Write the equation of a line that passes through (5,-3) and (7,-5)

Answer:

Option 1

Step-by-step explanation:

Attached Picture

Answer:

6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

First, take the prime factorization of all 3 numbers.

30: 15*2 ==> 5*3*2

60: 30*2 ==> 15*2*2 ==> 5*3*2*2

78: 39*2 ==> 13*3*2

Notice any common factors? That's the GCF.

GCF: 3*2=6

GCF: 6

The correct explanation is (4). The spinner is likely fair, since in the output the player wins once or twice in the majority of the simulations.

The spinner is considered fair if the probability of winning each spin is 0.1, which means that the player should win about 1 out of every 10 spins. The output of the simulation shows that in the majority of the simulations, the player won once or twice, which is consistent with the expected probability of winning.

The fact that Miles lost all 10 times when he spun the spinner is just a matter of chance. It is possible to lose 10 times in a row even if the spinner is fair. In fact, the probability of losing 10 times in a row is about 0.1%, which is not very likely, but it is still possible.

Therefore, there is no evidence to suggest that the spinner is unfair. It is more likely that Miles simply lost due to chance.

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Answer:

20 %

Step-by-step explanation:

15% of 20 is 3, and 3 is 20% of 15

The value of variable x is 16.5 using the cross-multiplication method.

The denominator of the first term is multiplied by the numerator of the second term when utilizing the cross-multiplication method.

In mathematics, more specifically in elementary arithmetic and elementary algebra, one could cross-multiply an equation between two fractions or rational expressions to make the equation easier or to determine the value of a variable.

So, the value of x will be:

Use the cross-multiplication method as follows:

2x-7/4 = x+3/3

3(2x-7) = 4(x+3)

6x - 21 = 4x + 12

2x = 12 + 21

2x = 33

x = 33/2

x = 16.5

Therefore, the value of variable x is 16.5 using the cross-multiplication method.

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Correct question:
Obtain the value of x.

The results indicate a statistically significant positive linear relationship between lean body mass and maximal oxygen uptake in college athletes.

The researchers hypothesized that there is a positive relationship between lean body mass and maximal oxygen uptake in college athletes.

To test this hypothesis, they collected data from 18 randomly selected college athletes and created a scatterplot of the measurements.

The scatterplot displayed a strong positive linear relationship between the two variables, indicating that their hypothesis may be correct.

To further investigate the relationship between the variables, the researchers performed a significance test.

Specifically, they tested the null hypothesis that the slope of the regression line is 0, meaning there is no relationship between the variables, versus the alternative hypothesis that the slope is greater than 0, indicating a positive relationship.

The test yielded a p-value of 0.04, which is below the commonly used significance level of 0.05.

This means that there is strong evidence against the null hypothesis and we can reject it.

Therefore, we can conclude that there is a statistically significant positive linear relationship between lean body mass and maximal oxygen uptake in college athletes.

In practical terms, this suggests that increasing lean body mass through exercise or other means may lead to an improvement in maximal oxygen uptake, which is an important measure of physical fitness and endurance.

Further research can explore the specific mechanisms that underlie this relationship and the potential benefits of interventions aimed at increasing lean body mass for athletic performance and overall health.

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The area of the smaller sector is 76.9 degrees.

The area of the smaller sector can be found as follows:

Therefore,

area of a sector = ∅/ 360 × πr²

where

Therefore,

∅ = 77 degrees

r = 10.7 inches

area of the sector = 77 / 360 × 3.14 × 10.7²

area of the sector = 77 / 360 × 3.14 × 114.49

area of the sector = 27681.3922 / 360

area of the sector = 76.8927561111

area of the sector = 76.9 degrees

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Answer:

EF is 61 units.

Step-by-step explanation:

EF is 61 units as we can assume that line EG intersects line FH in half, if we know that, then we can find out that EF is 61.

Answer:

b) 61

Step-by-step explanation:

Triangles FEG and HEG are congruent by HL.

