How do you draw a square ABCD?

Answer:

362880

Step-by-step explanation:

Ratio:-

#2

Ratio:-

#3

Ratio of Chris=4:5

If we take decimals

Approximately they are equal

#A

Ratio:-

#B

Ratio:-

#C

Percentage:-

\(\\ \rm\rightarrowtail \dfrac{2}{5}(100)=2(20)=40\%\)

#D

Ratio for Chris=4:5

Answer:

80

Step-by-step explanation:

Answer:

800 = 80 tens

Step-by-step explanation:

4800 / 60 = 800

The triangle when dilated by a scale factor of -1/2 the final image is at the coordinates:

A' = (6, 3)

B' = (6, 5.5)

C' = (5, 4)

The coordinates of the preimage are

(-3, 3), (-3, -2), and (-1, 1)

this is achieved using the formula

=  (k(x - a) + a, k(y - b) + b)

(a, b) is the center of dilation and k is the scale factor

the dilation is done as follows

preimage      dilation                                         image

(-3, 3)         (-0.5(-3 - 3) + 3, -0.5(3 - 3) + 3)        (6, 3)

(-3, -2)       (-0.5(-3 - 3) + 3, -0.5(-2 - 3) + 3)       (6, 5.5)

(-1, 1)          (-0.5(-1 - 3) + 3, -0.5(1 - 3) + 3)          (5, 4)

The final coordinates are (6, 3), (6, 5.5) and (5, 4)

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The researcher can use certain formulas for finding confidence intervals and hypothesis testing in this scenario.

For confidence intervals, the formula for the mean difference would be used, which is the average of the weight changes in the sample.

This formula calculates the range within which the true population mean difference is likely to fall.

To conduct hypothesis testing, the researcher can use the formula for the t-test for a single sample.

This test compares the mean difference observed in the sample to a hypothesized value and determines whether there is enough evidence to support or reject the hypothesis.

To check the assumptions necessary for this test, the researcher would need additional information. The assumptions typically include:

1. Random sampling: It is important to ensure that the subjects were randomly selected from the population to generalize the results.

2. Normality: The weight changes should follow a normal distribution within the population.

The researcher would need to assess the normality assumption, such as by examining the distribution of weight changes or using statistical tests like the Shapiro-Wilk test.

3. Independence: The weight changes of one subject should not be influenced by the weight changes of another subject.

This assumption can be violated if the subjects are related or if there are repeated measurements on the same subjects.

By checking these assumptions and using the appropriate formulas, the researcher can make confidence intervals and perform hypothesis testing to draw conclusions about the effects of the drug on weight loss in the population.

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RCTs are considered one of the gold standards for evaluating the effectiveness of medical interventions because they can provide strong evidence of causality.

The study described in the question is a randomized controlled trial (RCT). An RCT is a type of experimental study where participants are randomly assigned to different groups, and the effect of an intervention is evaluated by comparing outcomes between the groups. In this case, the intervention is the type of treatment (surgery vs radiation therapy), and the outcome of interest is the mortality rate after 2 years.

Random assignment of patients to treatment groups helps to reduce the influence of confounding variables and biases, thus allowing a more accurate assessment of the intervention's effects. In addition, by following patients over a specific period of time, the study can provide information about the long-term effects of the treatment.

Overall, RCTs are considered one of the gold standards for evaluating the effectiveness of medical interventions because they can provide strong evidence of causality.

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The length c in the triangle using law of sine is 6.3

From the question, we have the following parameters that can be used in our computation:

The triangle

The length C in the triangle can be calculated using the following law of sine equation

a/sin(A) = b/sin(B)

In this case, we have

a = 15

A = 125

b = c

B = 20

Substitute the known values in the above equation, so, we have the following representation

c/sin(20) = 15/sin(125)

Evaluate

c = sin(20) * 15/sin(125)

So, we have

c = 6.3

Hence, the value of c is 6.3

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

\(y = \frac{1}{8} x - 2 \frac{1}{4} \)

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

\( - 2 = \frac{1}{4} + c\)

\(c = - 2 - \frac{1}{4} \)

\(c = - 2 \frac{1}{4} \)

Thus, the equation of line q is \(y = \frac{1}{8} x - 2 \frac{1}{4} \).

Answer:

y=1/8x-9/4

Step-by-step explanation:

Answer: (4x5) / 10 - 5 = 5

Step-by-step explanation: 20/10 = 10

10-5 = 5

Answer:

256

Step-by-step explanation:

(-2)^4 = 16 so 16 * 16 = 256

Answer:

85

Step-by-step explanation:

13(6)+7=85

:)

Answer:

85

Step-by-step explanation:

Let's calculate the working hours of the first 6 days:

\(13 * 6 = 78\) hours

Now let's add that to the last 7 hours she worked:

\(78 + 7 = \fbox{85}\) hours

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

12

Step-by-step explanation:

Write down multiples of each number:

3, 6, 9, 12 . . .

4, 8, 12 . . .

6, 12 . . .

The first one they all have is the LCM.

Answer:

12

Step-by-step explanation:

Think of it this way. Simplifying 3, 4 and 6 into their simplest factors:

\(3=3\)

\(4=2*2\)

\(6=3*2\)

6 is a multiple of both 3 and 2, which are both represented by the factors of 3 and 4. Thus, as it is doubled in these, it is not necessary to find the lowest common multiple of the numbers.

Now the LCM can be multiplied with the factors of the remaining numbers:

LCM\(=3*2*2\)

Notice the first two numbers equal 6, the second and third equal 4, and the first only equals 3. This means the three numbers are represented in the LCM.

\(3*2*2=24\)

And that is the LCM, so we are done. QED

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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The ratio of girls to boys in middle school, written in fraction form, can be determined by adding the number of girls in both grades and dividing it by the sum of the number of boys in both grades.

The ratio of girls to boys in middle school is 230/193.

To find the total number of girls, we add the number of fifth-grade girls (110) and the number of sixth-grade girls (120), which gives us a total of 230 girls.
To find the total number of boys, we add the number of fifth-grade boys (100) and the number of sixth-grade boys (93), which gives us a total of 193 boys.
Now, we can express the ratio of girls to boys as a fraction by dividing the number of girls by the number of boys.
The fraction representing the ratio of girls to boys in middle school is: 230/193
This fraction cannot be simplified any further.
Therefore, the ratio of girls to boys in middle school, written in fraction form, is 230/193.

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Answer:

The cost foe producing 1700 key chains is $1,620

Explanation:

Given that cost of production key chains can be calculated using the formula:

C = 260 + 0.80p

The cost for producing 1700 key chains can be obtained by substituting p by 1700 in the given formula.

C = 260 + 0.80(1700)

= 260 + 1360

= 1620

The cost is $1,620

Answer:

1) 78.87%

2) 99.7%

Step-by-step explanation:

The z-score for a normal distribution is given by:

\(z=\frac{X-\mu}{\sigma}\)

1- The given data is:

σ = 4 years

μ = 50 years

For X = 45 and X =55

\(z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25\)

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.

Therefore, the percentage of the alligators are between 45 and 55 years old is:

\(P=89.44-10.57=78.87\%\)

78.87% of alligators.

2- The given data is:

σ = 2 minutes

μ = 17 minutes

For X = 11 and X =23

\(z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3\)

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.

Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

\(P=99.865-.0135=99.73\%\)

99.7% of people.

Using the normal distribution, it is found that:

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The proportion between 45 and 55 years old is the p-value of Z when X = 55 subtracted by the p-value of Z when X = 45, then:

X = 55:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55 - 50}{4}\)

\(Z = 1.25\)

\(Z = 1.25\) has a p-value of 0.8944.

X = 45:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55 - 50}{4}\)

\(Z = -1.25\)

\(Z = -1.25\) has a p-value of 0.1057.

0.8944 - 0.10567= 0.7887.

0.7887 = 78.87% of the alligators are between 45 and 55 years old.

For the second question, by the Empirical Rule, 99.7% of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.

