Number 9. of algebra

Answer: The leg-leg theorem, the hypotenuse-leg theorem, the hypotenuse-angle theorem, and the leg-angle theorem.

Step-by-step explanation: Search it up.

Kate can see across the horizon by 3.33 times further than Paul.

The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.

The volume of the cone \(\mathbf{ V=\pi r \dfrac{h }{3}}\)

For Kate:

\(\mathbf{ V=\pi r \dfrac{h }{3}}\)

\(\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}\)

V = 2.12526863 × 10¹⁵ m³

For Paul

\(\mathbf{ V=\pi r \dfrac{h }{3}}\)

\(\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}\)

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= Volume of Kate/Volume of Paul

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Answer:

a c and d

Step-by-step explanation:

With the help of two variable equations, the two numbers are 8 and 16.

There are three ways to solve equations-

1. Substitution method

2. Elimination method

3. Graphing method.

Now, let the number be x and y.

Therefore, the sum of two numbers is twenty-four,  x+y= 24

Now, given that,

3x-4=2y-12

3x-2y=-8

2y-3x=8

Now, substituting the value of y in the equation

2(24-x)-3x=8

40=5x

x=8

Therefore, the two numbers are 8 and 16.

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The length of major arc ACD in the circle with center D is given as (325/36)π feet

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of major arc ACD = [(360 - 35) / 360) * 2π(10/2) = (325/36)π feet

The length of major arc ACD in the circle with center D is given as (325/36)π feet

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We are asked to determine the probability that a randomly selected family has both mango and guava trees, as well as the probability that a randomly selected family has either mango or guava trees.

(a) To calculate the probability that the selected family has both mango and guava trees, we divide the number of families with both trees (15) by the total number of families (48). Therefore, the probability is 15/48, which can be simplified to 5/16.

(b) To calculate the probability that the selected family has either mango or guava trees, we add the number of families with mango trees (32), the number of families with guava trees (28), and subtract the number of families with both trees (15) to avoid double counting. The result is 45/48, which can be simplified to 15/16.

Therefore, the probability of a randomly selected family having both mango and guava trees is 5/16, and the probability of a randomly selected family having either mango or guava trees is 15/16.

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On solving the provided question, we can say that the probability of getting a test statistic that is at least as severe as the one you computed, supposing the null hypothesis is correct.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

the probability of getting a test statistic that is at least as severe as the one you computed, supposing the null hypothesis is correct.

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Answer:

The answer is 12,658,538

Step-by-step explanation:

53 times 6,987 = 370,311

370,311 times 34 = 12,590,574

12,590,574 plus 67964 = 12,658,538

Answer:

12,658,538

Step-by-step explanation:

I used a calculator

Answer:

I THINK ITS 20 BUT I AM NOT SURE

Answer:

29.7 inches

Step-by-step explanation:

if it's a square box we can assume that all sides are equal. so the width is also equal to 21 inches.

to find the diagonal we use the pythagorean theorem which states that a^2 +b^2 =c^2 where c is the diagonal and (a) and (b) are 21

so diagonal is the root of

21^2 + 21^2

answer is 29.7

Answer:

b=0.5

and the other part is:

B.) The graph shows exponential decay

D.) The graph shows y=2^x reflected over the y-axis

Step-by-step explanation:

i just did this problem on edge 2020

Answer: 0.5, B&D

Step-by-step explanation:

Answer:

go left 2 and up 6

Step-by-step explanation:

(x,y)

(x,y) --> (-2,6)

0 = x      0 = y

0 - 2 = -2 = x

0 + 6 = 6 = y

(-2,6)

When making the X negative, you want to go left on the grid. When making Y positive, you want to go up on the grid.

Answer: you would go to the left side horizontally (aka quadrant 3), then go down until 6 vertically

Step-by-step explanation: if you don't get it, here's a visual explanation

Answer:

the time is the independent quantities and the dependent one is the mass of the turkey

Step-by-step explanation:

the reason is that the mass is the one determining the time but the time per pound is not going to change their for you can say with confidence that this is the answer.  

  hope you can learn from this response

Answer:

Step-by-step explanation:

from cosines theorem:

t² = 11² + 14² - 2•11•14•cos87°

t² = 121 + 196 + 308•0.05236

t² = 333.12688

t = √333.12688

t = 18.2517... ≈ 18.3

The probability of getting at least 14 heads when flipping a fair coin 20 times is 0.25.