That makes sides EF and EH congruent by CPCTC.

Answer: b) 61

Answer:

B

Step-by-step explanation:

Because the range are the y values

The range of the given function is {-3, 1, 5,9}. Therefore, option B is the correct answer.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

The solution set of the given function is {(-1, -3), (0, 1), (1,5), (3,9)}.

Range is the set of all y-coordinates

So, the range is {-3, 1, 5, 9}

Therefore, option B is the correct answer.

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The 30th term a30 of the sequence is -1445

The definition of the function is given as

arithmetic sequence of 1,-4,-9,-14

The above definitions imply that we simply subtract 5 from the previous term to get the current term

Using the above as a guide,

so, we have the following representation

First term, a = 1

Common difference, d = 5

An arithmetic sequence is represented as

a(n) = a + (n - 1)d

For the 30th term, we have

a(30) = a + 29d

So, we have

a(30) = 1 + 29 * -5

Evaluate

a(30) = -144

Hence, the value of a30 is -144

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Answer:

She has $984.00 left after taxes.

She pays $216.00 in taxes

Step-by-step explanation:

1200 x .18 = 216

She pays $216.00 in taxes

1200 - 216 = 984

She has $984.00 left after taxes.

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

The probability of finding such people will get closer to 0.61 as the sample gets bigger.

a) This means that if you were to take a large sample of US adults and inquire them about having breakfast, about 61%(i.e. 0.61) will say that they usually have breakfast.

b) It is, for sure, expected that if we take a sample of 100, around 61% of these americans will say that they usually eat breakfast. But if the number will be 61 exactly is not a certainty and it will vary from sample to sample.

The probability of finding such people will get closer to 0.61 as the sample gets bigger.

Explanation has been provided in the answers above due to their descriptive nature.

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The general form of the equation of the given circle with center A is (x − h)² + (y − k)² = a².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circle with center A

The general form of the equation of a circle is: x2 + y2 + 2gx + 2fy + c = 0.

The equation of the circle is given by  (x−h)² + (y−k)² = a²

Here, h and k are the x and y coordinates of the circle and a is the radius of the circle.

Thus, the standard equation of a circle is  (x−h)² + (y−k)² = a².

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The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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The array A after the first PARTITION() call is ⟨8, 7, 3, 5, 9, 10, 30, 18, 15, 25⟩ and after the second PARTITION() call is {3, 5, 7, 8, 9, 10, 18, 15, 25, 30}.

The Quicksort algorithm partitions an array into two sub-arrays and sort them recursively.

The partitioning method is the core part of Quicksort. In this problem, we are running the Quicksort algorithm on the array A=⟨25,8,30,9,7,15,3,18,5,10⟩.

We will use the PARTITION() call to split the elements into sub-arrays and sort them.

The first PARTITION() call selects a pivot element and partitions the array such that all the elements less than pivot are on the left, and all the elements greater than pivot are on the right.

This pivot position is the correct position of the element in the sorted array.

Here, the pivot element is 10.

We select it as the pivot and partition the array.

We will now write the array A after the first PARTITION() call:⟨8, 7, 3, 5, 9, 10, 30, 18, 15, 25⟩.

The second PARTITION() call will partition the left and right sub-arrays.

Here, the left sub-array is {8, 7, 3, 5, 9} and the right sub-array is {30, 18, 15, 25}.

For the left sub-array, the pivot element is 9, and for the right sub-array, the pivot element is 18.

We will now write the array A after the second PARTITION() call:{3, 5, 7, 8, 9, 10, 18, 15, 25, 30}.

