I'm so confused right now. I don't need the answer, I just don't know how to put it into equation form.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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Answer:

21 quarters and 21 dimes

Step-by-step explanation:

21 quarters = 5 dollars and 25 cents

21 dimes = 2 dollars and 10 cents

add together and you get the total

21 quarters and 21 dimes

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

According to the table the independent variable remains constant for change in the dependent variable.

There are dependent and independent variables in statistical modelling, experimental sciences, and mathematical modelling.

Dependent variables get their name from the fact that during an experiment, their values are assessed under the assumption or obligation that they rely on the dependent variable as a result of a rule or law. Independent variables are ones that are not seen as being reliant on any other factors in the context of the experiment in question.

In this respect, frequent independent variables include things like space, density, mass, rate of fluid flow, and a particular value among some observed phenomena of interest. Every time, the variability of the dependent variable—also known as the regressor in a statistical context—is being examined. any element in an experiment .

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Answer:

6x

Step-by-step explanation:

6 divided by x = 6x

Given: A arrangement of the letter 'PATTERNS' is given.

Required: To determine the number of paths that spell the word 'PATTERNS' if all paths must start at the top and move diagonally through the

letters.

Explanation: The Pascal Triangle can be used to determine the number of ways the word 'PATTERNS' can be spelled.

The Pascal Triangle is shown below

One exciting thing about Pascal's Triangle is if we move diagonally from top to bottom, each number denotes the number of ways to get to the position from the top.

Hence to spell the word 'PATTERNS', we would need to get to the 8th row.

Hence we need to add all the entries of the 8th row to get the total number of ways to spell the word.

Final Answer: The total number of paths that spells the word 'PATTERNS' is 128.

Step-by-step

measure angle 1 is corresponding to measure angle 5

measure angle 5= measure angle 1= 71*

measure angle 5 + measure angle 8 = 180*

71*+ measure angle 8=180*

measure angle 8=109

Answer:

\(m\angle5 = 71\degree^{\circ}\),

\(m\angle8=109^{\circ}\)

Step-by-step explanation:

Given that \(a\) and \(b\) are parallel and \(m\angle1=71^{\circ}\):

\(m\angle5 = 71^{\circ}\) (Corresponding angles are equal when \(a\parallel b\) )

\(m\angle8+m\angle5=180^{\circ}\) (The two angles make up the angle of a straight line: \(180^{\circ}\)

\(m\angle8 + 71^{\circ} = 180^{\circ}\)

\(m\angle8 = 109^{\circ}\)

\(\therefore m\angle5=71^{\circ};m\angle8=109^{\circ}\)

Hope this helps :)

Hope this was helpful

Answer:

7

Step-by-step explanation:

8p + p = 63

9p = 63

p = 63/9 = 7

Answer:

the answer is "n>9" which means (10,infinity)

Step-by-step explanation:

8p>p+63

C.L.T

8p-p>63

7p>63

divide both sides by 7

p>9

Answer:

n = 1

Step-by-step explanation:

So the first step is to simplify the top equation:

(3v + 7) - (8v + 6)

distribute the negative sign to get rid of the second parentheses:

3v + 7 - 8v - 6

now, combine like terms

-5v + 1

Since it says it needs to be equivalent to (-5v + n), n is 1

The ratio of grass to decking in terms of area, in its simplest form, is 4:5.

In the garden, 4/9 of the area is covered with grass, and the rest is decking. To find the ratio of grass to decking in terms of area, we can express it as a fraction.

Let's denote the area covered with grass as G and the area covered with decking as D.

The given information states that 4/9 of the area is grass, so we have:

G = (4/9) * Total area

Since the remaining area is covered with decking, we can express it as:

D = Total area - G

To simplify the ratio of grass to decking in terms of area, we can divide both G and D by the total area:

G/Total area = (4/9) * Total area / Total area

G/Total area = 4/9

Similarly,

D/Total area = (Total area - G)/Total area

D/Total area = (9/9) - (4/9)

D/Total area = 5/9

Therefore, the ratio is 4:5.

