what is the arctan (-1)?
B. \(-\frac{\pi }{4}\)

Answer:

degrees of freedom = 15

tc= 1.746

Step-by-step explanation:

The degrees of freedom is given by n-1 where n is the sample size .

so the degrees of freedom for a t distribution is 16-1= 15

Now we have to find tc for 95%  confidence interval. For this we look at the t- table under the 1-0.95= 0.05  for alpha for 15 degrees of freedom and the value is 1.746

This area is to  the right side under the t distribution with the given degrees of freedom for the given alpha.

It can also be found out by other calculators such as graphing calculator.

Using the degree of freedom formula and the Tcritical distribution, the degree of freedom and Tcritical value are 15 and 2.131 respectively

Given that :

Hence, the degree of freedom, df = 16 - 1 = 15

The t critical value :

Tcritical = \(t_{\frac{0.05}{2}}, 15 = 2.131 \)

Hence, the Tcritical value is 2.131.

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Slope: 1/2

y-intercept(s): (0, 7/3)

x: 0, 7

y: 7/3, 0

Step-by-step explanation:

y=-3 -1/3(1+2)=2/3.3=1.3=3

y=3

Answer:

Step-by-step explanation:

Bonjour, Les longueurs sont 3 entiers consécutifs. Donc si on appelle n la plus petite longueur, la suivante vaut (n+1) et la troisième (n+2) Donc on cherche n sachant que : n + (n+1) + (n+2) = 231

Answer:

76 cm

77 cm

78 cm

Step-by-step explanation:

périmetre = coté 1 + coté 2 + coté 3

coté 1 = a

coté 2 = a+1

coté 3 = a+2

périmitre = 231 cm

périmetre = a + (a+1) + (a+2)

231 = a + a+1 + a+2

231 = 3a + 3

231 - 3  = 3a

228 = 3a

a = 228/3

a =  76

a+1 =77

a+2 = 78

76 + 77 + 78 = 231

The discount in dollars is $768.

This is a question of simple subtraction.

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time

Discounted Amount means an amount equal to the sum of the Offer Discount, Volume Discount and Payment Discount, applied to the List Price of all Eligible Products ordered by the Customer under these Terms.

Larry and Donna bought a sofa at the sale price of $1152.

The original price of the sofa was $1920.

So, Discounted amount of the sofa= (Original price of the sofa- Sale price of the sofa)

i.e, ($1920-$1152)=  $768.

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From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:

6500-40=6460

Step-by-step explanation:

Answer:

you have to add the circumference of the circle C≈131.95 to the two 100m  sides of the rectangle

Step-by-step explanation:

Answer:

1 1/4 miles

Step-by-step explanation:

Answer:

The 4 interior angles in the square are each 90 degrees. The four angles formed by the intersection of the 2 diagonal lines are each 90 degrees. The rest of the angles <PQT, <RQT, etc. Are all 45 degrees.

Answer:

The following angles are 45 degrees: SPT, QPT, PQT, RQT, QRT, SRT, RST, PST.

The following angles are 90 degrees: STP, PTQ, QTR, RTS

Step-by-step explanation:

Notice that it is a square. Since it is a square, any diagonal line drawn from a corner to the opposite corner will bisect the angle at both corners. Since in a square each angle at each corner is 90 degrees, we know that the angles listed above are 45 degrees.

There are multiple ways to arrive at the conclusion that angles STP, PTQ, QTR, RTS are all 90 degrees. The easiest way to arrive at that answer is looking at each triangle. Notice how the square is divided into 4 triangles. Each triangle contains two 45 degree angles. Since the internal angles of each triangle must sum to 180 degrees, this means the last angle is 90 degrees.

The result of the carrying out the operation, Add -4(row 1) to row 3, on the given matrix is:

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right]\)

From the question, we are to perform the given row operation on the given matrix

The given matrix is:

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\4&-1&6&-8\end{array}\right]\)

The operation we are to carry out is:

Add -4(row 1) to row 3

This essentially means we should multiply the first row (row 1) by -4. Then, we will add each of the elements from the results to the corresponding elements on the third row

Multiplying by -4

-4 × [ 1     2    1   | -5

      -4   -8   -4  | 20

Now, we will add the result from the multiplication to the corresponding elements in row 3

    4    -1     6  |  -8

+  -4   -8   -4  | 20

------------------------

    0    -9    2  |  12

Hence,

The resulting matrix becomes

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right]\)

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Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer: x=36

Assuming that O is the centre of the circle,

108+a+a=180(sum of the interior angles of a triangle is 180)

2a=180-108

2a=72

a=72÷2

a=36

a=x (angles in the same segment are equal)

Therefore x=36

Step-by-step explanation:

The corresponding terns are related as D. Each term in the first sequence is half the corresponding term in the second sequence.

