find the slope intercept form 5x-3y=27

Using the empirical rule, we can determine that approximately 15.87% of IQ scores are at least 77.

According to the empirical rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To find the percentage of IQ scores that are at least 77, we need to calculate the z-score for 77 using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (77 - 101) / 12 = -24 / 12 = -2

Since 77 is 2 standard deviations below the mean, we know that approximately 95% - 2% = 15.87% of the IQ scores will be at least 77. Therefore, approximately 15.87% of IQ scores are at least 77, based on the empirical rule.

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Answer:

3/4 or 0.75

Step-by-step explanation:

When dividing- quotient- fractions, remember keep, change, flip

Keep- keep the first fraction

Change- change the division sign into a multiplication sign

Flip- flip the second fraction

So your problem really is:

\(\frac{1}{6} *\frac{9}{2}\)

Which is: 9/12 or 3/4

Answer:

-5.2

Step-by-step explanation:

15.6/-3= - 15.6/3= -5.2

Answer:

x=17

Step-by-step explanation:

x+4+3x=72

4x+4-4=72-4

4x/4=68/4

x=17

Associative property of addition

Answer: x  =  17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The truck now weighs 2130 kilograms. Hope this helps.

Step-by-step explanation:

Answer:

50.26 in

Step-by-step explanation:

First you need the circumference of half of a circle.

Circumference = diameter x pi. The radius is 9, so the diameter is 18. 18 * 3.14 = 56.52. But you need half of that, so 56.52 / 2 = 28.26

Then add the other 3 sides

28.26 + 5 + 12 + 5 = 50.26

Answer:

D. x + 24 ≥ 49

Step-by-step explanation:

He has already sold 24 rolls, and will sell more x.

So, the total number of rolls that he will sell is:

\(T = 24 + x\)

Jaxon must sell at least 49 rolls of wrapping paper to support the robotics club fundraiser.

This means that:

\(T \geq 49\)

\(24 + x \geq 49\)

The correct answer is given by option D.

On solving the provided question we can say that by equation 180 water must be added to make a solution that is 5% sugar

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

1200=300+5x

900 = 5x

x=180

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The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

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The coordinates of K' after the reflection over the line y = -7 are given as follows:

K'(-4, -8).

The original coordinates of K are given as follows:

K(-4, -6).

The reflection line for this problem is given as follows:

y = -7.

The line of reflection is an horizontal line, meaning that:

y = -6 is one unit above the reflection line y = -7, hence one unit below is given as follows:

y = -7 - 1

y = -8.

Hence the coordinates of K' after the reflection over the line y = -7 are given as follows:

K'(-4, -8).

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Answer: second sign

Step-by-step explanation:

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Hey!

Therefore, he sold 28 cups of lemonade

Bao sold 28 cups and spend $2.5 on 50 cups.

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.

Given that, Bao is selling lemonade at $0.35 per cup.

We need to determine, number of cups he sold if he earned $9.80,

And,

Bao bought 50 paper cups for $0.50 each, how much he spent on them,

1) Let he sold x cups,

So,

0.35x = 9.8

x = 28

Therefore, he sold 28 cups.

2) Since, one cup is for $0.05 therefore,

50 cups = 50 x 0.05
= $2.5

Therefore, cost of 50 cups is $2.54

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Answer:

4/15.

Step-by-step explanation:

1/3(1/5) + 1/5

1/15 + 1/5

1/15 + 3/15

4/15

Answer:

4/15

Step-by-step explanation:

\(( \frac{1}{3} \times \frac{1}{5} ) + \frac{1}{5} \\ \frac{1}{15} + \frac{1}{5} \\ \frac{1}{5} + \frac{3}{13} \\ \frac{1 + 3}{15} = \frac{4}{15} \)

Answer:

$336

Step-by-step explanation:

The slope is (277-100)/(3-0) = 59.

So, since the cost is $100 when t=0, C=59t+100.

After 4 months, the cost is 59(4)+100 = $336.

