What is the value of x in the equation below?

Negative 3 minus (negative 8) minus (negative 2) = x

Answer:

y=mx+b

y=4x+1

slope: 4

y-intercept: 1

Step-by-step explanation:

hopefully this helps :)

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Answer:

\(209.43 \: \: {units}^{3} \)

Step-by-step explanation:

\(v = \pi {r}^{2} \frac{h}{3} \\ = \pi \times {5}^{2} \times \frac{8}{3} \\ = 209.439\)

Answer:

  33

Step-by-step explanation:

Let n represent the number. 99 less than 4 times the number is 4n-99. That is equal to the number:

  4n -99 = n

  3n = 99  . . . . . .  add 99-n

  n = 33 . . . . . . . . . divide by 3

The number is 33.

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Step-by-step explanation:

12 / x¹⁴ = 12x⁻¹⁴

Integrate using power rule.

-12/13 x⁻¹³

-12 / (13x¹³)

You forgot the negative sign.

Answer:

Bc is intersected by segment AD

Answer:

Bc is intersected by segment AD

Step-by-step explanation:

The solution for the given expression is 16.

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

First, you apply the Power Rules - Power for  \((\frac{2^2x^2y}{xy^3} )^2}\). For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:\(\frac{16x^4y^2}{x^2y^6}\).

After that, you should apply the  Power Rules - Division . For this rule, you should repeat the base and  subctract the exponents. Thus, the result will be:\(\frac{16x^2}{y^4}\).

Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:\(\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16\)

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The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

7 people

Step-by-step explanation:

Count the x’s that corresponds in the 3 section. Make sure to count next time!

Answer:

15

Step-by-step explanation:

at least means that number or more

Add up the number of x's for 3 and 4

3: 7

4: 8

total : 15

15 people took 3 or more photographs

Answer:

1,2,3

Step-by-step explanation:

Answer:

(-9, -10)

Step-by-step explanation:

-8 - 10 / 2 = -9

-14 - 6/ 2 = -10

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Answer:

The probability that the student answers at least seventeen questions correctly is \(8.03\times 10^{-10}\).

Step-by-step explanation:

Let the random variable X represent the number of correctly answered questions.

It is provided all the questions have five options with only one correct option.

Then the probability of selecting the correct option is,

\(P(X)=p=\frac{1}{5}=0.20\)

There are n = 20 question in the exam.

It is also provided that a student taking the examination answers each of the questions with an independent random guess.

Then the random variable can be modeled by the Binomial distribution with parameters n = 20 and p = 0.20.

The probability mass function of X is:

\(P(X=x)={20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x};\ x =0,1,2,3...\)

Compute the probability that the student answers at least seventeen questions correctly as follows:

\(P(X\geq 17)=P (X=17)+P (X=18)+P (X=19)+P (X=20)\)

\(=\sum\limits^{20}_{x=17}{{20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x}}\\\\=0.00000000077+0.000000000032+0.00000000000084+0.000000000000042\\\\=0.000000000802882\\\\=8.03\times10^{-10}\)

Thus, the probability that the student answers at least seventeen questions correctly is \(8.03\times 10^{-10}\).

Continental glacier ice flows from the region where it is thickest toward the edges where it is thinner. In the central thickest parts, the ice flows almost vertically down toward the base, while at the edges of the glacier, it flows horizontally out toward the margins.

Glaciers generally advanced from the direction where the contour lines on the landforms are closest together (steep slope) toward the direction where the contour lines on the landforms are farther apart (gentle slope).

A continental glacier originating in far Northern Canada began to move South towards the Northeastern United States. The ice sheet crept slowly forward, scraping off the loose rock materials and gouging the bedrock beneath the ice as it advanced.

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Answer:

I think it is D.

Step-by-step explanation:

I multiplied 11x9x9=891

Answer:

Twelve and one fourth feet

Step-by-step explanation:

9 and 3/4 feet =9.75

2 and 2/4 feet =2.50

9.75 + 2.50

= 12.25/12 and 1/4 feet

Answer:

hiiii....

Step-by-step explanation:

b)2and4 only

Answer:

b -31

Step-by-step explanation:

Step-by-step explanation:

hope it helps

Answer:

15

Step-by-step explanation:

m = 5, n = 2, and p = 4

Substituting the values in the equation p(6 – n) – m ÷ 5 ,

4(6-2) - 5/5

4(4) - 1

16 - 1

=> 15

Answer:

58.5 feet you're welcome

30/30, 17/30, 15/30

The total she had at the start was $30 out of her original $30. She spent $17 so she spent $17 of her original $30. 30 ÷ 2 is 15, so 15/30

Answer:

A) 0.2967

B) 0.0747

C) 0.2637

D)0.6933

Step-by-step explanation:

We are told the box contains four 40-watt light bulbs, five 60-watt bulbs, and six 75-watt bulbs.

Thus, total number of bulbs = 4 + 5 + 6 = 15 bulbs

This is a combination problem.

Thus;

A) probability that exactly one of the selected bulbs are rated 75-watt will be = ((6C2) × (9C1))/(15C3)

= (15 × 9)/455

= 0.2967

B) probability that all three of the elected bulbs have the same rating;

Number of ways to select three 40 watt bulbs out of the 4 in the box = 4C1 = 4!/(3! × 1!) = 4

Number of ways to select three 60 watt bulbs out of the 5 in the box = 5C1 =

5!/(3! × 2!) = 10

Number of ways to select 75 watt bulbs out of the 6 in the box = 6C1 = 6!/(3! × 3!) = 20

Total number of ways = 4 + 10 + 20 = 34.

Thus, probability that all three of the elected bulbs have the same rating = 34/15C3 = 34/455

= 0.0747

C) probability that one bulb of each type is selected =

[(4C1) × (5C1) × (6C1)]/(15C3)

= (4 × 5 × 6)/455

= 0.2637

D) probability that at least two of the selected bulbs are rated 75-watt =

[(4C1 × 5C1 × 6C2)/15C3] + 6C3/15C3

= (4 × 5 × 15/455) + 20/455

= 0.6493 + 0.044

= 0.6933

Answer:

\(y - 60 = 72(x-2)\)

Step-by-step explanation:

We need slope, an x coordinate, and a y coordinate for a tangent line.

Slope: f'(x) will give us the slope, so f'(2) = m = 9(2)\(\sqrt{3(2)^2 +4}\) = 18(\(\sqrt{16}\)) = 18(4) = 72

X coordinate: 2, given by the question.

Y coordinate: For the Y coordinate, we need to find f(2). To find f(x), we will use integration by substitution \(u = 3x^2\)      \(du =6x dx\)

\(\int\ {\frac{9}{6}\sqrt{u} } \, du\)

Apply Linearity

\(\frac{3}{2} \int\sqrt{u} } \, du\)

Integrate

\(u^{\frac{3}{2}} + C\)

Undo substitution

\((\sqrt{3x^2 + 4^}})^3 + C\)

Plug in x = 0 and solve for C

\(4 =\sqrt{(3(0)^2 + 4)^3} + C \\4 = \sqrt{64} + C\\4 = 8 + C\\C = -4\)

Now solve for f(2)

\((\sqrt{3(2)^2 + 4^}})^3 - 4\)

\((\sqrt{16}})^3 - 4\\64 - 4\\60\)

Fill in point slope form

\(y - 60 = 72(x-2)\)