according to 2016 united states census data, women represent 50.8 % of the population. thus, do the percent of women in the stem field accurately represent the percent of women in the population? by how much do they differ? show your math!

The probability that Mark selects a car key or door key from the key ring is 0.3 or 30%.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability theory provides a framework for understanding random events and the laws of chance, and it is an important tool for modeling and simulating complex systems.

Calculating the probability that he selects a car key or door key :

In this context, we are asked to find the probability of Mark selecting a car key or door key from the key ring. To calculate this probability, we need to first determine the total number of keys on the key ring and then count the number of car keys and door keys.

Total number of keys = 10

Number of car keys = 2

Number of door keys = 1

The probability of selecting a car key or door key can be found by adding the probability of selecting a car key to the probability of selecting a door key. Since there is only one door key and two car keys, the probability of selecting a car key is higher, and we can simplify the calculation by finding the probability of selecting a car key and then adding the probability of selecting a door key that hasn't already been selected.

Probability of selecting a car key = 2/10 = 0.2

Probability of selecting a door key = 1/9 (since one key has already been selected) = 0.1111...

Therefore, the probability of Mark selecting a car key or door key from the key ring is 0.2 + 0.1111... ≈ 0.3 or 30%.

To know more about probability visit :

brainly.com/question/11034287

#SPJ1

Answer:

Step-by-step explanation:

Standard: 2x^3 - 7x^2 -x-2

Quotient: 2x^3- 7x^2 -x-2

remainder: 0

the interval where both F(x) and g(x) are increasing is x < 0, which can be represented on the number line as follows:

To find the interval where both functions F(x) and g(x) are increasing, we need to determine where the derivative of each function is positive. A function is increasing when its derivative is positive, which means that the function is becoming larger as x increases.

The derivative of F(x) can be found by applying the derivative rules for absolute value and addition, which gives us:

F'(x) = 3x/|x|

Now, we need to determine where F'(x) is positive. This occurs when either 3x is positive and |x| is positive, or when 3x is negative and |x| is negative. Therefore, F'(x) is positive for x > 0 and x < 0.

Next, we need to find the derivative of g(x) by applying the derivative rules for subtraction and multiplication, which gives us:

g'(x) = -1 + 8

Simplifying the expression, we get:

g'(x) = 7

Since g'(x) is a constant, it is always positive, which means that g(x) is increasing for all values of x.

To find the interval where both F(x) and g(x) are increasing, we need to identify where both F'(x) and g'(x) are positive. This occurs when x < 0, as this satisfies the condition for F'(x) being positive, and g'(x) is always positive.

Therefore, the interval where both F(x) and g(x) are increasing is x < 0, which can be represented on the number line as follows:

     <=====o------------------------>

         x<0                    x>0

In this interval, both functions are increasing as x becomes more negative.

To know more about absolute value click here:

brainly.com/question/1301718

#SPJ4

Answer:

Y = 4x

Step-by-step explanation:

In this equation, x represents the input value, and Y represents the output value. Coefficient 4 illustrates the rate of change or slope of the function, indicating that for every unit increase in x, the value of Y increases by four units. When x is 0, Y is also 0, consistent with the given data. Similarly, when x is 1, 2, and 3, Y is 4, 8, and 12, respectively, matching the provided output values.

Answer: 63.8

Step-by-step explanation:

Answer:

379.94

Step-by-step explanation:

Area of a circle given radius is really easy! The equation for area of a cicle is pi x r^2. So just plug in. Assuming pi is 3.14 your equation would be

3.14x11^2. 11 squared is 121. Then multiply by 3.14 and thats your answer.

The probability that the taxi at fault was blue given an eyewitness said it was is approximately 0.436.

To find the probability that the taxi at fault was blue given an eyewitness said it was, we can use Bayes' theorem. Bayes' theorem is expressed as: P(A|B) = (P(B|A) * P(A)) / P(B)

Where:
- P(A|B) is the probability of A given B (the probability the taxi is blue given the eyewitness said it was blue)
- P(B|A) is the probability of B given A (the probability the eyewitness said the taxi was blue given it was actually blue)
- P(A) is the probability of A (the probability the taxi is blue)
- P(B) is the probability of B (the probability the eyewitness said the taxi was blue)

First, let's define our events:
- A: The taxi is blue (Blue Cab), with a probability of 12% (0.12)
- B: The eyewitness said the taxi was blue

Now, we need to find P(B|A) and P(B).

