MATHEMATICS
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Answer: 360 miles per 5 hours 5!!!!

Answer: First you have to find the speec of the bicycle by using the formula speed = distance/time

120/5=24miles per h

speed of the motorcycle is 3 times as fast as the bicycle so 24x3 = 72miles per hour is the speed for the motorcycle.

120/5=24miles per h

speed of the motorcycle is 3 times as fast as the bicycle so 24x3 = 72miles per hour is the speed for the motorcycle.

HIGH SCHOOL

About 81% of the world's population can roll their tongue. What is the probability that in a random sample of 2,000 people, more than 1,600 of them can roll their tongue? A. 0.8729

B. 0

C. 1

D. 0.1271

E. 0.19

The probability that in a random sample of 2,000 people, more than 1,600 of them can roll their tongues is 0.8729.

What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard daviation

Let's call the random variable X the number of people in the sample of 2,000 that can roll their tongues. We want to find P(X > 1600).

Since the mean number of people who can roll their tongue is given as

= 0.81 × 2000 = 1620,

we can use the normal approximation to the binomial distribution to solve for this probability.

The standard deviation can be found using the formula:

=√ (n × p × (1 - p))

= √ (2000 × 0.81 × (1 - 0.81))

= 17.54

Next, we can standardize the value of 1600 by subtracting the mean and dividing by the standard deviation:

z = (1600 - 1620) / 17.54 = -114025

Finally, we can use a standard normal table to find the probability of a z-score being less than -1.14025:

P(Z < -0.40) = 0.12709

Therefore, the probability that more than 1600 people in a sample of 2000 can roll their tongues is 1 - 0.12709 = 0.8729

Thus, the probability that in a random sample of 2,000 people, more than 1,600 of them can roll their tongues is 0.8729.

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ3

Answer:

A. 0.8729

Step-by-step explanation:

Since the sample size is large enough (np > 10 and nq > 10), we can estimate this with a normal distribution.

μ = p

μ = 0.81

σ = √(pq / n)

σ = √(0.81 (1 − 0.81) / 2000)

σ = 0.0088

x = 1600 / 2000

x = 0.8

Find the z score:

z = (x − μ) / σ

z = (0.8 − 0.81) / 0.0088

z = -1.14

Use a calculator or table to find the probability.

P(Z > -1.14)

1 − P(Z < -1.14)

1 − 0.1271

0.8729

MIDDLE SCHOOL

How to solve each equation by completing a square -4x^2+10x-40=-9x^2

Answer:

x = -4 or 2

Step-by-step explanation:

-4x² + 10x − 40 = -9x²

First, move the x terms to one side and the constant to the other.

5x² + 10x = 40

Divide by the leading coefficient:

x² + 2x = 8

Take half of the b coefficient, square it, then add to both sides.

(2/2)² = 1

x² + 2x + 1 = 8 + 1

x² + 2x + 1 = 9

Factor the perfect square:

(x + 1)² = 9

Solve for x:

x + 1 = ±3

x = -1 ± 3

x = -4 or 2

Answer:x=2,-4

Step-by-step explanation:

HIGH SCHOOL

Use mental math to determine the solution to x - 3 = 10 .

First Step: Leave "x" alone, pass the 3 to the other side X= 10+3 Second Step: Add 10 plus 3 X= 13 So your answer is: x=13

X=13 that is what I got

MIDDLE SCHOOL

Y'ALL! WHAT IS:

46(74 + 46) + 57(9 + 36)

Answer:

331

Step-by-step explanation:

Add 74 + 46 + 57 = 177

Add 9 + 36 = 45

Add 45 + 46 = 91

HIGH SCHOOL

What number is 74% of 58

74% = 74 / 100

58 * 74 / 100 = 4292/100 = 42.92

58 * 74 / 100 = 4292/100 = 42.92

MIDDLE SCHOOL

The length of a rectangle is 5 cm greater than its width. The perimeter is 42 cm. What are the dimensions of the rectangle.

Answer:

length=25 width=17

Step-by-step explanation:

l+w=42

start by guessing a pair of numbers that equals 42 i chose 22+20

since these two numbers are 2 digits apart,

5-2=3

now we have to add 3 to 22 and subtract 3 from 20

now it is 25+17 which still equals 42

HIGH SCHOOL

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve. x = plus-or-minus i StartRoot 2 EndRoot and x = ±1 x = plus-or-minus i StartRoot 2 EndRoot and x = ±i x = plus-or-minus StartRoot 2 EndRoot and x = ±i x = plus-or-minus StartRoot 2 EndRoot and x = ±1

Answer:

Step-by-step explanation:

We have been given an equation . We are asked to find the solutions of our given equation using u-substitution.

We can rewrite our given equation as:

Let us assume that .

Upon substituting back the value of u, we will get:

Now we will use imaginary unit i. We know that .

Therefore, the solutions for our given equation are .

Answer:

x = ± i & ± i√2

Step-by-step explanation:

The given equation is x⁴ + 3x² + 2 = 0

let u = x²

∴ u² + 3u + 2 = 0

∴ ( u + 2 ) ( u + 1 ) = 0

∴ u = -1 or -2

∴ x² = -1 or x² = -2

∴ x = ±√(-1) = ± i

And x = ±√(-2) = ± i √2

Note i = √(-1)

HIGH SCHOOL

Which relation is a direct variation that contains the ordered pair (2, 7)? Y=4x-1

y=2/7x

y=7/2x

y=7/x

Lets write equation of a function:

y = kx + n

Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.

First option gets 7=7 but it isnt direct variation because n is not equal to 0

third option is indeed correct. once we implement coordinates (2,7) we get 7=7

Answer is

y = 7/2x

y = kx + n

Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.

First option gets 7=7 but it isnt direct variation because n is not equal to 0

third option is indeed correct. once we implement coordinates (2,7) we get 7=7

Answer is

y = 7/2x

Answer: The guy up above, is correct. The answer is D

Step-by-step explanation: Edge 2021

HIGH SCHOOL

A manufacturer has 400 pounds of clay to make dishes. Each dish made uses 10 ounces of clay. What is the greatest possible number of dishes that can be made with the clay ? (1 pound = 16 ounces) A= 250

B= 640

C= 4,000

D= 64,000

Please show your WORK !

Easy peasy

400lb convert to oz

400 times 16=6400oz

6400/10=640

answer is 640 oz

C is answer

400lb convert to oz

400 times 16=6400oz

6400/10=640

answer is 640 oz

C is answer