MATHEMATICS HIGH SCHOOL

A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random.The exact probability that Taylor picks an egg from the basket is ?

Answers

Answer 1

Answer:

Answer:

Exact Probability that Taylor picks an egg from basket is 0.725

Step-by-step explanation:

Number of white eggs in basket = 14

Number of brown eggs in basket = 15

Number of lemons in basket = 11

Total items in basket = 14 + 15 + 11 = 40

No of eggs in basket = 14 + 15 = 29

$Probability=(Number\:of\:favorable\:outcome)/(Number\:of\:total\:outcome)=(29)/(40)=0.725$

Therefore, Exact Probability that Taylor picks an egg from basket is 0.725

Answer 2

Answer: 0.40 percent chance of picking up an egg

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If f(x) = x2 and g(x) = 3x + 1, then g(f(2))= ?
Helpp hurry plzzz!! Which is an equation of the line parallel to 4y - 7x = 8 and passes through (-4, 0)?A. y = 7/4x + 7B. y = - 7x - 28C. y = - 7/4x - 7D. y = 7x + 28
Write the following series in sigma notation.7+11+15+19+23
What's the answer please
How many solutions does the system 2y=10x-14 and 5x-y=7 have

Identify the value of p.

p = 11
p = 10
p = 12
p = 13

Answers

Answer:

Step-by-step explanation:

You may recall that (5, 12, 13) is a Pythagorean triple. That would tell you ...

p = 12

If you have not memorized a few useful Pythagorean triples, you can use the Pythagorean theorem to solve for p. The sum of squares of the sides is the square of the hypotenuse:

5² +p² = (p+1)²

p² +25 = p² +2p +1

24 = 2p . . . . . . . . subtract p²+1 from both sides

p = 12 . . . . . . divide by 2

_____

Additional comment

Some of the Pythagorean triples commonly seen in algebra and geometry problems are ...

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

Of course, multiples of these are used, too. For example, (6, 8. 10) is a multiple of the (3, 4, 5) triple.

Answer:

Step-by-step explanation:

5^2 + p^2 = (p+1)^2

25 + p^2 = p^2 + 2p + 1

25 = 2p + 1

24 = 2p

12 = p

A rectangle is 5 √7 + 2 √3 meters long and 6 √7 - 3 √3 meters wide. a. Find the perimeter of the rectangle in simplest form. 2 b. Find the area of the rectangle in simplest form.

Answers

I think the answer is 16.70

A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 grams. You buy a box of mints that weighs 95 grams. What is your confidence that the box you bought did not come from the factory?A 90%
B 95%
C 10%
D 5%

Answers

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Population Mean weight ( $\mu$ )= 10 grams a piece

Standard deviation of the weight of a box = 3 grams

Number of mints = 10

We need to buy a box of mints that weighs 95 grams.

Sample mean is given by

$x=(95)/(10)=9.5\ grams$

First we find out the standard error which is given by

$s=(\sigma)/(√(n))\n\n=(3)/(√(10))\n\n=0.94868$

Since it is normal distribution, so, we will find z-score.

$z=(x-\mu)/(s)\n\nz=(9.5-10)/(0.94868)\n\nz=-0.527\n\nz=-0.53$

The area to the left of a z-score of -0.53 = 0.29805.

So, it may be 90% or 95 % confidence.

For 95% confidence level,

$\alpha=(1-0.95)/(2)=0.025$

Similarly,

For 90% confidence level,

$\alpha=(1-0.90)/(2)=0.05$

We have little confidence that the box he bought did not come from the factory. that is much smaller than 0.05.

So, it is safe to assume 90% confidence.

So, we will get 90% confidence, critical value = 1.645

Margin of error is given by

$(Standard\ deviation)* (critical\ value)\n\n=0.94868* 1.645\n\n=1.56$

So, confidence interval will be

(10-1.56,10+1.56)

=(8.44,11.56)

Hence, Option 'A' is correct.

The right answer for the question that is being asked and shown above is that: "C 10%." A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 grams. You buy a box of mints that weighs 95 grams.

Colette has already spent 3 minutes on the phone, and she expects to spend 1 more minutewith every phone call she routes. In all, how many phone calls does Colette have to route
to spend a total of 26 minutes on the phone?

Answers

If she spends 4 minutes on each call she would need to make 7 calls

A cell phone company charges $55 per month for unlimited minutes plus $0.25 per text sent. If the charges to Dayne's cell phone for the last month came to $100, how many texts did Aly sent?

Answers

A: 180
Subtract 100 - 55 which gets you 45 then divide that with .25 = 180

400 because 100/0.25 = 400

What is 4cos2(165°) – 2 expressed as a single trigonometric function? 4cos(330°) 2cos(330°) 4cos(82.5°) 2cos(82.5°)

Answers

Expressing 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

Meaning of trigonometric function

Trigonometric function can be defined as real functions in mathematics that forms a relationship between an angle of a right-angled triangle to the ratio of the length of two sides.

Trigonometric function is very important as it is mostly concerned with functions of angles and their application in calculation

In conclusion, to express 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

Learn more about trigonometric function: brainly.com/question/24349828

#SPJ2

Answer:

2cos(330º)

Step-by-step explanation:

both equal to √3

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