Answer:

the rate change is 3 minutes

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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The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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so,  -11-\(\sqrt{2}\)i and 3 + 4i are roots of polynomial function f(x) so 11 + \(\sqrt{2}\)i and

3 - 4i are roots of f(x)  

Therefore, option D is correct

Polynomial function:

A polynomial function, in general, is also stated as a polynomial or polynomial expression, defined by its degree. The degree of any polynomial is the highest power present in it.

given that

Patricia is studying a polynomial function f(x). three given roots of f(x) are

-11-\(\sqrt{2}\)i , 3 + 4i and 10 . Patricia concludes that f(x) must be a polynomial with degree 4.

so -11-\(\sqrt{2}\)i and 3 + 4i are roots of polynomial function f(x) so 11 + \(\sqrt{2}\)i and

3 - 4i are roots of f(x)  

Therefore, option D is correct

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Answer:

m=-1

Step-by-step explanation:

20m+5-2m=-13

18m=-18

m=-1

Answer:

\( \sf \: m=−1\)

Step-by-step explanation:

5(4m+1)-2m=-13

Step 1: Simplify both sides of the equation.

5(4m+1)−2m=−13

(5)(4m)+(5)(1)+−2m=−13(Distribute)

20m+5+−2m=−13

(20m+−2m)+(5)=−13(Combine Like Terms)

18m+5=−13

18m+5=−13

Step 2: Subtract 5 from both sides.

18m+5−5=−13−5

18m=−18

Step 3: Divide both sides by 18.

18m/18 = −18/18

m=−1

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

\(f(t)=a\times(1/2)^{\frac{t}{h}}\)

We're given:

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

84 million years

The complex fraction 1/3/3/b simplifies to b/3.

To simplify the complex fraction 1/3/3/b, we can follow these steps:

Step 1: Start by simplifying the denominator. The denominator here is 3/b.

Step 2: To simplify the denominator, we need to multiply the denominator by its reciprocal. The reciprocal of 3/b is b/3.

Step 3: Now, we can rewrite the complex fraction as 1/3 * b/3.

Step 4: Simplify the numerator and denominator separately. 1/3 cannot be simplified further, but b/3 can be simplified to b.

Step 5: The simplified complex fraction is 1/3 * b = b/3.

Thus, the complex fractions can be multiplied by denominator and simplified by numerator.

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Answer:

below

Step-by-step explanation:

Standard form

ax + gy = c       re-arrange to slope -int form   subtract ax from both sides of the equation

gy = - ax + c       divide thru by 'g'

y = -a/g x + c/g      - a/g would be the slope , m   and c/g would be the y-axis

  intercept , b    for   slope intercept form    y - mx +b  

The carpenter will not be able to complete his work because the ladder reach 14.1 ft up the wall.

In this question, we have been given a carpenter has a 15 foot ladder. For safety, the bottom of his ladder must be placed 5 feet from the wall.

Consider the following diagram.

In right triangle ABC, AC represents the length of the ladder, CB is the distance between wall and the bottom of the ladder.

Using Pythagoras theorem,

AC² = AB² + BC²

15² = 5² + AB²

225 - 25 = AB²

AB = √200

AB = 14.1 ft                  ............(1)

We have been given that in order to complete his work, the ladder must reach 14.5 feet up the wall.

From (1), we can see that the ladder will reach 14.1 ft up the wall.

This means, under these conditions, the carpenter will not be able to complete his work.

Therefore, the carpenter will not be able to complete his work because the ladder reach 14.1 ft up the wall.

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Answer:

5

Step-by-step explanation:

When performing a statistical test, such as the Chi-Square test, the p-value is a crucial component in determining the significance of the data compared to the null hypothesis. The p-value represents the probability of observing the given data, or more extreme results, assuming the null hypothesis is true. In general, a p-value threshold of 0.05 is used to determine statistical significance.

If the calculated p-value is less than or equal to 0.05, it indicates that the observed data significantly differ from what is expected under the null hypothesis. This means that there is a less than 5% chance of obtaining the observed data if the null hypothesis were true. Consequently, researchers often reject the null hypothesis in favor of the alternative hypothesis when the p-value is less than or equal to 0.05.

However, it is essential to note that the choice of the significance level is subjective and may vary depending on the field or specific study. In some cases, a more stringent threshold, such as 0.01, might be required to minimize the chances of false positives, while in other situations, a more lenient threshold, such as 0.10, may be acceptable.

In summary, a p-value of 0.05 or less typically indicates that the data differ significantly from what is expected under the null hypothesis in a statistical test like the Chi-Square test. However, the chosen threshold for significance may vary depending on the specific context and research objectives.

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Step-by-step explanation:

what do you mean bro???????

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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