1. P(B|A) = 0.85 (the probability the eyewitness correctly identifies the blue taxi)
2. P(B) can be found using the law of total probability: P(B) = P(B|A) * P(A) + P(B|A') * P(A')
  - A': The taxi is not blue (Green Cab), with a probability of 88% (0.88)
  - P(B|A') = 1 - 0.85 = 0.15 (the probability the eyewitness incorrectly identifies the green taxi as blue)

So, P(B) = 0.85 * 0.12 + 0.15 * 0.88 = 0.102 + 0.132 = 0.234

Now, we can apply Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)
P(A|B) = (0.85 * 0.12) / 0.234
P(A|B) ≈ 0.4359

Rounded to three decimal places, the probability that the taxi at fault was blue given an eyewitness said it was is approximately 0.436 or 436/1000 as a reduced fraction.

To know more about probability, visit;

https://brainly.com/question/30034780#

#SPJ11

Answer:

no

Step-by-step explanation:

using Pythagorean theorem:

[tex]26^{2} +42^{2}=50^{2}[/tex]

676+1764=2500

2440=2500

2440<2500

Answer:no

Answer:

A. The initial height, h, in feet, of the object.

Answer:

A The initial height, h, in feet, of the object.

Step-by-step explanation:

Let t = 0

h(t) = -16t ² + 110t + 72

h(0) = -16(0)² + 110 × 0 + 72

h(0) = 72

The height at time zero is 72.

72 is the initial height.

Answer: A The initial height, h, in feet, of the object.

The probability of a sample of 10 parts containing more than 3 defective ones is approximately 0.026.

We can use the binomial distribution to calculate the probability of getting more than 3 defective parts in a sample of 10 parts. Let X be the number of defective parts in the sample. Then X follows a binomial distribution with parameters n=10 and p=0.1, where n is the sample size and p is the probability of a part being defective.

We can calculate the probability of getting more than 3 defective parts is:

P(X > 3) = 1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Next, we can find that:

P(X > 3) = 0.026

Therefore, the probability of a sample of 10 parts containing more than 3 defective ones is approximately 0.026.

To know more about binomial distribution refer here:

https://brainly.com/question/14565246?referrer=searchResults

#SPJ11

To the nearest tenth, the length of each side of the equilateral triangle is roughly [tex]10(\sqrt{(3) - 1)[/tex].

An equilateral triangle has the following three characteristics: identical lengths on all three sides. The three angles are identical. Three symmetry lines may be seen in the figure.

All of the triangle's sides are equal in length since it is equilateral. Call this length "s" for short.

The distance from vertex A to side x, measured in altitude, is equal to the length of side x. Call the intersection of the altitude and side x "P" for short.

The length of AP is [tex](s/2) * \sqrt{}[/tex] because we know that the altitude from vertex A creates a triangle with sides of 30-60-90. (3).

Since side BP is half the length of side AB, we also know that its length is (s/2).

As a result, x's length equals the product of AP and BP:

x = AP + BP

= (s/2) * [tex]\sqrt{(3) + (s/2)[/tex]

= [tex](s/2)(\sqrt{(3) + 1)[/tex]

We are told that x equals 10. We may put the formula we discovered for x equal to 10 and do the following calculation to find s:

[tex](s/2)(\sqrt{(3) + 1)[/tex] = 10

The result of multiplying both sides by two is:

[tex]s(\sqrt{(3) + 1) = 20[/tex]

When you divide both sides by [tex](\sqrt{(3) + 1)[/tex], you get:

[tex]s = 20/(\sqrt{3) + 1)[/tex]

The result of multiplying the numerator and denominator by the conjugate of [tex](\sqrt{(3) + 1), (\sqrt{(3) - 1)[/tex], is as follows:

s = [tex]20(\sqrt{3) - 1)/(3 - 1)[/tex]

= [tex]10(\sqrt{(3) - 1[/tex]

As a result, to the nearest tenth, the length of each side of the equilateral triangle is about [tex]10(\sqrt{(3) - 1[/tex].

To know more about equilateral triangle visit:

brainly.com/question/19987277

#SPJ1

Answer: D = 3c-5

Step-by-step explanation:

The first shape shows the input, C, the second one multiplies it by 3, next, it subtracts C by 5, leaving you with D equaling C times three, minus five.
You can simplify this equation into this:

D=3C (multiplied by 3)

Then subtract by 5
D=3C-5

An effective visual representation of a function or a mapping between two sets is a mapping diagram. It consists of two vertical columns, one of which represents the domain set items and the other of which represents the range set elements. The items in the range set that match to those in the domain set are listed in the right column, and vice versa.

