Use the diagram to estimate the perimeter, rounding each number to the nearest hundred.

Answer:

Question 3

d. No, because the  TV is too tall

Question 4

b. 77

Step-by-step explanation:

Question 3

The TV diagonal is 80"

Let W be the width of the TV, H the height

Because the aspect ratio W/H = 4/3, the height is less than the width and H = 3/4W

The diagonal of the TV can be determined by the Pythagorean formula

\(D = \sqrt{W^2 + H^2}\)

Express H in terms of W
\(D = \sqrt{W^2 + \left(\dfrac{3}{4}W\right)^2}\\\\\\= \sqrt{W^2 + \dfrac{9}{16}W^2}\\\\= \sqrt{\dfrac{25}{16}W^2}\\\\= \dfrac{5}{4}W\\\\We are given that D = 80"\\\\So \dfrac{5}{4}W = 80"\\\\W = \dfrac{4}{5} \times 80 = 64"\\\\The height is given by \dfrac{3}{4}W =\dfrac{3}{4} \times 64 = 48"\\\\\)

The height of the available area is only 47" so the TV wont fit. The width appears OK though it will be a tight fit since width of TV and width of area are both 64"

Question 4

Note: All percentages converted to decimals first by dividing by 100

Average of 3 tests = (86 + 78 + 40)/3 = 68
Weighted average= 68 x  0.45 = 30.6

Average of 4 quizzes = (96 + 91 + 94 + 99) = 95
Weighted Average = 95 x 0.20 = 19

Classwork Average = 95
Weighted Average = 95 x 0.05 = 4.75

Final Exam = 76
Weighted value = 76 x 0.30 = 22.5

Total Weighted Score = 30.6 + 19 + 4.75 + 22.5 = 76.85 which rounded to the nearest integer is 77

Answer is b,

Given the quadratic function below:

\( \large{f(x)= - {x}^{2} - 4x - 19}\)

To find f(-9), simply substitute x = -9 in the function.

\( \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}\)

Answer

Let me know if you have any doubts regarding the function.

Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

H²=B²+P²

20²=15²+18²

400=225+64

400≠289

No, it will not be able to make a right triangle.

Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.

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The complete question is given below:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.

1. Will he be able to make a right triangle out of his fence? Why or why not?

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?

Answer:1) 2n - 1

              2) 99

see in the picture, u can see that the number of  shaded in figures 1 through n will form an evenly spaced sequence with:

u(1) = 1

u(2) = 3

u(3) = 5

u(4) = 7

u(5) = 9

......

=>  The above sequence has: u1 = 1

                                                 d = 2

=> u(n) = 1 + 2(n - 1) = 2n - 1

=> the number of shaded squares in the n figure is 2n - 1

b) the number of shaded squares in the 50th figure is 2.50 - 1 = 99

Step-by-step explanation:

a) The number of shaded squares in the n figure is 2n - 1.

b) The number of shaded squares in the 50th figure is 99.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The number of  shaded in figures 1 through n will form an evenly spaced sequence with:

u(1) = 1

u(2) = 3

u(3) = 5

u(4) = 7

u(5) = 9

The above sequence has: u1 = 1, d = 2

u(n) = 1 + 2(n - 1) = 2n - 1

The number of shaded squares in the n figure is 2n - 1.

b) The number of shaded squares in the 50th figure

2.50 - 1 = 99

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Mean ≈ 0.874

Median ≈ 0.877

Maximum = 0.933

Minimum = 0.83

Mode = None

To find the mean, median, maximum, minimum, and mode of the given numbers:

Mean: The mean is the average of a set of numbers.

To calculate the mean, add up all the numbers and divide the sum by the total count.

Mean = (0.834 + 0.861 + 0.927 + 0.877 + 0.831 + 0.925 + 0.912 + 0.83 + 0.849 + 0.933 + 0.884) / 11

Mean ≈ 0.874

Median: The median is the middle value when the numbers are arranged in ascending or descending order.

Since there are 11 numbers, the median would be the 6th number when arranged in order.

Arranging the numbers in ascending order:

0.83, 0.831, 0.834, 0.849, 0.861, 0.877, 0.884, 0.912, 0.925, 0.927, 0.933

Median ≈ 0.877

Maximum: The maximum is the largest value among the given numbers.

Maximum = 0.933

Minimum: The minimum is the smallest value among the given numbers.

Minimum = 0.83

Mode: The mode is the value(s) that appear most frequently in the given numbers.

If there is no value that appears more than once, there is no mode.

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The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

Answer:

-12, -7, -4, 0, 3, 10

Step-by-step explanation:

just ask !

Answer:

The correct option is A. Parallel line.

Answer: VM = 16

Step-by-step explanation:

Answer:

An acute angle

Is there any answer choices??

