the measure of the angles in a heptagon measure 95 107 132 138 145 and 158 what is the measure of the 7th angle

Answer:

156 for the first, 14 for the second

Step-by-step explanation:

x = -5 y=4

Plug in (first equation)

(4(4))^2 - (2(-5))^2

(16)^2 - (-10)^2

256-100

156

Second Equation

4y^2-2x^2

Plug in

4(4)^2 - 2(-5)^2

4(16) - 2(25)

64-50

14

Parenthesis make a huge difference

Hope this helps =D

Answer:

B?

Step-by-step explanation:

I am assuming the > is meant to be an = though

Answer:

The answer is = 3

Step-by-step explanation:

Answer: C

Step-by-step explanation: im sorry if its wrong creati deleted all my points and im at -92 points

Answer:

-(3/7)m<21

m>21*-(7/3)

m>-7*7

m>-49

Possible options:

uppercase letter: 26

lowercase letter: 26

number: 10

upper or lowercase letter: 50

Note: I'm interpreting the "no upper or lower case letters can be repeated in the sequence" to mean you could have Aa0b, where A is used as the uppercase and a is used as the lower case letter, but then you can't use A or a for the last character.

26 · 26 · 10 · 50 = 338,000 combinations

Now is using "A" and "a" isn't allowed, then you have:

Possible options:

uppercase letter: 26

lowercase letter: 25

number: 10

upper or lowercase letter: 48

26 · 25 · 10 · 48 = 312,000 combinations

The probability of selling exactly 4 houses in one day is 0.0548, or about 5.48%.

To find the probability of selling exactly 4 houses in one day, use the Poisson distribution formula:

P(X = x) = (λ^x)(e^-λ) / x!

Where:

λ = the average number of events (in this case, the average number of houses sold)

x = the number of events we want to find the probability of (in this case, 4 houses)

e = the base of the natural logarithm (approximately 2.71828)

So, plugging in the values: P(X = 4) = (1.6^4)(e^-1.6) / 4! = (6.5536)(0.2019) / 24 = 0.0548

Therefore, since the data is Poisson distributed, selling exactly 4 houses in one day has a probability of 0.0548, or about 5.48%.

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Answer:

3^2+4^2=7^2

√7^2

7

Answer:  c= 5

Given a=4 and b=3,

c = 5

Step-by-step explanation: Given a=4 and b=3,

c = 5

∠α = 53.13° = 53°7'48" = 0.9273 rad

∠β = 36.87° = 36°52'12" = 0.6435 rad

area = 6

perimeter = 12

h =  

12

5

= 2.4

Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.

Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.

No calculations are required for this type of error.

Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.

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Answer:

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2=274877906944

Step-by-step explanation:

Answer:

  1/8

Step-by-step explanation:

1 of the 8 branches of the tree is TTH in that order. If all branches are equally likely, the probability is 1/8, or 0.125, or 12.5%.

Answer:

x = 1

Step-by-step explanation:

\(\frac{2}{3}\) (9x - 6) = \(\frac{1}{4}\) (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Answer:

4

Step-by-step explanation:

2 + 2 = 4

you add two and two.

Answer:

2 + 2 => 4

high level answer in photo

Answer:

f(4) = 19

f(-4) = 19

Step-by-step explanation:

Since f(x) = x²+3, to find f(4), substitute x = 4 into the equation.

f(4) = 4²+3

= 19

To find f(-4), substitute x = -4 into the equation.

f(-4) = (-4)²+3

= 19

Answer:

5/48, 1/2 and 3/4

Step-by-step explanation:

You need to make a common denominator for all the numbers first.

1/2 is equal to 24/48

-multiply both sides by 24 because 48 divided by 2 is 24

3/4 equals 36/48

-multiply both sides by 12 because 48 divided by 4 equals 12

so you get:

24/48 (1/2)

36/48 (3/4)

and 5/48

now you order them:

5/48

24/48

36/48

and then you change them back to their original form:

5/48

1/2

3/4

Answer:

\(\frac{5}{48}, \frac{3}{4}, \frac{1}{2}\)

Step-by-step explanation:

Given

\(\frac{1}{2}, \frac{3}{4}, \frac{5}{48}\)

Required

Order from least to greatest

To ease the process, we first convert the fractions to decimal:

\(\frac{1}{2} = 0.5\)

\(\frac{3}{4} = 0.75\)

\(\frac{5}{48} = 0.104167\)

By comparison:

0.104167 is less than 0.5 and 0.5 is less than 0.75

So, we have:

\(0.104167 < 0.5\) and \(0.5 < 0.75\)

So, from the least to greatest:

0.104167, 0.5, 0.75

Convert  to fraction

\(\frac{5}{48}, \frac{3}{4}, \frac{1}{2}\)

The correct answer is d. 56.

When computing a correlation coefficient, the degrees of freedom (df) is calculated as (n-2), where n is the sample size. In this case, we are given that df = 55.

Substituting df = 55 into the formula, we get:

55 = n - 2

Adding 2 to both sides, we get:

n = 57

Therefore, the sample size must be 57 in order to have 55 degrees of freedom when computing a correlation coefficient.
Hi! When computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57 (Option c).

