Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12

A. Step 1
B. Step 2
C. Step 3
D. Step 4

Solution :

Response variable is the variable whose value is to be predicted or the value  is influenced. It is also known as the dependent variable. While the variable which affects the values and is used for the prediction is known as the explanatory variable or the independent variable.

i. The explanatory variable in the study is the Vkorc I mutation.

ii. The response variable in the study is the Warfarin resistance.

b). The explanatory variable which comes under the nominal scale in this study is the Vkorc I mutation.

While the response variable or the independent variable that comes under the interval scale in the study is the Warfarin resistance.

c). The group of the individuals in this study is called as  population. The target population in the study is the house mouse which is required as the mutation in Vkorc 1 gene from the hybridizing with Algerian mouse.

d). The study is a manipulative experiment as the changes that have already introduced in house mice and the treatments are under control.

e). No in this study the researcher did not use any random sample.

The correct answer is the second option.

What is typing speed?

Typing speed is the measure of how many correct words are typed in a 60-second time frame.

The average typing speed is 40 words per minute or wpm.

Therefore the correct answer is the second option.

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Correct option is C, The typing speed is measured in words per minute.

The typical typing rate is 40 words per minute (wpm). Aim for a typing speed of 65 to 70 words per minute if you want to be really productive. With the appropriate approach, it's simple!

There are various typing tests available. This typing test measures your speed of typing in words per minute. Your WPM score will increase the more you practice typing and the more you measure your typing speed. Only WPM typing is the topic of certain online typing tests and typing test games. The WPM typing test has the drawback of simply teaching you how to type quickly. The WPM typing test does not demonstrate your accuracy.

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Answer:

\(x=11\)

Step-by-step explanation:

It is a linear pair

\(7x + 12 + 8x + 3 = 180\)

\(15x + 15 = 180-15\\15x = 165\)

\(x=11\)

Answer: add a photo

Step-by-step explanation:

Answer:

I think its a trapezoid.

Answer:

trapezoid

Step-by-step explanation:

I think it's a trapezoid

Answer:

A I think

Step-by-step explanation:

86% of 22 is the correct answer

The exact value of the trigonometric function cos ( u - v) in the second quadrant is equal to cos ( u - v ) = 56 / 65.

In the second quadrant,

Trigonometric function sine is always positive.

And trigonometric function cosine is always negative.

Here value of trigonometric function

sin u = 5 / 13

cos v = -3 /5

cos u = √ 1 - sin² u

⇒ cos u = √ 1 - ( 5 / 13 )²

⇒ cos u = √ 144/169

⇒ cos u = -12 / 13

And

sin v = √ 1 - cos² v

⇒ sin v = √ 1 - ( -3/5 )²

⇒ sin v = √ 16/25

⇒ sin v = 4 / 5

Now exact value of trigonometric function

cos ( u - v ) = cos u cos v + sin u sin v

Substitute the value we get,

⇒ cos ( u - v ) = (-12/13)(-3/5) + ( 5/13)(4/5)

⇒ cos ( u - v ) = 36 / 65 + 20 / 65

⇒ cos ( u - v ) = 56 / 65

Therefore , the value of the trigonometric function cos ( u - v ) = 56 / 65.

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The above question is incomplete, the complete question is:

Find the exact value of the trigonometric function cos(u - v) .

Given that sin u 5/13 and cos v -3/5. (Both u and v are in Quadrant II.)

Answer:

B

Step-by-step explanation:

i did test yesterday and got 90 percent that q was on my test too.

Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)

Answer:

0.27

Step-by-step explanation:

The standard deviation of a uniform distribution is:

σ² = (b − a)² / 12

σ² = (32.51 − 31.58)² / 12

σ² = 0.0721

σ = 0.268

Rounded to the hundredths place, the standard deviation is 0.27.

To solve this question, we use concepts of the uniform probability distribution.

Using this, we get that the standard deviation in volumes of quart-size Hellmann's mayonnaise jars is of 0.2685 fluid ounces.

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The standard deviation is:

\(S = \sqrt{\frac{(b-a)^2}{12}}\)

The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces.

This means that \(a = 31.58, b = 32.51\)

Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces).

\(S = \sqrt{\frac{(32.51 - 31.58)^2}{12}} = 0.2685\)

Thus, the standard deviation is of 0.2685 fluid ounces.

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Answer:

7.5 or 15/2

Step-by-step explanation:

x-3x+6=2x-24 -- Combine like terms

-2x+6=2x-24 -- Add 2x to each side

6 = 4x-24 -- add 24 to each side

30 = 4x -- divide by 4

15/2 or 7.5 = x

As per the angle sum property, the interior angles that form the triangle is option

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

Angle sum property

Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.

Given,

Here we have the list of interior angles

A. 45, 45, 45*

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

E. 90,90°, 45°

F. 90, 90, 90°

Now, we have to find in which for these angle will form the tringle.

As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.

Based on these we have to verify each of the given interior angles,

A) 45 + 45 + 45 = 135

B. 60 + 60 + 60 = 180

C. 40 + 50 + 90 = 180

D. 30 + 60 + 90 = 180

E. 90 + 90 + 45 = 225

F. 90 + 90 + 90 = 270

Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.

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Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Answer: the answer is C

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

pls give me BRAINLIEST

Answer:

No for the first one, yes for the second.

Step-by-step explanation:

Plug in the given numbers and see if it works.

15(1) + 3(4) = 10

15 + 12 = 10.

27 ≠ 10

Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.

Now for the second problem, do the same thing.

10 = 1 + 9.

This is true, but remember to check the second equation just to be sure.

10 = 4(1) + 6

10 = 4 + 6

This is also true, so it (1,10) is a solution for the second system of equations.

Answer:

This is the correct answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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Answer:

Step-by-step explanation:

Answer:

1.91 lb

Step-by-step explanation:

1 3/4 cups of pecans per pie = 1.75 cups.

For 5 pies, 5 × 1.75 cups = 8.75 cups are needed.

1 cup = 99 g

8.75 cup × (99 g) / (1 cup) = 866.25 g

Exact conversion: 453.59237 g = 1 lb

866.25 g × (1 lb)/(453.59237 g) = 1.91 lb

Answer: 1.91 lb

Answer:

\(6 + {x}^{2} \)

That is the answer.

Hope this helps ya.

Answer:

n^2 + 6

Step-by-step explanation:

Let the number be n.  

Then the sentence translates into n^2 + 6.

The average confidence interval, according to our 80% level of confidence, falls between 31.54 and 35.86 minutes for the total population.

You only have a 5% probability of making a mistake with a 95% confidence interval. You have a 10% probability of being mistaken when the confidence interval is 90%. The difference between a 95 percent and 99 percent confidence interval is the width of the interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

Confidence intervals include details about the range in which the true value is likely to fall, as well as the kind and magnitude of the effect that has been proved. Conclusions concerning the can be made as a result of this.

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Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Incomplete question. However, I answered from a general research perspective.

Explanation:

Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.

A randomly selected sample could be done as either:

Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.

Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:

\(H_0: p = 0.8\)

At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.

\(H_1: p < 0.8\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are:

\(p = 0.8, n = 150, \overline{p} = 0.7\)

Then, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}\)

\(z = -3.06\)

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of \(z^{\ast} = -1.645\).

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

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Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Answer:

C. Why bullying makes a person feel bad.

My brain is kinda slow today, but I'm pretty sure the best answer is C. Otherwise, it would be D.

Answer:

63

Step-by-step explanation: