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musickatia [10]
3 years ago
12

4/10 to the lowest terms

Mathematics
2 answers:
grin007 [14]3 years ago
8 0
2/5 is in the lowest terms or simplest form
Sati [7]3 years ago
3 0
2/5, you divide 4/10 by 2/2 and when you do that you get 2/5
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The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She
Vinil7 [7]

Answer:

128\text{ ft}^{2}

Step-by-step explanation:

We have been given that the area of a square is given by x^2, where x is the length of one side.

Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.

We can represent this information in an equation as:

\text{Area of Mary's new garden}=2x^{2}

Therefore, the expression 2x^2 will represent the area of Mary's new garden.

To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.

\text{Area of Mary's new garden}=2(8\text{ ft})^{2}

\text{Area of Mary's new garden}=2*64\text{ ft}^{2}

\text{Area of Mary's new garden}=128\text{ ft}^{2}

Therefore, the area of Mary's new garden will be 128 square feet.

4 0
3 years ago
Solo necesito ayuda con las que están en amarillo las otras ya están realizadas
GalinKa [24]
Solo tienes que divide
4 0
3 years ago
If line r and line s are parallel and ∠2 measures 45°, what is the measure of ∠3?
Illusion [34]
The measure of anngle 3 is 135
3 0
3 years ago
Police use a radar unit is used to measure speeds of cars on a freeway. The speeds are normally distributed with a mean of 90 km
vagabundo [1.1K]

Answer:

A. P(x≥100)=0.1587

B. P(x≤0)≈0

Step-by-step explanation:

A. Cause we know the distribution of the data, the method used to solve it is called "Normalization" and we need to have the Mean and the Standard deviation of the data. The method consist in the following equation

P(x≤a)=P( z=((x-μ)/σ) ≤ b=((a-μ)/σ) )

Considering <u>μ as the Mean</u> and <u>σ as the Standard deviation</u>. At first, we had a probability in the normal distribution with Mean=90 and STD=10 but <u>that kind of exercises is not meant to find that probability directly but by using this process</u>.

After we normalize the probability, now <u>we have a probability in a specific normal distribution that has Mean=0 and STD=1 and the difference with what we had before is that now we are able to use tools to find probabilities in a normal standard distribution</u>. My favorite of them is a chart that show the approximate values of a lot of probabilities (i attached it to this answer). I´m going to explain point A as an example:

We look for the probability that P(x≥100), but we don´t have an easy method to use there, so we normalize:

P(x≥100)=P( (x-μ)/σ ≥ (100-μ)/σ )

P(x≥100)=P( z ≥ (100-90)/10 )

P(x≥100)=P( z ≥ 1 )

And now we are able to use the chart, let me explain: First, the chart only works with P(z ≤ b), so we have to change it with properties of probabilities before using the table.

P(z≥1)=1-P(z≤1)

And finally we use the chart:

<u>the value of P(z≤1) is in the table, we look for the row with +1 and the column with the decimal part (in this case 0) and with coordinates (1,0) there´s the value</u>:

P(z≤1)=0.8413

But we need P(z≥1) so we use the previous equality

P(z≥1)=1-P(z≤1)

P(z≥1)=1-0.8413

P(z≥1)=0.1587

Because P(x≥100)=P(z≥1), our final answer is 0.1587

B. We use the same process to try to understand what the probability of P(x≤0) represents.

P(x≤0)=P(z≤ (0-90)/10)

P(x≤0)=P( z ≤ -9 )

But when we try to look for its value in the chart It isn´t even there, what could it mean?

<u>A normal distribution function is always increasing</u>, that means that "a≤b if and only if P(x≤a) ≤ P(x≤b)". so we conclude:

P(z≤-9) ≤ P(z≤-3) (The lowest probability in the chart)

P(z≤-9) ≤ 0.0013

P(z≤-9) is way lower than 0.0013 (they aren´t even close) but we know that probability is always positive,  and because of that:

P(x≤0)=P(z≤-9)≈0

5 0
3 years ago
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked
Dafna11 [192]
This question does not make much sense. Brigid has already picked 112 bushels, and she picks at a rate of 58 bushels per hour, the scenario question does not make any sense. 58h + 112 = 5...? What does this mean? But whatever the left side of the equation is, first subtract 112 from both sides and divide by 58, then you will get the value of "h."
8 0
3 years ago
Read 2 more answers
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