Snowflake the snowman wants to buy his friends new scarves. If each scarf costs $4.27, how much will Snowflake spend if he buys 5?

Answer:

A. Candice should reject the null hypothesis as the 95% confidence interval does not contain 12 hours

Step-by-step explanation:

Given that:

Average watch hour = 12

sample size = 79

The 95% Confidence interval lies between 7.60 and 11.37.

Thus, since the average watch of students in her school does not lie within the interval between 7.60 and 11.37, Candice should reject the null hypothesis.

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer: it’s actually

A and B: similar

B and C: not similar

A and C: not similar

Step-by-step explanation:

the person below me was actually wrong, i know because i took the quiz ( thx a lot bro got my quiz wrong)

The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)

where:

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)

On subtracting gives:

=C(10,  3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

The three triangle theorems include the following:

The positions of the theorems are as follows:

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (the legs) is equal to the square of the length of the longest side (the hypotenuse). This can be written as a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the legs.

The Law of Cosines states that in any triangle, the square of the length of a side is equal to the sum of the squares of the lengths of the other two sides, minus twice the product of the length of one side times the cosine of the angle between the other two sides. This can be written as c^2 = a^2 + b^2 - 2ab * cos(C)

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. This can be written as a/sin(A) = b/sin(B) = c/sin(C)

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Answer:

a=50

b=130

c=130

Step-by-step explanation:

2a-50=a(vertically opposite angles)

a=50

a+c=180(angles on straight line)

50+c=180

c=180-50=130

b=c(vertically opposite angles)

b=130

Answer:

$80

Step-by-step explanation:

400 times 20%= 80

400-80= 320

the cost of the computer on the weekend costed 320, so you save $80

Answer:

80$

Step-by-step explanation:

Answer:

C. -i

Step-by-step explanation:

i^n is expondential. i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1.

Answer:

it is i

Step-by-step explanation:

This triangle(Fig. 9.120) is a right angled triangle.

So, the three angles in this triangle are :

▪︎angle 90°, angle 63° and angle y.

Sum of all angles in a triangle = 180°

Which means :

\( = \tt90 + 63 + y = 180\)

\( = \tt153+ y= 180\)

\( = \tt \: y = 180 - 153\)

\( \hookrightarrow \color{plum}\tt angle \: y = 27°\)

Since the sum of all angles equals 180°[90+63+27=180] we can conclude that we have found out the correct measure of angle y.

▪︎Therefore, the measure of angle y = 27°

The triangle in Fig. 9. 121 is a right angled triangle.

So, the angles in this triangle are :

▪︎angle 90°, angle 28.3° and angle z.

Sum of all angles in a triangle = 180°

Which means :

\( = \tt 90 + 28.3 + z = 180\)

\( = \tt118.3 + z = 180\)

\( = \tt z = 180 - 118.3\)

\( \hookrightarrow \color{plum} \tt \: angle \: z = 61.7°\)

Since the sum of all angles equals 180°[90+28.3+61.7=180°] we can conclude that we have found out the correct measure of angle z.

▪︎Therefore, the measure of angle z = 61.7°

The triangle in Fig. 9. 122 is a right angled triangle.

So, the angles in this triangle are :

▪︎angle 90°, angle 45.8° and angle x.

Sum of all angles in triangle = 180°

Which means :

\( = \tt90 + 45.8 + x = 180\)

\( = \tt135.8 + x = 180\)

\( = \tt x = 180 - 135.8\)

\( \hookrightarrow \: \color{plum}\tt \: angle \: x = 44.2°\)

Since the sum of all angles equals 180°[90+45.8+44.2=180°] we can conclude that we have found out the correct measure of angle x.

▪︎Therefore, the measure of angle x = 44.2°

The triangle in Fig. 9.123 is a right angled triangle.

So, the angles in this triangle are :

▪︎angle 90°, angle 35.7° and angle y.

Sum of all angles in a triangle = 180°

Which means :

\( = \tt90 + 35.7 + y = 180\)

\( = \tt 125.7 + y = 180\)

\( = \tt y = 180 - 125.7\)

\( \hookrightarrow \color{plum}\tt angle \: y = 54.3°\)

Since the sum of all angles equals 180°[90+35.7+54.3=180°] we can conclude that we have found out the correct measure of angle y.

▪︎Therefore, the measure of angle y = 54.3°

No, angle x is not twice of angle y. As we know the value of angle x in fig. 9.122 is equal to 44.2°. And the value of angle y in fig. 9.123 is equal to 54.3°. Since the measure of angle x is lesser than angle y it cannot be twice as much as angle y.

Therefore, angle x is not twice as much as angle y since angle x < angle y.

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

\text{A = P(1 + r/n) }^{nt} &

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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Answer:

58.5 feet you're welcome

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

Part A:

Two examples are:

\(-2.5(-3.8)(-2) = 9.5(-2) = -19\)

\(-2.5(-2)(-0.7) = 5(-0.7) = -3.5\)

Part B:

The rule is that the result is always negative.

Part C:

Two examples are:

\(-2.5(-3.8)(2) = 9.5(2) = 19\)

\(-2.5(-2)(0.7) = 5(0.7) = 3.5\)

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Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Solution:

Given the coordinates of triangle ABC below;

For point matrix ABC, the formula is

After dilation by a factor of 2/3, the matrix becomes

Hence, the answer is

The vertex of the parabola is (4,0) and the axis of the symmetry is x = 4.

Given the function g(x)= x + 4, what is the vertex of the graph of the function

The vertex form of a quadratic function is

f(x) = a(x – h)2 + k

Where a, h, and k are constants. Here, h represents horizontal translation, a represents vertical translation and (h, k) is the vertex of the parabola. Also, a represents the Vertical stretch/shrink of the parabola and if a is negative, then the graph is reflected over the x-axis.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Given, g(x) =x+4

Here, h = 4, k = 0

So, the vertex of the parabola is (4,0) and the axis of the symmetry is x = 4

Hence the answer is, the vertex of the parabola is (4,0) and the axis of the symmetry is x = 4

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The circumference (c) is the dependent variable.

The radius (r) is the independent variable.

An independent variable is a variable that does not depend on any other variable for its value

A dependent variable is a variable depend on any other variable for its value.

In the rule c = 6.3r, the circumference (c) of a circle depends on the  radius for its value while the radius (r) does not depend on the circumference for its value.

Thus, the circumference (c) is the dependent variable while the radius (r) is the independent variable

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Answer:

6 2/3

Step-by-step explanation:

Answer:

a) 1 solution

b) infinite solutions

c) 1 solution

Step-by-step explanation:

If you were to solve each of the problems:

a)

\(2x+6=7x+5\\2x-7x=5-6\\-5x=-1\\5x=1\\x=\frac{1}{5}\)

This equation only has one solution: 1/5.

b)

\(6v+8=8+6v\\6v-6v=8-8\\0=0\)

This equation has infinite solutions.

c)

\(10-e=e-10\\10+10=e+e\\20=2e\\e=10\)

This equation also only has 1 solution: 10.

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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The fraction of Kaitlins family have green or brown eyes is 5/8

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Green = 3/8

Brown = 2/8

This means that

Green or Brown = 3/8 + 2/8

Evaluate the like terms

Green or Brown = 5/8

Hence, the fraction is 5/8

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The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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Answer: 1/864 =0.00116

Step-by-step explanation: simplify 3/8

divide 3/8 by 5= 3/40

3/40 divided by 24 =1/720

10/27 X 1/320= 1/864

simplify 10/27 and get 1/864 as a fraction but in a decimal 0.00116

The value of the expression 0 /27 ×((3/8 )÷ (5/24))  using division of fractions is 2/3

For dividing two fractions we keep the first one as it is and replace the sign of division by multiplication and take the reciprocal of the second number .

For example if we want to divide (a/b) by (c/d)

Then we write its as (a/b) ÷(c/d) = (a/b) × (d/c)

For evaluating the expression 10 /27 ×((3/8 )/ (5/24))

First evaluate (3/8 divided by 5/24)

(3/8)÷(5/24) = (3/8)×(24/5) = (3 ×24)/(8×5) =9/5

Now,

10 /27 ×((3/8 )/ (5/24)) =( 10/27 )× (9/5) = (10×9)/(27×5) = 2/3

Therefore, the value of the expression 10/27 x (3/8 divided by 5/24)  is 2/3.

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Answer:

c = 41 ft

Step-by-step explanation:

To solve this problem, we can use the pythagorean theorem, which is defined by the formula \(a^2+b^2=c^2\). We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:

\(9^2+40^2 = c^2\\c^2 = 81 + 1600\\c^2 = 1681\\c = 41\)

This is the first option.

Step-by-step explanation:

f(-3)=11

f(-1)= -1

f(1)= 3

f(3)= 23

Answer:

A and A that is the answer

The linear function that describes the data in the table for this problem is given as follows:

C. P(h) = h + 11.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

From the table, we have that when h increases by 1, P(h) also increases by 1, hence the slope m is given as follows:

m = 1/1 = 1.

Hence:

P(h) = h + b.

When h = 4, P(h) = 15, hence the intercept b is given as follows:

15 = 4 + b

b = 11.

Hence the rule is:

P(h) = h + 11.

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