2)
a
b
A) complementary
B) vertical
C) alternate exterior
D) alternate interior

Answer:

x = -63

Step-by-step explanation:

\(x + 38 = - 25\)

\(x = - 25 - 38\)

\(x = - 63\)

\(x + 38 = - 25 \\ \\ x = - 25 - 38 \\ \\ x = - 63\)

Answer:

c

Step-by-step explanation:

just count

Answer:

C

Step-by-step explanation:

Answer:

thousands

Step-by-step explanation:

Answer:

The answer would be the Thousands place.

Step-by-step explanation:

The order goes like this.

ones

tens

hundreds

thousands

ten-thousands

one hundred-thousands

millions

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The three consecutive odd intergers are 3,5 and 7

What do you mean by algebraic expression ?

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here.

An algebraic expression can be a combination of variables and constants. Any multiplied value that is prefixed to a variable is a factor.

Let the three consecutive odd integers are x, x+2 and x+ 4

Here x is the smallest odd integer and x+4 is the largest odd integer

According to the question:

3(x +4) = 7x

3x + 12 = 7x

7x - 3x = 12

4x = 12

x = 12/4

x = 3  

Three consecutive odd integers become:

x = 3

x + 2 = 3 +2 = 5

x + 4 = 3 + 4 = 7

Hence, the three consecutive odd intergers are 3,5 and 7

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Answer:

7% production decreases of 6800 means you lost 476 chair a month and you would only produce 6324 chair per montg

Answer: 180 degrees

Step-by-step explanation:

The corresponding sides of two triangles are proportionate if they are identical then the length of side ZX exists 10.5 units.

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

If two triangles are similar, then their corresponding sides are proportional.

Since \($\triangle A B C \sim \triangle X Y Z$\), therefore

AB/X Y = BC/YZ = CA/ZX

substitute the values in the above equation, we get

2/7 = 4/14 = 3/N

2/7 = 2/7 = 3/N

2/7 = 3/N

On cross multiplication, we get

2 × N = 3 × 7

2N = 21

Divide both sides by 2

N = 21/2

N = 10.5

Therefore, the length of side ZX exists 10.5 units.

The complete question is:

In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.

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Step-by-step explanation:

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Answer:

The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

(0.4828 , 0.7704)

Step-by-step explanation:

Step(i):-

Given that the fisherman responds that, of the 75 fish he has caught, 47 have been Black carp

Sample proportion = \(\frac{x}{n} = \frac{47}{75} = 0.6266\)

We have to find the 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

Step(ii):-

solution:-

Given that the level of significance = 0.01

Z-score = 2.576

The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

\((p^{-} - Z_{0.01} \sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.01} \sqrt{\frac{p(1-p)}{n} })\)

\((0.6266 - 2.576 \sqrt{\frac{0.6266(1-0.6266)}{75} } ,0.6266 +2.576 \sqrt{\frac{0.6266(1-0.6266)}{75} })\)

After calculation, we get

(0.6266 - 0.1438 , 0.6266 +0.1438)

(0.4828 , 0.7704)

Final answer:-

The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

(0.4828 , 0.7704)

Using the z-distribution, it is found that the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario is 0.4829.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, for the parameters, we have that:

The lower bound of the interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6267 - 2.575\sqrt{\frac{0.6267(0.3733)}{75}} = 0.4829\)

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The correct statement regarding whether (8, √17) lies on the circle is given as follows:

Yes, the distance from the origin to the point (8,√17) is 9 units.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.

The parameters for this circle are given as follows:

Hence the equation is given as follows:

x² + y² = 81.

For point (8, √17), we have that:

8² + (√17)² = 81

64 + 17 = 81

81 = 81.

Hence the point lies on the circle.

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Answer:12 gallons

Step-by-step explanation: It is enough to fill 40

The number of gallons in 40 quarts will be 10 gallons. Then the one that contains 12 gallons of oil.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A motor oil retailer needs to fill 40 one-quart bottles.

We know that in 1 gallon, there are 4 quarts. Then the number of gallons in 40 quarts will be given as,

⇒ 40 / 4

⇒ 10 gallons

The number of gallons in 40 quarts will be 10 gallons. Then the one that contains 12 gallons of oil.

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16 is the number which is one-fifth of a number when one-fourth of that same number is 20.

As per the given data:

One-fourth of the number is resulted to 20.

Here we have to determine the result of one-fifth of the same number from the given options.

An expression for a portion of a whole is a fraction.

For any real numbers, the fractional component of x is defined.

Let the number be X.

One-fourth of a number is 20 which means:

Multiply the one-fourth fraction with an unknown number which results in the number 20.

\($\frac{1}{4}\)  (X) = 20

X = 20 × 4

X = 80

Now we have to determine that one-fifth of the same number.

Multiply the one-fifth fraction by 80.

We get:

= \($\frac{1}{5}\) (80)

= \($\frac{1}{5}\)   × 5 × 16

= 16

One-fifth of the number 80 is 16

Therefore Option (D) - 16 is the correct answer.

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Answer:

r = -4

Step-by-step explanation:

-2 - 5r = 18

+2         +2

––––––––

-5r = 20

/5     /5

––––––

-r = 4

/-1  /-1

–––––

r = -4

The diagram has a scale of 1cm to 4km as the problem said, then we can write

If we want to find the scale factor, we must put 4km in cm, it will be 400000 cm, therefore

Now we have them in the same units, we can "cut" the units on both sides, and we have

We can also write it as a fraction:

The correct option is (b) -30±15.3. To calculate the confidence interval, we can use the formula: (μ₂₉ − μ₂₁) ± t* (SE).

t is the t-value with 8 degrees of freedom and a 99% confidence level, and SE is the standard error of the difference between the means:

SE = √[(s₁²/n₁) + (s₂²/n₂)]

Plugging in the given values, we get:

SE = √[(8²/9) + (13²/9)] = 6.02

The t-value for 8 degrees of freedom and a 99% confidence level is 3.355.

So, the confidence interval is:

(78-48) ± 3.355*6.02 = 30 ± 15.3

Therefore, the 99% confidence interval for μ₂₉ − μ₂₁ is -30±15.3.

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A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

Answer:

441

Step-by-step explanation:

Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441

Answer:

441 feet

Step-by-step explanation:

4 times s is how you find the perimeter of a square so we can put this in an equation

4s=84

/4. /4

s=21

Now to find area we multiply side by side or side squared

21x21

441

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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The value of the stock would be worth $339.09 after 5 years.

An equation is an expression that can be used to show the relationship between variables and numbers.

An exponential function is given as:

y = abˣ

Where a is the initial value and b is the multiplication factor

Let y represent the value of the stock after x years.

You invest $400 in the stock of a pharmaceutical company. If the value of the stock decreases by 3.25% each year

Hence:

a = 400; b = 1 - 0.0325 = 0.9675

y = 400(0.9675)ˣ

After 5 years (x = 5):

y = 400(0.9675)⁵ = $339.09

The stock would be $339.09

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The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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The surface area of sphere is ,

Here, R is the radius of sphere.

The radius of sphere is given , 7 in.

Substitute the value of radius in surface area of sphere,

Thus, the surface area of sphere is,

Ans5 and 2

Step-by-step explanation:

Answer:

The missing number is 5

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

A. \(h(x)=\sqrt{x-3}\)

Step-by-step explanation:

The parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).

If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).

Here the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

\(h(x)=\sqrt{x-3}\)

Answer:

it's 68...............

Answer:

68

Step-by-step explanation:

so 25% of x=17

17*4=68

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Answer:

54x^2 + 10x

Step-by-step explanation:

Step-by-step explanation:

The base must be a regular polygon.

maybe just tryin

Answer:

B and D are correct

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

plug in 5 to h(x)

h(5) = -5 - 3 = -8

plug that into f(x)

f(-8) = -5(-8) - 1 = 40 - 1 = 39