Hence, the array A after the first PARTITION() call is ⟨8, 7, 3, 5, 9, 10, 30, 18, 15, 25⟩ and after the second PARTITION() call is {3, 5, 7, 8, 9, 10, 18, 15, 25, 30}.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

(i)

y = 3x - 4

with slope m = 3 and y- intercept c = - 4

(ii)

y = - 3x + 7

with slope m = - 3 and y- intercept c = 7

Answer:

here we can see clearly,

Answer:

10.179 cubic inches

Step-by-step explanation

434= (4/3) * 3.14* r^2

Answer:

the midpoint is (9/2, 5/2)

Step-by-step explanation:

Find the midpoint of the line segment joining (2, 1) and (7, 4).  The midpoint of the jump from x = 2 to x = 7 is (2 + 7)/2, or 9/2.  This 9/2 is the x-coordinate of the midpoint.

Next, find the midpoint of the jump from y = 1 to y = 4.  It is 5/2.  This 5/2 is the y-coordinate of the midpoint.

Then the midpoint is (9/2, 5/2).

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

180 + 8x = 160 + 6x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

180 + 8(-10) = 160 + 6(-10)

180 - 80 = 160 - 60

100 = 100

Piggy simon and the littlun have in common Piggy, Simon, and the littlun share commonalities of vulnerability, insight, innocence, and tragic destinies in "Lord of the Flies."

Piggy, Simon, and the littlun from William Golding's novel "Lord of the Flies" share several commonalities despite their differences in character and role within the story.

Firstly, all three characters are depicted as vulnerable and marginalized within the group of boys stranded on the island. Piggy, with his physical and intellectual limitations, is often ridiculed and excluded by the other boys.

Similarly, the littlun represents the youngest and weakest members of the group, often overlooked or dismissed by the older boys. Simon, while possessing a kind and gentle nature, is introverted and withdrawn, making him somewhat of an outcast.

Secondly, all three characters demonstrate a sense of insight or wisdom beyond their years. Piggy, with his intelligence and rational thinking, often offers logical suggestions and insights to problems.

Simon possesses a deep sense of spirituality and connection with nature, providing profound observations about the island and the boys' behavior. The littlun, though less explicitly portrayed, is seen as perceptive in their observations of the island and the unfolding events.

Additionally, these characters exhibit a certain degree of innocence and purity amidst the growing savagery and chaos on the island.

Piggy, Simon, and the littlun are not driven by the same primal instincts and desires for power and control that dominate the other boys. They retain a sense of morality and empathy that is gradually eroded in the majority of the group.

Furthermore, these characters all meet tragic fates in the story. Piggy is brutally murdered by Roger, Simon is mistaken for the "beast" and killed in a frenzied act of violence, and the littlun's fate is left ambiguous but implied to be bleak.

In summary,  They serve as contrasting figures to the destructive tendencies of the other boys and offer glimpses of humanity and morality amidst the descent into savagery.

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Answer: (8,780)

Step-by-step explanation:

if u round to the nearest tens the "75" will be an "80" because to change numbers it has to be 5 or more :) hope i help

pls mark brainliest i need it :)

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

Answer:

Step-by-step explanation:

Formula for calculating interest is expressed as;

I = PRT/100

P is principal

R is the rate

T is the time

For first account

I = P(1)(6)/100

I1 = 0.06P1

For the second bank!

I2 =>P2(1)(4)/100

I2 = 0.04P2

If the total interest is $3520, then

I1+I2 = 3520

0.06P1+0.04P2 = 3520.... 1

If the Amount invested = $65000

P1+P2 =65000..... 2

Solve. 1 and 2 simultaneously

Eqn 2 × 0.06

0.06P1+0.06P2 = 3900.... 3

Subtract 1 from 3;

0.04P2-0.06P2 = 3520-3900

-0.02P2 = -380

P2 = 380/0.02

P2 = $19000

Get p1;

P1 = 65000-P2

P1 = 65000-19000

P1 = $46000

Hence $46000 was invested in the first account and $19000 in the second

Answer:

Mixed fraction: -10 2/5

Step-by-step explanation:

-10.4 = -10 4/10, simplify to -10 2/5

Answer: Line AB

Hope this helps