7 wholes and 3/8 times 1 whole and 1/2

Answer:

Answer:

The construct a line through P that is  perpendicular to the line.

Step-by-step explanation:

Given that,

Construct a line through P that is  perpendicular to the line.

We need to construct a perpendicular line P

Using given data

We draw an arc across the line on each side of the point P.

Now, from each arc on the line, draw another arc on the opposite side of the line from the point P.

The  point P to the point where the arcs intersect Q.

Hence, The construct a line through P that is  perpendicular to the line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A) solve for x = 6 -y

solve for y = 6 - x

B) solve for x = 20 - y

solve for y = 20 -x

Answer:

true

Step-by-step explanation:

true

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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When given Hop -0.85 and a -0.10, the level of confidence that should be used to test the claim is D) 95%. Explanation: IN hypothesis testing, the level of confidence refers to the percentage of all possible samples that can be expected to include the true population parameter.

It is written in percentage form, and common choices for the level of confidence include 90%, 95%, and 99%.For example, if we want to construct a 95% confidence interval for a population mean, this means that if we were to construct 100 different 95% confidence intervals using 100 different samples, then 95 of those intervals should contain the true population mean.

The appropriate level of confidence to use is the one that will allow the rejection of the null hypothesis if the sample statistics are unlikely to have occurred by chance. Thus, the level of confidence that is appropriate for testing the claim is 95%.

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Answer:

7 pounds

Step-by-step explanation:

3.5×8=28 pounds

35-28=7 pounds

so 7 pounds will b left

Answer:

the perimeter of thr outer breath is 34

Answer: None of them

Step-by-step explanation:

Absolute value is the distance of that number to zero.

Absolute value is always positive, as distance cannot be negative

The distance of -13 to 0 is 13

The distance of 13 to 0 is 13

The absolute values are the same

Neither 13 or -13 has a greater absolute value

Hope it helps!

(Brainliest plzz)

To find inflection points from the second derivative, follow these steps  Calculate the second derivative of the function.  Set the second derivative equal to zero and solve for the critical points.Determine the sign changes of the second derivative around each critical point. Identify the intervals where the sign changes occur.

Analyze the behavior of the function within each interval to determine the presence of inflection points. To understand the process more thoroughly, start by calculating the second derivative of the function. This can be done by differentiating the function twice with respect to the independent variable. Next, find the critical points by setting the second derivative equal to zero and solving the resulting equation. Once you have the critical points, examine the sign changes of the second derivative around each point.

A change from positive to negative or vice versa indicates a potential inflection point. Finally, analyze the behavior of the function within each interval to confirm the presence of inflection points. Keep in mind that not all critical points will correspond to inflection points, so it is essential to consider the behavior of the function in each interval.

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The perimeter of the rectangle is approximately 208.9 meters.

To find the perimeter of the rectangle, we need to know the length of the other side.

Let's use the formula for the area of a rectangle:

area = length x width

We know that the area is 717.8 m^2 and one of the sides (width) is 7.4 m. So we can rearrange the formula to solve for the length:

length = area / width

length = 717.8 / 7.4

length ≈ 97.05 m

Now we have both the length and width of the rectangle, so we can find the perimeter:

perimeter = 2 x (length + width)

perimeter = 2 x (97.05 + 7.4)

perimeter = 2 x 104.45

perimeter = 208.9 m

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We can use the inverse normal distribution function to find the z-score corresponding to the desired percentile, and then use the formula for standardizing a normal variable to find the corresponding raw score.

The score that separates the top 53% from the bottom 47% on an English test with a normal distribution, mean of 37.6, and standard deviation of 7.6 can be found using the inverse normal distribution function.

We need to find the z-score that corresponds to the 53rd percentile. We can do this using a standard normal distribution table or a calculator. The z-score corresponding to the 53rd percentile is approximately 0.07.

We can use the formula for standardizing a normal variable to find the corresponding raw score: z = (X - mean) / standard deviation Rearranging this formula, we get: X = z * standard deviation + mean

Plugging in the values we have: X = 0.07 * 7.6 + 37.6 X ≈ 38.2 A score of approximately 38.2 separates the top 53% from the bottom 47% on this English test.

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Answer:

0.05

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

0.05

The number of student like at least one kind of ice cream is given by (d) 275.

Let C be the student who like chocolate ice cream and P be the student who like Pistachio ice cream.

Now given that, n(C) = 145, n(P) = 150

Also given that, 123 students do not like neither chocolate or pistachio ice cream.

