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rusak2 [61]
3 years ago
11

Sally's summer punch recipie is a combo of lemonade and fruit punch.

Mathematics
1 answer:
creativ13 [48]3 years ago
6 0

Answer:

anything else?

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In circle O, the measure of ∠ROW is 110°. What is the measure of arc RAW?
Tanya [424]

Answer:

250°

Step-by-step explanation:

We know that a circle has a total of 360°.

Now we know that ∠ROW is 110° and that Arc RAW has the same End points as ∠ROW.

We can safely assume that arc RAW will be the difference of ∠ROW and 360°.

So we then get:

360° - 110° = 250°

This means that Arc RAW will be 250°

4 0
3 years ago
What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phon
vovangra [49]

Answer:

Hence, the probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7887              

Step-by-step explanation:

We are given the following information in the question:

We treat people using phones in the store for guidance  as a success.

P(People use phone for guidance) = 57% = 0.57

Then the number of people follows a binomial distribution, where

Formula:

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 14 and x = 7

We have to evaluate:

P(x \geq 7) = P(x = 7) + P(x = 8) + P(x = 9) + P(x = 10) + P(x =11) + P(x = 12) + P(x = 13) + P(x = 14)\\= \binom{14}{7}(0.57)^7(1-0.57)^7 + \binom{14}{8}(0.57)^8(1-0.57)^6 + \binom{14}{7}(0.57)^9(1-0.57)^5 + \binom{14}{7}(0.57)^{10}(1-0.57)^4 + \binom{14}{7}(0.57)^{11}(1-0.79)^3 + \binom{14}{7}(0.57)^{12}(1-0.57)^2 + \binom{14}{7}(0.57)^{13}(1-0.57)^1 + \binom{14}{7}(0.57)^{14}(1-0.57)^0\\= 0.7887 = 78.67\%

Hence, the probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7887

5 0
3 years ago
What is the diagonal of asquare with length 3cm​
Damm [24]

Answer:

3√2

Step-by-step explanation:

If you draw the diagonal, you have a 45°45°90° triangle.

The two legs are 3, so the hypotenuse is 3√2

7 0
3 years ago
Perform the indicated operation and simplify. (x+3)(x2−5x+2) Write your answer in standard form. No spaces when entering your an
Deffense [45]

Answer:

x^3-2x^2-13x+6

Step-by-step explanation:

We are to simplify the expression (x+3)(x^2−5x+2). This is as shown;

(x+3)(x^2−5x+2)

Expand

= x(x^2)-5x(x)+2x+3x^2-3(5x)+6

= x^3 - 5x^2+2x+3x^2-15x+6

Collect the like terms

= x^3 - 5x^2+3x^2+2x-15x=6

= x^3-2x^2-13x+6

This gives the required expression

6 0
3 years ago
The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x,
neonofarm [45]

Answer:

The width is: w(x)=4x^2

The length is l(x)=2x^2+3x+5

Step-by-step explanation:

The given rectangle has area given algebraically by the function:

a(x)=8x^5+12x^3+20x^2

The width of the rectangle is the greatest common factor of 8x^5,  12x^3 and 20x^2

That is the width is: w(x)=4x^2

We now divide the area by the width to obtain the length of the rectangle:

l(x)=\frac{8x^5+12x^3+20x^2}{4x^2}

This simplifies to:

l(x)=\frac{8x^5}{4x^2}+\frac{12x^3}{4x^2}+\frac{20x^2}{4x^2}

l(x)=2x^2+3x+5

8 0
3 years ago
Read 2 more answers
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