how many cubes are added

The confidence interval is (233.8436; 271.0564).

What is a confidence interval?

The likelihood that a population parameter will fall between a set of values for a specific percentage of the time is referred to as the confidence interval. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

What is the margin of error?

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.

We have,

Sample mean = 252.45

Sample standard deviation = 74.50

n = 64

α = 0.05

By applying the margin of error formula, we get

Margin of Error = tα/2 * s/√n

df = n - 1 = 64 - 1 = 63

t(α/2, df = 63) = 1.998

Margin of Error = 1.998 * 74.50/√64

Margin of Error = 18.6064

The confidence interval = 252.45 ± 18.6064

= (233.8436; 271.0564)

Hence, the confidence interval is  (233.8436; 271.0564).

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Based on the given ratio of modern and classical songs learned, the number of modern songs learned if 9 classicals have been learned is 15

If the choir has learned 9 classical songs;

Equate the ratio of the number of modern songs to the number of classical songs

5 : 3 = x : 9

5/3 = x/9

5 × 9 = 3 × x

45 = 3x

divide both sides by 3

x = 45/3

x = 15

In conclusion, the number of modern songs they have learned if they learn 9 classical songs is 15

Complete question:

Raymond sings in a choir called the Seaville Songbirds. For every 5 modern songs they learn, the choir leader teaches them 3 classical songs.

If the choir has learned 9 classical songs, how many modern songs have they learned?

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Probability that the sample mean rent is less than $2,918.03 is 0.050154

We are given that the Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2886. Assume the standard deviation is $586.

Also, a real estate firm samples 94 apartments.

Let X  = sample mean rent

The sample mean's z-score probability distribution is provided by;

              Z =  X-u/σ/[tex]\sqrt{n}[/tex] ~ N(0,1)

where,  u= population mean monthly rent = $2,886

             σ = standard deviation = $586

             n = sample of apartments = 94

Now, the probability that the sample mean rent is less than $2,918.03 is given by = P( < $2,918.03)

P( < $2,918.03) = P(Z < 0.52)= 0.050154

The above probability is calculated using z table by looking at value of x = 0.52 in the z table which have an area of 0.050154

Therefore, probability that the sample mean rent is less than  $2,918.03is 0.050154

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The old monthly payment was =  10.67 x 70 = 746.9

The new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

Given,

Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan

According to the question:

So, per thousand value of $70,000 is 70000/1000 =70

Now, the old monthly payment was =  10.67 x 70 = 746.9

He decides to renew and will now pay $11.10 monthly per thousand on his loan.

So, the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100

9.8406 % and to nearest tenth it is 9.8406%

Hence,  the old monthly payment was =  10.67 x 70 = 746.9

the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

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Using Combination formula, total 2,24,070 ways to make a math team of 14 selected students in which consist of 8 seniors and 6 juniors.

We have following information,

total number of seniors in math club = 15

total number of juniors in math club = 11

total number of students in math club = 26

A math team of 14 students be choosen from maths club such that it consists 8 seniors and 6 juniors .

Number of ways to choose 8 seniors out of 15 seniors = ¹⁵C₈ = 485

Number of ways to choose 6 juniors out of 11 juniors = ¹¹C₆ = 462

Number of ways to select/choose a math team of 14 students consists 8 seniors and 6 juniors

= 485 × 462 = 2,24,070

Hence, the number of ways to select/choose a math team of 14 students consists 8 seniors and 6 juniors is 2,24,070..

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Given the equation x² + y² + 4x - 8y + 11 = 0, the center of the circle is (-2, 4).

The standard form of the equation of circle is given by

(x - h)² + (y - k)² = r²

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x² + y² + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h² + k² - r².

If the equation of the circle in general form is x² + y² + 4x - 8y + 11 = 0, then the coefficients are:

D = 4

E = -8

F = 11

If D = -2h and D = 4, then

4 = -2h

h = -2

If E = -2k and E = -8, then

-8 = -2k

k = 4

Hence, the center of the circle is (h, k) = (-2, 4).

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Answer: it is not 27%

Step-by-step explanation:

Answer:

32.2222

Step-by-step explanation:

Answer: 32.22 degrees Celsius.

Answer: 696.511

Step-by-step explanation:

84,250 = b(1.008)120

84250 = 120.96b

b = 696.511

The polygon's WXYZ and ABCD are similar.

