Find each value or measure

Answer:

C. 3 × 100 + 4 × 10 + 7 × 1 + 8 × (1/10) + 5 × (1/100)

Step-by-step explanation:

3: hundreds

4: tens

7: ones

8: tenths

5: hundreths

Answer:

B

Ab + bc =ac

3x-4 + 4x+2 =26

7x=28

x=4

Answer:

32ft

Step-by-step explanation:

Tan = opp/adj

Tan(65) = n / 15

Tan(65) x 15 = n

n = 32.16 = 32ft

Answer:

32 feet

Step-by-step explanation:

Hi there!

We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15

We need to find the height of the triangle.

Let's make the height of the triangle (the side we need to find) x

Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.

Recall that tangent is \(\frac{opposite}{adjacent}\)

in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15

that means that:

tan(65)=\(\frac{x}{15}\)

plug tan(65) into your calculator (make sure it's on degree mode!)

tan(65)≈2.14

2.14=\(\frac{x}{15}\)

multiply both sides by 15 to clear the fraction

32.1=x

The problem asks us to round to the nearest foot, so the height of the building is 32 feet

Hope this helps! :)

In this scenario, we are given three functions: f, g, and h, where the input and output for each function are natural numbers. Additionally, we are given the condition that f(n) < g(n) < h(n) for all natural numbers n.

The objective is to determine the relationship between the three functions based on this condition.Based on the given condition, we can conclude that the output of function g is greater than the output of function f for all natural numbers. Similarly, the output of function h is greater than the output of function g for all natural numbers. This implies that the functions f, g, and h are ordered in increasing order.

In other words, for any input value n, the value of f(n) is the smallest, followed by g(n), and then h(n) is the largest. This order is maintained consistently for all natural numbers. This information allows us to establish the relative magnitudes of the outputs of the three functions and the overall ordering of the functions themselves.

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Answer:

OK so I'm not that good at math but the answer should be.. $175?

Step-by-step explanation:

I  don't know if that's right answer or not so... :/

The probability that a randomly selected adult weighs between 120 and 165 lbs is approximately 0.8186.

Since the weights of adults are normally distributed with a mean of 140 lbs and a standard deviation of 25 lbs, we can use the standard normal distribution to calculate the probability.

We first need to standardize the values using the formula: z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation.

For x = 120 lbs, z = (120 - 140) / 25 = -0.8, and for x = 165 lbs, z = (165 - 140) / 25 = 1.0. We can then use a calculator to find the probability between -0.8 and 1.0, which is approximately 0.8186.

Thus, the chance of picking an adult at random who weighs between 120 and 165 lbs is roughly 0.8186.

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Answer:

2 1/14

Step-by-step explanation:

First, we will equalize the denominators of the fractions.

(1/7) × 2 = 2/14

Then we can solve this equation.

2 2/14 - 1/14 = 2 1/14

Step-by-step explanation:

2.1--3<7.

--0,9<7

true

5--3< 8

2<8

true

Answer:

$2.20

Step-by-step explanation:

40% converted to decimal is 0.4.

$5 × 0.4 = $2

10% converted to decimal is 0.1.

Because the tax is increasing the price by a percentage you add a 1 to the 0.1.

1.1 × $2 = $2.20

Answer:

$3.30

Step-by-step explanation:

40% of $5 = $2

Therefore, discounted price of candy is $5 - $2 = $3.

10% sales tax = 1.1 x $3 = $3.30

Answer: $3.30

Answer:

27

Step-by-step explanation:

367 divied by 17 = 27

For a unimodal distribution which is symmetrical with a mean price of $2.11 and standard deviation of $0.56, a local grocer’s price of $3.50 in standard units would be 2.282 and it is unusually expensive.

A unimodal distribution refers to a distribution with one clear peak as the values increase to a single highest point after which they. It can be symmetrical or non-symmetrical. A symmetrical distribution refers to a distribution whose mean, mode, and median are all equal.

The standard score (z) is given by:

z = (x - µ)/σ where µ is the mean and σ is the standard deviation.

To determine the value of z for $3.50 price:

z = (3.5 – 2.11)/0.56 = 2.482

From the z-table, the probability of z ≥ 2.282

P (z ≥ 2.282) = 1 – P (z < 2.282) = 1 – 0.98876 = 0.0112 or 1.12%

Hence, the price of $ 3.50 is unusually high.

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Answer:

Using the 30-60-90 triangle to find sine and cosine

sin(60 degrees) = 2√3 4.

sin(60 degrees) = √3 2.

sin(30 degrees) = 2 4.

sin(30 degrees) = 1 2.

cos(60 degrees) = 2 4.

cos(60 degrees) = 1 2.

cos(30 degrees) = 2√3 4.

cos(30 degrees) = √3 2.

Answer:

a)  8.4

b)  8.5

c)  The mean and median will be one less (7.4 and 7.5).

Step-by-step explanation:

Given number of boxes in each stack:

To find the mean of the number of boxes in a stack, divide the total number of boxes by the number of stacks:

\(\implies \sf Mean=\dfrac{5+7+9+ 11+13+ 10+9+ 8+ 7+5}{10}=\dfrac{84}{10}=8.4\)

The median is the middle value when all data values are placed in order of size.

To find the median of the number of boxes in a stack, first place the numbers in order of size:

As there is an even number of boxes (10), the median is the mean of the two middle values:

\(\implies \sf Median=\dfrac{8+9}{2}=\dfrac{17}{2}=8.5\)

If one box is removed from each stack, the total number of boxes is 10 less than before.  Therefore:

\(\implies \sf Mean=\dfrac{84-10}{10}=\dfrac{74}{10}=7.4\)

The number of boxes in each stack will be (in order of size):

Therefore, the median is 7.5.

