In the 1960 Olympics, Wilma Rudolph of the United States won the women's 100 meter run in 11.0 seconds. In 1988, Florence Griffith-Joyner, also of
the United States, won with a time of 10.49 seconds, which is still the fastest women's time to this date. Find the percent of decrease in the winning
time. Round to the nearest tenth
% decrease

Answer:

Step-by-step explanation:

(5-2i) ( 5+2i) = (5^2) - ((2i)^2) = 25 - 4i^2

= 25 - 4(-1) = 25 +4 = 29 + 0i

The Solution is 29 + 0i.

The sum of a real number and an imaginary number is called a complex number. A complex number is usually represented by z and has the form a + ib. Here, both a and b are real numbers. The real part, denoted by Re(z), is represented by the value "a," and the imaginary part, represented by "b," is represented by Im(z). Also known as an imaginary number, ib.

Given Expression (5 – 2i)(5 + 2i)

we know a² - b² = (a - b)(a + b)

(5 – 2i)(5 + 2i) = 5² - (2i)²

= 25 - 4i²

and i² = -1

= 25 - 4(-1)

= 25 + 4 = 29

since the solution has 0i

so the equation is 29 + 0i

where a = 29 and b = 0

Hence, equation is 29 + 0i.

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Answer:

8

Step-by-step explanation:

The answer is 8 multiple

Hope it helps

Based on the given parameters, the value of x such that the lines are parallel is 8

Parallel lines are lines that extend indefinitely and do not meet

The given parameter is the lines in the figure

From the figure, we have the following angles:

50 and x + 58

The angles are vertical angles

Vertical angles are congruent

So, we have

x + 50 = 58

Collect the like terms

x = 58 - 8

Evaluate the like terms

x = 8

Hence, the value of x such that the lines are parallel is 8

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Answer: 158

Step-by-step explanation:

-4 (-9f - 8) + 6f

-4 (-9(3) - 8) + 6(3)

-4(-27-8)+18

-4(-35)+18

140+18

158

Answer:

the answer is 360 degrees

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

I say its 40+10 because

40-10 (one number is 10 less than)=30

10(3) (three times the other number)=30

so 40+10=50

Answer:

9

Step-by-step explanation:

Answer:

1.) Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. ;

df = 24 ;

H0 : μ = 8.5

H1 : μ ≠ 8.5 ;

1.250 ;

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

There is insufficient evidence at the 0.05 level to reject the null hypothesis.

Step-by-step explanation:

Given :

Sample size, n = 25

xbar = 9 ; Standard deviation, s = 2

α = 0.05 ;

The degree of freedom, df = n - 1 ; 25 - 1 = 24

The hypothesis (two tailed)

H0 : μ = 8.5

H1 : μ ≠ 8.5

The test statistic :

(xbar - μ) ÷ (s/√(n))

(9 - 8.5) ÷ (2/√(25))

0.5 / 0.4

Test statistic = 1.250

The Pvalue from Tscore ;

Pvalue(1.250, 24) = 0.2234

Pvalue > α ; We fail to reject H0 ;

Answer:

Yes think

Step-by-step explanation:

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

The variance is the difference between the numbers in a set of data, to put it simply. Each number's variability is a statistical statistic that indicates how far off from the mean and from each other number in the set it is.

Here,

Given : mean = 10

varience = 3

Using chebyshevs inequality we have

P(|X-u| ≥ k)≤ \(\sigma^{2}\)/\(k^{2}\)

hence we can have,

=> P(X>15)  ≤ 3/\(5^{2}\)

=> P(X>15)  ≤ 3/25

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

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Answer:

x = 24

Step-by-step explanation:

x + 11 = 35

x = 35 - 11

x = 24

x+11=35

Subtract 11 on both sides.

Subtract 11 from 35 to get 24.

Answer:

The answer is C!

Step-by-step explanation:

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

Step-by-step explanation:

1 yes 2 no 3 no 4 yes 5 no

Answer:

1. yes

2. yes

3. no

4. yes

5. no

Step-by-step explanation:

go to mathwa* and type in the same equation and click to see if function or not.

gl on the final

this guy above me is wrong for #2

Answer:

11

Step-by-step explanation:

I just assumed D is the midpoint; and if D is the midpoint,

GD=DH, GD+DH=GH

5.5+5.5=11

Answer:

-0.0625

Step-by-step explanation:

Given:

Divide 5 by 8 and then add 6 to the result.

Required:

Solve it.

Explanation:

The steps are:

Answer:

The formula for this function is y = 0.9 * cos((2π/3) x + π/2) - 1.2

From the image attached, that looks like a cosine graph with 3 periods. 2 highs and 1 low. Also, it should be noted that it is a cosine function.

Therefore to derive the formula for the graph, we use a cosine function with a phase shift and amplitude adjustment.

The general formula for a cosine function is:

f(x) = A * cos(Bx + C) + D

where

A = amplitude,

B = frequency,

C = phase shift,

D = vertical shift.

To get the Amplitude:

We want the function to oscillate between 2.1 and 0.3, which is a difference of 1.8. Since the sine function oscillates between -1 and 1, we need to multiply it by half the desired difference to get the right amplitude. Therefore,

A = 1/2 *1.8 = 0.9.

To get the Frequency:

Since there are only three periods in the interval, then

frequency =  2π/3.

Therefore B = 2π/3.

To get the Phase shift:

We want the function to peak at x = 0, so we need a phase shift of π/2.

Therefore C = π/2.

To get Vertical shift:

We want the function to have a trough at y = 0.3, which means we need to shift it down by 1.8/2 + 0.3 = 1.2. We set D = -1.2.

Putting all these parameters together, we get the following formula:

f(x) = 0.9 * cos((2π/3) x + π/2) - 1.2

This function will oscillate between 2.1 and 0.3 over three periods, with a peak at x = 0 and a trough at y = 0.3.

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The answer of the given question based on the expression is , the simplified expression for g(x+5) is 3x² + 30x + 73.

An expression is combination of numbers, variables, and operators (such as +, -, ×, ÷) that represents value or quantity. Expressions can be as simple as a single number or variable, or they can be complex with multiple terms and operations. Expressions can be evaluated or simplified by performing the indicated operations according to the rules of arithmetic and algebra.

To find g(x+5), we replace every occurrence of x in the expression for g(x) with x+5:

g(x+5) = 3(x+5)² + 2

Expanding the square and simplifying, we get:

g(x+5) = 3(x² + 10x + 25) + 2

g(x+5) = 3x² + 30x + 73

Therefore, the simplified expression for g(x+5) is 3x² + 30x + 73.

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We calculate AB, that is:

Now, we solve for the lenght, that is :

We know now that the length is of 8.2 units.

Answer:

The number series 1, 2, 3, 4, . . . . , 99, 100. Therefore, 5,050 is the sum of positive integers upto 100.

Step-by-step explanation:

The sum of the numbers 1-100 would be equal to the number of pairs (50) multiplied by the sum of each pair (101), or 50 x 101 = 5,050.

Answer: 3 tons

Step-by-step explanation: first I figured out how much 2 tons was which is 4000 pounds and then I divided 4000 by 8 which told me that each foot can hold 500 pounds So then I just did 500×10 which is 5000 pounds which is 3 tons

If an 8-foot column can hold 2 tons, then a 10-foot column can hold 1.28 tons.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The maximum weight that a circular column can hold is inversely proportional to the square of its height.

∴ w ∝ 1/h² or w = k(1/h²).

An 8-foot column can hold 2 tons which is,

2 = k(1/8²).

2 = k(1/64).

k = 128.

Now, 10 feet column can hold,

w = 128(1/10²).

w = 128/100.

w = 1.28 tons.

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Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Answer:

35 game apps

Step-by-step explanation:

let's say 175 rquals to a 100%

100% = 175

20% = 175 ÷ 5

= 35

Answer:

about 50 degrees

Step-by-step explanation:

To find the angle you would first subtract 180 - 90 (Since a triangle always equals 180) and that would be 90 and then divide by 2 to equal 45. I believe they wanted to round to nearest tenth so then the answer would change to 50. (Tell me if this is wrong; its been a while since I have done this)

I hope this helps :)