The drawing below represents a 22-foot ladder with its base placed 10 feet from the bottom of a vertical wall.

which value is the best estimate for x?


a.24.3

b.63.0

c.27.0

d.65.6

Answer:

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Answer: 24

Step-by-step explanation:

6x4=24

Answer:

m = 3

n = 14

p = 2

Step-by-step explanation:

7/x-3/2=(n-mx)/px

(7*2-3*x/2)/2x=(n-mx)/px

=>(14-3x)/2x = (n-mx)/px

now we will  compare

LHS and RHS with terms containing X and terms not containing x

so

14 = n

-3x = -mx

m = 3

2x = px

p = 2

Thus,

values for m, n, and p

are 3,14 and 2 respectively.

If a block metal has a volume of 75000 cm3 and a mass of 375000g then its density is  5000 kg / m3.

Density is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume. An object made from a comparatively dense material will have less volume than an object of equal mass made from some less dense substance.

      Density = mass / volume

where, m is the mass of the object. It is measured in kilogram. V is the object's total volume. It is measured in cubic meters.

In the SI unit base density is expressed in kilograms per cubic meter. A common device for measuring fluid density is a pycnometer. A device for measuring absolute density of a solid is a gas pycnometer.

volume of the metal = 75000cm3 = 0.075m3

mass of the metal = 375000g = 375 kg

Density = 375 kg / 0.075 m3

             = 5000 kg / m3

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It will take approximately 15.61 years for $1,886 to grow to $8,156 with a 7.02 percent annual interest rate, compounded annually.

To determine the number of years it will take for $1,886 to grow to $8,156 with a 7.02 percent annual interest rate, we can use the compound interest formula:

A = P * (1 + r)^n,

where A is the future value, P is the principal amount, r is the interest rate per period, and n is the number of periods.

In this case, the principal amount is $1,886, the future value is $8,156, and the interest rate is 7.02 percent. We need to solve for n.

Dividing both sides of the equation by P:

(1 + r)^n = A / P,

Substituting the given values:

(1 + 0.0702)^n = 8,156 / 1,886.

Using logarithms to solve for n:

n = log(8,156 / 1,886) / log(1 + 0.0702).

Using a calculator, the approximate value of n is:

n ≈ 15.61.

Therefore, it will take approximately 15.61 years for $1,886 to grow to $8,156 with a 7.02 percent annual interest rate, compounded annually.

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Answer:

79, hope this helped! plz make me brainliest

Step-by-step explanation:

Answer:

m<1 = 48 m<2=12.6 m<3= 48

Step-by-step explanation:

96 ÷ 2 =48

38÷3= 12.6

48

Answer:

there is no slope its undefined

Step-by-step explanation:

Answer:

0.2222222...

Step-by-step explanation:

Long division or just googl

Answer:

.2 with a bar on top of the 2

Step-by-step explanation:

Whenever we have a number over 9 (Ex. 1/9, 2/9, 4/9), we can write it as a . and then that number, with a bar on top (Which basically tells you that it is repeating).

Answer:

Step-by-step explanation:

You want the dimensions of a rectangle if adding 2 m to its width makes it a square with an area of 36 m².

The area of a square is the square of its side length, so the side length of the square is ...

  A = s²

  s = √A = √(36 m²) = 6 m

The problem statement tells you this dimension is 2 m more than the width of the rectangle. Hence that width is ...

  6 m - 2m = 4 m

The rectangle is 4 m wide and 6 m long.

Check

The length is 2 m less than twice the width: (2)(4 m) -2 m = 6 m, the value we show above.

<95141404393>

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

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Answer:

Step-by-step explanation:

The first step is to figure out what the % is on the right.

The total is 100%

The left side is 60%

The right side is 100% - 60% = 40%

Now the 40% represents 28 students

The total number of students is 100%

40%/100% = 28/x            Cross multiply

40% x = 28 * 100%          Divide both sides by 40%

x = 28 * 100 / 40

x = 70

So the total number of students is 70

60% of them are on the left. 60/100 * 70 = 42

There are 42 students on the left.

Answer:

Step-by-step explanation:

No

Answer:

C) Cannot tell what the correct decision should be

Step-by-step explanation:

It is important to have additional information to make a definitive decision. Specifically, we need to know the sample size (n) and the standard deviation (σ) of the population or the sample. Without this information, we cannot accurately determine whether the null hypothesis should be rejected or not.

Answer:

b=-3

Step-by-step explanation:

-11b+7=40

-7         -7

-11b=40-7

-11b=33

-11b/-11=33/-11

b=-3

CHECK:

-11b+7 = 40

Substitute -3 for b:

-11(-3)+7=40

Solve:

33+7=40

40=40

Therefore b does in fact equal -3.

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Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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Answer: C, 3 to 2

Step-by-step explanation:

The highest common multiple of the 2 numbers is 9, 27 divided by 9 is 3, 18 divided by 9 is 2.

Answer:

6 + 4 + 2 + 3 + (6-2) + (4+3) = 10 + 5 + 4 + 7

= 15 + 11 = 26

Answer: If this isnt wrong then I probably forgot how to do this... You plug in 10 with \(\pi\)10^2. so then you'll get 100 time pi and youll get 314.159265.

Answer: C

Step-by-step explanation:

Answer:

112 degrees

Step-by-step explanation:

In this case, the two angles are considered alternating exterior angles, which signifies that they are equal

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Therefore, if the null hypothesis is rejected, the evidence supports the alternative hypothesis. This means that the test results provide enough evidence to conclude that the alternative hypothesis is more likely true than the null hypothesis.

In hypothesis testing, if the null hypothesis is rejected, it means that there is sufficient evidence to support the alternative hypothesis. A null hypothesis is a statement that there is no significant difference or relationship between variables, while the alternative hypothesis states that there is a significant difference or relationship. To determine if the null hypothesis is true or not, we conduct a statistical test and calculate the p-value. If the p-value is less than the level of significance, usually set at 0.05, we reject the null hypothesis and accept the alternative hypothesis. Therefore, the correct answer is that the evidence supports the alternative hypothesis. This means that we have found significant results that support our research hypothesis.
Keep in mind that rejecting the null hypothesis does not prove the alternative hypothesis, but it does suggest that it's more plausible based on the data collected.

Therefore, if the null hypothesis is rejected, the evidence supports the alternative hypothesis. This means that the test results provide enough evidence to conclude that the alternative hypothesis is more likely true than the null hypothesis.

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Answer:

72π

Step-by-step explanation:

The volume of the composite figure can be calculated by finding the sum of the volumes of the half-sphere and the cylinder. Hence, the exact volume of the composite figure is 108π cubic centimeters.

Volume is a three-dimensional measurement of the amount of space a thing takes up. It is usually measured in cubic meters, cubic centimeters, or cubic feet. It is computed by multiplying the length, breadth, and height of the shape, or by using particular formulae for other forms such as cylinders, cones, or spheres. The volume of a thing indicates how much space it takes up.

The volume of the composite figure can be calculated by finding the sum of the volumes of the half-sphere and the cylinder.

The formula for the volume of a cylinder is

V = π\(r^2h\),

where r is the radius and h is the height.

Substituting the values given in the problem, we get:

Volume of cylinder = π\((3)^2(10)\)

                  = 90π cubic centimeters.

The formula for the volume of a half-sphere is

V = (2/3)π\(r^3\)

Substituting the value of r given in the problem, we get:

Volume of half-sphere = (2/3)π\((3)^3\)

                        = 18π cubic centimeters.

Therefore, the total volume of the composite figure is:

Volume of composite figure = Volume of cylinder + Volume of half-sphere

= 90π + 18π

= 108π cubic centimeters.

Hence, the exact volume of the composite figure is 108π cubic centimeters.

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By using  the sum or difference formula of cosine to solve cos(525°) we get cos(525°) = -0.465

The formula to find the value of cos(A ± B) is given as,

cos(A + B) = cosA cosB − sinA sinBcos(A − B) = cosA cosB + sinA sinB

Here, A = 450° and B = 75°

We can write 525° as the sum of 450° and 75°.

Therefore,cos(525°) = cos(450° + 75°)

Now, we can apply the formula for cos(A + B) and solve it.

cos(A + B) = cosA cosB − sinA sinBcos(450° + 75°) = cos450° cos75° − sin450° sin75°= 0.707 × 0.259 − 0.707 × 0.966= -0.465

Substituting the values in the above equation, we get

cos(525°) = 0.707 × 0.259 − 0.707 × 0.966= -0.465

Thus, cos(525°) = -0.465.

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The family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

To compare the box of cereal price we need to know the price per ounce first. It can be written as

Price per ounce = price /  total ounces

From the text above, we know that :

large size price = $3.34

large size ounces = 15

family size price = $5.14

family size ounces = 24

By substituting the parameter we can get the price per ounce of large size and family size

Large size

Price per ounce = price /  total ounces

Price per ounce = 3.34 / 15

Price per ounce = $0.22 / ounce

Family size

Price per ounce = price /  total ounces

Price per ounce = 5.14 / 24

Price per ounce = $0.21 / ounce

Hence, the family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

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Proportion of scrapped cans is calculated by finding the area under the normal curve outside the range of 365 cc to 375 cc. Specifications for 96% of cans is determined using z-scores and symmetric around the mean.

To calculate the proportion of scrapped cans, we need to find the area under the normal curve outside the range of 365 cc to 375 cc. This involves calculating the z-scores for both limits, finding the corresponding cumulative probabilities using a standard normal distribution table or calculator, and subtracting the two probabilities.

To determine the specifications that include 96% of all cans, we can use z-scores. We need to find the z-score that corresponds to the upper tail probability of 0.02 (since 1 - 0.96 = 0.04). Using the z-score, we can calculate the corresponding fill volume values by multiplying it with the standard deviation and adding or subtracting it from the mean.

To find the value at which the mean should be set so that 99% of all cans exceed that value, we can use the z-score corresponding to the upper tail probability of 0.01 (since 1 - 0.99 = 0.01). Using the z-score, we can calculate the desired fill volume value by multiplying it with the standard deviation and adding it to the current mean.

In conclusion, by applying the concepts of normal distribution, z-scores, and probabilities, we can determine the proportion of scrapped cans, specify ranges that include a certain percentage of cans, and set the mean value to achieve a desired proportion of cans exceeding a certain threshold.

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Answer:

49$ in commission

Step-by-step explanation:

700*.07 (7%) = 49$ which is the commission.

Answer:

49

Step-by-step explanation:

700÷100=7

7×7=49

she made 49 the store made 651

Slope of line=0

Slope of line=\(\frac{y2-y1}{x2-x1}\)

=\(\frac{-4+4}{11-7}\) =\(\frac{0}{4}\) =0

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute the slope.A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn in one of four directions: upward, downward, horizontal, or vertical.

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the speed and direction of the child relative to the surface of the water. 6.04. m/h

It implies that every object's motion is characterized in relation to Earth's motion. It implies that the motion of every item is explained in relation to every other object's motion. Motion is therefore independent of the frame of reference.

The child is walking East and the ship is moving north.

The relative motion of the child to the water is found using vector addition.

This means the speed of the child to the water is

N= √4^2 + √5^2

  =✓16+25

  =✓41

 =6.04 m/h

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