So, if one box is removed from each stack:

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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The volume of the right rectangular prism= 1/3 cubic inches

In this question, we have been given a right rectangular prism is packed with cubes of side length 1/6 inch.

We need to find the volume of the rectangular prism if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height.

The length of the rectangular prism would be,

l = 12 × 1/6

l = 2 inches

The width of the rectangular prism would be,

w = 3 × 1/6

w = 1/2 inches

The height of the rectangular prism would be,

h = 2 × 1/6

h = 1/3 inches

so, the volume of the rectangular prism would be,

V = l × w × h

V = 2 × 1/2 × 1/3

V = 1/3 cubic inches

Therefore, the volume of the rectangular prism = 1/3 cubic inches

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Answer:

Option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

If we carefully analyze the options A, B, and C, all the options represent the function because all of them represent a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

Considering the given relation in option D

{(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)}

If we carefully analyze the option D, we can easily determine that the value of x = 19 is repeated twice.

In other words, the x-value x = 19 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the relation {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} DOES NOT represent the function.

Hence, option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.

Answer:

4 cm

Step-by-step explanation:

The area of parallelogram is equal to product of its base and height

It can be expressed as

and

Comparing them we get

Answer:

It is correct :)

Step-by-step explanation:

From the truth table, the values for p v (p→q) are all true. Therefore, this proposition is considered a tautology.

A statement or formula that is true under every scenario is referred to as a tautology. For example, the bag is red or it is not. Whatever the color of the bag, these two statements are true.

Construct a truth table for the given propositions. From the table, we can tell that the proposition p v (p→q) is in tautology. Because whatever the value of p and q, the result is true for this proposition.

Therefore, the correct option is option c.

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When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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Answer: -34

Step-by-step explanation:

66 minus 100 is negative 34.

The length of the base edge of the square pyramid is 6 feet.

The surface area of a square pyramid is 96 square feet. The height is two thirds of the length of the base edge.

The length of the base edge can be found as follows:

Hence,

surface area of square pyramid = a² + 2al

where

Therefore,

using Pythagoras's theorem, let find the slant height of the pyramid.

c² = a² + b²

where

Hence,

height = 2 / 3 a

Therefore,

l² = (2 / 3 a)² + (1 / 2a )²

l² = 4 / 9 a² + 1 / 4 a²

l² = 25 / 36 a²

square root both sides

l = 5 / 6 a

Hence,

surface area of square pyramid = a² + 2a(5 / 6 a)

surface area of square pyramid = a² + 10 / 6 a²

surface area of square pyramid = 16 / 6 a²

96 = 16 / 6 a²

96 = 8 / 3 a²

cross multiply

96 × 3 = 8a²

288 / 8 = a²

a² = 36

a = √36

a = 6 feet

Therefore, the base length is 6 feet.

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Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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We can solve this problem by using casework on the number of collinear points in each triangle.

If all three points are collinear, the triangle has zero area, so we want to count triangles with no more than two collinear points.

Case 1: Three points in a row (horizontal)

There are $4$ rows of points, and each row has $\binom{3}{1} = 3$ ways to choose a set of $3$ points. Therefore, there are $4 \cdot 3 = 12$ triangles with three points in a row.

Case 2: Three points in a column (vertical)

This case is the same as Case 1, so there are also $12$ triangles with three points in a column.

Case 3: Two points in a row, one point in a different row

There are $4$ rows of points, and each row has $\binom{3}{2} = 3$ ways to choose a set of $2$ points. For each choice of two points, there are two other rows that contain the third point of the triangle. Therefore, there are $4 \cdot 3 \cdot 2 = 24$ triangles in this case.

Case 4: Two points in a column, one point in a different column

This case is the same as Case 3, so there are also $24$ triangles with two points in a column.

Case 5: Two points in a diagonal, one point not on the diagonal

There are two diagonals that contain $4$ points each. Each diagonal has $\binom{4}{2} = 6$ ways to choose a set of $2$ points. For each choice of two points, there are $2$ other points that can be paired with it to form a triangle. Therefore, there are $2 \cdot 6 \cdot 2 = 24$ triangles in this case.

Case 6: All other triangles

All other triangles have one point in each of three different rows, or one point in each of three different columns. There are $\binom{4}{3} = 4$ ways to choose $3$ rows, and each row has $4$ points, so there are $4^3 = 64$ triangles with one point in each of three different rows. The same is true for triangles with one point in each of three different columns. Therefore, there are $2 \cdot 64 = 128$ triangles in this case.

Putting it all together, the total number of triangles with positive area is $12+12+24+24+128=\boxed{200}$.

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Answer:

50

Step-by-step explanation:

25*2= 50+25= 75

Answer:

25

Step-by-step explanation:

75-25=50/2=25

The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

The answer is 2.55

Step-by-step explanation:

As, the original price = $17

So, 85% of it have been reduced from it so

85% of 17

= 85/100 x 17 = 14.45

So it have reduced by $14.45

So, $17 - $14.45= $2.55

Answer:

10√2

Step-by-step explanation:

This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units

We can then use a^2+b^2=c^2 to solve for the last side

so we have

10^2+10^2=x^2

200=x^2

sqrt200=x

and I see that they want an exact answer so you simplify sqrt200 to

10√2