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Igoryamba
3 years ago
13

Consider the figure below. If ΔABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what wi

ll be the x-coordinate of C’ ?

Mathematics
1 answer:
Nostrana [21]3 years ago
7 0

Answer:

-7

Step-by-step explanation:

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W=-37/24, 1 13/24, or -1.5416
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Y is 5 less than the product of 4 and x
Rudiy27
The answer you are looking for is 4x-5
4 0
3 years ago
At an elevation of 1221.4 feet, Lake Mead will hold 28,945,000 acre-feet of water. Which number is the best estimate of this amo
dsp73

The estimate of the amount 28,945,000 is 3 × 10⁷

<h3>What is an estimate of a value?</h3>

An estimate is a rough or approximate calculation or judgement value.

The question is with regards to the scientific notation which is of the form a × 10ᵇ, where absolute <em>a</em> is of a value 1 ≤ a < 10

The scientific notation form of a number is found as follows;

The decimal point on the number is moved from its position to the point such that the number of non zero numbers to the left of the decimal point is 1

The number <em>b</em> is the number of places to which the decimal point is moved.

<em>b</em> is positive when the decimal point is moved to the left

<em>b</em> is negative when the decimal point in the number is moved to the right

<em>b</em> is zero when the decimal point is not moved

The scientific notation number formed, <em>a</em> × 10ᵇ, which is read as <em>a</em> times 10 raised to the power <em>b</em>.

The zeros in the tail to the right of the decimal point are removed

The number 28,945,000 in scientific notation is 2.8945 × 10⁷

The number part of the scientific notation is approximated to the next higher whole number, as follows;

The first digit to the right of the decimal point is 8 which is larger than 5, therefore the 2 is increased to 3

The approximated number is therefore;

  • 3 × 10⁷

Learn more about scientific notation in mathematics here:

brainly.com/question/5756316

#SPJ1

6 0
1 year ago
SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council
fgiga [73]

Answer:

0.91517

Step-by-step explanation:

Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.

Let A - the event passing in SAT with atleast 1500

B - getting award i.e getting atleast 1350

Required probability = P(B/A)

= P(X>1500)/P(X>1350)

X is N (1100, 200)

Corresponding Z score = \frac{x-1100}{200}

P(X>1500)/P(X>1350)\\= \frac{P(Z>2)}{P(Z>1.25} \\=\frac{0.89435}{0.97725} \\=0.91517

4 0
4 years ago
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