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Answer:

x = - 7

Step-by-step explanation:

Step 1:

2x + 3 = x - 4          Equation

Step 2:

x + 3 = - 4       Subtract x on both sides

Answer:

x = - 7        Subtract 3 on both sides

Hope This Helps :)

Answer:

x = -7

Step-by-step explanation:

Given Equation :-

Solution :-

Step 1 :- Subtract x from both sides

Step 2 :- Move constant to the right hand side and change their sign.

Step 3 :- Combine like terms

When a 2 ft ribbon is cut into 10 proportional piece then each piece measures 0.2 ft. The model shows that there are 10 pieces that are each 0.2 ft long.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

From the given model, it is seen that Devin cut the ribbon in equal proportions. The number of proportions can be found by summing the different sections on the ribbon.

This number comes to 10 sections which means that Devin cut the ribbon into 10 pieces.

The length of each of these pieces is -

= Length of entire ribbon / Number of pieces

Substitute the values into the equation -

= 2 / 10

= 0.2 ft

Therefore, the length of each piece is 0.2 ft.

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Given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°

The two base angles of any isosceles triangle are always congruent to each other.

Therefore:

m∠CBD = m∠CDB

m∠CBD = 180° - 125° (supplementary angles)

m∠CBD = 55°

Therefore:

m∠CBD = m∠CDB = 55°

In summary, given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°

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Answer:

268 in²

Step-by-step explanation:

The surface area is basically the entire area of the figure. You can do it multiple ways, but this is how I did it. I found the area of each side and added them all together. There are three sets of identical sides. First, we'll calculate the area of the side with lengths 10" and 8".

10 · 8 = 80

There are two of these sides, so currently we have 80 + 80.

Next, the area of the sides with lengths 8" and 3". These are the sides at the top and bottom.

8 · 3 = 24

So to our equation we now have 80 + 80 + 24 +24.

For the final two sides, we have the dimensions 10" and 3".

10 · 3 = 30

To our equation, we add this to get 80 + 80 + 24 + 24 + 30 +30.

Add all these numbers together for 268.

In the correct form, we add the square symbol to show that we are talking about area. The answer is 268 in². Good luck :D

The largest area that can be enclosed with 100 meters of fencing is 1250 square meters.

To find the largest area that can be enclosed with 100 meters of fencing, we need to determine the dimensions of the rectangular area that would maximize the area.

Let's assume the length of the rectangle is L and the width is W. We are given that the total amount of fencing available is 100 meters, which means the perimeter of the rectangle should equal 100 meters:

2L + W = 100

To express the area of the rectangle in terms of L and W, we can use the formula:

Area = L * W

We want to maximize the area, so we can rewrite the equation in terms of a single variable using the perimeter equation:

W = 100 - 2L

Substituting this expression for W in the area equation:

Area = L * (100 - 2L)

Expanding and rearranging:

Area = 100L - 2L²

To find the maximum area, we can take the derivative of the area equation with respect to L and set it to zero:

d(Area)/dL = 100 - 4L = 0

Solving for L:

4L = 100

L = 25

Substituting this value back into the perimeter equation to find W:

W = 100 - 2L

= 100 - 2(25) = 50

Therefore, the dimensions of the rectangle that would maximize the area are L = 25 meters and W = 50 meters. To find the maximum area, we can substitute these values back into the area equation:

Area = L * W = 25 * 50 = 1250 square meters

Thus, the largest area that can be enclosed with 100 meters of fencing is 1250 square meters.

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The trigonometric function can be used to calculate the distance (4124966.128 AU) between the star and also the sun.

d = 4124966.128

Given:

Step 1: To calculate the distance in astronomical units here between star and the Sun, apply the trigonometric function.

The sine function is used to calculate the distance in step two.

sin Ф = P/ H

where H is the hypotenuse and P is the perpendicular.

Step 3: Replace the above expression with the known terms.

sin (0.00001389 ) = 1/d

Step 4: Condense the previous expression.

d = 4124966.128

Thus, the distance of star from the sun is found as d = 4124966.128.

