha/2}=2.86$

Now we have everything in order to replace into formula (1):

$9004-2.86\frac{5629}{\sqrt{20}}=5004.168$

$9004+2.86\frac{5629}{\sqrt{20}}=12603.832$

So on this case the 99% confidence interval would be given by (5004.168;12603.832)

3) Part b

For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

7 0

2 years ago

The Cobb family of Fremont is looking at ways to decrease their home water and energy usage. Their current electric hot-water he

OverLord2011 [107]

Answer:

ai) 73000 gal/yr

aii) $730 per year

b) 1000 days

Step-by-step explanation:

ai) The water usage per day is ...

(4 showers/day)(10 min/shower)(5 gal/min) = 200 gal/day

Then the usage per year is ...

(200 gal/day)(365 days/yr) = 73,000 gal/yr

__

aii) The cost of electricity is the cost of heating half the water usage, so is ...

(0.20 kWh/gal)(1/2)(73,000 gal/yr)($0.10/kWh) = $730/yr

__

b) The current daily cost of electricity for heating water is ...

($730/yr)/(365 days/yr) = $2/day

If the cost is cut in half, it will be $1 per day. That means the savings is $1 per day, so it will take 1000 days to recover the $1000 initial cost. (Effectively, the average cost for the first 1000 days is the same as if the water heater had not been replaced.)

5 0

3 years ago

A cube in Emily's closet where she stores her jewelry has a side length of 1 1/4 feet.

Gnom [1K]

<u>Answer:</u>

1.95 cubic feet

<u>Step-by-step explanation:</u>

We are given that Emily stores her jewelry in a cube and the cube has a side length of $1\frac{1}{4}$ feet.

$1\frac{1}{4}$ feet in an decimal form is 1.25 feet.

We know that,

<em>volume of a cube = s $^{3}$ </em>

where <em>s</em> is the side length of the cube.

So substituting this value of side length of cube in the formula to get:

Volume of cube = $(1.25)^3$ = 1.95 feet

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3 years ago

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I need this quick!!What is the surface area of the square pyramid?<br> square units

AlexFokin [52]

Answer:

16

Step-by-step explanation:

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2 years ago

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