This can be calculated using the binomial distribution formula which states that the probability of obtaining exactly x successes in n trials is given by

P(x) = (n choose x) * p^x * (1-p)^(n-x),

where n is the total number of trials, p is the probability of success, and x is the number of successes.

For this problem, n=20, p=0.5, and x=14, so the probability of getting at least 14 heads is P(x) = (20 choose 14) * 0.5^14 * 0.5^6 = 0.25.

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The solution of the linear equations 2x + y = 8 and y = 3x - 2 will be (2, 4).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

2x + y = 8             ...1

y = 3x - 2             ...2

From equations 1 and 2, then the value of the variable 'x' is calculated as,

2x + 3x - 2 = 8

5x = 10

x = 2

Then the value of the variable 'y' will be calculated as,

y = 3(2) - 2

y = 6 - 2

y = 4

The solution of the linear equations 2x + y = 8 and y = 3x - 2 will be (2, 4).

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The probability of exactly 1 of the chosen magazines being an issue of Newsweek is approximately 0.2107 or 21.07%. The probability of choosing the December 1st issue of Time is approximately 0.0526 or 5.26%.

To solve this problem, we can use the concept of combinations and the total number of possible outcomes.

(1) Probability that exactly 1 is an issue of Newsweek:

Total number of ways to choose 4 magazines out of the given 8 Newsweek issues, 7 Popular Science issues, and 4 Time issues is C(19, 4) = 19! / (4! * (19-4)!) = 3876.

To choose exactly 1 Newsweek issue, we have 8 options. The remaining 3 magazines can be chosen from the remaining 18 magazines (excluding the one Newsweek issue chosen earlier) in C(18, 3) = 18! / (3! * (18-3)!) = 816 ways.

Therefore, the probability of choosing exactly 1 Newsweek issue is 816 / 3876 ≈ 0.2107 or 21.07%.

(2) Probability of choosing the December 1st issue of Time:

The probability of selecting the December 1st issue of Time is 1 out of the 4 Time issues.

Therefore, the probability of choosing the December 1st issue of Time is 1 / 19 ≈ 0.0526 or 5.26%.

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Answer:

5

Step-by-step explanation:

=14 + 6^2 ÷ (-4)

=14 + 36 ÷ (-4)

divide 36 by -4

=14 + (-9)

=14 - 9

=5

The maximum possible number of elements in set B is 62.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

The universal set is A consisting of the primary one hundred positive integers.

Now, Set B is a subset of A.

Set B might be made up of the first 62 positive numbers, for example.

Only then is 123 the largest number that can be formed by adding all the components of set B.

Set B contains 62 items altogether.

Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.

In the majority of these cases, set B may have 62 elements.

Therefore, we get the number of elements in set B will be 62.

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All the number can be counted as a rational number. So, 0.3, -2.5, 45% and -5 all are rational number.

A rational number is defined as a number which can be written in the fractional form. Let's say p and q are numerator and denominator then rational number is defined as p/q where, p and q are integers and q≠0. And rational numbers can be either positive or negative.

Given that, 0.3, -2.5, 45% and -5 and we have to conclude whether they are rational number or not or which one of them are rational number.

Let's check one by one systematically.

0.3 is a rational number because it can be further written in the form of 3/10 and it is a rational number according to the definition defined above.

Similarly, -2.5 is also a rational number because it can also be written in the form of p/q i.e., -25/10.

45% is also a rational number as it can be written as 45/100.

At last, -5, it is also a rational number because its denominator is 1 and it can be written in the form of p/q i.e., -5/1.

So, 0.3, -2.5, 45% and -5 all are rational number.

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Answer:

I would say A because 6:3 can only equal 1/3.

