5 cards are drawn at random from a standard deck.
Find the probability that all the cards are hearts.


Find the probability that all the cards are face cards.

Note: Face cards are kings, queens, and jacks.

Find the probability that all the cards are even.

(Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)

Answers can be entered as unreduced fractions.
Submit QuestionQuestion 5

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

\(5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}\)

Solving using substitution method:

Let:

\(5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)\)

Find value of x from eq(1) and put in eq(2)

\(5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}\)

Put value of x in eq(2)

\(\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}\)

Now, finding value of x by putting value of y in eq(1)

\(x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4\)

So, Value of x=4 and y=-13/3

The circles are similar because you can translate circle 1 using the transformation rule (x + 10, y) and then dilate it using a scale factor of 2/5.

First analyze the centers, the original center is at (-3, 5) and the new center is at (7, 5)

The change is in the x-value, the change is:

7 - (-3) = 10

So there is a translation of 10 units to the right,

And the original radius is R = 10, the new one is R' = 4

if the scale factor of the dilation is k we can write:

10*k = 4

k = 4/10 = 2/5

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Answer:

7/3 or 2 1/3

Step-by-step explanation:

8/3 -2/6

Need a common denominator

Multiply 8/3 × 2/2

16/6 - 2/6

Subtract the numerators

14/6

simplify

7/3 or 2 1/3

40 + 30 + 18

= 70 + 18

= 88

Answer:

88

Step-by-step explanation:

40+30+18=70+18=88

You must be a minimum of 18 years old to vote. The correct answer is option (b).

we have

x >= 18

The interval is the answer to this inequality-----> [18, ∞)

bigger than or equal to all real numbers

Case A:

To vote, you must be older than 18 years old.

The inequality in this instance that represents the assertion is

v > 18  is not correct

Case B:

You must be a minimum of 18 years old to vote.

The inequality in this instance that represents the assertion is

v >= 18  is correct

Case C:

Before turning 18 years old, you can cast a ballot.

The inequality in this instance that represents the assertion is

V < 18  is not correct

Case D:

When you are 18 years old, you are too old to vote.

You are unable to vote in this instance when

v = 18

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The rest of the question is,

a). You must be older than 18 years old to vote.

b). You must be at least 18 years old to vote.

c). You can vote before you turn 18 years old.

d). You cannot vote when you are 18 years old.

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 30 = n/ 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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Answer:

p=-8,q=10

Step-by-step explanation:

pq-10p+8q-80

p(q-10)+8(q-10)

(p+8),(q-10)=o

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

Hello! answer: 94.37

Hope this helps!

Answer:

Slope (m): 1/2

Step-by-step explanation:

The rise is 1. As you can see on (-6,0), it goes up one and goes to the right 2 times. ( rise/run). This pattern continues as you can see on your graph.

Answer:

D 1/8

Step-by-step explanation:

48/6 = 8

Hence, the fraction must be 1/8

This is because when 6 is divided by 1/8,

6/(1/8)

= 6 * 8

= 48

Hence, the answer is D. 1/8

Hope this helps and be sure to mark this as brainliest! :)

Answer:

1/8

Step-by-step explanation:

6 ÷ x = 48

Multiply each side by x.

6 ÷ x *x = 48*x

6 = 48x

Divide each side by 48

6/48 = 48x/48

1/8 = x

Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.

The z-score of a measure X of a variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score measures how many standard deviations the measure is above or below the mean.

In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{29.95 - 22.58}{3}\)

Z = 2.46.

Hence, all of the values fall within 2.46 standard deviations of the mean.

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Answer:

2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2

B is the correct answer.

After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.

To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.

The formula for calculating the surface area of each triangular face is:

(1/2) x width x height

27.31 square feet = (1/2) x 7 feet x 7.79 feet

24 square feet = (1/2) x 6 feet x 8 feet

Simply multiply the length and width to find the area of the rectangular base:

7 feet by 6 feet equals 42 square feet

As a result, the total surface area of the pyramid is:

145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet

As a result, 145.62 square feet of glass are required to cover the entire pyramid.

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Answer: 102.53

Step-by-step explanation:  I calculated all the numbers you gave me and then added them to get 102.53

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

Zyfebefbdwg vd f vd f fudged banshee Hdhdhdjfjfhevdbdbevsbevwg

The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

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Answer:

1000 ft/min

Step-by-step explanation:

Rate of change in ft per min is 1000 ft per 1 minute from reading the graph

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Sandy can install 24 fixtures in 29 hours.

Given:

Sandy can assemble a particular type of light fixture in 3/8 of an hour.

It takes her 2/3 of an hour to hang the fixture in another 1/6 of an hour to wire the fixture once a tongue.

First sum all the sub hours given that is,

⇒3/8 + 2/3 + 1/6

LCM of 8,3,6 is 24

⇒9 + 16 + 4 / 24

⇒29/24

Now do division between 29 hours and 29/24 we get,

⇒29/29/24

⇒29*24/29

⇒24 fixtures.

Therefore Sandy can install 24 fixtures in 29 hours.

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Another word that has horizontal line symmetry is "book" and it is possible to form words with vertical line symmetry.

This implies that by dividing the letter in half using a horizontal line both sides would be the same. Lettters with horizontal line symmetry include:

Yes, they are because there are many letters that have this symmetry such as V, T, A, O, M, I, H. For example you can create the words:

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Answer:

oo = infinity btw

Decreasing: (-oo, 1)

It is going down in that interval

Answer:

32

Step-by-step explanation:

Since there are 20 total pieces of gum, we divide 20 by 5 to figure out how many groups of 8 pieces of candy there are (For every 8, 5 are gum). This gives us 4 groups of 8. Because for every 8 pieces, 5 are gum, we subtract 5 from 8 and get three. Multiply 3 by 4 (the number of groups), and we get 12 other pieces of candy. Add to 20, and we get 32. To check, divide 32 by the number of groups (4) and we get 8, which is how many pieces of candy are in each group.

Graph Transformations

There are many times when you’ll know very well what the graph of a

particular function looks like, and you’ll want to know what the graph of a

very similar function looks like. In this chapter, we’ll discuss some ways to

draw graphs in these circumstances.

Transformations “after” the original function

Suppose you know what the graph of a function f(x) looks like. Suppose

d 2 R is some number that is greater than 0, and you are asked to graph the

function f(x) + d. The graph of the new function is easy to describe: just

take every point in the graph of f(x), and move it up a distance of d. That

is, if (a, b) is a point in the graph of f(x), then (a, b + d) is a point in the

graph of f(x) + d.

As an explanation for what’s written above: If (a, b) is a point in the graph

of f(x), then that means f(a) = b. Hence, f(a) + d = b + d, which is to say

that (a, b + d) is a point in the graph of f(x) + d.

The chart on the next page describes how to use the graph of f(x) to create

the graph of some similar functions. Throughout the chart, d > 0, c > 1, and

(a, b) is a point in the graph of f(x).

Notice that all of the “new functions” in the chart di↵er from f(x) by some

algebraic manipulation that happens after f plays its part as a function. For

example, first you put x into the function, then f(x) is what comes out. The

function has done its job. Only after f has done its job do you add d to get

the new function f(x) + d. 67Because all of the algebraic transformations occur after the function does

its job, all of the changes to points in the second column of the chart occur

in the second coordinate. Thus, all the changes in the graphs occur in the

vertical measurements of the graph.

New How points in graph of f(x) visual e↵ect

function become points of new graph

f(x) + d (a, b) 7! (a, b + d) shift up by d

f(x) Transformations before and after the original function

As long as there is only one type of operation involved “inside the function”

– either multiplication or addition – and only one type of operation involved

“outside of the function” – either multiplication or addition – you can apply

the rules from the two charts on page 68 and 70 to transform the graph of a

function.

Examples.

• Let’s look at the function • The graph of 2g(3x) is obtained from the graph of g(x) by shrinking

the horizontal coordinate by 1

3, and stretching the vertical coordinate by 2.

(You’d get the same answer here if you reversed the order of the transfor-

mations and stretched vertically by 2 before shrinking horizontally by 1

3. The

order isn’t important.)

74

7:—

(x) 4,

7c’

‘I

II

‘I’

-I

Answer: 3.84

Step-by-step explanation:

cause it is use calculator

Answer:

8.64 ÷ 2.25=3.84

Your answer: 3.84

Step-by-step explanation:

3.8x12.6= 47.88 liters