please solve the question.

The volume of the triangular prism as described is; 15 cubic foot.

A triangular pyramid simply refers to any geometric solid with a triangular base, and all three lateral faces are also triangles with a common vertex

It follows from the formula for calculating the volume of a triangular prism that;

Volume = (1/3) × base area × height.

Consequently,

volume of the prism is; = (1/3) ×9 × 5

Volume = 15 cubic foot

Therefore, volume of the triangular prism as described is; 15 cubic foot.

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80°,20° or 50°,50° are possible for the other two angles.

Given:

One angle of an isosceles triangle measures 80°.

we assumed that the 80° is one of the equal angles, then there is another 80° angle.That makes 160°.

Since a triangle always totals 180°,

180° - 160° = 20°.

if the 80° was the only different angle instead,the two remaining angles total:

180 - 80 = 100

Since we have two identical angles remaining, we need only divide the 100° in half to get the final answer:

100/2 = 50°.

Therefore 80°,20° or 50°,50° are possible for the other two angles.

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The null hypothesis is not rejected since the p-value is higher than or equal to the level of significance.

We assess the statistical conclusion based on the given data by comparing the p-value to the level of significance ().

Given: ZSTAT is 1.88 and p-value is 0.9699.

Level of significance () = 0.10

In a one-tail hypothesis test, the null hypothesis is only rejected in the lower tail if the p-value is less than the level of significance ().

The p-value is greater in this instance (0.9699) than the level of significance (0.1).

Therefore, the proper reaction is

C. The null hypothesis is not rejected since the p-value is higher than or equal to the level of significance.

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The length of the segment QS is 8 units and the length of the segment TV is 8 units and this can be determined by using similar triangle properties.

Given :

The following steps can be used in order to determine the length of QS and TV:

Step 1 - According to the given data, the triangle QRS is congruent to triangle TUV.

Step 2 - So, the length of the segment QS is equal to the length of the segment TV.

QS = TV

Step 3 - Substitute the values of QS and TV in the above expression.

3v + 2 = 7v - 6

7v - 3v = 6 + 2

4v = 8

v = 2

Step 4 - The length of the segment QS and TV is:

QS = 3(2) + 2 = 6 + 2

QS = 8

TV = 7(2) - 6 = 14 - 6

TV = 8

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Answer:

33

Step-by-step explanation:

First, simplify the parentheses:

(2)(18) + (3)(-1)

Then multiply any terms:

36 + (-3)

Solve:

33

Hope this helps!

Answer:

36+-3

Step-by-step explanation:

(2)(18)+(-2+5)(-1)

(36)+(3)(-1)

(36)+(-3)

(33)

Answer: 450 rest 100

Step-by-step explanation:

So, we need to calculate this division 100.000/222 and get the rest.

Well, 222 enters in 1000 by 4 times.

222 times 4 is 888

So, 100.000/222 = 4

       888-

We subtract 888 from 1000.

That will be 112

100.000/222 = 4

888

  112

Now, get the next 0 down next to 112

100.000/222 = 4

888

 1120

222 get in 1120 by 5 times.

5 times 222 = 1110

divide 1120 by 1110

100.000/222 = 45

888

 1120

 1110

That will be 10

100.000/222 = 45

888

 1120

 ==10

Get the next zero down

100.000/222 = 45

888

 1120

 ==100

222 gets in 100 by 0 times.

100.000/222 = 450

888

 1120

 ==100

         0

100 subtracted by 0 is 100

100.000/222 = 450

888

 1120

 ==100

         0

     100

The rest is 100 and the result is 450

Now, you can do the verification:

222 time 450 is 99,900.

If you add the rest to 99,900 it will be 100.000. So the result is good

Answer:

10.96

Step-by-step explanation:

Answer:At a​ little-known vacation​ spot, taxi fares are a bargain. A 12​-mile taxi ride takes  14 minutes and costs ​$.8.40 You want to find the cost of a ​- 38 mile taxi ride. What unit price do you​ need?

Step-by-step explanation:

0.70

Mile

The matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

What is a rational number?

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In other words, a rational number is a number that can be written as a fraction with a finite or repeating decimal expansion.

Matching the given rational numbers to their decimal expansions:

7/9 = 0.777777... (repeating decimal)

7/15 = 0.466666... (repeating decimal)

7/10 = 0.7 (terminating decimal)

7/8 = 0.875 (terminating decimal)

Therefore, the matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

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Answer:

2.625

Step-by-step explanation:

258=2.625

Solution by Separating the Parts

258=2+58

We know that

58

is the same as

5÷8

Therefore:

258=2+(5÷8)

Then using

Long Division for 5 divided by 8

we have

=2+0.625=2.625

Rounded to a Max of 3 Decimal Places.

Solution by Converting to Improper Fraction

258=2+58

=21+58

=(21×88)+58

=168+58=218

We know that

218

is the same as

21÷8

Answer:

Your answer is D 2 and 82/100

With a cost of $12.75 million, an American factory can produce 8.2 million pants. Therefore, every pair of American pants costs 12.75/8.2 = $1.55

Meanwhile, it cost $2.3 million to produce 4.3 million pants in a Chinese factory. Therefore, every pair of Chinese pants costs 2.3/4.3 = $0.53

Since 1.55/0.53 = 2.92, with the cost of one pair of American pants, almost 3 pairs of Chinese pants can be made.

Answer:

Find out the square root of 1764

1764=2×2×3×3×7×7. Therefore, √1764=42

Answer: n=8

Step-by-step explanation:

Answer:

n = 8

Step-by-step explanation:

8(n - 2) + 8n = 112 ← distribute parenthesis on left side and simplify

8n - 16 + 8n = 112

16n - 16 = 112 ( add 16 to both sides )

16n = 128 ( divide both sides by 16 )

n = 8

\(\text{Answer:}\\\\\text{y = -2x +4 where m=-2 is the slope and b = 4 is the y-intercept.}\\\\\text{Step-by-step explanation:}\\\)

Answer:

y = - 2x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 2 and b = 4 , then

y = - 2x + 4

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.

Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ... , Y_n\)

List them in title of the rows and left to the columns. There will be \(n \times k\) table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  \(X_i\)  and \(Y_j\)  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The missing frequency table is attached below. If we name events as:

Then, the needed probability is P(B|A) (as it is already specified that the person would be older than 35 years.)

Using the table, we get:

\(P(A) = \dfrac{\text{Total person who are older than 35 years age}}{\text{Total person in survey}}\\\\P(A) = \dfrac{162}{429} \approx 0.3776\)

Using the table, we get the value on the place where A and B both occur(when person selected is older than 35 years and have hemoglobin between 9 and 11 ) as:

\(n(A \cap B) = 162 - 40 - 76 = 46\)

Thus, we get:

\(\\\\P(A\cap B) = \dfrac{\text{Total person older than 35 years age and have hemoglobin level between 9 and 11}}{\text{Total person in survey}}\\\\P(A \cap B) = \dfrac{46}{429} \approx 0.1072\)

Using the chain rule, we get:

\(P(B|A)P(A) = P(A\cap B)\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.1072}{0.3776} \approx 0.284\)

Thus, the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.

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Step-by-step explanation:

2×-5=-8 and 2×-5/8=-1.25

Answer:

x = 10.5

Step-by-step explanation:

I'll assume this is the equation: (2x-5)/8 = 2

(2x-5)/8 = 2

(2x-5) = 16   [Multiply both sides by 8]

2x = 21        [Add 5 to both sides]

x = (21/2)    [Divide both sides by 2]

or x = 10.5

Answer:

yookiiii8bubub7bssh8ss

On solving the quadratic equation x² + 5x - 14 = 0 by using the quadratic formula , the solution is written as x = 2 , x = -7  .

The formula that is used to find the roots of the quadratic equation is called as quadratic formula and is written as ,

the general quadratic equation is ⇒  ax² + bx + c = 0, the the quadratic formula will be:

⇒ x = [-b ± √(b² - 4(a)(c))]/2a ;

the given equation is ⇒  x² + 5x - 14 = 0 ,

On comparing ,

we get that ; a = 1 , b = 5 and c = -14 ;

substituting  values in quadratic formula ,

we get ;

⇒ x = [-5 ± √(5² - 4(1)(-14))]/2(1) ;

solving further ,

we get ;

⇒ x = (-5 ± √(25+56))/2(1);

⇒ x = (-5 ± √81)/2;

⇒ x = (-5±9)/2 ;

On simplifying the equations separately ,

we have ;

⇒ 2x = -5 + 9    or    2x = -5 - 9   ;

⇒ we get , "x" as 2 or  "x" as -7  .   ;

Therefore , the roots of equations are "x ⇒ 2" or "x ⇒ -7"  .

The given question is incomplete , the complete question is

How do you solve  x² + 5x - 14 = 0  using the quadratic formula ?

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Answer:

y = 5x + 10

Step-by-step explanation:

using the formula y = mx + b you can easily find the answer.

where

m = the rate of change

b = constant

x = the independent variable

Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.

Since he will be adding $5.00 to the account every month we know that this is the rate of change.

the variable x will change depending on the number of months passed.

Therefore we can create the equation:

y = 5x + 10

Answer:

b

Step-by-step explanation:

i agree with the person above me

Step-by-step explanation:

Here,

y= 2x

and x € (1,2,3)

now,

when x=1 , when x=2 , when x= 3

y=2x y= 2x y=2x

= 2×1 = 2×2 = 2×3

= 2 = 4 = 6

Therefore, y = (2,3,6)

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The number is x, then:

The number is 3

Answer:

ITS CORRECT

Step-by-step explanation:

THE ANSWER IS 0.02 OR 1/50

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer: 14

Step-by-step explanation:



1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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Answer:

20%

Step-by-step explanation:

To find the percentage of change find the difference between the two numbers, divide by the original number, then multiply by 100.

Find difference

90-72=18

Divide difference by original

18/90=0.2

Multiply by 100

0.2*100=20

There will be 262080 strings of length 12  over the alphabet {a, b, c, d} start with aa or end with aa or both

To count the number of strings of length 12 over the alphabet {a, b, c, d} that start with "aa" or end with "aa" or both, we can use the principle of inclusion-exclusion.

Let A be the set of strings of length 12 that start with "aa", and let B be the set of strings of length 12 that end with "aa". We want to count the size of the union A ∪ B, which is the set of strings that satisfy at least one of the two conditions.

The size of A can be counted by fixing the first two positions to be "aa", and then the remaining 10 positions can be filled in with any of the four letters. Therefore, the size of A is 4^10.

Similarly, the size of B can be counted by fixing the last two positions to be "aa", and then the first 10 positions can be filled in with any of the four letters. Therefore, the size of B is also 4^10.

However, we have double-counted the strings that both start with "aa" and end with "aa". These strings have "aa" in the first two positions and "aa" in the last two positions, so they have the form "aa______aa", where the blank spaces can be filled in with any of the four letters. There are 4^8 such strings.

By the principle of inclusion-exclusion, the size of A ∪ B is given by:

|A ∪ B| = |A| + |B| - |A ∩ B|

= 4^10 + 4^10 - 4^8

= 2 * 4^10 - 4^8

= 262080

Therefore, over the letters a, b, c, and d, there are 262080 strings of length 12 that either begin with "aa" or finish with "aa," or both.

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Answer:

400sq.ft

Step-by-step explanation:

Let Area of smaller rectangle be x

➝2:3=x:600

➝2/3=x/600

➝2×600=3x

➝3x=1200

➝x=1200/3

➝x=400sq.ft

Answer:

11.52 feet

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.

We can rearrange the formula to solve for the radius:

r = (3V/4π)^(1/3)

Substituting the given volume V = 7,234.56 ft³, we get:

r = (3(7,234.56)/(4π))^(1/3) ≈ 11.52 ft

Therefore, the radius of the sphere is approximately 11.52 feet.

Answer:

A translation 8 units right and 2 units down