What is similar figures?

The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.

Consider, the polygons WXYZ and ABCD

The angles, "∠W and ∠A"  and "∠Y and ∠C" are congruent to each other.

Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.

Now consider, the sides

The sides "WZ and AD", "XY and BC"  and "WX and AB" , "ZY and DC" are having the equivalent ratio.

Therefore, the polygons WXYZ and ABCD are similar.

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After simplification, the second option |−4| < |−5| is true.

In the given question,

There are four options. We have to check which option is true.

The given options are

1) |−5| < 4

2) |−4| < |−5|

3) |−5| = −5

4) |−4| > |5|

To find the true option we solve the given option one by one.

The first option is

|−5| < 4

Now solving

As we know that every value from the mod always give positive value.

So if we solve |−5| then the value is 5 and 5 is greater than 4. But in the given statement states that 4 is greater that 5. So the first statement is wrong.

Now solving the second statement.

|−4| < |−5|

After solving |−4|, the value is 4 and |−5| is 5.

So the simplified statement is 4 < 5 which is true.

Hence, the second statement is true.

Now we get the true statement so we haven't solve any further option.

If you want the solve next option the the way of solving the option is same.

Hence, the second option |−4| < |−5| is true.

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The AGI and taxable income is $23,670 and $11,270

How to calculate AGI(Adjusted gross income) ?

The AGI calculation can be done as,

We have given that,

Gross income = $23670

1 Exemption = $12400

Adjustment = 0

Deduction = 0

Find AGI and Taxable income

AGI = Adjusted gross income

we know,

AGI = Total income - Any deduction or any adjustment  

AGI = ($23,670 + $12400)  - (0 + 0)

AGI = $36070

Now, Calculate taxable income

Taxable income = Gross income - 1 Exemption

                           = $23670 - $12400

                           = $11,270

Hence, the AGI and taxable income is $36,070 and $11,270

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Answer: D is the answer

Step-by-step explanation:

$23,670 and $11,270

Answer:

54°

Step-by-step explanation:

m and the 54° angle are VERTICAL ANGLES. That means they are the same measure.

Answer:

Step-by-step explanation:

54 degree

Answer:

-2.475

Step-by-step explanation:

The strategy which would eliminate a variable in the system of equations is to multiply the top equation by -5 , then add the equation and is denoted as option B.

This is a mathematical term which is made up of two expressions and is connected by an equal sign.

In the example given below:

x - 2y = 11

5x + 3y = -11

We can multiply the top by -5 which will result in:

-5x + 10y = -55 after which it is added to the other to give:

-5x + 5x + 10y + 3y  = -55 + (-11)

13y = -66

y = -66/13.

From this we can notice that the variable x was eliminated which is why option B is the correct choice.

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The coordinate of image of P is (-6,-4)

What in math is a coordinate?

a pair of numbers that utilize the horizontal and vertical breakups from the two reference axes to define a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

P (-2,2)
Translation (x,y)=(x-4,y-6)
x= -2
y= 2
x-4= -6
y-6= -4
Hence the coordinate of image of p is (-6,-4)

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The measures of the each angle of the triangle is 84, 28 and 68 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.  

The triangle has the sum of the measures of the angles as 180°.

Angle A is three times as large as angle B and also 16° larger than C.

Therefore,

let

angle A = x

Angle B = x / 3

Angle C = x - 16

Therefore,

x + x - 16 + x  /3  = 180

7 / 3 x - 16 = 180

7 / 3 x = 180 + 16

7 / 3 x = 196

cross multiply

7x = 196 × 3

7x = 588

divide both sides by 7

x = 588 / 7

x = 84

Therefore,

A = 84 degrees

B = 84 / 3 = 28 degrees

C = 84 - 16 = 68 degrees

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An inequality correctly compares One-half, Three-fourths, and Two-thirds is: One-half < Two-thirds < Three-fourths.

An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values (numbers) and variables in an algebraic equation, especially based on any of the following inequality symbols:

Translating the numbers in word to numerical values, we have:

One-half = 1/2 or 0.5

Three-fourths = 3/4 or 0.75

Two-thirds = 2/3 or 0.67

Next, we would compare the above numerical values by using the less than (<) inequality symbol as follows:

0.5 < 0.67 < 0.75

One-half < Two-thirds < Three-fourths.