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The product topology on \($X = X_1\) times \(X_2$\) is defined by taking the basis of open sets to be all sets of the form \($U_1\) times \(U_2$\), where \($U_1$\) is an open set in \($X_1$\) and \($U_2$\) is an open set in \($X_2$\). In other words, the basis consists of all possible Cartesian products of open sets in\($X_1$\) and \($X_2$\).

a) To show that this is a basis for the product topology, we need to show two things:

1. Every point in \($X$\) can be contained in a basis element.

2. The intersection of any two basis elements contains a basis element.

For the first condition, let \($(x_1, x_2)$\) be any point in \($X$\). Since \($X_1$\) and \($X_2$\) are topological spaces, there exist open sets \($U_1$\) and \($U_2$\) containing \($x_1$\) and \($x_2$\) respectively. Then, \($U_1\) times \(U_2$\) is an open set in the product topology and contains \($(x_1, x_2)$\).

For the second condition, let\($U_1\) times \(U_2$\) and\($V_1\) times \(V_2$\) be two basis elements. Their intersection is \($(U_1 \cap V_1)\) times \((U_2 \cap V_2)$\), which is a Cartesian product of open sets in \($X_1$\) and \($X_2$\). Therefore, it is a basis element.

b) To prove that \($A_1\) times \(A_2$\) is closed, we need to show that its complement,\($(A_1 \times A_2)^c$\), is open.

Note that \($(A_1 \times A_2)^c = (X_1 \times X_2) \setminus (A_1 \times A_2)$\) , where \($\setminus$\) denotes set difference.

Now, \($(X_1 \times X_2) \setminus (A_1 \times A_2)$\) can be written as \($(X_1 \setminus A_1)\) times \(X_2 \cup X_1\)times \((X_2 \setminus A_2)$\), which is a union of two Cartesian products of open sets.

Since \($A_1$\)and \($A_2$\) are closed subsets, \($X_1 \setminus A_1$\) and\($X_2 \setminus A_2$\) are open sets. Therefore, \($(X_1 \times X_2)\) \ \((A_1 \times A_2)$\) is a union of open sets and hence open.

Thus, \($(A_1 \times A_2)^c$\) is open, which implies that\($A_1 \times A_2$\) is closed.

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The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.

Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab

Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.

The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.

So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.

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Answer:

r=21

Step-by-step explanation:

r=-7×3

so the answer is r=21

The function f(x) = e^x^2 is not injective (one-to-one) on its natural domain because it fails the horizontal line test. This means that there exist different values of x within its domain that map to the same y-value. In other words, there are multiple x-values that produce the same output value.

To find the largest possible domain A, where all elements of A are non-negative and f(x) is defined, we need to consider the domain restrictions of the exponential function. The exponential function e^x is defined for all real numbers, but its output is always positive. Therefore, in order for f(x) = e^x^2 to be non-negative, the values of x^2 must also be non-negative. This means that the largest possible domain A is the set of all real numbers where x is greater than or equal to 0. In interval notation, this can be written as A = [0, +∞). Within this domain, all elements are non-negative, and the function f(x) is well-defined.

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The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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Answer:

4 gallons of black paint

Step-by-step explanation:

Ok so here I'd use proportions:

If he used 3 parts white and 2 parts black we get this fraction:

3/2

he buys 6 parts white but we don't know how much black paint we need so we can set this equal to each other like so:

\(\frac{3}{2} = \frac{6}{x}\)

the 6 parts white is set equal to 3 parts white now we cross multiply to find x

3x = 12

divide

x = 4

alternatively you could also just divide 6 by 3, you get 2 then multiply 2 by 2(black paint) and you would get the same answer

Elon Musk has the same amount as approximately 10⁶ Americans

From the question, we are to determine how many American combined Elon Musk has the same amount of money as

From the given information,

Elon Must is worth 10¹¹ dollars

and

An average American is worth 10⁵ dollars

To determine the number of American combined that Elon Musk has the same amount of money as, we will divide 10¹¹ by 10⁵

Division operation

10¹¹ ÷ 10⁵ = 10¹¹ ⁻ ⁵

= 10⁶

Hence, Elon Musk has the same amount as approximately 10⁶ Americans

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The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Answer:

12

Step-by-step explanation:

If line TV is 32 as shown on the 2nd line, then line TU is 32-20-12.

Answer:

12

Step-by-step explanation:

32-20=12