A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?

A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds

Answer:

82.4 cm

Step-by-step explanation:

The computation of the height is given below:

As we know that each right triangle contains the top angle of 20 degrees

So, the right angle & the bottom corner angle equivalent to

= 180 - 90 - 20

= 70 degrees

Now the height is

tangent = opposite leg ÷ adjacent leg

tan (70°) = height ÷ 30 cm

height = 30 cm × tan (70°)

= 82.4 cm

Answer:

C

Step-by-step explanation:

The picture give you the law of the volume of the pyramid

Answer:

I would say the answer is 2

Step-by-step explanation:

12x4=48

48-32=16

4-2=2

16 divided by 2=8 birds

Answer:

4 cats, 8 birds

Step-by-step explanation:

make a system of equations and solve.

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s        

First, we need to find the other side of the triangle:  

[tex]H^{2} = B^{2} + L^{2}[/tex]

[tex] L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}} [/tex]

Now, the area (A) of the triangle is:            

[tex] A = \frac{BL}{2} [/tex]  

Hence, the rate of change of the area is given by:

[tex] \frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}] [/tex]      

[tex] \frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}] [/tex]        

[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}][/tex]  

[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9][/tex]      

[tex]\frac{dA}{dt} = 15.75 ft^{2}/s[/tex]  

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!                                    

The rate of change (ROC) of the area with respect to (w.r.t.) time can be

found from the ROC of the area w.r.t. x and the ROC of x w.r.t. time.

Reasons:

The length pf the ladder = 10 feet

Rate at which the ladder is pulled from the wall, [tex]\displaystyle \frac{dx}{dt}[/tex] = 9 feet per second

Required:

The rate at which the area of the triangle formed by the ladder, the wall

and the ground, is changing at the instant the ladder is 6 feet from the wall.

Solution:

The area the triangle, A = 0.5·x·y

Where;

x = The distance of the ladder from the wall

y = The height of the ladder on the wall

By Pythagoras's theorem, we have;

10² = x² + y²

Which gives;

y = √(10² - x²)

Therefore;

The area the triangle, A = 0.5 × x × √(10² - x²)

By chain rule, we have;

[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{dA}{dx} \times \frac{dx}{dt}}[/tex]

[tex]\displaystyle \frac{dA}{dx} = \frac{d\left(0.5 \cdot x \cdot \sqrt{10^2 - x^2} }{dx} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}}[/tex]

[tex]\displaystyle \frac{dA}{dx} = \frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}[/tex]

Therefore;

[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100} \times 9}[/tex]

When the ladder is 6 feet from the wall, we have;

x = 6

[tex]\displaystyle \frac{dA}{dt} = \frac{\left(6^2 - 50\right) \cdot \sqrt{100-6^2} }{6^2-100} \times 9 = \mathbf{15.75}[/tex]

At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.

Learn more about chain rule of differentiation here:

https://brainly.com/question/20341047

Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05

Answer:

The variable of interest is the proportion of flips that land the correct way when flipped randomly.

The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Step-by-step explanation:

Variable of Interest:

Proportion of flips that land the correct way when flipped randomly.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Necessary conditions:

The necessary conditions are:

[tex]n\pi \geq 10[/tex]

[tex]n(1-\pi) \geq 10[/tex]

You observe 2180 random, independent flips, and 325 land the correct way.

This means that [tex]n = 2180, \pi = \frac{325}{2180} = 0.149[/tex]

Necessary conditions

[tex]n\pi = 2180*0.149 = 325 \geq 10[/tex]

[tex]n(1-\pi) = 2180*0.851 = 1855 \geq 10[/tex]

The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 - 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.131[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 + 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.167[/tex]

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Answer:

x = 58 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

hypotenuse =99

adjacent = 52

angle of elevation  = x

cos theta = adj/hyp

cos x = 52/99

x = arccos (52/99)

x = arccos(0.5253)

x = 58 degrees ( to the nearest degree)

The reflected coordinates of the triangle along y = 3 are  X'(0, - 1), U'(3, - 1) and L'(3, - 5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, a triangle is reflected along y = 3.

First, the coordinates (x, y) of the triangle are X(0, 5), U(-3, 5) and L(-3, 1).

We know reflected along the y-axis is (-x, y) so reflection along y = 3 is

(-x, y - 2×3).

∴ X'(0, - 1), U'(3, - 1) and L'(3, - 5).

learn more about reflection here :

https://brainly.com/question/15487308

#SPJ2

Answer: 38

Step-by-step explanation: i dont know

Answer:

38

Step-by-step explanation:

hey there!

so if you didn't know ll means absolute value

the absolute value of -35 is 35

the absolute value of 7 is 7

the absolute value of-5 is 5

the absolute value of -4 is 4

and -(-5) the two negative signs cancel out to make it +5

now we have 35+7-5-4+5

35+7=42

42-5=37

37-4=33

33+5=38

so the answer would be 38

Answer:

fifty five hundredths = 0.55

Step-by-step explanation:

Let's use 0.45 as an example. You read this decimal by using the place value of the last digit to the right of the decimal point.

This number is read as forty-five hundredths because the last digit is in the hundredths place.

Answer:

16 inches or 1 1/3 foot

Step-by-step explanation:

4 feet = 48 inched

48/3 = 16 inches

Answer:

No, it is not a function because they should be going to their designed areas Hope this helped/.

Step-by-step explanation:

Answer:

It's either x-6 or x+6 I wanna say that it is x-6 because they moved the shape down, but it could also have been moved up. I was assuming that the green one was the original, which would make the answer x-6.

Step-by-step explanation:

Answer:he is wiring the answer would be x+6 and the bike is the original because it does not have primes on the numbers

Step-by-step explanation:learn your mad bro

Answer:

in order

yes

no

yes

no

no

Step-by-step explanation:

Answer:

Order.

Step-by-step explanation:

Yes.

No.

Yes.

No.

No.

Answer:

21, 6, 12

Step-by-step explanation:

your welcome:)

It's the rectangle and squares(answer)

Step-by-step explanation:

Squares can be rectangles but rectangles cant be squares.

Answer:

Step-by-step explanation:

Correct choice is D

Problem 1

With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.

The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below

IQR = Q3 - Q1

and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.

The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.

=======================================================

Problem 2

Answer: Skewed left

This is the same as saying "negatively skewed"

---------------

Explanation:

The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.

One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.

In short, negatively skewed data indicates that mean < median.

Answer:

First I need to know how much chores she does because I can't get the money that she makes with the word SOME I need to know how many chores she makes.

Step-by-step explanation:

Answer:

0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.

Step-by-step explanation:

A sequence of independent Bernoulli trials is the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

What is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?

This is the probability of no white-eyes during the first two flies, that is, [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]

Probability of white-eyes is 1/4

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]

0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.

Answer:

1/3

Step-by-step explanation:

Answer:

pekpek

Step-by-step explanation:

hahsbshahahdhsjs

Answer:

d

Step-by-step explanation:

gfstikuhbbcwdjonngbb1519360

Answer:

D

Step-by-step explanation:

I took multivariable calculus in hs