WILL MAKE BRAINLIEST!! Angles a and b are vertical angles. If m

This question is about ratios. Initially, 8 people have enough water for 9 days. When 4 more people join, the water supply will now last for 6 days.

This question involves a concept of Mathematics, specifically in the area of ratios or proportions. The initial premise is that 8 people on a trek have enough water to last them for 9 days. We can express this ratio as 8:9, which means for every 8 persons, the group can sustain its water supply for 9 days.

Now, we must calculate what would happen if 4 more people join the trek. Since now there are 12 people (8 original + 4 new), the new ratio becomes 12:9. However, the amount of water remains fixed. We can find the number of days the water will now last by dividing the quantity of water by the increased number of people, i.e., 9 days * (8 people/12 people) = 6 days.

So, when 4 more people join the group, the water supply will last the whole group for 6 days.

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a)The probability that you score less than a 15 on your opponent's turn is 49%.  b)the probability that you score at least a 15 on your turn is 51%.  c) the probability that you score at least a 15 when you get to roll a third die is 65.7%.  

(a) The probability of scoring less than a 15 on your opponent's turn can be calculated by finding the probability that both dice roll numbers less than 15. Since each die has 20 sides, and the numbers are equally likely to occur, the probability of rolling a number less than 15 on a single die is 14/20 or 0.7. To find the probability of both dice rolling numbers less than 15, we multiply the individual probabilities: 0.7 * 0.7 = 0.49 or 49%.

(b) The probability of scoring at least a 15 on your turn can be calculated by finding the probability that at least one of the dice rolls a number 15 or greater. The probability of rolling a number 15 or greater on a single die is 6/20 or 0.3. Since we want to calculate the probability of at least one die rolling such a number, we can find the complementary probability of neither die rolling a number 15 or greater, which is (1 - 0.3) * (1 - 0.3) = 0.7 * 0.7 = 0.49 or 49%. Therefore, the probability of scoring at least a 15 on your turn is 1 - 0.49 = 0.51 or 51%.

(c) When a third die is introduced, the probability of scoring at least a 15 on your turn changes. Now, we need to calculate the probability that at least one of the three dice rolls a number 15 or greater. The probability of rolling a number 15 or greater on a single die is still 6/20 or 0.3. Using the complementary probability approach, the probability of none of the dice rolling a number 15 or greater is (1 - 0.3) * (1 - 0.3) * (1 - 0.3) = 0.7 * 0.7 * 0.7 = 0.343 or 34.3%. Therefore, the probability of scoring at least a 15 on your turn with the introduction of the third die is 1 - 0.343 = 0.657 or 65.7%.

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Answer:

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

Step-by-step explanation:

Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.

To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.

Answer:

Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.

Answer:

Step-by-step explanation:

Given two points on the line:

The y- intercept is 4 and the slope is:

The line is:

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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Answer:

25

Step-by-step explanation:

25

Answer: how many more means subtract so subtract and it will be 25 LLaps

Although part of your question is missing, you might be referring to this full question: What are the vertex and range of y = |2x + 6| + 2?

(0, 2); 2 < y < ∞

(0, 2); −∞ ≤ y < ∞

(−3, 2); 2 < y < ∞

(−3, 2); −∞ ≤ y < ∞

The vertex of the function is (–3, 2) and the range of the function is 2 < y < ∞.

The given modulus function:

y = |2x + 6| + 2

Now, we get two equations out of the absolute value function:

y = 2x + 6 + 2

y = 2x + 8

and

y = –2x – 6 + 2

y = –2x – 4

The vertex of the function will be at a point where these two equations are equal. So, we can calculate the vertex as follows:

2x + 8 = –2x – 4

2x + 2x = –4 – 8

4x = –12

x = –3

If x = –3, then y = 2(–3) + 8 = –6 + 8 = 2

Thus, the vertex of the function is (–3, 2).

Now, the values that y can take will range from 2 to infinity as y cannot take values below the vertex.

Thus, the range of the function is 2 < y < ∞.

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Answer: 6 miles is 9.656064km

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer: 10

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so the sum of the lengths of each pair of adjacent sides must be 5. Thus, the perimeter is 5(2)=10.

Answer:

210.6cm^2

Step-by-step explanation:

1) In the diagram below the shape of the rectangular prism is shown:

where L=7.2, W= 9 and H=4.5

In order to cover only the sides, the area of the front and back faces and the side faces should be added, the top and bottom faces should not be

so the area of front and back faces= 2 (length *width) (multiply by 2 to account for both the front and back face, instead of just one face)

=2(7.2)(9)= 129.6 cm^2

area of side faces: 2(W)(H)=2*9*4.5=81cm^2

129.6cm^2+81cm^2=210.6 cm^2

Answer:

Step-by-step explanation:

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90

The six frequent factors between 72 and 90 are 1, 2, 3, 6, 9, and 18.

Consequently, 18 is the number that links 72 and 90 most frequently.

Answer:

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Given the quadratic equation:

Solve it in the following steps:

So the solution is: {- 3/2; 1/3}

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

The required number of ways is 38,760.

To solve the problem we have to follow the given steps:

Step 1: Choose one person to be the chair of the subcommittee. This can be done in 20 ways.

Step 2: Choose the remaining four members of the subcommittee from the remaining 19 people. This can be done in 19C4 ways.

Step 3: Multiply the number of ways in step 1 and step 2 to get the total number of ways to choose a subcommittee of five people with one person designated as the chair of the subcommittee.

So, the total number of ways to choose a subcommittee of five people with one person designated as the chair of the subcommittee is:

20 × 19C4 = 20 × (19!/4!15!) = 38,760 ways.

Hence, the required number of ways is 38,760.

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Answer:

Step-by-step explanation:

No of gift she bought - 8

The total amount she had - $30

The amount left over - $16.75

The amount of one gift - x

\(8x + 16.75 = 30 \\ 30 - 8x = 16.75 \\ \)

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

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if you want a third point, just ask!

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Hope this helps.

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<3

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.

The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.

In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.

Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.

Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:

10 adenine (A) nucleotides (abbreviated as 10a)

15 thymine (T) nucleotides (abbreviated as 15t)

3 guanine (G) nucleotides (abbreviated as 3g)

7 cytosine (C) nucleotides (abbreviated as 7c)

Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.

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Answer:

y = 4

Step-by-step explanation:

21 = 3(y + 3), Distribute

21 = 3y + 9, Subtract 9 on both sides

12 = 3y, Divide 3 on both sides

4 = y

Step-by-step explanation:

24-(14)

10

use bidmas...

Using statistical concepts, it is found that as the degrees of freedom increase, the t distribution approaches the z-distribution.

For large sample sizes, that is, a large number of degrees of freedom in the t-distribution, the t distribution approaches the z-distribution.

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Answer:

2142 inches^2

Step-by-step explanation:

parallelogram's area: base * height

so, 34*63 = 2142

Answer:

Answer=56 minutes

Step-by-step explanation:

I am not sure i have the same problem but since the first class starts at 8:26 am and the fourth class ends at 11:26 am if there are no breaks in between it would be 60 minutes like this:8:26-9:26-10:26-11:26 but it has 4 minutes between so 60-4=56 minutes

Step-by-step explanation:

Answer:

  3/10 lb

Step-by-step explanation:

The amount needed for a fraction of a pie is that fraction times the amount needed for the whole pie:

  (4/5) × (3/8 lb) = (4·3)/(5·8) lb = (3/5)(4/8) lb = 3/(5·2) lb

  = 3/10 lb

Mr. Anderson would need 3/10 pounds of apples for 4/5 of an apple pie.

Answer:

-0.53

Step-by-step explanation:

5/4 *x -1/9 = 6x

-1/9 = (6-5/4) x

x = -4.75/9

x=-0.53

Answer:

c. w = -1

Step-by-step explanation:

you have to add 2 with -3 and you get -1.

Answer: C.) w = -1

Step-by-step explanation:

Add 2 to both sides of the equation.

w - 2 + 2 = -3 + 2

Combine like terms.

w = -1