So, n(P' and C') = 123

The required number of student like at least one kind of ice cream is given by,

N = 398 - n(P' and C') = 398-123 = 275

Hence the correct option is (d).

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The z-score of the datum 75.4 is approximately -1.31. Option b is the correct answer.

To calculate the z-score of the datum 75.4, we can use the formula: z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation. Given that μ = 78.2 and σ = 2.13, we can substitute these values into the formula:

z = (75.4 - 78.2) / 2.13

Calculating this expression, we get:

z ≈ -1.31

Therefore, the z-score is approximately -1.31. Hence, option b is the correct naswer.

The z-score is a measure of how many standard deviations a particular data point is away from the mean. To calculate the z-score, we subtract the mean from the data point and divide the result by the standard deviation. In this case, the mean (μ) is 78.2 and the standard deviation (σ) is 2.13. By substituting these values into the z-score formula and performing the calculation, we find that the z-score for the datum 75.4 is approximately -1.31. This negative value indicates that the datum is about 1.31 standard deviations below the mean.

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Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.

It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:

1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).

2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.

3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.

4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.

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The characteristic that does not apply to a theoretical normal distribution is C) It is bimodal.

The main answer is C. An explanation for this is that a normal distribution has a single peak at the mean, and as we move away from the mean in either direction, the frequency of occurrence decreases.

Therefore, a normal distribution can never have two distinct peaks, making it impossible for it to be bimodal. All other options are characteristics of a normal distribution. In conclusion, a theoretical normal distribution is never negative, bell-shaped, and has equal mean, median, and mode, but it is not bimodal.

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A boolean expression can have one of the two values, true or false and is often used in if statements.

Given: To identify what is used in if statements that has either of the two values, true or false.

What are boolean expressions?

Boolean expressions are logical statements that can either be true or false.

Boolean expressions are used to compare different values which are of the same domain and to verify if the condition of comparison is true or false.

For example: 4 > 5 , is this statement true? With the help of boolean variables "true" and "false" we can say that 4 > 5 is "false"

NOTE: There are two boolean variables : TRUE and FALSE

The boolean value TRUE is equivalent to 1 in the integer domain.

The boolean value FALSE is equivalent to 0 in the integer domain.

The common operators that are often used in boolean expressions are OR, AND and NOT.

For example: 7 > 6 OR 0 < 90

Now 7 > 6 is TRUE, also 0 < 90 is TRUE

So, TRUE OR TRUE gives TRUE

Hence 7 > 6 OR 0 < 90 is TRUE, the condition is verified.

The "if" statement is a conditional statement in programming which when TRUE performs certain given information and if FALSE it either terminates or performs some other statements that may be defined in the else or the FALSE part.

"if" statements works on boolean values TRUE and FALSE.

It's like IF this is TRUE do this or ELSE do that.

The structure of if statement is:

if <condition>

    //statements [executed if condition is TRUE]

else

    //statements [executed if condition is FALSE]

Hence a boolean expression can have one of the two values, true or false and is often used in if statements

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A Boolean expression can have one of the two values, true or false and is often used in if statements.

We are given a statement about an expression which can have the values as true or false and is mostly used in the if statements.

We need to identify the expression that they are talking about.

We get that, they are talking about the Boolean expression as it is the only expression that has the values as True or False and is often used in the if statements to know whether those statements are correct or not.

Therefore, a Boolean expression can have one of the two values, true or false and is often used in if statements.

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Answer:

64

Step-by-step explanation:

4*2 is 8

Multiply 8*8

Answer:

the answer is 64

Step-by-step explanation:

8(4*2)

=8*8

=64

Answer:

$ 84.50

Step-by-step explanation:

Regular price = $130

Discount = 35% of 130

               = \(\frac{35}{100}*130\)

              = 0.35 * 130

             = $ 45.50

Price of the sunglasses after discount = Regular price - discount

                                                               = 130 - 45.50

                                                              = $ 84.50

The least number of people we need to select so that the probability is at least 0.6 that at least one person shares our birthday is 24 people.

(a) An expression in terms of n for the probability that no one shares your birthday is given by;P(A)

= (365/365) * (364/365) * (363/365) *.... * ((365 - n + 1)/365)

= (365 * 364 * 363 * ... * (365 - n + 1))/(365)^n(b) Here, we are supposed to determine the least number of people we need to select so that the probability is at least 0.6 that at least one person shares our birthday. This is the of the probability that no one shares our birthday, i.e.,1 - P(A) ≥ 0.6 P(A) ≤ 0.4We know that, P(A)

= (365/365) * complement (364/365) * (363/365) *.... * ((365 - n + 1)/365)We can then use trial and error method or any numerical method to find the value of n such that P(A) ≤ 0.4We can use a spreadsheet, a calculator, or a software like R to carry out this calculation.Using R, we can run the following command to get the least value of n that satisfies the condition;> n

= 1while(prod((365 - (0:(n-1)))/365) > 0.4){n

= n + 1} > n [1] 24.The least number of people we need to select so that the probability is at least 0.6 that at least one person shares our birthday is 24 people.

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Answer:

(7/2, 1/2)

Step-by-step explanation:

Midpoint Formula: ((x_1 + x_2) / 2, (y_1 + y_2) / 2)

((5+2) / 2, (-8 + 9) / 2)

(7/2, 1/2)

Answer:

(-1.5/17)

Step-by-step explanation:

The hypotenuse - leg congruency can be applied in both right triangles.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent by RHS rule.

In other words, if the hypotenuse and a leg of a right triangle are each congruent with the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

Hence, the legs of the right triangle are congruent and one of the legs are congruent.

Therefore, the hypotenuse - leg congruency can be applied.

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Answer:

c

Step-by-step explanation:

Answer:

C. 4x+1

Step-by-step explanation:

The probability the chosen volunteer does not possess yq 77 is 0.655 (nearest to three decimal places).

Given information: One of the volunteers whose sam 77 test result was positive will be chosen at random.

To find: The probability the chosen volunteer does not possess yq 77.

Let P(Y) be the probability that a volunteer possesses yq77 and P(Y') be the probability that a volunteer does not possess yq77. It is given that out of 150 volunteers, 77 tested positive for SAM.

Therefore, the probability of testing positive for SAM is:

P(SAM) = number of volunteers who tested positive for SAM / total number of volunteers= 77/150

Now, using the probability law of total probability, we can find the probability of a volunteer not possessing yq77, as follows:

P(Y') = P(Y'|SAM) P(SAM) + P(Y'|SAM') P(SAM')

It is given that yq77 is found in 60% of volunteers who tested positive for SAM, and in 30% of those who did not test positive for SAM.

Therefore:

P(Y'|SAM) = 0.6, P(Y'|SAM') = 0.3

Now, substituting the given values in the equation,

P(Y') = (0.6 × 77/150) + (0.3 × 73/150)≈ 0.655

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Answer:

0 < y <= 6

Step-by-step explanation:

Given:

√(x² - 6x + 9)

if -3 <= x < 3

you can write (x² - 6x + 9)

as (x-3) * (x- 3) which is (x-3)²

so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:

| x - 3 |

So √(x² - 6x + 9) = | x - 3 |

See the graph in the attachment.

for -3 <= x < 3

you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.

This is written as 0 < y <= 6

Answer:

x-3

Step-by-step explanation:

\(\sqrt{x^2 -x+9\\\)

First rewrite 9 as 3^2 so... \(\sqrt{x^2 -6x+3^2}\)

Next multiply the equation by 2ab so... 2ab =  2 · x · -3

Simplify so... 2ab = -6x

Then use the Perfect Square Trinomial rule: a^2 - 2ab + b^2 = (a-b)^2

so.. a = x and b = -3 to look like this: \(\sqrt(x- 3^2)\)

And then finally pull out terms under the radical to get...

x-3

The running rate is 5 miles per hour.Let's denote the running rate as "r" and the driving rate as "9r" (since the driving rate is nine times the running rate).

To find the running rate, we need to determine the time spent driving and running separately and then add them together to equal 3 hours.

The time spent running can be calculated as the distance divided by the running rate:

Time running = Distance / Running rate = 5 / r

The time spent driving can be calculated similarly:

Time driving = Distance / Driving rate = 90 / (9r) = 10 / r

The total time spent driving and running is given as 3 hours:

Time running + Time driving = 3

5 / r + 10 / r = 3

To solve this equation, we can combine the fractions on the left side:

(5 + 10) / r = 3

15 / r = 3

Next, we can cross-multiply to isolate the variable:

15 = 3r

Dividing both sides by 3, we find:

r = 5

Therefore, the running rate is 5 miles per hour.

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The charge for the t-shirt earlier than the cut price of 25 percent is $20.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, the 25% discount, the price of a t-shirt was 15$.

Since, After 25% discount price of t-shirt = 15

Thus

Original price of t-shirt = 15 * 100/75

Original price of t-shirt = 20

Therefore, the price before the discount of 25 percent is $20.

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