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Answer: 45 minutes

Step-by-step explanation:

She rides 150/20 minutes per mile which is 7.5 minutes per mile. So it would take her 45 minutes to ride 6 miles because 6 × 7.5 = 45.

Answer:

B: The axis of symmetry is x + -4.

C: The domain is all real numbers.

F: The x-intercepts are at (-6, 0) and (-2, 0).

Step-by-step explanation:

worked on edge 2022

The answer is the First, Third, and Last

The value of angle ∠5 will be equal to 120°.

Straight lines with little depth or width are present. You will learn about a variety of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you might also encounter contrasting and related viewpoints.

Given that In the given figure, l ∥ m and n are transversal and the angles are ∠1=80° and ∠5=100°.

First, calculate angle 2,

∠1 = ∠2  = 80 ( By alternate interior angles)

Calculate the angle ∠4,

∠4 = 180 - 80 - 40

∠4 = 180 - 120

∠4 = 60°

Calculate the angle ∠5,

∠5 = 180 - 60

∠5 = 120

Therefore, the value of angle ∠5 will be equal to 120°.

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Answer:

LCM of 90 and 225 = 450

I'm not too sure I understand

2 x 3 x 3 x 5 = 90, and 3 x 3 x 5 x 5 = 225

90: 90, 180, 270, 360, 450

225: 225, 450

LCM = 450

The proportional relationship between the amount of peaches in pounds x and the cost of peaches in dollars y is given as follows:

y = 2.5x.

A direct proportional relationship is a special case of a linear function, with an intercept of zero, hence the output variable symbolized by y is given by the multiplication of the input variable symbolized by x and the constant of proportionality symbolized by k, as follows:

y = kx.

In this problem, we have to find the constant k taking a point of the graph.

The point taken is:

(2,5).

Meaning that when x = 2, y = 5.

Hence the constant is calculated as follows:

5 = 2k

k = 5/2

k = 2.5.

Then the equation is:

y = 2.5x.

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Answer:

6x+97

Step-by-step explanation:

Hint: 3 sides of a triangle adds up to 180*.

((i know ur gonna clown on me for not giving the answer(i know the answer :d)but trust me the if u get da hint, ull solve it fine)

the best question is that if they can examine a sample of tires used for 60,000 miles and determine the proportion that is worn out, then how likely is that proportion to be 3.6% or less?

we are given the information that an A tire manufacturer has a 60,000-mile warranty and the manufacturer considers the overall tire quality to be accepted if less than 5% are worn out at 60,000 miles, also the manufacturer tested 250 tires that have been used for 60,000 miles. they find that 3.6% of them are worn out. So here the Hypotheses can be that:

1) The proportion of tires that are worn out after 60,000 miles is equal to 0.05 and

2) The proportion of tires that are worn out after 60,000 miles is less than 0.05.

We need to deny the first hypothesis with an alternative one. You cannot demonstrate that the average is 3.6%, but if you by one means or another decide that the probability the average is greater than 3.6% is lower than 100% minus your confidence level, at that point you'll be able to deny the first hypothesis and acknowledge the second one as new average.

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The total amount of milk needed for the recipes, considering the line plot, is of:

5.25 cups.

The total amount of milk needed for the recipes is obtained adding all the measures of the line plots.

The measures of the line plot given by the image at the end of the answer are given as follows:

The total amount is given by the sum of all these measures, hence:

2 x 0.25 + 1.25 + 1.5 + 2 = 5.25 cups.

The line plot is given by the image at the end of the answer.

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0.0515  is probability of exactly six successes .

What is probability in math?

Binomial probability with

Number of trials (n) = 8

probability of success ( ρ ) = 0.95

              ρ = 0.95

     p + q = 1

        q = 1 - p

            = 1 - 0.95

        q = 0.05

 x ~  bin( n , ρ )

       ρ( X = x ) = ⁿCₓ Pˣ . qⁿ⁻ˣ

the probability of exactly six success .

    ρ ( X = 6 ) = ⁸C₆ ( 0.95)⁶ ( 0.05 )⁸ ⁻⁶

                     = 28 ( 0.7351 ) ( 0.05)²

                       = 28 ( 0.7351 ) ( 0.0025 )

                        = 0.051457

        ρ( X = 6 ) = 0.0515

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