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Answer:

Step-by-step explanation:

answer=

5x+1=6

5x=6-1

5x=5

x=1

Square root of 1 is 1

Answer:

√5x+1 = 6

(√5x+1)2 = (6)2

5x+1 = 36

5x  -35 = 0

 Add  35  to both sides

     5x  = 35

Divide both sides by 5

     solution is :

    x = 7

Step-by-step explanation:

The drop in the price of peanut butter would result in an increase in the demand for bread. In other words, the decrease in the price of peanut butter would result in an increase in the demand for bread.

Complementary goods are items that are frequently consumed together. As a result, when the cost of one of them changes, it affects the consumption of the other. When bread and peanut butter are complementary goods, a price reduction of peanut butter results in an increase in its demand. The demand for bread will increase as a result of the decrease in the price of peanut butter. As a result, if the price of peanut butter is reduced, its consumption will rise. As a result, the demand for bread would increase because of the complementary relationship between the two. Bread and peanut butter are complementary goods that are frequently purchased together.

When the price of peanut butter decreases, people would buy more peanut butter, causing them to purchase more bread to go with it. The drop in the price of peanut butter would result in an increase in the demand for bread. In other words, the decrease in the price of peanut butter would result in an increase in the demand for bread. The relationship between complementary goods is, therefore, inverse.

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Given:

Equation of line is \(y=3x-7\).

To find:

The equation of line which is parallel line to \(y=3x-7\) and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

\(y=mx+b\)

where, m is slope and b is y-intercept.

On comparing the equation \(y=3x-7\) with slope intercept form, we get

\(m=3\)

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

\(y-y_1=m(x-x_1)\)

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

\(y-5=3(x-3)\)

\(y-5=3x-9\)

Add 5 on both sides.

\(y=3x-9+5\)

\(y=3x-4\)

Function notation of this equation is

\(f(x)=3x-4\)

Therefore, the equation equation in function notation is \(f(x)=3x-4\).

Answer:

To find the surface area of the rectangular prism, we need to add up the areas of all six faces.

From the net, we can see that there are two rectangles with dimensions 6 x 3 (the top and bottom faces), two rectangles with dimensions 2 x 3 (the left and right faces), and two rectangles with dimensions 6 x 2 (the front and back faces).

The area of each rectangle is given by the formula A = lw, where l is the length and w is the width.

So, the surface area of the rectangular prism is:

2(6 x 3) + 2(2 x 3) + 2(6 x 2)

= 2(18) + 2(6) + 2(12)

= 36 + 12 + 24

= 72

Therefore, the surface area of the rectangular prism is 72 square inches.

Answer:

1. D

2. x=65

Step-by-step explanation:

Hi!

Your answer is D because 78 is 120% of x

120% in decimal point is 1.2.

So it's 1.2x is the same as 120% of x

For question 8:

1.2x=78

Isolate x by divide 1.2 on both sides

78/1.2=65

The average speed should be almost 69 - 70 km/h.

To calculate average speed, divide the total distance traveled by the passing time. For instance, if a person is moving at a speed of one mile per minute, or 40 miles per hour, they would be traveling 20 miles north and then 20 miles south (60 mph).

The mean value of a body's speed over a period of time is its average speed. Since a moving body's speed is not constant over time and fluctuates, the average speed formula is required.

Time = distance / speed

Speed = Distance / Time

Speed = 600/8.66

Speed = 69.28 km/h

So the average speed should be almost 69 - 70 km/h

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The answer to the question probability of randomly selected person has a blood pressure of 182.6 mmHg is 0.0088.

What is standard deviation?

A measure of a group of values' variance or dispersion in statistics is called the standard deviation. When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

The lowercase Greek letter sigma, which stands for the population standard deviation, or the Latin letter s, which stands for the sample standard deviation, are most frequently used in mathematical equations and texts to represent standard deviation. Standard deviation is also sometimes referred to as SD.

The mean blood pressure for people in china is 128 mmHg.

The standard deviation of 23 mmHg.

For blood pressure of 182.6 mmHg

=p(x> 182.6)

=p(z> 182.6-128/23)

=p(z> 2.37)

=0.0088

Hence the probability of a randomly selected person has a blood pressure of 182.6 mmHg is 0.0088.

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Answer:

Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!

Step-by-step explanation:

onde esta a altenaativas

Answer:

#2

Step-by-step explanation: