Can somebody please solve this problem. I need help

The probability of x being greater than 18 (p(x > 18)) is equal to the probability of x being less than 18 (p(x < 18)) in a normal distribution.

In a normal distribution, the probability of an event happening to the left of the mean (μ) is equal to the probability of the event happening to the right of the mean. This means that if we know the probability of x being less than 18 (p(x < 18)), we can use the property of symmetry to determine the probability of x being greater than 18 (p(x > 18)).

Since the probability distribution of x is symmetric around the mean, the area under the probability density function (PDF) to the left of the mean is the same as the area to the right of the mean. Therefore, we can say:

p(x > 18) = p(x < 18)

In other words, the probability of x being greater than 18 is equal to the probability of x being less than 18 in a normal distribution.

To know more about probability,

https://brainly.com/question/32681133

#SPJ11

Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

More can be learned about inferential statistics at brainly.com/question/13852073

#SPJ9

The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.

The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.

In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.

Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.

Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:

10 adenine (A) nucleotides (abbreviated as 10a)

15 thymine (T) nucleotides (abbreviated as 15t)

3 guanine (G) nucleotides (abbreviated as 3g)

7 cytosine (C) nucleotides (abbreviated as 7c)

Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.

Know more about DNA here:

https://brainly.com/question/16099437

#SPJ11

Answer:  The middle school has 652 students.

Step-by-step explanation:  Divide the number of student in the high school by 4.5

\(\frac{2934}{4.5}\) = 652

Answer:

Step-by-step explanation:

-10.9p + 3.9

-10.9p turns positive.

The (p) is isolated.

10.9 - 3.9= 9.18 = -9.18

Answer

-9.18

ANSWER:

STEP-BY-STEP EXPLANATION:

We have to rule for reflection about the line y = x is:

Therefore:

There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.

A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.

However, today, the percentage is higher.

A research group conducted a study to find out whether the statement was true.

They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.

Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05

At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.

Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).

H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).

Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).

It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.

Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).

The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.

The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.

Since the p-value was greater than 0.05, we failed to reject the null hypothesis.

For similar question on percentage.

https://brainly.com/question/24304697

#SPJ11

To find a recursive Nevill's method when interpolating a table using a polynomial at x = 4.1, we can use the following steps:

Step 1: Set up the given data in a table with two columns, one for f(x) and the other for x.

f(x)             x

36               1.16164956

3.80201036       4.0

0.30663842       4.2

0.35916618       -123926000.4

Step 2: Begin by finding the first-order differences in the f(x) column. Subtract each successive value from the previous value.

Δf(x)            x

-32.19798964     1.16164956

-3.49537194      4.0

-0.05247276      4.2

Step 3: Repeat the process of finding differences until we reach a single value in the Δf(x) column. Continue subtracting each successive value from the previous one.

Δ^2f(x)          x

29.7026177       1.16164956

3.44289918       4.0

Step 4: Repeat Step 3 until we obtain a single value.

Δ^3f(x)          x

-26.25971852     1.16164956

Step 5: Calculate the divided differences using the values obtained in the previous steps.

Divided Differences:

Df(x)             x

36                1.16164956

-32.19798964     4.0

29.7026177       4.2

-26.25971852     -123926000.4

Step 6: Apply the recursive Nevill's method to find the interpolated value at x = 4.1 using the divided differences.

f(4.1) = 36 + (-32.19798964)(4.1 - 1.16164956) + (29.7026177)(4.1 - 1.16164956)(4.1 - 4.0) + (-26.25971852)(4.1 - 1.16164956)(4.1 - 4.0)(4.1 - 4.2)

Solving the above expression will give the interpolated value at x = 4.1.

Q2: To construct an approximation polynomial using the Hermite method, we follow these steps:

Step 1: Set up the given data in a table with three columns: f(x), f'(x), and x.

f(x)             f'(x)              x

2.572152         7.615964          1.2

3.602102         13.97514          1.3

5.797884         34.61546          1.4

14.101442        199.500           1.5

Step 2: Calculate the divided differences for the f(x) and f'(x) columns separately.

Divided Differences for f(x):

Df(x)            \(D^2\)f(x)           \(D^3\)f(x)

2.572152         0.51595           0.25838

Divided Differences for f'(x):

Df'(x)           \(D^2\)f'(x)

7.615964         2.852176

Step 3: Apply the Hermite interpolation formula to construct the approximation polynomial.

Learn more about polynomial here:

https://brainly.com/question/11536910

#SPJ11

Using proportions, it is found that Diego traveled 15 miles in the cross-town cab ride.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, for the miles traveled, Diego paid 18.50 - 2.25 = $16.25. Considering the fee of $1.25 per mile, the distance he traveled is given by:

d = 16.25/1.25 = 15.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

to find an area of a parallelogram, you have to multiply the width by height. to do the opposite, simply divide 42 to 6 to get 7

Answer:

3.27

Step-by-step explanation:

Hope it helps!!!