I assume you are given a mapping rule that relates elements in a set to other elements in another set, and you are asked to complete a mapping diagram based on this rule.

If the mapping rule is not specified, we cannot determine the values of a and b. However, assuming that the mapping rule is such that each element (x, y) in the set R is mapped to [tex](x + a, y + b)[/tex], we can complete the mapping diagram as follows:

The given set R is:

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}

If we apply the mapping rule to each element in R, we get:

(-3, -2) → (-3 + a, -2 + b)

(-3, 0) → (-3 + a, 0 + b)

(-1, 2) → (-1 + a, 2 + b)

(1, 2) → (1 + a, 2 + b)

To complete the mapping diagram, we need to find the values of a and b such that each mapped element is in the set R. That is, we need to find a and b such that:

(-3 + a, -2 + b) ∈ R

(-3 + a, 0 + b) ∈ R

(-1 + a, 2 + b) ∈ R

(1 + a, 2 + b) ∈ R

Substituting the values of R into each of these equations, we get:

(-3 + a, -2 + b) = (-3, -2), which gives a = 0 and b = 0

(-3 + a, 0 + b) = (-3, 0), which gives a = 0 and b = 0

(-1 + a, 2 + b) = (-1, 2), which gives a = 0 and b = 0

(1 + a, 2 + b) = (1, 2), which gives a = 0 and b = 0

Therefore, the values of a and b that complete the mapping diagram are a = 0 and b = 0.

To know about diagram mapping:

https://brainly.com/question/29006330

#SPJ9

The area of the given parallelogram is A- 33(1/2) ft² using the base and height of the parallelogram. the correct answer is (c).

A quadrilateral with two sets of analogous edges is appertained to as a parallelogram. In a parallelogram, the opposing edges are of equal length, and the opposing angles are of equal size. also, the internal angles that are supplementary to the transversal on the same side. 360 ° is the sum of all internal angles. A parallelepiped is a three- dimensional shape with parallelogram- shaped sides. The base( one of the analogous lines) and height( the distance from top to bottom) of the parallelogram determine its area. A parallelogram's border is determined by the lengths of its four edges. The characteristics of a parallelogram are participated by the shapes of a square and cell. What's area? The size of a section on a face is determined by its area. face area refers to the area of an open face or the border of a three- dimensional object, whereas the area of an area area plane region or area  area plane area refers to the area of a shape or planar lamella.

The area of a parallelogram is given by

[tex]base*height.base=8(1/3)ft[/tex]

height=4ft

[tex]Area=b*h =(25/3)*4 =100/3 = 33[/tex]

[tex][base]\frac{1}{3}[(hieght)] ft^{2}[/tex]

To learn more about parallelogram, visit

https://brainly.com/question/29147156

#SPJ1

the decay constant for this material is approximately 0.0445.when t = 8 years, the amount of the material remaining is 550 grams.

The formula for radioactive decay is given by:

a = [tex]e^(-kt)\\[/tex] * A

where a is the final amount,A is the initial amount, t is the time in years, and k is the decay constant.

We can use the given information to solve for k as follows:

When t = 0, a = A. So, we have:

A = [tex]e^(0 * k)[/tex] * A

Simplifying this gives:

1 = e^0

Therefore, we can see that k = 0 at the start of the decay process.

Now, when t = 8 years, the amount of the material remaining is 550 grams. Therefore, we have:

550 = [tex]e^(-8k)[/tex] * 700

Dividing both sides by 700 and taking the natural logarithm of both sides, we get:

ln(550/700) = -8k

Simplifying this gives:

k = ln(700/550)/8

Using a calculator, we can evaluate this expression to get:

k ≈ 0.0445

Therefore, the decay constant for this material is approximately 0.0445.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Photosynthesis is maximum in red light because chlorophyll, the primary pigment responsible for capturing light energy in plants, absorbs red light most efficiently.

What is red light in Photosynthesis?

Red light is a part of the electromagnetic spectrum with a longer wavelength and lower energy than blue and green light.

Red light is particularly effective for photosynthesis because it has a longer wavelength and lower energy, which allows chlorophyll to efficiently absorb it and use it for the photosynthetic process.

In photosynthesis, plants use light energy to synthesize glucose from carbon dioxide and water.

