Find the decimal equivalent to :
\(1. \: \: \frac{2}{4} = n\)


\(2. \: \: \frac{4}{9} = n\)


​

Answer:

25

Step-by-step explanation:

If you count the squares, the answer is 25

Answer:

Explained below

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and is is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data to is positively skewed.

Answer:

3/4 1/2    =3/5

Step-by-step explanation:

Her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

The expression for the final amount for simple interest is

A = p(1+rt)

Given data

Principal = $10,000

Rate= 5 %= 0.05

Time = 6years (Assume)

A = p(1+rt)

A = 10,000(1+0.05×6)

A = 10,000(1+0.30)

A = 10,000(1.30)

A = 13,000

So the final amount for simple interest is $13,000

To determine her monthly payment

Given that it is spread over 6 years

There are 12×6 months= 72months

So monthly pay = 10000/72 = $180.56

The total of all her monthly payments would be $13,000 which is equal to the final amount.

The finance charge is equal to the interest.

⇒ $13,000 - $10,000 = $3000

So the finance charge would be $3000.

Therefore, her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

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Answer:

Step-by-step explanation:

V=xyz

V=w(w)(3w/4)

V=(3w^3)/4 and V=384

(3w^3)/4=384

3w^3=1536

w^3=512

w=8in

Answer:

OD 60 in by 45 in

Step-by-step explanation:

The equation of the line of best fit is y = 1.19x - 0.37.

What is linear regression ?

Linear regression is a statistical method that is used to establish the relationship between two variables, usually represented as a straight line. It is used to determine the extent to which one variable is dependent on the other variable, and to make predictions based on this relationship.

Using linear regression, we want to find the equation of the line of best fit in the form y = mx + b, where m is the slope and b is the y-intercept.

First, we need to calculate some sums:

∑x = 28

∑y = 45

∑xy = 224

∑x² = 140

∑y²= 275

Using these sums, we can calculate the slope m:

m = (n∑xy - ∑x∑y) / (n∑x² - (∑x)²)

m = (7(224) - (28)(45)) / (7(140) - (28)^2)

m = 1.19

Now we can use the slope to calculate the y-intercept b:

b = (∑y - m∑x) / n

b = (45 - (1.19)(28)) / 7

b = -0.37

Therefore, the equation of the line of best fit is y = 1.19x - 0.37.

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Answer:

83.25

Step-by-step explanation:

add all the numbers and divide by 8. 666/8 = 83.25

Answer:

83.25

Step-by-step explanation:

Mean = sum of all terms / number of terms

82+100+92+66+72+96+70+88 = 666

666 / 8 = 83.25

In the figure, AB is a diameter, and AB⊥CD, If m AC = 54°, BD is 36°. Option A

In a circle, a diameter divides it into two equal parts and forms a straight line that measures 180°.

Given that AB is a diameter = 180°.

AB is perpendicular to CD, therefore m∠AC + m∠BD = 90°.

Substituting m∠AC =54°, we get m∠BD + 54°  = 90°.

Solving for m∠BD, we get 90° - 54° = 36°.

There BD is 36°.

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There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

The second one. It is only .36 per ounce

Step-by-step explanation:

2.22 divided 6 = 37

5.04 divided 14 = 36

7.80 divided 20 = 39

Answer:

The student's GPA is 2.8666.

Step-by-step explanation:

A grade is 4.0, B grade is 3.0, C grade is 2.0. For each credit, add the value of the letter grade. So:

Math, 2 credits, grade A: (4x2=8)

English, 5 credits, grade B: (5x3=15)

Physics, 4 credits, grade B: (4x3=12)

German, 4 credits, grade C: (4x2=8)

The numbers add up to 43, then divide by the number of credits (15) to get:

43/15=GPA of 2.8666.

Answer:

The length of the hypotenuse of each right triangle is approximately 12.7 inches, rounded to the nearest tenth.

Step-by-step explanation:

Let's start by finding the length of one side of the square posterboard.

Since the perimeter is 36 inches, and a square has four equal sides, we can divide the perimeter by 4 to get the length of one side:

36 ÷ 4 = 9

So each side of the square posterboard is 9 inches long.

When Miranda cuts the posterboard along a diagonal, she forms two right triangles. Let's call the length of the hypotenuse of each right triangle "c".

We can use the Pythagorean theorem to find the length of "c":

a² + b² = c²

Since the posterboard is a square, each of the legs of the right triangle has a length of 9 inches.

9² + 9² = c²

81 + 81 = c²

162 = c²

c ≈ 12.7

So, the length of the hypotenuse of each right triangle is approximately 12.7 inches, rounded to the nearest tenth.

Garage B is more cost-effective for any parking duration exceeding 2 hours.

When comparing Garage A and Garage B based on their pricing structure, it's important to consider both the flat fee and the hourly rate to determine which option is more cost-effective.

Garage A charges a flat fee of $5, regardless of the duration of parking, and an additional $2 for every hour parked. This pricing structure benefits those who need to park for shorter durations, as the flat fee is relatively low.

However, for longer parking durations, the hourly charge can accumulate significantly, making it less favorable for extended stays.

On the other hand, Garage B follows a different approach by charging a rate of $4.50 per hour with no flat fee. This pricing structure is more suitable for those who require shorter parking times, as they only pay for the exact duration of their stay. In such cases, Garage B would likely be more cost-effective compared to Garage A.

However, for longer stays, Garage A might offer better value. For example, if someone needs to park for 6 hours, Garage A would charge $17 ($5 flat fee + 6 hours * $2/hour) while Garage B would charge $27 ($4.50/hour * 6 hours). In this scenario, Garage A would be the more affordable option.

