Foofy asks a sample of students their choice in the election for class president. She concludes that Poindexter will win. It turns out that Dorcas wins. What is the statistical explanation for Foofy's erroneous prediction?

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

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

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

Step-by-step explanation:

here is the ans

the perimeter= 130m

hope so this might help you

Answer:

Step-by-step explanation:

24 people

Okay so 1/3 is in front of him, and 5/8 are behind him. We can add these up and see how much is missing, which can only be 1 person, Jack.

1/3+5/8 = 23/24

We got 23/24, and there's 1 person missing, who's Jack!

24 people are in the queue.

Answer:

x=-4,\:y=-2

Step-by-step explanation:

Answer:

x=-4

y=-2

Step-by-step explanation:

-4x-4y=24. .........1

3x+10=y...........2

since y is already isolated in equation 2 we can substitute the y value

subs 2 into 1

-4x-4(3x+10)=24.

-4x-12x-40=24

-16x=24+40

x=-4.....3

subs 3 into 2

3(-4)+10=y

-12+10=y

-2=y

Answer:

X^4 - 5x^2 + x + 10

Step-by-step explanation:

The biggest expont goes first

Answer:

x^(4)-5x^(2)+10

Step-by-step explanation:

Answer:

For 3:

A) 80 m

B) 2 min

C) From time t=6 min to t=8 min; the slope is the steepest here

D) 50 m/min

For 2:

C) 6,000 ft; the skydiver is 6,000 ft above ground at time t=0

D) The slope is negative, so the skydiver is descending. I cannot read the numbers well enough to determine the value of the slope.

E) 4 min(?)

F) y = 6,000 -(slope)*x

Step-by-step explanation:

As I cannot read some of the numbers, I will explain how to find the slope to you. Pick 2 points on the line. Use (y-y)/(x-x), where y is the height and x is the time.

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that the expression is,

x + 20 ≤ -10

Rearrange the expression as

x≤ -10-20

x≤ -30

Thus, the value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

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Answer:

option 2,5 are correct

Step-by-step explanation:

mark me as brainliest ❤️

Answer:

\(option \: 3) \\ 4) \\ 5) \\ are \: infinite \: set \\ number \: of \: animals \: = \infty \\ subset \: of \: ntural \: number = \infty \\ set \: of \: \: multiple \: of \: 107844 \\ thank \: you\)

Answer:

32π²

Step-by-step explanation:

To solve this, we can use the washer method.

We can start by dividing the donut into horizontal sections. Each horizontal section is a hollow cylinder, with the inner cylinder's radius being the difference between x=4 and x²+y²=4, which can also be written as x = √(4-y²) (we do not need the negative x values as the inner cylinder does not encompass any part of the circle). This is (4-√(4-y²)) .

Similarly, the outer radius will be equal to the difference between 4 and the other side of the circle. This encompasses the circle and the extra area in between, so x will be negative here, making it (4-(-√(4-y²)) = 4+√(4-y²).

The area of the cylinder for a given Δy can be represented by

(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy. This space represents a cylinder in the donut created with the height being Δy. Simplifying the equation, we get

(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy = πΔy((4+√(4-y²))²- (4-√(4-y²))²)

(4+√(4-y²))²- (4-√(4-y²))² = 16+8√(4-y²) + 4-y² - (16-8√(4-y²)+4-y²)

= 16√(4-y²)

(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy = 16√(4-y²)πΔy

The donut ranges from all y values from -2 to 2, and to add all the areas of the cylinders up between these y values, we can make this an integral,

\(\int\limits^2_{-2} {16\pi \sqrt{4-y^2} \, dy\\\)

perform u substitution, make y = 2sin(u). If y=2sin(u), then y/2 = sin(u) and arcsin(y/2) = u

\(\int\limits^2_{-2} {16\pi* 2cos(u) \sqrt{4-4sin^2(u)} \, du\\\)

take the 32π out of the integral

\(32\pi\int\limits^2_{-2} {cos(u) \sqrt{4-4sin^2(u)} \, du\\\\= 32\pi\int\limits^2_{-2} {cos(u) *2cos(u)} \, du\\\\\\= 32\pi\int\limits^2_{-2} {2cos&^2(u)} \, du\\\\\\\\\\\)

take the 2 out of the integral

\(64\pi\int\limits^2_{-2} {cos&^2(u)} \, du\\\)

One reduction formula we can use here is that

\(\int\limits {cos^nx} \, dx = \frac{1}{n} cos^{n-1}(x) sin(x) +\frac{n-1}{n} \int\limits {cos^{n-2} (x)} \, dx\)

Applying that here, we get

\(\int\limits {cos^2u} \, du = 0.5cos(u)sin(u) + 0.5 \int\limits {1} \, du\\= 0.5cos(arcsin(y/2))sin(arcsin(y/2)) + 0.5(arcsin(y/2))\)

take that cos(arcsin(x)) = √(1-x²) and sin(arcsin(x)) = x and we get

\(\int\limits {cos^2u} \, du = 0.5\sqrt{1-y^2/4}*(y/2) + 0.5arcsin(y/2)\\= 0.25y\sqrt{1-y^2/4} + 0.5arcsin(y/2)\\\)

multiply this back with the 64π to get

\(16\pi y\sqrt{1-y^2/4} + 32\pi arcsin(y/2)\)

as our integral. Applying this to the bounds of [-2, 2], we get

16π(2)√(1-4/4) + 32πarcsin(1) - (16π(-2)√(1-4/4) + 32πarcsin(-1))

= 0 + 32π(π/2) - 32π(-π/2)

= 16π²+16π²

= 32π²

as our answer

Answer:

y=1.5

x=-3.5

Our answer is (-3.5,1.5)

Step-by-step explanation:

y-5=x

x=-2-y

y=?

--------

Using substitution,

y-5=-2-y

Solve:

2y-5=-2

2y=3

y=1.5

We can enter 1.5 into the equation:

1.5-5=x

-3.5=x

The power set P(A) is P(A) = { {}, {x}, {y}, {z}, {x,y}, {x,z}, {y,z}, {x,y,z} }

The power set of a set A is the set of all subsets of A, including the empty set and A itself.

For the set A = {x, y, z}, the possible subsets are:

Therefore, the power set of A, denoted P(A), is:

P(A) = { {}, {x}, {y}, {z}, {x,y}, {x,z}, {y,z}, {x,y,z} }

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a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Answer:

10+0.60+0.03

Step-by-step explanation:

simple

Hey there!

Note; When you see the phrase “expanded form” think of the SUM (addition) formation of a given which writes as it is added with the given which makes it an single value when it is multiplied by the place value

Now that we have that note/fact out of the way we have answer your question!

Answer: 10 + 0 + 0.6 + 0.03 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

$8.09

Step-by-step explanation:

To find the average you have to divide so 218.43/27 is 8.09

Answer:

.112 m by .157m OR 4.43 by 6.20 in

Step-by-step explanation:

The scale is 1:40, meaning that if the house plan shows 1 of something, the real life version is 40 times larger. Given this information:

4.5 m by 6.3 m is the ACTUAL SIZE.

Given this, we need to divide by 40 to get the room PLAN.

0.1125 by 0.1575 meters, OR 4.42913386 by 6.2007874 inches.

Simplifed,

.112 m by .157m OR 4.43 by 6.20 in

:)

Answer:

The answer is 13.005

Step-by-step explanation:

Answer:

13.005

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps

Step-by-step explanation:

1. Label each side of the Triangle

Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).

2. Cross out the 'useless' side

Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.

3. Decide which method is correct

We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.

4. Know the formula

Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.

Cos( ) = A/H

5. Substitute in your numbers

Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:

Cos(x)

Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.

Our formula will look like this:

Cos(x) = 7/12

6. Reverse it and calculate

Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:

cos-^1(7/12)

The result should say 54.31466529.

7. Round

Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,

 our answer is 54.3 degrees.

The value of y at x =15 is 9.

Two variables are said to be in Direct Variation when increasing one variable the other also increases.

The direct variation is represented by

y ∝ x

y = kx

where k is the proportionality constant

the value of y =12 , x = 20

12 = k * 20

12/20 = k

k = 0.6

The equation becomes

y = 0.6 x

The value of y at x = 15 is

y = 0.6 * 15

y =9

Therefore, the value of y at x =15 is 9.

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Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

Answer:

3/4 cups of water

Step-by-step explanation:

If there are 1/3 cup of milk for 1/4 cup water that means that if you make the denominator the same which would make 4/12 cup milk and 3/12 cup of water and add 3/12 +3/12+3/12 you get 9/12 which is 3/4 cups. adding 3/12 three times because it is 1/3 cup milk.

Let's define the following variables.

x = amount of $8 sparkling water

y = amount of $3 sparkling water

z = amount of $4.50 sparkling water

If we want to create 200 gals of sparkling water then we can form the equation below:

"She must use twice as much of the $4.50 water as the $3.00 water" means the amount of z must be twice to equate to y.

Using the value of y, we can rewrite equation 1 as:

Then, applying the cost per gallon in each type of sparkling water, we have another equation:

To summarize, we have:

Equation 1: x + 3y = 200

Equation 2: 8x + 12y = 1000

Graphing these two equations, we get:

The intersection of the two equations is at (50, 50)c

Therefore, the value of x = 50 gallons and the value of y = 50 gallons.

Now, since z = 2y, ten xz = 2(50) = 100 gallons. z = 100 gallons

In conclusion,

50 gallons of $8.00 sparkling water

50 gallons of $3.00 sparkling water

100 gallons of $4.50 sparkling water

Answer:

480min a month

Step-by-step explanation:

4×30 =120

120×4=480

Answer:

is there an equation for the problem?

Step-by-step explanation:

Answer:

11/24 pound

i think so right

There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.

To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:

Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.

There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.

Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,

So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.

As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.

Number of sets of five marbles that include both the lavender one and exactly one yellow one:

We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.

We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.

To find the number of sets that include both, we can choose any one yellow marble and the lavender one.

There are 2 choices for the yellow marble and 1 choice for the lavender one,

So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.

Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:

Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.

The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,

So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.

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Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.

Given are the two coordinates to be plotted on a Cartesian plan -

(5, 4) , (3, 4).

The two given coordinate points are (5, 4) , (3, 4).

Refer to the graph attached. It shows both the points plotted.

Therefore, both the coordinate points are plotted on the cartesian graph.

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The equation for the line of symmetry goes thus:

where a = coefficient of x^2 = 1

b = coefficient of x = -12

Thus the equation is x = 6

The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.

As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:

1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.

2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.

3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.

4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.

5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.

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