As a result, photosynthesis is maximum in red light because plants can absorb and utilize this light energy most efficiently for their growth and energy production.

To know more about Photosynthesis:

https://brainly.com/question/29764662

#SPJ11

Answer:No

Step-by-step explanation:

Because each X is an input, this means that Y is obviously the output.

In order for a set of data, there must ALWAYS be one output for every input, no more, no less. Because this particular set of data has multiple Y values with respect to different X values, this is not a function. Your correct answer is "No, because for each input there is not exactly one output."

[tex]\sqrt[n]{z}=\sqrt[n]{r}\left[ \cos\left( \cfrac{\theta+2\pi k}{n} \right) +i\sin\left( \cfrac{\theta+2\pi k}{n} \right)\right]\quad \begin{array}{llll} k\ roots\\ 0,1,2,3,... \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{k=0}\hspace{5em} \sqrt[ 3 ]{64} \left[ \cos\left( \cfrac{ 219^o + 360^o( 0 )}{3} \right) +i \sin\left( \cfrac{ 219^o + 360^o( 0 )}{3} \right)\right][/tex]

[tex]\sqrt[ 3 ]{64} \left[ \cos\left( \cfrac{ 219^o }{3} \right) +i \sin\left( \cfrac{ 219^o }{3} \right)\right]\implies \boxed{4[\cos(73^o)+i\sin(73^o)]} \\\\[-0.35em] ~\dotfill\\\\ \boxed{k=1}\hspace{5em} \sqrt[ 3 ]{64} \left[ \cos\left( \cfrac{ 219^o + 360^o( 1 )}{3} \right) +i \sin\left( \cfrac{ 219^o + 360^o( 1 )}{3} \right)\right][/tex]

[tex]\sqrt[ 3 ]{64} \left[ \cos\left( \cfrac{ 579^o }{3} \right) +i \sin\left( \cfrac{ 579^o }{3} \right)\right]\implies \boxed{4[\cos(193^o)+i\sin(193^o)]} \\\\[-0.35em] ~\dotfill\\\\ \boxed{k=2}\hspace{5em} \sqrt[ 3 ]{64} \left[ \cos\left( \cfrac{ 219^o + 360^o( 2 )}{3} \right) +i \sin\left( \cfrac{ 219^o + 360^o( 2 )}{3} \right)\right] \\\\\\ \sqrt[ 3 ]{64} \left[ \cos\left( \cfrac{ 939^o }{3} \right) +i \sin\left( \cfrac{ 939^o }{3} \right)\right]\implies \boxed{4[\cos(313^o)+i\sin(313^o)]}[/tex]

4 feet.

The length of the rope from the ground to the top of the tent is 4 feet.

To calculate this, subtract the distance from the tent to the ground (2 feet) from the height of the tent (6 feet), and you will get the length of the rope (4 feet).

Learn more about length

brainly.com/question/30100801

#SPJ11

Therefore, liquid water is considered to be unstable on Mars due to the cold temperatures, low atmospheric pressure, and the UV radiation. All of these environmental factors make it difficult for liquid water to persist.

Liquid water is unstable on Mars due to its cold, dry environment. Because the atmospheric pressure is too low to hold liquid water, the water on Mars quickly evaporates, sublimates, and/or is broken down by the ultraviolet radiation in the atmosphere.
The average temperature of the surface of Mars is −63 °C, which is well below the freezing point of water. Because of this, liquid water cannot exist on the surface of Mars. When temperatures are slightly higher, water can exist as a liquid, but it cannot stay in this state for very long.
The atmosphere on Mars also does not contain enough pressure to sustain liquid water. Even when water vapor is present, it will quickly evaporate in the low-pressure environment. Additionally, the UV radiation in the Martian atmosphere will break down water molecules quickly.

for such more questions on atmosphere

https://brainly.com/question/28124272

#SPJ11

To get an output of 5 from a function, the second point must be at a distance of 5 units above the x-axis.

The function represents the relationship between the inputs and the outputs. The function's domain is the set of all possible input values, while the range is the set of all possible output values. The function's graph is the set of all ordered pairs (x, y), where x is the input and y is the output.To get an output of 5 from the function, the second point must be at a distance of 5 units above the x-axis. This implies that the y-value of the second point is 5. The x-value of the second point is arbitrary, and it can be any value. The point (0,5) is an example of a point that is 5 units above the x-axis.

