Solve for a. 3(a+3)+6=30

9514 1404 393

Answer:

  21–24 and 28 are correctly marked

  25: NEI; 26: ASA or LA; 27: SSS

Step-by-step explanation:

25: At least one side is required for showing congruence. In figure 25, only angles are shown congruent, so there is not enough information.

__

26: Two angles and the side between them are marked congruent. These triangles can be declared congruent by ASA. Considering they are right triangles, one could also invoke LA as the appropriate theorem.

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27: The unmarked sides of the two outside triangles can be shown to be congruent by virtue of the fact they are opposite congruent angles in the middle triangle. Hence all three sides can be shown congruent for those outside triangles, and the SSS postulate can be invoked.

Answer:

Very confused! at 95% confidence level, the true population mean will be between 134.33 and 145.67.

Step-by-step explanation:

A random sample of 45 home theater systems has a mean price of ​$140.00

Assume the population standard deviation is ​$19.40

population standard deviation is 19.40

sample size is 45.

standard error of the sample mean is 19.40 / sqrt(45) = 2.89198

at 90% confidence level, critical z is plus or minus 1.645.

at 95% confidence level, critical z is plus or minus 1.96.

critical raw score will be sample mean plus or minus critical z-score * standard error of the mean.

your sample mean is 140.

your standard error of the mean is 2.89198

at 90% confidence level, your critical raw score will be 140 plus or minus 1.645 * 2.89198.

that becomes 140 plus or minus 4.76 rounded to the nearest penny.

at 90% confidence level, the true population mean will be between 135.24 and 144.76.

at 95% confidence level, your critical raw score will be 140 plus or minus 1.96 * 2.89198.

that becomes 140 plus or minus 5.67 rounded to the nearest penny.

Using the z-distribution, it is found that:

We are given the standard deviation for the population, and thus, the z-distribution is used.

The information is:

A z-confidence interval is given by:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

For the 90% confidence interval, [tex]\alpha = 0.9[/tex], thus, z with a p-value of [tex]\frac{1 + 0.9}{2} = 0.95[/tex], which means that it is z = 1.645.

Then, the 90% confidence interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.645\frac{13.97}{\sqrt{74}} = 82.55[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.645\frac{13.97}{\sqrt{74}} = 87.89[/tex]

The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.

For the 95% confidence interval, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Then, the 95% confidence interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.96\frac{13.97}{\sqrt{74}} = 82.04[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.96\frac{13.97}{\sqrt{74}} = 88.40[/tex]

The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.

The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.

A similar problem is given at https://brainly.com/question/22596713

Replace x and Y with the points and solve:

4x  -2y

(-4,-1) = 4(-4) - 2(-1) = -16 +2 = -14

(-4,-4) = 4(-4) - 2(-4) = -16 +8 = -8

(2,-3) = 4(2) - 2(-3) = 8 + 6 = 14

(3,-5) = 4(3) -2(-5) = 12 +10 = 22

The minimum value ( lowest ) is -14, which would be (-4,-1)

Answer:

4e +5+21=90

4e+26=90

4e=64

e= 16

Step-by-step explanation:

This is a 90 degree angle (right angle), soo you the measures given would be equal to 90 degrees

1.first simplify the equation

2. subtract 26 from both sides

3. Now divide 4 from boht sides to leave the unknown variable alone

4. You are left with the answer, which is 16

I hope this helps!

Answer:

1/2m+100

Step-by-step explanation:

Answer:

x=32

Step-by-step explanation:

Hope this helps. Have a great day and plz give brainliest.

Answer:

There isn't enough information on this question

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

Answer:

x = 1

Step-by-step explanation:

Input values are x-values plotted on the x-axis, while output values are the y-values plotted on the y-axis.

The question is simply asking that, which value of x will give us the same y-value for the two functions graphed above.

The x value that will give us the same y-value for both functions is the point where the line of both functions intercept. At that point, when x = 1, y = 1, in both functions.

Therefore, the input value of x = 1, will give an output value of y = 1, for the two functions on the graph.

Answer:

1/3  , only one solution

Step-by-step explanation:

3x-1 = 1-3x

3x-1 = -3x+1

6x-1 = 1

6x = 2

x = 1/3

Answer:

Infinitely many solutions.

Step-by-step explanation:

[tex]3x+1-3(x-1)=4\\\\3x+1-1-3(x-1)=4-1\\\\3x-3(x-1)=3\\\\3x-3x-3=3\\\\\boxed{3=3}[/tex]

Hope this helps.

Answer:

a(a-6)(a-3)

Step-by-step explanation:

Answer:

The slope between (-5,1) and (4,4) is 1/3

Step-by-step explanation:

When you're given 2 points and you must find the slope between those 2 points, you can find the distance between the y values and the x values.

For example in this case, the distance in our first y value is 3. So we know that y is always above x so we have 3/x so far.

Next to find the x values you do the exact same, and we get a distance of 9 from -5 to +4.

Now we have 3/9 which should be simplified to 1/3. When plotting this point, you'll use the strategy Rise over Run or Rise/Run.

(Side Note: Y is always above X so we know the Rise must be Y and the X must be Run.)

Y/X = Rise/Run

Hope this helps! :)

Answer:

650

Step-by-step explanation:

so the way I did this was by adding how much he works per week which is 35 per week. so he works 70 hours in 2 weeks. he earns 10 dollars per hour. so 10 times 70 you get 700 but he spends 50. so 700 minus 50. you get 650. he has 650 dollars left.

Answer:

f(x)

=(x-4)[6(x^2)+23x+20]

=(x-4)(2x+5)(3x+4)

x=4,-2/5,-3/4

Answer:

A scientific calculator costs $3.50 today. I remember when they cost about $75. What is the percent decrease in the price of a scientific calculator?

In other words: The decrease in price is what percent of the original price?

% Decrease= (Decrease in price(New price-Old Price))/(Original Price(old price))×100

Answer:

51.2545454545

Step-by-step explanation:

Answer:

51.25....

Step-by-step explanation:

Answer:

yes, there are a few outliers

Answer:

Yes

Step-by-step explanation:

30 is an outlier because it is much different from the other data points.

Answer:

5 + 4 = 9 is near the doubles 4 + 4 = 8 and 5 + 5 = 10, so either double could be used to find the sum of 5 + 4.

Step-by-step explanation:

Hope this helps leave a heart c:

Answer: The answer is 36. Hope you have a nice day.

There you go

Answer:

B, C, E

Step-by-step explanation:

This is correct. Trust me.

Answer:B, C, E

Step-by-step explanation:

Answer:

A)

Less than $100

B)

[tex]B(21)=300[/tex]

For each day after Day 16, Ebony deposited $40.

Step-by-step explanation:

We know that on Day 16 she deposited $100 into her account.

And each day after Day 16, she made a deposit and each deposit were equal to each other.

So, let's answer each of the questions using the available information.

Part A)

Notice that the 5th Segment starts and ends with the 5th to the 6th Point. The 6th Point represents the 16th Day, where B(16)=100.

We want to know whether or not each of her deposits after Day 16 were less than, equal to, or greater than $100.

We can immediately conclude that it must be less than $100 because we can see that the slope of the 6th Segment is less steep than the slope of the 5th Segment.

Since it is less steep, this means that the unit rate of change from each day after Day 16 is less than the unit change on Day 16, which is $100/day.

So, the each of the deposits made after Day 16 is less than $100.

Part B)

We want to estimate B(21) in hundreds.

Remember that Ebony's maximum balance is $400.

Also, recall that the first point is $200.

B(21), the 7th Point, seems to be between the 2nd/3rd Point and the 1st Point.

So, it is reasonable to say that at the 21st Day, her account balance was (200+400)/2=600/2=$300.

We know that at Day 16, her account balance was $100. So, we have the point (16, 100).

And at Day 21, her account balance is $300. So, (21, 300).

Since each deposit after Day 16 is the same, it has a constant rate of change. So, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (16, 100) be (x₁, y₁) and let (21, 300) be (x₂, y₂). Substitute them into the slope formula. This yields:

[tex]m=\frac{300-100}{21-16}[/tex]

Subtract and divide. So:

[tex]m=\frac{\$200}{5\text{ days}}=\$40\text{/day}[/tex]

So, for each day after Day 16, Ebony deposited $40.

And we're done!

Answer:

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

Step-by-step explanation:

The standard equation of a circle centered at (a,b) with radius r would be (x - a)^2 + (y - a)^2 = r^2

This example represents a circle with center (2, - 1) having a radius of 3

The parametric equation of a circle centered at (0,0) would be;

x = r cos t,

y = r sin t

And so when centered at (a, b) we would have;

x = a + r cos t,

y = b + r sin t

In this case x = 2 + 3 cos t, and y = - 1 + 3 cos t

Now if the particle starts at (-1, - 1), correspondent to a start parameter of t = π, we need two revolutions so it should be that t = π + 2 * 2π = 5π.

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

Answer:

I don't understand oof oof

Step-by-step explanation:

Answer: 7

To find the remaining amount, we must multiply up to 132.

25 x 5 = 125

Subtract 125 from 132.

132 - 125 = 7

Answer = 7

The number of stickers Ms. Smith has leftover is 7.

Ms. Smith has 132 stickers and 25 students. She gives each student the same number of stickers. In order to determine the number of stickers she would have left, the number of stickers each student got has to be determined first. The stickers each student got can be determined by dividing the total number of stickers by the total number of stickers.

Total number of stickers each student got = total number of stickers / total number of students

132 / 25 = 5 (to the nearest whole number).

The total number of stickers distributed.

5 x 25 = 125.

The total amount of stickers left = 132 - 125 = 7 stickers.

A similar question was answered here: https://brainly.com/question/20291097?referrer=searchResults

Answer:

10

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

Convert each to a decimal.

pie + 8 = 11.14

5 and the square root of 20 = 22.36

10/ the square root of 3 = 5.77

Now put them in order from least to greatest.

10/ the square root of 3, pie + 8, 5 and the square root of 20.

Option D is your answer!

Answer: