Katie lives in the Florida Keys. She loves
to dive and take pictures of marine life.
During her last dive, she used her depth
gauge to change her position relative
to sea level by -4.5 feet to reach her
goal, -12 feet. Let x represent her
initial position. Write and solve an
equation to find x.

Answer:

1344 - 96 = 1248

If you want to check your answer the add 1248 + 96 =1344

Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Given that a New England Journal of Medicine study found that a substantial portion of acute hospital care is reported to be unnecessary, and the physicians who conducted the study reviewed the medical records of 1,132 patients hospitalized at six different locations across the country, and overall, 60% of admissions in the sample were judged to be appropriate, 23% were deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery, to determine the number of patients in each group, the following calculation should be made:

Thus, some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

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Answer:Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Step-by-step explanation:

Answer: $2.13

Step-by-step explanation:

Answer:

442.96875 ft.

Step-by-step explanation:

Original Height (h) : 150 ft

Bounce 1 (h₁) : h/2 = 150/2 = 75 ft

Bounce 2 (h₂) : h₁/2 = 75/2 = 37.5 ft

Bounce 3 (h₃) : h₂/2 = 37.5/2 = 18.75 ft

Bounce 4 (h₄) : h₃/2 = 18.75/2 = 9.375 ft

Bounce 5 (h₅) : h₄/2 = 9.375/2 = 4.6875 ft

Bounce 6 (h₆) : h₅/2 = 4.6875/2 = 2.34375 ft

Finding the sum of bounces 1 - 5 :

Distance traveled :

Answer:

442.96875 ft

Step-by-step explanation:

We can model the height of each bounce as a geometric series.

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

If we let n be the number of bounces, then the initial term has to be:

[tex]a_1=\dfrac12(150)=75[/tex]

since this is the height of the ball after the first bounce.

The common ratio r has already been given to us, as we have been told that the height of the bounce halves after each bounce.

[tex]\implies r=\dfrac12=0.5[/tex]

Therefore, the geometric series to model the peak height of each bounce is:

[tex]a_n=75(0.5)^{n-1}[/tex]

(where [tex]a_n[/tex] is the height and n is the number of bounces)

Therefore, to calculate the total number of feet the ball travels until it reaches the peak height of the 6th bounce:

Total = 150 + (2 × sum of 1, 2, 3, 4 & 5th bounces) + 6th bounce

To find the sum, use the geometric sum formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, the sum of the bounces 1 through 5 is:

[tex]\implies S_5=\dfrac{75(1-0.5^5)}{1-0.5}=145.3125[/tex]

Height of the 6th bounce:

[tex]\implies a_6=75(0.5)^{6-1}=2.34375[/tex]

[tex]\begin{aligned}\textsf{Total distance} & =150+2\left(\dfrac{75(1-0.5^5)}{1-0.5}\right)+75(0.5)^{6-1}\\ & = 150 + 2(145.3125)+2.34375\\ & = 150 + 290.625+2.34375\\ & =442.96875\: \sf ft \end{aligned}[/tex]

The mean of the discrete probability distribution is of 1.28.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Then, considering the given distribution, the mean is given by:

E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.

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Answer: 25∘

Step-by-step explanation: I have the same question and it said 25∘ is right because I don't think the angle changes when you are just moving it a few units up down left or right.

Answer:

25

Step-by-step explanation:

The answer is C) 500%

Answer:

Option D. all real numbers.

Step-by-step explanation:

The given function is a logarithmic function represented as

f(x) = log0.6x

In this logarithmic function for any value of x > 0 will be the domain and range of the function will be a set all real numbers.

As for any value of x>0 we get a real number if we rewrite a function in the form of an equation

y = log0.6x

Therefore Range will be (-∞ ∞) {y | y ∈ R}

Answer:

Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

Step-by-step explanation:

i hope this works

The two angles sum to equal 180 degrees.

4x + 8x = 180

12x = 180

X = 180/12

X = 15

Answer:

Soln:4x°+8x°=180°

12x°=180°

or,x°=180°/12

or,x°=15

4x°=4×15°=60°

8x°=8×15°=120

Answer: The larger angle (Angle 2) is 120 degrees

Step-by-step explanation:

Let's call Angle 1 x and call Angle 2 y.

Two angles being supplementary means that they add to 180.

This means x+y=180

Angle 2 is twice the measurement of angle 1.

This means 2x=y and that we can sub 2x in for y

x+2x=180

3x=180

Now solve for x

[tex]3x=180\\\frac{3x}{3} =\frac{180}{3} \\x=60[/tex]

We know the value of x, so now let's sub in to find the value of y

[tex]2x=y\\2(60)=y\\120=y[/tex]

Answer: C

Step-by-step explanation: You're Welcome

Answer:

so i am sorry but somehow my answer got deleted

Step-by-step explanation:

Answer:2.750

Step-by-step explanation:

Or D

160 students ordered a yearbook.

Step-by-step explanation:

Batman, cross multiply 400×40 then divide by 100 and you get your answer.

Answer:

[tex]area = \pi {d}^{2} \\ area = \pi {24}^{2} \\ area = 1808.64[/tex]m^2

A number that is divided by another, like 1 divided by 2 is one half, it is a fraction of a number.

Answer:

I think that it is C

Step-by-step explanation:

Answer:

x=74

Step-by-step explanation:

because those two angles you can assume are equal, and all you have to do is subtract 180 by 32 and divide 148 by 2 to get the other two parts of the triangle.

Answer:

140 minutes

Step-by-step explanation:

14 minutes+14 minutes=28 minutes, 28 minutes x 5 days= 140 minutes

Answer:

A. 64.98

Step-by-step explanation:

See the attachment .

_________

Hope it helps ⚜

Answer:

keep adding four until u reach day twelve

Answer:

ok the owner is 2..a under score 4

Step-by-step explanation:

or 5,244

If the accident causes $6,750 of damage to his own car. The amount that the insurance company will pay to fix both cars is $14,750.

Using this formula

Insurance coverage=Total cost of damages-Deductible

Where:

Total cost of damages=($8,500+$6,750)

Deductible=$500

Let plug in the formula

Insurance coverage=($8,500+$6,750)-$500

Insurance coverage=$15,250-$500

Insurance coverage=$14,750

Therefore the amount that the insurance company will pay to fix both cars is $14,750.

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Answer: C) (-∞,∞)

The domain of the funtion is (-∞,∞)

The measure of central tendency of a distribution of data that can take multiple value is the mode

In a given dataset;

All the above measures can take only one value in a dataset

However, the mode can take multiple values, because it represents the data element with the highest frequency (and multiple data elements can have the same frequency)

Read more about measure of central tendency at:

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Answer:

I think it is the rectangle

Step-by-step explanation:

I wish it is really helpful for u

Answer: D. Trapezoid

Step-by-step explanation:

From the question, it tells us that each angle was congruent to its opposite angle, since in a rectangle all angles are 90 degrees, rectangles won’t be correct. Parallelograms is self explanatory. Rhombuses have 2 pairs of same angles, which only leads to a trapezoid with 2 different bases, leading to different angles in it’s opposite corner.

Answer:

93%

Step-by-step explanation:

We must divide to solve this :)

102300/110000 = 0.93 x 100 = 93%

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