Here's the step-by-step explanation:
1. Recall that the formula to find degrees of freedom (df) in correlation is df = n - 2, where n is the sample size.
2. In this case, the degrees of freedom is given as 55.
3. To find the sample size (n), you'll need to rearrange the formula: n = df + 2.
4. Substitute the given degrees of freedom into the formula: n = 55 + 2.
5. Solve for n: n = 57.

Therefore, when computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57.

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Answer:

The answer is y = 5x - 2

Step-by-step explanation:

Distribute 5 through the parentheses:

y - 3 = 5x - 5

Move the constant to the right-hand side and change its sign:

y = 5x - 5 + 3

Calculate the sum:

y = 5x - 2

1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.

2. AABBCcDD:  This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is  = 1/128.

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

3. The probability of this happening is 1/32.

AaBbCcDd : The probability of this happening is  1/256.

4. aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is  1/128.

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is  1/32.

To solve this problem, we need to use the principles of probability and Punnett squares.

For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.

Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:

A  |  A  |  a  |  a  

---|-----|-----|----

B  |  B  |  b  |  b  

---|-----|-----|----

C  |  C  |  c  |  c  

---|-----|-----|----

D  |  D  |  d  |  d  

Each box in the Punnett square represents a possible combination of alleles from the two parents.

For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.

We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.

AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.

The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.

AABBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)

AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).

The probability of this happening is \((1/2)^8 = 1/256.\)

aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)

Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.

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Answer:78

Step-by-step explanation:

Answer:

6c² + 2c + 1

Step-by-step explanation:

Rearrange the experresion.

Combine like terms.

Use the commutative property to reorder the terms.

The terms syllabic, melismatic, and neumatic are all related to the number of notes in relation to each syllable of a text. Syllabic means that each syllable of the text is sung to one note.

This is the simplest type of setting for text to music. In contrast, melismatic means that each syllable of the text is sung to many notes, creating a more intricate and ornamental melody. Neumatic is somewhere in between syllabic and melismatic, where each syllable is sung to a few notes, but not as many as in a melismatic setting.

Syllabic, melismatic, and neumatic all describe the relationship between the number of notes and each syllable of a text.

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The value of x+y in the equation \(2^{x}*3^{y}/2^{4}*3^{2} =6\)  using the law of indices is 8

An index, or power, is the small floating number that appears after a number or letter. Indices show how many times a number or letter has been multiplied by itself.

To determine the value of x+y in the equation below, we use the law of indices.

Equation:

We rearrange the equation,

Then we apply the law of indices

Comparing both sides of equation 1 below

Equating the base

And,

Therefore, x+y = 5+3 = 8

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Ama's demand for shoes does not increase by a proportionate amount to her increase in income.

To calculate the income elasticity of Ama's demand for shoes, we need to know how much the quantity demanded of shoes changes in response to a change in income. In this case, we know that Ama's income has increased by (1060 - 940) = ¢120 per month, which is a percentage change of:

(120/940) x 100% = 12.77%

We also know that Ama has decided to purchase 12% more shoes per month in response to this increase in income.

So, the income elasticity of demand can be calculated as:

% Change in Quantity Demanded / % Change in Income

= (12% / 12.77%)

= 0.94

Since the income elasticity of demand is less than 1, we can say that Ama's demand for shoes is income inelastic. This means that the percentage change in the quantity demanded of shoes is less than the percentage change in income.

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The large-sample confidence interval for comparing two proportions can be used when certain conditions are met.

The large-sample confidence interval for comparing two proportions can be used when the following conditions are satisfied:

Under these conditions, the large-sample confidence interval can provide a reasonable estimate of the true difference between the two proportions. It is important to note that this method relies on asymptotic approximations and may not be accurate for small sample sizes or when the conditions are not met. In such cases, alternative methods like exact tests or simulation-based approaches may be more appropriate.

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Answer:

21 laps per hour

Step-by-step explanation:

2/3 = 20/30

20/30 × 2 = 40/60

1 and 2/3 = 1 hour 40 mins

60 + 40 = 100 mins

35 (laps) = 100 (mins)

÷10

3.5 = 10

×6

21 = 60

21 laps in 1 hour

so 21 laps per hour

Answer:

12

Step-by-step explanation:

7 (number of tickets) times 12 (cost of ticket) = 84     169 (total spent) - 84 (total ticket price) = 85   85 divided by 7 (price of popcorn) = 12.14 round down as they wouldn't have enough money to buy more than 12 popcorns.

a. The key features of the exponential function y = 1000(2)^(0.3x) is given as follows:

b. The relevant domain and range are given as follows:

The exponential function for this problem is modeled as follows:

y = 1000(2)^(0.3x).

The features are given as follows:

The domain of the function is the set that composes all input values of the function, and as the exponential function does not have any restrictions such as a fraction or an even root, it is composed by all real values.

However, the relevant domain is x ≥ 0, as the number of days does not assume negative values.

The range is the set containing all output values of the exponential function. As the initial value of the exponential function is of 1000 and the function is increasing, the range is y ≥ 1000.

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