Ultimately, the choice between Garage A and Garage B depends on the individual's specific parking needs. If the stay is anticipated to be short, Garage B's hourly rate is preferable.

However, for longer durations, Garage A's combination of a flat fee and hourly rate may result in lower overall costs. It's essential to consider the anticipated length of stay to make an informed decision.

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Answer:

No, the equations are not balanced.

Step-by-step explanation:

Let's solve 50² - 40 × 6 + 19 - 2.

The equation is now 2500 - 40 × 6 + 19 - 2.

    2. 40 × 6 = 240.

The equation is now 2500 - 240 + 19 - 2.

    3. 240  + 19 = 259.

The equation is now 2500 - 259 - 2.

    4. 2500 - 259 = 2241.

The equation is now 2241 - 2.

    5. 2241 - 2 = 2.

50² - 40 × 6 + 19 - 2 = 2241.

Now, lets solve 2279 - 2.

2241 ≠ 2277. In addition, 2241 is not equal to 2277, meaning that the equations are not balanced.

Answer:

a = 40°

Step-by-step explanation:

An isosceles triangle has two sides that are the same size. The angles opposite from those sides are equal (they are called base angles.) And, the three angles in a triangle add up to 180°

So,

100 + a + a = 180

combine like terms

100 + 2a = 180

subtract 100

2a = 80

divide by 2

a = 40

Answer:

Quadrant I

Step-by-step explanation:

We are told that sin is positive (greater than 0) and tan is positive (greater than 0).

We know that sin is positive in quadrants I and II.

We also know that tan is positive in quadrants I and III.

Since both conditions share Quadrant I, the answer is Quadrant I.

(A) There's a 90% chance the population value is between 7.2 and 8.9 oz.

You should know that In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used

The confidence interval is the probability that the population value would fall within a range of values for a number of times. The confidence interval are calculated by adding and subtracting the margin of error to/from the mean.

A 90% confidence interval of (7.2, 8.9) means that their is a 90% confidence or chance that the population value is between 7.2 and 8.9 oz

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The figure that shows a reflection of pre-image ABC over the y-axis is Figure D, which has negative x-coordinates for each point.

A figure's reflection over the y-axis is obtained by flipping the figure across the y-axis. This means that each point's x-coordinates are negated while its y-coordinates remain unchanged.

We can see from the figures in the image that the pre-image ABC has positive x-coordinates, and a reflection over the y-axis results in a new image with negative x-coordinates.

As a result, Figure D, which has negative x-coordinates for each point, depicts a reflection of pre-image ABC over the y-axis.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4\)

The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.

This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.

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Answer:

\(\large \boxed{\sf \ \ \sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=5x^3\sqrt{6} \ \ }\)

Step-by-step explanation:

Hello,

First, of all, as x is positive we know that:

\((\sqrt{x})^2=|x|=x\)

Let's simplify the expression:

\(\sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=\sqrt{3}\cdot x^2\cdot \sqrt{5}\cdot x\cdot \sqrt{2\cdot 5}=x^3\cdot \sqrt{3\cdot 5\cdot 5 \cdot 2}\\ \\=5x^3\sqrt{6}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

D) Just over 10% of students have a bird.?

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Solution:

Step-1: Find the area of the rectangle.

L = 5/8 foot; B = 4/9 foot

Step-2: Verify all the options.

Looking at all the options, we can see that Option C (1/4 ft²) is the best estimate of the area we obtained as 10/36 and 9/36 are really close fractions.

Thus, Option C is correct.

Answer:

it has a constant rate of change

Step-by-step explanation:

i took the test and got it right

Answer:

Step-by-step explanation:

Given that:

Sample Mean \(\overline x\) = 82.25

The Standard deviation of the population \(\sigma\) = 30.00

The Sample size = 100,000

The margin of error M.O.E = 0.186

At a 95% confidence interval level;

\(=\overline x - M.O.E < \mu < \overline x + M.O.E\)

= 82.25 - 0.186 < \(\mu\) < 82.25 +  0.186

= 82.064 < \(\mu\) < 82.436

= (82.064 , 82.436)

The 95% confidence interval of the population mean = (82.064 , 82.436)

Before we can determine the sampling error, we need to find the standard error of the mean.

The standard error of the mean is:

\(\mu_ {\bar x} = \mu = 82.25\)

\(\sigma_{\bar x} = \dfrac{\sigma}{\sqrt{n}}\)

\(\sigma_{\bar x} = \dfrac{30}{\sqrt{100000}}\)

\(\sigma_{\bar x} = \dfrac{30}{316.23}\)

\(\sigma_{\bar x} = 0.096\)

At 95% confidence interval, the level of significance = 1 - 0.95 = 0.05

\(Z_{0.05/2} = Z_{0.025}\) = 1.96

Now, the sampling error can be determined by using the formula:

\(=Z_{\alpha/2} \times \sigma _{\overline x}\)

\(=Z_{0.025} \times \sigma _{\overline x}\)

= 1.96 × 0.096

= 0.18816

we know that,

Understand the concept of factoring. The purpose of simplifying the square root is to rewrite it in a more understandable form that can be used in math problems. Factorization involves dividing a large number into two or more smaller factors. B. Convert 9 to 3 x 3. Once you find these factors, you can rewrite the square roots in a simpler form, and possibly even convert them to regular integers. For example, √9 = √(3x3) = 3. Follow the steps below to learn this process for more complex square roots.

According to the question,

Given data

√20=√2×2×√ 5=2√4.4721

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The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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