I choose a card at random from a well-shuffled deck of 52 cards.
The probability that the card chosen is a spade or a black card
is:




a.

37/52




b.

38/52




c.

39/52




d.

36/52

Answer:

x=11

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

10x-4+5x+19=180

Combine like terms

15x+15=180

      -15    -15

15x=165

divide by 15

x=11

It implies that when F(x) shifts 7 units to the left, we get the value equal to G. (x). As a result, the graph of G(x) is the graph of F(x) with 7 units added to the left.

The graph of g is the reflection of the graph of f. If g(x) = f(-x), then the graph of g is obtained from the graph of f by reflecting about the y-axis.

For instance, the result of multiplying f(x) and g(x) is h(x) = fg (x), or h(x)=f(x)g (x). if f is the function denoted by f(x) = x2 and g is the function denoted by g(x) = x + 3.

Therefore,

The Correct answer is : The two functions G(x) and F are provided to us (x).

We must determine which assertion most accurately contrasts the graphs of G(x) and F(x).

Suppose

F(x) = x [/ tex]

G(x) = x-7

When x = 1 is substituted

So, F(x) = 1

G(x) = 1-7 = -6

It implies that we obtain the value equal to the value of G when F(x) shifts 7 units to the left (x).

The graph of G(x) is therefore the graph of F(x) with 7 units added to the left.

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Answer: 4 hours

Step-by-step explanation:

Given

Auto charge a fixed amount of $35

and $7 per hour

Rafa bill was $63

Suppose Rafa travels for x hours. So, we can write

\(\Rightarrow 63=35+7x\\\Rightarrow 28=7x\\\Rightarrow x=4\ \text{hour}\)

If you use the normal distribution to estimate the probability that score exceeds 100, the answer would be zero.

This is because a normal distribution is a continuous probability distribution, and the probability of any individual score, no matter how high or low, is always zero.

However, this answer contradicts the assumption of a normal distribution for scores because it implies that scores cannot exceed 100, which is not true. Scores can theoretically range from negative infinity to positive infinity, and in practice, there may be some scores above 100, especially if the measurement instrument is imprecise or the test is very difficult.

Therefore, if we observe scores that are higher than 100, it suggests that the assumption of a normal distribution may not be appropriate for the data, and we may need to use a different distribution or statistical model to estimate probabilities or make inferences about the scores.

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By adding up all the possible ways to distribute the coupon and subtracting it from the possible ways to distribute the 10 coupons to the 15 men, we can determine the total number of ways at least a woman can receive a coupon.

- The entire number of options for dividing the coupons among the 20 customers is the same as the total number of ways to choose a subset of 10 items from a set of 20.

In other terms, 20/10 = 20!/ 10!10 is the combinatorial number of 20 and 10.

- We must use the same calculation as above, but with a set of 15 items rather than 20, to get the total number of alternatives for distributing the coupons among the 15 males.

We now have 15/10, which is 15!/10!5! possibilities.

To ensure that at least one woman receives a coupon, we have 20/10 - 15/10 distribution options.

A combination is made up of r items chosen without replacement from a set of n items, where the order is irrelevant.

The amount of circular permutations of n other objects, taken r at a time, is nPr 2r if clockwise and anti-clockwise configurations are not considered to be distinct. Combinations are various groups or choices made from a variety of items, either all or some of them.

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The title of this graph shown in the image attached below is "Number of Kg. of rice donated for Typhoon Roly's victim."

Generally, the title of a graph is typically placed at the top. Based on the information provided in the graph (see attachment), the title of this graph is "Number of Kg. of rice donated for Typhoon Roly's victim."

In this scenario, the kind of graph shown is referred to as a bar graph.

A family with the most number of kilograms of rice donated is the "Carlage family" because their data has the tallest rectangular bar, which corresponds with 150 kg.

A family with the least number of kilograms of rice donated is the "Dioneda family" because their data has the shortest rectangular bar, which is equal to 75 kg.

The total number of kilograms of rice donated is given by:

Total number = 150 + 100 + 175 + 120 + 100

Total number = 645 kg.

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Answer:

b

Step-by-step explanation:

Answer:

D.) y >= -2

Step-by-step explanation:

B is wrong; x > 0

C is wrong; y values are greater than or equal -2

Answer:

I think x=3.9

Step-by-step explanation:

I think the midline is the bottom value divided by 2 so that means 61/2=30.5. then 30.5-11=19.5. then 19.5/5=3.9

Answer:

-3x+190

Step-by-step explanation:

180-(3x-10)

180-3x+10

-3x+190

Answer:

\(180 - (3x - 10) \\ = 180 - 3x + 10 \\ = 190 - 3x\)

hope I am correct

thanks!

Answer:

b i think but y are u looking forward to this

Answer:

\( {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = ({7 \sqrt{2}) }^{2} + ( {7 \sqrt{2} ) }^{2} \\ {c}^{2} = 2(49 \times 2) \\ {c}^{2} = 196 \\ c = \sqrt{196} \\ c = 13 \: units\)

The given pattern is a sequence of fractions where each term is obtained by dividing a value, denoted as 'x', by a different power of 2. The pattern starts with 2x/3, followed by x/3, x/6, x/12, and so on.

To understand the pattern, let's analyze each term:

2x/3: The initial term represents twice the value 'x' divided by 3.

x/3: The second term is obtained by halving the previous term. Here, 'x' is divided by 3, which is equivalent to multiplying by 1/2.

x/6: The third term is obtained by halving the previous term once again. 'x' is divided by 6, which is equivalent to multiplying by 1/2.

x/12: The fourth term follows the same pattern, halving the previous term. 'x' is divided by 12, which is equivalent to multiplying by 1/2.

Based on the given pattern, it is evident that each term is obtained by dividing the previous term by 2. Therefore, the next number in the pattern can be determined by dividing x/12 by 2:

x/12 ÷ 2 = x/24

Hence, the next number in the pattern is x/24.

In summary, the pattern involves dividing 'x' by powers of 2 successively. The sequence starts with 2x/3 and each subsequent term is obtained by halving the previous term. Therefore, the next number in the pattern is x/24.

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A and C are the right equation

Answer: X - 2y = 6

Hope it helped!

Answer:

2x+y=-7

Step-by-step explanation:

I had to use my graphing calculator. This looks like it is the answer.

Answer:

look at any notes, to bits at a time hope this helped!

Step-by-step , explanation:

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

Explanation:

"six subtracted from x" translates to "x-6"

So the word problem updates to "x-6 is less than -15"

Then we replace the "is less than" with "<" without quotes.

---------

Extra info: If you want to solve for x, then we add 6 to both sides like so

x-6 < -15

x-6+6 < -15+6

x+0 < -9

x < -9

So any number smaller than -9 will work in place of x.

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the areas.

Since we know that, radius = diameter /2

here, => d = 2r ,

hence we use the formula as,

A = πr^2 ,

here option d.) is correct.

Proofreading refers to the checking for errors in a text before it is published or shared. It is the last stage of the writing process. One correct minor spelling and punctuation mistakes.

The following are the symbols in proofreading;

lc - lowercase a letter

bf - set in boldface

ital - set in italics

sp - spell out

cap - change from lowercase to uppercase/ capital letter

here, we have,

lc

so, we get,

Therefore, the correct answer is option C. Lowercase a letter.

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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The statement for all integers m and n, "4 | (m²n²)" is true if and only if both m and n are even numbers.

To prove that "4 | (m²n²)" if and only if m and n are even numbers, we need to show two conditions.

1. If m and n are even numbers, then 4 divides (m²n²):

Assume m and n are even numbers, which means they can be expressed as m = 2k and n = 2l, where k and l are integers.

Substituting these values into (m²n²), we have (2k)²(2l)² = 4k²l².

Since 4 can be factored out, we can rewrite it as 4(k²l²), which shows that 4 divides (m²n²).

2. If 4 divides (m²n²), then m and n are even numbers:

Assume 4 divides (m²n²), which means (m²n²) is a multiple of 4.

To prove that m and n are even numbers, we will use proof by contradiction. Let's assume that either m or n is an odd number.

If m is an odd number, it can be expressed as m = 2k + 1, where k is an integer. Then m² = (2k + 1)² = 4k² + 4k + 1, which is not divisible by 4. Similarly, if n is an odd number, n² will not be divisible by 4.

Therefore, both m and n must be even numbers.

By proving both conditions, we have shown that "4 | (m²n²)" if and only if m and n are even numbers.

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Answer:

3131 meters

3332 - 210 = 3122

3122 +9 = 3131 meters

Step-by-step explanation:

The solution of the logarithmic equation is x = 2.

Given is a logarithmic equation ㏒ x + ㏒ (x+2) = ㏒ 8, we need to solve for x,

So,

The logarithmic equation is ㏒ x + ㏒ (x+2) = ㏒ 8,

Applying the log rule we get,

x(x+2) = 8

x²+2x = 8

x² + 2x - 8 = 0,

Solving for x,

x = 2 and x = -4,

Checking for extraneous solutions.

Verify solution x = 2 [true]

x = -4 [false]

Hence the solution of the logarithmic equation is x = 2.

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Arthur's section would measure 27.6°

A circle has 360° which means that to find out the degrees of each section, you should divide 360° by the number of sections.

= 360 / number of sections

= 360 / 26

= 13.84°

If Arthur takes up two sections, he will be seating on:

= 13.84 x 2

= 27.6 °

Arthur's section would therefore measure 27.6°.

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Answer:

50%

Step-by-step explanation:

In order to change a decimal into a percent, move the decimal to the right twice and add a percent sign

0.5 = 5.0 once

5.0 = 50.0 twice

And add a percent sign 50%

Answer:

Your answer would be 50%

Step-by-step explanation:

you would move the 5 to the left 2 times let me show you.  

0.5 = 05. then 05. = 50. which would be 50%

please give brainliest if correct <3

Answer:

are you asking how much he saved? i'm confused.

because if he earned 20 by saving and 5 from his tooth - that's only 25$!

where did the other 25 come from??? was it from his savings?

Answer:

The answer is B: 226 ft

Step-by-step explanation:

Just did the assignment on edg

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504\)

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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In an orthic triangle, triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC.

An orthic triangle is formed by constructing perpendiculars from the vertices of a given triangle to the opposite sides. In this case, we have triangle ABC, and by constructing perpendiculars from the vertices A, B, and C to the opposite sides, we obtain triangle AEF, triangle BFD, and triangle CDE.

To show that triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC, we need to demonstrate that their corresponding angles are congruent and their corresponding sides are proportional.

Since triangle ABC and its orthic triangles share the same vertices, their corresponding angles are congruent. The perpendiculars drawn from the vertices of triangle ABC to the opposite sides create right angles, ensuring that the corresponding angles in the orthic triangles are also right angles.

Regarding the sides, the perpendiculars from the vertices of triangle ABC divide the sides into segments. By the properties of perpendicular lines, these segments form similar triangles with triangle ABC. Therefore, the corresponding sides of triangle AEF, triangle BFD, and triangle CDE are proportional to the sides of triangle ABC.

By establishing congruent angles and proportional sides, we can conclude that triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC.

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