QUESTION 15
Divide 126.45 by 9.6 and round your answer to the nearest thousandth.
O 0.08
O 13.172
O 13.17
O 0.076

The value of the expression \(\frac{1}{9x^{(3 + 1)}}\) is \(\frac{1}{9x^{4}}\)

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression, \(\frac{1}{9x^{(3 + 1)}}\).

Therefore,  \(\frac{1}{9x^{(3 + 1)}} = \frac{1}{9x^{4}}\).

We also know about radicals,

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Q. Find the addition of cubes 1/9x^3+1.

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Answer:

5) x:-7.5

6) y:7.8

7) a:-11

8) y:1

Step-by-step explanation:

Answers:

======================================================

Explanation:

Point M is the segment bisector because it splits PQ into the equal halves of PM and MQ. The tickmarks indicate this visually.

Since PM and MQ are the same length, we can set them equal to one another and solve for x.

5x-3 = 11 - 2x

5x+2x = 11+3

7x = 14

x = 14/7

x = 2

The 2 you have in the box seems to indicate this might be what you found for x. It's not the final answer because we need to determine MQ based on this. Let's find the length of each smaller piece.

In short, MQ = 7

The fact that each piece is the same length (7 units) helps us verify we have the correct x value and correct final answer.

Approximately 95% of housing prices are between a low price of $133,000 and a high price of $161,000.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable.

Hence the prices within two standard deviations of the mean are given as follows:

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Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Answer:

The value of a and b is given. All u hv to do is just place the values in the places of a and b. The value of a= 3.1 and b= 7.3.

5i) a+b

     3.1+7.3

     =10.4

ii) b-a

   7.3-3.1

    =4.2

5 and 6 are both similar. Just place the numbers instead of the letters

6i) x+y

    5+7

    =12

ii) y-x

   7-5

   =2

iii) x/y

    5/7

    =0.714

There u go :D

Answer:

a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes

c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.9 minutes and a standard deviation of 2.9 minutes.

This means that \(\mu = 8.9, \sigma = 2.9\)

Sample of 37:

This means that \(n = 37, s = \frac{2.9}{\sqrt{37}}\)

(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?

320/37 = 8.64865

Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So

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

By the Central Limit Theorem

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

\(Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}\)

\(Z = -0.53\)

\(Z = -0.53\) has a p-value of 0.2981

0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?

275/37 = 7.4324

Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So

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

\(Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}\)

\(Z = -3.08\)

\(Z = -3.08\) has a p-value of 0.001

1 - 0.001 = 0.999

0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?

Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So

0.2981 - 0.0010 = 0.2971

0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

B

Step-by-step explanation:

None

The value of constant in the equation is, 1.5

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The points on the graph is,

⇒ (1, 1.5) , (2, 3) , (4, 6) (4, 9)

Now, We know that;

The constant in the graph is find as;

⇒ y / x

⇒ 1.5 / 1

⇒ 1.5

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analyze problem

find apple-cost ratio

8-4

simplify ratio

2-1

find apple amount(given)

9/2=4.5

4.5*1=4.5

Answer:4.5

The confidence interval for the population mean at significance level is

2.724<μ<30.76 .

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Population standard deviation: σ = 0.45

Sample size: n = 25

Sample Mean: x= 2.90

Х=2.90 represent the sample mean for the sample  

μ population mean (variable of interest)

σ = 0.45 represent the population standard deviation

n=25 represent the sample size  

We have the following distribution for the random variable:

X≈N(μ,σ =0.45)

And by the central theorem we know that the distribution for the sample mean is given by:

X≈N( μ, \(\frac{σ}{\sqrt{n} }\))

Since the Confidence is 0.95 or 95%, the value of \(\alpha =0.05\) and\(\frac{\alpha }{2} =0.025\), and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)" and we see that

Z₁ =±1.96

Now we have everything in order to replace into formula:

\(2.90-1.96\frac{0.45}{\sqrt{25} }=2.724\)

\(2.90+1.96\frac{0.45}{\sqrt{25} }=3.076\)

So on this case the 95% confidence interval would be given by (2.724:3.076) .

At a significance level, the population mean's confidence interval is 2.724–30.76.

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Answer:

Step-by-step explanation:

I think it could be D

Sorry if not correct

Answer:

A horizontal translation of 6 units to the right is shown.

Step-by-step explanation:

When a figure moves A units to the right or left, we have a horizontal translation of A units.

In this question:

The graphic moved 6 units to the right. So a horizontal translation of 6 units to the right is shown.

Answer:

the answer is Horizontal.

Step-by-step explanation:

edge 2021-2022

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

1.846=x

Step-by-step explanation:

SO to find X

We know perimeter is 16

So we have all the sides so add them all up

3x+3+8x-5+2(x-3)=16

Now distribute the possible things first

3x+3+8x-5+2x-6=16

Now combine like terms

13x-8=16

add 8 on both sides

13x=24

Since the problem asked for rounded to 3 decimal places

1.846

The cups of giardia-laced lemonade that Wiyot will have sold by the time his parents get a call from county health officials on day 8 is 75 cups.

From the information, Wiyot sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up.

This is an arithmetic sequence and will be expressed as:

= a + (n - 1)d

a = first term = 33

d = common difference = 6

n = 8

This will be:

= a + (n - 1)d

= 33 + (8 - 1)6

= 33 + (7 × 6)

= 33 + 42

= 75

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Answer: Hello! I'm Jungkook. Here is your answer.....

The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5

Step-by-step explanation:

Hope this helps! Anneyong/Bye!

xoxoKookie

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

x=96

Step-by-step explanation:

Since x varies inversely as \(y^{2}\), x*\(y^{2}\) = k

sub x=6, y=8 into x\(y^{2}\) = k  =>  6*64 = k => k= 384

so when y =2, x = 384/ (\(2^{2}\)) = 384/4 = 96

Done :)

5÷6

0.83333333

i think it is helpful for you

please mark me brainliest

Answer:

0.83

Step-by-step explanation:

5:6 alr explain sorry if false

Answer:

\(y = \frac{2}{3} x + 5 \frac{2}{3} \)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

Answer: The percentage change is 56.67%.

Step-by-step explanation:

From 120 meals to 52 meals, change in meals = ( 120- 52) meals

= 68 meals

The percentage change = \(\dfrac{\text{change in meals}}{\text{Original quantity of meals}}\times100\)

\(=\dfrac{68}{120}\times100\\\\=56.67\%\)

Hence, the percentage change is 56.67%.