Help Plz you awesome 69 points btw

Answer:

(143 ; 227)

Step-by-step explanation:

Mean , m = 185

Standard deviation, s = 14

Interval that would represent the middle 99.7%

According to the empirical rule, 99.7% represents 3 standard deviation from the mean

Mean ± 3(standard deviations)

185 - 3(14) = 185 - 42 = 143

185 + 3(14) = 185 + 42 = 227

Answer:

the answer is 8

Step-by-step explanation:

False. The expression \((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

The expression\((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

To simplify \((3ab - 6a)^2\), we need to apply the exponent of 2 to the entire expression. This means we have to multiply the expression by itself.

\((3ab - 6a)^2 = (3ab - 6a)(3ab - 6a)\)

Using the distributive property, we can expand this expression:

\((3ab - 6a)(3ab - 6a) = 9a^2b^2 - 18ab^2a + 18a^2b - 36a^2\)

Simplifying further, we can combine like terms:

\(9a^2b^2 - 18ab^2a + 18a^2b - 36a^2 = 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\)

The correct simplified form of \((3ab - 6a)^2 is 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\).

The statement that\((3ab - 6a)^2\) is the same as 2(3ab - 6a) is false.

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Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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The area of the window is 305.12 square inches.

given that

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.

The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

now, find the area of rectangle

A = length x breadth

A = 12 x (26-4)

A = 12 x 22

A = 264 square inches

find the area of the two quarter circle

\( A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} \)

Find the area of the smaller square between the two upper corners

A = (12-8) (4)

A = 4 x 4

A = 16 sq.in

now, find the total area

A = 264 + 25.12 + 16

A = 305.12 square inches

Hence, the area of the window is 305.12 square inches.

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Yes, all requirements have been satisfied for drawing conclusions from statistics. would note a reduction in stress. whether the prerequisites for inference are present.

It is common practice to start with a statistical population or a statistical model that needs to be investigated when applying statistics to a problem in science, business, or society. The field of statistics is concerned with the collection, arrangement, organization, analysis, interpretation, and presentation of data.

The conditions for making judgments about a single proportion are Random: A random experiment or sample must have produced the data. For the sample distribution of pp with hat on top to be considered normal, there must be nearly equal numbers of expected successes and failures.

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Answer:

The perimeter of the triangle is approximately equal to 18

Step-by-step explanation:

The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)

The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

The lengths of the segments that make up the triangle are therefore;

Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41

Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73

Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10

Therefore;

The perimeter of the triangle = The sum of the lengths of the sides of the triangle =  √41 + √73 + √10

The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094

∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

First, complete the square in the equation for the second circle to determine its center and radius:

x ² - 10x + y ² = 0

x ² - 10x + 25 + y ² = 25

(x - 5)² + y ² = 5²

So the second circle is centered at (5, 0) with radius 5, while the first circle is centered at the origin with radius √100 = 10.

Now convert each equation into polar coordinates, using

x = r cos(θ)

y = r sin(θ)

Then

x ² + y ² = 100   →   r ² = 100   →   r = 10

x ² - 10x + y ² = 0   →   r ² - 10 r cos(θ) = 0   →   r = 10 cos(θ)

y = 5   →   r sin(θ) = 5   →   r = 5 csc(θ)

See the attached graphic for a plot of the circles and line as well as the bounded region between them. The second circle is tangent to the larger one at the point (10, 0), and is also tangent to y = 5 at the point (0, 5).

Split up the region at 3 angles θ₁, θ₂, and θ₃, which denote the angles θ at which the curves intersect. They are

θ₁ = 0 … … … by solving 10 = 10 cos(θ)

θ₂ = π/6 … … by solving 10 = 5 csc(θ)

θ₃ = 5π/6  … the second solution to 10 = 5 csc(θ)

Then the area of the region is given by a sum of integrals:

\(\displaystyle \frac12\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}\left(10^2-(10\cos(\theta))^2\right)\,\mathrm d\theta+\int_{\frac\pi6}^{\frac{5\pi}6}\left((5\csc(\theta))^2-(10\cos(\theta))^2\right)\,\mathrm d\theta\right)\)

\(=\displaystyle 50\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\} \sin^2(\theta)\,\mathrm d\theta+\frac12\int_{\frac\pi6}^{\frac{5\pi}6}\left(25\csc^2(\theta) - 100\cos^2(\theta)\right)\,\mathrm d\theta\)

To compute the integrals, use the following identities:

sin²(θ) = (1 - cos(2θ)) / 2

cos²(θ) = (1 + cos(2θ)) / 2

and recall that

d(cot(θ))/dθ = -csc²(θ)

You should end up with an area of

\(=\displaystyle25\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}(1-\cos(2\theta))\,\mathrm d\theta-\int_{\frac\pi6}^{\frac{5\pi}6}(1+\cos(2\theta))\,\mathrm d\theta\right)+\frac{25}2\int_{\frac\pi6}^{\frac{5\pi}6}\csc^2(\theta)\,\mathrm d\theta\)

\(=\boxed{25\sqrt3+\dfrac{125\pi}3}\)

We can verify this geometrically:

• the area of the larger circle is 100π

• the area of the smaller circle is 25π

• the area of the circular segment, i.e. the part of the larger circle that is bounded below by the line y = 5, has area 100π/3 - 25√3

Hence the area of the region of interest is

100π - 25π - (100π/3 - 25√3) = 125π/3 + 25√3

as expected.

The source of internal invalidity reflected in this example is experimental mortality, as the drop in sample size due to soldiers being reassigned to different stations across the U.S. can lead to a decrease in statistical power and increased risk of bias in the results.

This example reflects the source of internal invalidity known as c) experimental mortality. Experimental mortality refers to the loss of participants during an experiment, which may cause issues with the overall validity of the results. In this case, the reassignment of soldiers to different stations across the U.S. caused the sample size to drop, potentially affecting the outcome of the study on the effect of group size on group morale.

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Isa took 4 hour when  isa go from UK to USA and took 14 hour when she returns and time difference will be 10 hours

What is a definition distance?

the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness

when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time.

so isa took 4 hour

on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day

isa tool 14 hour

find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited

length of flight is 18 hour

time difference will be 14-4 = 10 hour

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Answer:

She will be needing 300 square inches of paper

length=14inches

breadth=3inches

height=6inches

TSA= 2(lb+lh+bh)

=2(14×3+14×6+3×6)

=2(42+84+24)

=2×150

=300 square inches

Answer:

69,420

Step-by-step explanation:

69,420 sq ft of decorative paper

The standard deviation of the critical path is 6.

To calculate the standard deviation of the critical path, we need to use the concept of variance and consider the activities on the critical path.

The variance of a project or critical path is the sum of the variances of the activities on that path.

Since the variances are given as the squares of the standard deviations, we can square the standard deviations of each activity and sum them to find the variance of the critical path. Finally, we take the square root of the variance to obtain the standard deviation.

Given the standard deviations of the activities on the critical path:

Activity 1: Standard deviation = 1 day

Activity 2: Standard deviation = 3 days

Activity 3: Standard deviation = 1 day

Activity 4: Standard deviation = 4 days

Activity 5: Standard deviation = 3 days

Calculating the variance of the critical path:

Variance = (1^2) + (3^2) + (1^2) + (4^2) + (3^2) = 1 + 9 + 1 + 16 + 9 = 36

Taking the square root of the variance, we find the standard deviation of the critical path:

Standard deviation = √(36) = 6

Therefore, the standard deviation of the critical path is 6.

The correct choice is A. 6.

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True. In 2014, approximately 44 percent of u.s. residents used marijuana sometime during their lifetime.

The explanation "in 2014, around 44 percent of U.S. inhabitants utilized cannabis at some point amid their lifetime" is alluding to information from the National Study on Medicate Utilize and Wellbeing (NSDUH) conducted in 2014 by the Substance Mishandle and Mental Wellbeing Administrations Organization (SAMHSA).

Agreeing to the 2014 NSDUH report, around 44% of people who matured 12 years or more seasoned within the Joined together States had utilized cannabis at slightest once in their lifetime. This percentage compares to roughly 109 million individuals within the Joined together States. The report moreover found that approximately 7.4% of people matured 12 a long time or more seasoned had utilized marijuana.

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Answer:

i dont see a question, sorry

Carrie will arrive at home at 4:02 PM on the same day she leaves.

To determine the time Carrie will arrive, we need to add the number of minutes it takes her to get home to her departure time.

Carrie leaves for home at 1:32 PM. To convert this time to minutes, we multiply the hours (1) by 60 and add the minutes (32). This gives us a total of 92 minutes.

Next, we add the 58,858 minutes it takes Carrie to get home to the departure time of 92 minutes:

92 minutes + 58,858 minutes = 58,950 minutes.

Now, we need to convert the total minutes back to hours and minutes. Since there are 60 minutes in an hour, we divide 58,950 by 60:

58,950 minutes ÷ 60 = 982.5 hours.

The decimal part represents the remaining minutes. To convert this decimal to minutes, we multiply it by 60:

0.5 (decimal part) × 60 = 30 minutes.

Therefore, Carrie will arrive at 982 hours and 30 minutes after her departure time.

To convert this back to a 12-hour clock format, we divide 982 by 12, which gives us a quotient of 81 with a remainder of 2. This means Carrie will arrive 81 days after her departure time, with an additional 2 hours and 30 minutes.

As for the exact time she will arrive on the day she leaves, we need to add the 2 hours and 30 minutes to her departure time:

1:32 PM + 2 hours and 30 minutes = 3:62 PM.

However, since we are using a 12-hour clock format, we need to adjust the time to the correct format:

3:62 PM can be rewritten as 4:02 PM.

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Answer:

A. 4 root 3

Step-by-step explanation:

Answer:

2 because the initial value is y-intercept

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

Answer:

(6x2-5)(x2+2)

Step-by-step explanation:

6x⁴-5x²+12x²-10

collect the like terms

(6x⁴+12x²)-(5x²-10)

6x²(x²+2)-5(x²+2)

(6x²-5)(x²+2)

Answer:

f(3) = 2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4/5x - 2

f(3) is x = 3

Step 2: Evaluate

Answer: 2/5

Step-by-step explanation:

We need to replace x with 3

f(x)= 4/5*(3)-2= (12/5)-2=(12-10)/5= 2/5

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

Answer:

40 minutes

Step-by-step explanation:

rate = distance/time = miles/hr

rate = 240 mi/2 hr = 120 mi/hr

time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes

(0.67 hr)(60 min/hr) = 40 minutes

The equation d=65t models the distance, d, that Malcolm's family travels after t hours. Malcolm's family travels 65 miles per hour faster than Theo's family.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours. To calculate how much faster Malcolm's family travels than Theo's family, we must first know the speed of Theo's family. Let's say Theo's family travels at 25 miles per hour. To calculate the difference in speed between the two families, we must subtract 25 mph from 65 mph. The difference is then 40 mph, meaning Malcolm's family travels 40 mph faster than Theo's family.

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Answer:

8.. answer 31/8 = 3 7/8

9 ... answer : 189/15 = 12 9/12

10 answer : 43/12 = 3 7/12

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Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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Answer:

4 ounces

Step-by-step explanation:

I'm assuming when it says: \(33\frac{1}{3}%\)% it means 33.3333333333 instead of 33/3.

Anyways under that assumption, we currently have 20 ounces in the grape juice, since 4 ounces is grape juice concentrate and 16 ounces is water. So currently let's just say that the total amount of grape juice concentrate is going to be: \((4+x)\) where x is the amount of grape juice concentrate you need to add to make it 33.33%. The next thing to know is how to calculate how much percent a is of b. This can be calculated using the equation: \(\frac{a}{b}*100\). So in this case the a is going to be the grape juice concentrate, and the b is going to be the entire mixture (water and grape juice). Since the concentrate is having x added to it, that means the entire thing is also having x added to it. This means we have the equation: \(\frac{4+x}{20+x} * 100\), since we already have 4 ounces of grape juice concentrate, and we already have 20 ounces in total (16 ounces of water + 4 ounces of grape juice). This is going to be equal to 33.33%, or in other words 33 1/3. So to make this a bit easier, I'm going to convert this mixed fraction into one fraction, this gives you the fraction: \(\frac{100}{3}\). So now that's all left to do is set these two expressions equal to each other and solve for x

Original equation

\(\frac{4+x}{20+x}*100=\frac{100}{3}\)

Divide both sides by 100

\(\frac{4+x}{20+x}=\frac{100}{3}\div 100\)

Keep fraction, change division to multiplication, flip 100

\(\frac{4+x}{20+x}=\frac{100}{3}* \frac{1}{100}\)

The 100 in the numerator will cancel out the one in the denominator

\(\frac{4+x}{20+x}=\frac{1}{3}\)

Multiply both sides by 20+x

\(4+x=\frac{20+x}{3}\)

Multiply both sides by 3

\(3(4+x)=20+x\)

Distribute the 3

\(12+3x=20+x\)

Subtract x from both sides

\(12+2x=20\)

Subtract 12 from both sides

\(2x=8\)

Divide both sides by 2

\(x=4\)

So Kahn needs to pour 4 more ounces of grape juice, to double check this, since the mixture already has 4 ounces of grape juice, this means the final mixture will have a total of 8 ounces of grape juice concentrate, and a total of 24 ounces, since it already had 16 ounces of water, and 4 ounces of grape juice and now there is 4 more ounces of grape juice being added, so a total of 24 ounces. this means that 8/24 will be grape juice concentrate or in other words: \(\frac{1}{3}\) and when you multiply this by 100 (to convert to percent), you get 100/3 or 33 1/3%