Step-by-step explanation:

It would help if you formatted a bit better though. As the choices are not clear. ^^

The probability of getting numbers whose sum is a multiple of three is,

⇒ 1 / 3

Since, The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, We have;

There are 48 possible outcomes in this situation, and of those outcomes, the ones whose sums are a multiple of three are;

12, 21, 15, 51, 24, 42, 33, 18, 27, 36, 63, 45, 54, 48, 57, and 66.

So, that is 16 out of 48 possibilities,

⇒ 16/48,

⇒ 1/3.

Thus, The probability of getting numbers whose sum is a multiple of three is,

⇒ 1 / 3

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Answer:

D. 3x-8=16

Step-by-step explanation:

Eight less (-8) than 3 times a number (3x) equals sixteen (16).

Answer: Yes

Step-by-step explanation: 6 times 972= 5832. 451 is less than 972.

Answer:

ans is 10

Step-by-step explanation:

by using pythagoras theorm

26^2=a^2+24^2

a^2=100

a=10

For the intake of 1600 calories per day the grams of protein recommended is equal to 320 grams of protein.

As given in the question,

Total amount of calories intake per day is equal to 1600 calories per day

Percentage of protein from the intake of calorie is given as 20%

Grams of protein recommended per day as per given percentage

= 20% of 1600

= ( 20 / 100 ) × 1600

= 20 × 16

= 320 grams of protein per day

Therefore, the grams of protein per day recommended from the intake of 1600 calories per day is equal to 320 grams of protein.

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Step-by-step explanation:

To solve the given equations, let's assign variables to each equation and solve them step by step.

Let's assume:

a = x

b = y

c = z

d = w

e = v

From the given equations:

a * b = 1 -> x * y = 1 (Equation 1)

b * c = 4 -> y * z = 4 (Equation 2)

c * d = 9 -> z * w = 9 (Equation 3)

d * e = 16 -> w * v = 16 (Equation 4)

e * a = 25 -> v * x = 25 (Equation 5)

Now, let's solve the equations using substitution:

From Equation 1 (x * y = 1), we can rewrite it as y = 1/x.

Substituting y in Equation 2, we get (1/x) * z = 4, which gives us z = 4x.

Substituting z in Equation 3, we have (4x) * w = 9, which gives us w = 9/(4x).

Substituting w in Equation 4, we get (9/(4x)) * v = 16, which simplifies to v = (16 * 4x)/9.

Finally, substituting v in Equation 5, we have [(16 * 4x)/9] * x = 25.

Simplifying the equation, we get:

(64x^2)/9 = 25.

To solve for x, we can cross multiply and solve the quadratic equation:

64x^2 = 225.

Dividing both sides by 64, we get:

x^2 = 225/64.

Taking the square root of both sides, we have:

x = ±(√(225/64)).

So, x = ±(15/8).

Now, substituting the values of x in the respective equations, we can find the values of y, z, w, and v.

For x = 15/8:

y = 1/(15/8) = 8/15

z = 4 * (15/8) = 30/4 = 15/2

w = 9/(4 * (15/8)) = 9/(30/8) = 9 * (8/30) = 12/5

v = (16 * 4 * (15/8))/9 = (60/2)/9 = 60/18 = 10/3

For x = -15/8:

y = 1/(-15/8) = -8/15

z = 4 * (-15/8) = -30/4 = -15/2

w = 9/(4 * (-15/8)) = 9/(-30/8) = -9 * (8/30) = -12/5

v = (16 * 4 * (-15/8))/9 = (-60/2)/9 = -60/18 = -10/3

Therefore, the possible solutions for the variables are:

x = 15/8, y = 8/15, z = 15/2, w = 12/5, v = 10/3

or

x = -15/8, y = -8/15, z = -15/2, w = -12/5, v = -10/3.

Note: The solution includes both positive and negative values for the variables.

Answer:

0.5miles

Step-by-step explanation:

800meters is 0.497097miles

Round 0.497097miles to the nearest hundredth which would be 0.5 miles.

Answer:

I have no idea

Step-by-step explanation: