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3 years ago

Evaluate the expression.

Mathematics

1 answer:

RideAnS [48]3 years ago

7 0

When a number is followed by an exclamation point (!) it means that number gets multiplied by all the numbers below it.

So 7! = 7*6*5*4*3*2*1 = 5040

4! = 4*3*2*1 = 24

6! = 6*5*4*3*2*1 = 720

Now the equation is:

5040 * 24 -720

5040 *24 = 120960

120960 - 720 = 120240

The answer is A.

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nika2105 [10]

Sum of interior angles of triangle = 180

x + x + 6 + 3x - 16 = 180

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3 years ago

Which two values of x satisfy the equation square root 3-2cos x = 2?

Andrei [34K]

Answer: x=2π/3 and x=4π/3

Step-by-step explanation:

The equation we have is $\sqrt{3-2cosx} =2$ . All we have to do is get cosine alone to find the 2 values of x.

$3-2cosx=4\\-2cosx=1\\cosx=-\frac{1}{2}$

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.

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3 years ago

If 150g of sugar is used for 5 cakes How much is used for 7 cakes?:)

KIM [24]

Well, if 150 grams is used for 5 cakes, we can divide that.
150/5=30. 30 grams of sugar are used for each cake
You want to know how many grams for 7 cakes
30x7=210 grams of sugar are used for seven cakes.
Hope this helps!

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3 years ago

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fgiga [73]

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Step-by-step explanation:

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3 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

Whitepunk [10]

Answer: $\mu=2.88\ \&\ \sigma^2=0.115$

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

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$\mu=np\\\\\sigma^2=np(1-p)$

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

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Hence, the mean and variance of X are 2.88 and 0.115 respectively.

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3 years ago