Answer:

a=0

Step-by-step explanation:

If this is what you are asking, and if I understand it correctly, 8*8=64 and not 8, but 8*0=0, therefore 0 is a solution.

Answer:

42 ounces or B

Step-by-step explanation:

5 pounds - 2 pounds=3 pounds

3 pounds=48 ounces

48 ounces-6 ounces=42 ounces

Answer:

The hamster eats 1 cup a day I hope this helps

Step-by-step explanation:

From the given discrete probability distribution, we have that:

a) Because the sum of all probabilities is of 1, we can verify that this is a probability model.

b) P(3 or 4) = 0.229.

c) P(at least one) = 0.908.

d) P(4) = 0.035.

e) Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

The probability distribution in this problem gives the probability of a household having a number of TV sets, given as follows:

For item a, we have to add all the probabilities, hence:

0.092 + 0.275 + 0.101 + 0.194 + 0.035 + 0.303 = 1.

Because the sum of all probabilities is of 1, we can verify that this is a probability model.

For item b, we take the probabilities from the table as follows:

P(3 or 4) = P(X = 3) + P(X = 4) = 0.194 + 0.035 = 0.229.

For item c, we follow a similar procedure to item b, taking the probabilities from the table as follows:

P(at least one) = 1 - P(X = 0) = 1 - 0.092 = 0.908.

For item d, from the table, we have that:

P(4) = 0.035.

For item e, we have that:

Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

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A) The mean of the original set is 1.8

B) if we add 10 to each element, the new mean is 11.8

C) If we double each element, the new mean is 3.6.

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is defined as:

M = (x₁ + x₂ + ... + xₙ)/N

In this case, the set is:

{2.4, 1.6, 3.2, 0.3, 1.5}

So we have 5 elements.

a) The mean is given by the equation below, so we will get:

M = (2.4 + 1.6 + 3.2 + 0.3 + 1.5)/5

M = 1.8

The mean is 1.8

b) If now we add 10 to each element we will get the set:

{12.4, 11.6, 13.2, 10.3, 11.5}

Then the new mean is:

M = (12.4 + 11.6 + 13.2 + 10.3 + 11.5)/5

M = 11.8

The mean also increased by 10.

c) Finally, if we double each number we will get:

{2*2.4, 2*1.6, 2*3.2, 2*0.3, 2*1.5}

{4.8, 3.2, 6.4, 0.6, 3}

Then the new mean is:

M = (4.8 + 3.2 + 6.4 + 0.6 + 3)/5

M = 3.6

Notice that the new mean is twice the original mean.

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Answer:

m∡2 = 90°

Step-by-step explanation:

diagonals of a rhombus are perpendicular

Answer:

23 and 18.

Step-by-step explanation:

if the 1st integer is 'x' and the 2d integer is 'y', then the condition 'The sum of two integers is 41' can be re-written as x=y=41; the condition 'their difference is 5' can be re-written as x-y=5;

Then it is possible to make up the system of two equations:

\(\left \{ {{x+y=41} \atop {x-y=5}} \right. = > \ \left \{ {{x=23} \atop {y=18}} \right.\)

finally, 23 & 18.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±\(t_{n_1+n_2-2;1-\alpha/2}\)*Sa\(\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }\)]

\(t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715\)

\(Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20\)

[(2.90-2.29)±2.715*0.20\(\sqrt{\frac{1}{20} +\frac{1}{19} }\)]

[0.436; 0.784]

I hope this helps!

Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:

\(\mu_C = 2.9075, s_C = 0.1427\)

For the intermediate soil, omitting the high outlier of 4.26, we have that:

\(\mu_I = 3.2895, s_I = 0.2385\)

The distribution of the decrease has mean and standard deviation given by:

\(\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382\)

\(s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779\)

The interval is given by:

\(\overline{x} \pm ts\)

By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.

Then:

\(\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418\)

\(\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182\)

The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

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Using proportions, it is found that option A gives a figure that is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching this problem on the internet, the figure with a scale of 1 cm = 4 feet has the dimensions of:

51 cm, 75 cm, 30 cm and 72cm.

For a scale of 1 centimeter = 3 feet, these measures will be multiplied by 4/3, hence the figure is given in option A, as:

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Answer:

Mr. White can walk 4 miles in 1 hour.

Step-by-step explanation:

45min/3miles

60min/?miles

1 mile in 15 minutes

Answer:

40%

Step-by-step explanation:

24/60 is 40%

Answer:

24 minutes is 2/5 of an hour, or 40%

Step-by-step explanation:

There are 60 minutes in one hour. Therefore, 24 minutes is equalto 24/60 x 100 = 40 percent of one hour. What is 24 minutes as a percent? 40% of an hour.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

$7.92

Step-by-step explanation: