what is 0.4/100 a fraction in it's simplest form and a decimal?​

Answer:

sqrt65+17

Step-by-step explanation:

a^2+b^2=c^2

a^2+4^2=9^2

a=sqrt65

perimeter = sqrt65+97

Hope this helps plz hit the crown :D

Answer:

y x =3 h c %

Step-by-step explanation:

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

Because you can't divide by zero.

Step-by-step explanation:

If x = -2, it makes the denominator 0. This will result in the equation being undefined because you can't have zero in the denominator.

The solution to the inequality will be greater than or equal to negative 5 but at x = -2, the function is not defined.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3 / (x + 2) + 4 ≥ 3

Simplify the inequality, then we have

3 / (x + 2) + 4 ≥ 3

[3 + 4(x + 2)] ≥ 3(x + 2)

3 + 4x + 8 ≥ 3x + 6

4x - 3x ≥ 6 - 8 - 3

x ≥ -5

The solution to the inequality will be greater than or equal to negative 5 but at x = -2, the function is not defined.

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The monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

To calculate the monthly loan payment, we need to use the loan amount, down payment, interest rate, and term.

Loan amount: $60,000

Down payment: $4,000

Principal amount: Loan amount - Down payment = $60,000 - $4,000 = $56,000

Interest rate: 13% per annum (or 0.13 as a decimal)

Monthly interest rate: 13% / 12 = 0.0133 (approx.)

Term: 60 months (5 years)

Now, let's calculate the monthly loan payment using the formula for a fixed-rate loan:

Monthly payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

P = Principal amount

r = Monthly interest rate

n = Total number of payments

Substituting the values into the formula:

Monthly payment = $56,000 * (0.0133 * (1 + 0.0133)^60) / ((1 + 0.0133)^60 - 1)

Using a calculator, the approximate monthly loan payment comes out to be $1,289.49.

Therefore, the monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

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Question:

A research center poll showed that 78% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief?

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is . (Type an integer or a decimal.)

Answer:

\(q = 0.22\)

Step-by-step explanation:

Given

Let p represent the given proportion

p = 78%

Required

Determine the probability that someone holds a contrary belief

Start by converting the given proportion to decimal

\(p = 78\%\)

\(p = \frac{78}{100}\)

\(p = 0.78\)

In probability, the sum of opposite probability is equal to 1

Represent the probability that someone holds a contrary belief with q

So;

\(p + q = 1\)

Make q the subject of formula

\(q = 1 - p\)

Substitute 0.78 for p

\(q = 1 - 0.78\)

\(q = 0.22\)

Hence, the probability that someone does not believe is 0.22

Answer:

Quadrant 2

Step-by-step explanation:

Hope this helps :D Have a great day

Step-by-step explanation:

the average is the sum of all data points divided by the number of data points.

so, with 8 students the average is

(x1 + x2 + x3 + ... + x7 + x8)/8 = 60 in

that means the sum of the data points is

x1 + x2 + x3 + ... + x7 + x8 = 60×8 = 480 in

now, we take 2 students out leaving us with 6 data points, and the average there is

(x1 + x2 + x3 + x4 + x5 + x6)/6 = 62 in

that means the sum of the data points is

x1 + x2 + x3 + x4 + x5 + x6 = 62×6 = 372 in

so, in total, when the 2 students left, the class lost

480 - 372 = 108 inches

that means Merrilyn and Max are together 108 inches tall.

and their average height is therefore

(x1 + x2)/2 = 108/2 = 54 inches

Answer:

no comma

Step-by-step explanation:

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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As a result, there is a 0.887 or 88.7% chance that at least one of a random group of 12 persons will have the flu.

Typically, the probability is defined as the ratio of favorable events to all other outcomes in the sample space. Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

The complement rule can be used to calculate the likelihood that for at least one individual in a representative selection of 12 persons has the flu.

"No one is infected" is the opposite of the statement "at least one individual is infected." The following formulas provide the likelihood that no one has the flu:

P(no one is infected) = (0.8)¹²

This is due to the fact that we multiply the likelihood that each individual in the sample is not infected—which is 0.8 by the number of people in the sample.

The likelihood that for at least one individual is afflicted is equal to the likelihood that nobody is affected:

P(at least one person is infected) = 1 - P(no one is infected)

Substituting the value of P(no one is infected), we get:

P(at least one person is infected) = 1 - (0.8)¹²

Calculating the answer, we obtain:

P(at least one person is infected) = 0.887

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Answer:

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Step-by-step explanation:

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Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by \( \sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}} \).

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

\( a_{n} = a_{1} • r^{n-1} \)

Where \( a_{n} \) is the nth term, \( a_{1} \) is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, \( a_{1} \) will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

\( \sqrt[5]{\frac{a_{6}}{a_{1}}} \) =

\( \sqrt[5]{\frac{1}{32}} \) =

\( \frac{1}{2} \).

Therefore: \( r = \frac{1}{2} \).

Using all the information we have, we can find the explicit rule:

\( a_{n} = a_{1} • r^{n-1} \)

\( a_{n} = a_{1} • r^{n-1} \) →

\( \boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}\)

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

\( a_{1} = 32 • (\frac{1}{2})^{1-1} \)

\( a_{1} = 32 • (\frac{1}{2})^{0} \)

\( a_{1} = 32 • 1\)

\( a_{1} = 32 \)

\( a_{6} = 32 • (\frac{1}{2})^{6-1} \)

\( a_{6} = 32 • (\frac{1}{2})^{5} \)

\( a_{6} = 32 • \frac{1}{32} \)

\( a_{6} = 1 \)

The function has three distinct real zeros.

The correct answer is A.

To determine the statement about the zeros of the graphed function, let's analyze the given information.

We have the following points on the graph:

(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)

Additionally, the function intercepts the x-axis at 1, 4, and 6 units.

To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.

From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.

These three x-values correspond to three distinct real zeros of the function.

The correct statement about the zeros of the graphed function is:

The function has three distinct real zeros.

The correct answer is A.

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Answer:

B. 48

Step-by-step explanation:

just took the test <3

Answer:

mArc FH = 48

Step-by-step explanation:

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

1/12

Step-by-step explanation:

The probability that Helen will roll a 4 is 1/6 the probability that she will get tails is 1/2. Multiply those two events together to find the probability of P(A and B)

Answer:

Step-by-step explanation:

15

Answer:

ddfgvf

Step-by-step explanation:

vcfdh

Answer:

Payment history makes up 35% of your credit score.

Your utilization rate makes up 30% of your credit score.

hope its correct

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer:

(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).

The four steps for solving linear systems are;

A variety of ways for solving linear systems exist which include;

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Answer:

graphing

algebraic methods

using inverse matrices

transforming an augmented matrix to reduced row echelon form

Cramer’s rule

Step-by-step explanation:

Answer:

1,751 pieces of gum.

Step-by-step explanation:

To calculate the total number of pieces of gum, we need to consider the full boxes and the open box.

The number of pieces in each full box is 12 dozen, which is equivalent to 12 x 12 = 144 pieces per box.

Since there are 12 full boxes, the total number of pieces in those boxes is 12 x 144 = 1,728 pieces.

The open box has 23 pieces of gum.

To find the total number of pieces of gum, we add the pieces from the full boxes to the pieces in the open box:

Total = Pieces in full boxes + Pieces in open box

Total = 1,728 + 23

Total = 1,751

Therefore, there are a total of 1,751 pieces of gum.

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

It will take 1.47 hours for the horse and clown to collide

Step-by-step explanation:

They are driving toward each other, in opposite directions.

So to find their speed of approximation, we add their speeds.

19 mph + 15 mph = 34 mph.

This means that each hour, they are 34 miles closer.

How long it takes for them to find each other if they are 50 miles apart?

1 hour - 34 miles

x hours - 50 miles

\(34x = 50\)

\(x = \frac{50}{34}\)

\(x = 1.47\)

It will take 1.47 hours for the horse and clown to collide