The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

Learn more about "interest rate":

https://brainly.com/question/25720319

#SPJ11

Answer:

Range

Step-by-step explanation:

To obtain the difference between two extreme values (peak or highest and the bottom or lowest) value of a distribution, the statistical measure which best captures this differ ce is the RANGE. As the range is specifically used for determining the variation between the highest and lowest value of dataset.

The range is defined Mathematically as ;

Range = Maximum value - Minimum value

Hence. To obtain the difference between the maximum and least number of votes, the range is the best measure to use.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

Learn more about hypothesis testing here: brainly.com/question/17099835

#SPJ11

Answer:

We can write 360 distinct passwords using the numbers 1, 2, 3, 4, 5, and 6.

Step-by-step explanation:

We have to find how many passwords with 4 different digits can we write with the numbers 1, 2, 3, 4, 5, and 6.

Firstly, it must be known here that to calculate the above situation we have to use Permutation and not combination because here the order of the numbers in a password matter.

Since we are given six numbers (1, 2, 3, 4, 5, and 6) and have to make 4 different digits passwords.

So, the number of passwords with 4 different digits we can write = \(6 \times 5 \times 4 \times 3\)  = 360 possibilities.

Hence, we can write 360 distinct passwords using the numbers 1, 2, 3, 4, 5, and 6.

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

For more such questions on perpendicular

https://brainly.com/question/1202004

#SPJ8

Answer:

Infinite Solutions

Step-by-step explanation:

If its the same line then any point is a viable answer

Answer:

Hey there!

\(8x^3+2x^2-20x-5\)

\((8x^3+2x^2)+(-20x-5)\)

\(2x^2(4x+1)+(-5)(4x+1)\)

\((2x^2-5)(4x+1)\)

Let me know if this helps :)

The solution of the expression are,

⇒ (4x + 1) (2x² - 5)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 8x³ + 2x² - 20x - 5

Now, We can simplify as;

⇒ 8x³ + 2x² - 20x - 5

⇒ (8x³ + 2x² )  + (- 20x - 5)

⇒ 2x² (4x + 1) - 5 (4x + 1)

⇒ (4x + 1) (2x² - 5)

Thus, The solution of the expression are,

⇒ (4x + 1) (2x² - 5)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

The given equation is:  E=17/20 D  , where  E=amount of Euros and D= amount of U.S dollar.

Now for 1 U.S dollar, we need to plug D=1 into the above equation. So, we will get.........

E=17/20(1)

E=1/20=0.85

0.85 Euros have the same amount as 1 U.S dollar.

Answer:

10% chance

Step-by-step explanation:

Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. \(\frac{13 * 4}{25 * 4}\)

step 3: we get \(\frac{52}{100}\)

step 4: now we can easily write the decimal fraction. ie. 0.52

Learn more about this here: https://brainly.com/question/24015674?referrer=searchResults

Answer:

C. aₙ = 7 + (n-1)(-4)

Step-by-step explanation:

a₁ =7     a₂ = 7-4 = 3       a₃ = 3 - 4 = 7-4 -4 = 7- 4* ( 3-1) = -1

aₙ = 7 + (n-1)(-4)

Answer:

The only number prime is 43

Step-by-step explanation:

The amount of change that Hser should have received would be = $7.5. That is option C.

Cost price is defined as the amount of money that is used to purchase a particular product by an individual.

The amount of fabric that was bought by Hser = 10 foot

The cost of fabric per foot = $1.25

The cost for the 10 foot fabric= 10 × 1.25 = $12.5

The total cost of bill paid by Hser = $20

The amount that Hser would receive as balance ;

= 20 - 12.5

= $7.5

Learn more about cost price here:

https://brainly.com/question/25491204

#SPJ1

Answer:

64 m3

Step-by-step explanation:

Just need to divide it

Answer:

796p

Step-by-step explanation:

If three cartens come in a sigle packege you see how many cartons you need so that would 26/3 wich is some what 8, so you do 90*8 to see how much you'ev spent so far. Now you know that you have 24 cartons so far because you multiply 3 and 8. Lastly, you just add 76 because you need two more cartons. :)

The possible number of cupcakes is less than or equal to 23

let

The inequality:

2k ≤ 46

divide both sides by 2

k ≤ 46 / 2

k ≤ 23

Therefore, the possible number of cupcakes is less than or equal to 23

Learn more about inequality:

https://brainly.com/question/25275758

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

To know more about mathematical operations visit:
https://brainly.com/question/8959976

#SPJ9