i am very confused on this question

Area of triangle =1/2 x b x h

where b is the base and h is the height of the triangle

height = 12 mm

base = 18mm + 10mm = 28 mm

substuting into the formula;

Area = 1/2 x 28 x 12

Area = 28 x 6

Area = 168 mm²

Answer:

I(Interest) = $6.25

Step-by-step explanation:

The formula for Simple Interest

A = P(1 + rt)

Where

A = Amount after t years

P = Principal, initial amount invested = $125

r = Interest rate = 2.5%

t = time in years = 2 years

Step I

We the interest rate to a decimal

r = R/100 = 2.5%/100 = 0.025 per year.

Step 2

A = 125(1 + (0.025 × 2))

A = $131.25

The Amount received after 2 years = $131.25

The amount of interest Sarah received after 2 years

I = A - P

I = $131.25 - $125

I = $6.25

Answer:270

Step-by-step explanation:3/5 * 450  reduce the lowest term 3 * 90  calculate first two terms : 270

Answer:

b. 6

Step-by-step explanation:

The standard deviation is 4.53 approximately 5. The standard deviation  tells how far the data is located from the mean.

The total number of observations= 30

So dividing 30/5 gives  6

Hence 6 intervals or categories used to test the hypothesis for this problem

as each category will have a data point in it .

So the best option is b.

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

224

Step-by-step explanation:

360.-136.

Answer: WHAT?!?! what does that mean >3

Answer:

You're so pointless

Step-by-step explanation:

Answer: 3/4 is greater than 8/12.

Step-by-step explanation:

To determine whether 3/4 is greater than 8/12, we can compare the fractions by finding a common denominator and then comparing the numerators.

First, let's find a common denominator for 4 and 12, which is 12. We can convert both fractions to have a denominator of 12:

3/4 = (3/4) * (3/3) = 9/12

8/12 = 8/12

Now we can compare the numerators. Is 9 greater than 8? Yes, 9 is greater than 8.

Therefore, 3/4 is greater than 8/12.

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Here is the code that can be used to find the MLE of M allele in the 206th row of Mourant dataset using the HardyWeinberg package in R:

# Load HardyWeinberg package

library(HardyWeinberg)

# Load Mourant dataset

data(Mourant)

# Extract the genotype counts for the 206th row

counts <- Mourant[206, 2:4]

# Calculate the MLE of M allele frequency

mle <- hw_mle(counts)

# Extract the MLE of M allele frequency

mle_M <- mle$p[2]

Note that the code assumes that the Mourant dataset is already installed and loaded in R. If the dataset is not installed, you can install it by running install.packages("HardyWeinberg") in R.

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Answer:

1.13333333333

Step-by-step explanation:

sorry if it’s wrong!

Answer:

1. A, C

2. A, D

Step-by-step explanation:

The mutually exclusive events are one which cannot happen together. The observation is made regarding with which students live. They live with either one of their biological parent or grandparent. The student have the option to live with two legally married couple this is mutually exclusive event. If the student is living with their one biological parent he cannot live with two legally married parents.

We can conclude that the same ratio of dimes to quarters is not maintained.

Let

x represent the number of dimes

y represent the number of quarters

We know that;

Suri's coin purse

x = 6, y = 4

The ratio of dimes  to quarters is;

x/y = 6/4

For Martha's coin purse

x = 5 and y = 3

The ratio of dimes  to quarters is;

x/y = 5/3

Compare the ratios;

6/4 = 5/3

Cross multiply to get;

18 ≠ 20

Thus, we conclude that the ratios are not equal.

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The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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The correct answer is d. 2x³+5x.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations. It may also include exponents and/or roots.

The correct answer is d. 2x³+5x.

To multiply 2x by (x²+5), we use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Applying this property, we get:

2x * (x² + 5) = 2x * x² + 2x * 5

= 2x³ + 10x

So, the correct expression is 2x³+5x, option d. 2x³+5x. The other options provided are not correct. Option a. 2x³+10x² has an extra term of 10x² which is not present in the original expression. Option b. 2x³+10x has an extra term of 10x which is not present in the original expression. Option c. 2x²+10x has an extra term of 2x² which is not present in the original expression. So, the correct answer is d. 2x³+5x.

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Answer:

dwjoqwejo;fjoqfjop

Step-by-step explanation:

Answer:

I recommend white, If you do a yellow do a light base yellow like Cornsilk, Creamy Corn, or Pale Peach!

Step-by-step explanation:

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

B. (-2, 0)

Step-by-step explanation:

The solution of a system of equations is where the lines intersect.

Hope it helps!

Answer:

6 meters

Step-by-step explanation:

Every 7 floors, it goes up by 22.4 meter intervals.

Let's count down,

the 7th floor would be 50.8 - 22.4, which is 28.4.

the 0th floor would be 28.4 - 22.4, which is 6.

Answer:

6

Step-by-step explanation:

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

$1,136

Step-by-step explanation:

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

The quotient from the division of the two polynomial is x - 2

A polynomial is divided by another polynomial in an arithmetic operation called division, usually with a lower degree than the dividend.

Factor the numerator and denominator.

The numerator can be factored as (x−3)(x−2). The denominator can be factored as (x−3)(x−1).

The steps to do this operation are;

1. Find the common factors in the numerator and denominator.

The common factors are (x−3).

2. Cancel the common factors.

The quotient is x−2.

3. Therefore, the division of x

\(\frac{x^5 - 5x + 6}{x^2 - x + 3(x - 3)} = x - 2\)

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