To know more about function refer here:

https://brainly.com/question/28193995

#SPJ11

The point that partitions segment AB in a 1:4 ratio is [tex]P = \left(-1, -\frac{2}{5}\right)$[/tex].

To find the point that partitions segment AB in a 1:4 ratio, we can use the section formula.

Let P = (x, y) be the point that partitions segment AB in a 1:4 ratio, where AP:PB = 1:4. Then, we have:

[tex]$\frac{AP}{AB} = \frac{1}{1+4} = \frac{1}{5}$$[/tex]

and

[tex]$\frac{PB}{AB} = \frac{4}{1+4} = \frac{4}{5}$$[/tex]

Using the distance formula, we can find the lengths of AP, PB, and AB:

[tex]AP &= \sqrt{(x+3)^2 + (y-2)^2} \\PB &= \sqrt{(x-7)^2 + (y+10)^2} \\\ AB &= \sqrt{(7+3)^2 + (-10-2)^2} = \sqrt{244}[/tex]

Substituting these into the section formula, we have:

[tex]$\begin{aligned}x &= \frac{4\cdot(-3) + 1\cdot(7)}{1+4} = -1 \ y &= \frac{4\cdot2 + 1\cdot(-10)}{1+4} = -\frac{2}{5}\end{aligned}$$[/tex]

Therefore, the point that partitions segment AB in a 1:4 ratio is [tex]P = \left(-1, -\frac{2}{5}\right)$[/tex].

To know more about Segment visit;

brainly.com/question/30161863

#SPJ1

Answer: multiplied by 5 or squared

Step-by-step explanation:

If the number 5 goes in and 25 is the result, the rule could be multiplying by 5 or squaring the number that goes in (input).

5 x 5 = 25

5^2 = 25.

Mr. Kha Lipat should invest $5,000 today in order to receive $400.00 in interest one year from now at an 8% interest rate.

To calculate how much money Mr. Kha Lipat should invest today to receive $400.00 one year from now at an 8% interest rate, we can use the formula for calculating simple interest though compound intrest:

I = P * r * t

where I is the interest earned, P is the principal (the initial amount invested), r is the interest rate (as a decimal), and t is the time period (in years).

We know that Mr. Kha Lipat wants to earn $400.00 in interest, the interest rate is 8% or 0.08 (as a decimal), and the time period is 1 year. We can plug these values into the formula and solve for P:

I = P * r * t

400 = P * 0.08 * 1

400 = 0.08P

P = 400 / 0.08

P = 5000

Therefore, Mr. Kha Lipat should invest $5,000 today in order to receive $400.00 in interest one year from now at an 8% interest rate.

To learn more about interest Click here:
brainly.com/question/30955042

#SPJ4

Answer:

Step-by-step explanation:

36 +55

Answer: the team amassed 88i points total, by shooting t two-point baskets and u 1-point free throws.

t+u = 53

total is:  2t + u = 88.

Step-by-step explanation:

hope i makes sense

Answer: I believe he could wear 768 outfits

Step-by-step explanation: I had a similar question consisting of the same numbers.

Area of the solid composite shape with triangle and rectangle is =832cm².

The area of a composite shape can be determined by adding or subtracting its component pieces.

Hence, we can use two formulas:

Area of Composite Shape + Area of Composite Shape + Area of Basic Shape A (additive)

Basic Shape Area A, Basic Shape Area B, and Composite Shape Area (subtractive)

In the figure,

Dimensions of the triangle are height, h = 16cm and base, b = 12cm.

Area = 1/2 ×b ×h

= 1/2 × 16× 12

=96cm²

There are two triangles, so the total area = 96+ 96 = 192cm².

Now area of the rectangle = length × width

= 20 × 32

= 640cm².

Total area of the solid= 192 + 640 = 832cm².

To know more about area, visit:

https://brainly.com/question/16890298

#SPJ1

Answer:9/2

Step-by-step explanation:

Answer:

To convert mixed number 4 1/2 to improper fraction, you follow these steps: Multiply the whole number by the denominator 4 × 2 = 8 Add the product from Step 1 to the numerator

Step-by-step explanation:

First, note that 4 1/2 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:

4 = whole number

1 = numerator

2 = denominator

To convert mixed number 4 1/2 to improper fraction, you follow these steps:

Multiply the whole number by the denominator

4 × 2 = 8

Add the product from Step 1 to the numerator

8 + 1 = 9

Write answer from Step 2 over the denominator

9/2

The mixed number 4 1/2 converted to improper fraction is therefore :

9/2