From the information given, it was stated that we should add 6 starting from 0 and to add 3 starting from 0.

Therefore, it can be seen that each term in the first sequence is half the corresponding term in the second sequence. This is because 3 is half of 6.

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Answer:

6

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

Answer:

n=24

Step-by-step explanation:

First add 15 to the right side equaling 24. Therefore n=24

Answer:

I believe it is 7.5c + a

Step-by-step explanation:

when a variable is placed beside a number, you will multiply the number by the variable. here, we know the the variable means kids. 7.5 per kid that buys tickets, plus the adults. Hope that helps!

Answer:

25.2

Step-by-step explanation:

168 x .15 = 25.2

\(\large\text{Hey there!}\)

\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{25.2}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: What is this free?

Answer:

yes

Step-by-step explanation:

yes+yes(no-no)

=yes

Answer:

$46.83

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For saving account A;

P = $1,800

t = 2 years

n = 12 (monthly

r = 3.6% = 0.036

Substituting the values;

A = 1800(1+0.036/12)^(12×2)

A1 = $1934.17

for saving account B;

P = $1,800

t = 2 years

n = 12 (monthly

r = 4.8% = 0.048

Substituting the values;

A = 1800(1+0.048/12)^(12×2)

A2 = $1981.00

The difference will then be

d = A2 - A1

d = $1981.00 - $1934.17

d = $46.83

Therefore, she would have $46.83 more

Please provide specific data sets, and I would be happy to help you calculate the mean absolute deviation and determine which one has a MAD of 0.64.

Hello! Based on your question, you'd like to know which data set has a mean absolute deviation (MAD) of 0.64. Unfortunately, without any specific data sets provided, I am unable to directly calculate the MAD for you. However, I can help explain the concept of mean absolute deviation and how to calculate it for a given data set.

Mean absolute deviation is a measure of dispersion or variability within a data set. It helps in understanding how spread out the data points are from the mean (average) of the data set. To calculate the MAD, follow these steps:

1. Compute the mean of the data set by adding all the data points and dividing the sum by the total number of data points.
2. Calculate the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value of the result.
3. Add all the absolute deviations obtained in step 2.
4. Divide the sum of absolute deviations by the total number of data points to get the mean absolute deviation.

When you find a data set with a MAD of 0.64, it indicates that, on average, the data points are 0.64 units away from the mean. Keep in mind that a smaller MAD value means the data points are closer to the mean, indicating less variability, whereas a larger MAD value indicates more variability within the data set.

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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

Step-by-step explanation:

A = 0.5(πr^2 )

A = 0.5(π × (20^2 ))

A = 628.32 units^2

Answer:

628.3 ft

Step-by-step explanation:

area of half circle = \(\frac{\pi r^{2}}{2}\)

                             = \(\frac{\pi *20^{2} }{2}\)

                             = 200\(\pi\) = 628.3 ft

Answer:

0.2 is the correct asnwer because you divide 1.8 by 9

Step-by-step explanation:

I hope this helps you:) Please mark brainliest if correct:)

Stay safe, God bless and happy studying!

Answer:

54 m^3

Step-by-step explanation:

this is the answer = 54 m^3

Volume of the rectangular pyramid will be 54\(m^{3}\).

Rectangular pyramid has 5 faces where one face is rectangular which is at bases and other 4 faces are triangular which is connected at the one point .

If we assume that l is the length of the base and b is the width of the base and h is height of the rectangular pyramid then we can calculate the volume of the rectangular pyramid using the formula stated below

                 Volume of the rectangular pyramid = V=  (1/3)×l×b×h

According to the asked question

l = 6m

b = 3m

h = 9m

then we can calculate the volume of the rectangular pyramid by using the above formula

= V=  (1/3)×l×b×h

= (1/3)×6m×3m×9m

= 54\(m^{3}\)

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Answer: There should be 16, 20 cent coins

Step-by-step explanation:

First we have to do 1.60 x 2 which equals 3.2

Then we divided by 0.20 because the equals the 20 cent coins

We get 16

We can check our work by 0.20 x 16 and that gives us 3.2

I hope this helps!

Answer:

34

Step-by-step explanation:

The table that represents the relationship between the number of cheesecakes the bakery makes & the number of blocks of cream cheese the bakery uses is option- D, found using unitary-method.

What is unitary-method?

The unitary method is used to evaluate the value of a single unit or object, and then we can evaluate the necessary value by multiplying the single unit value. The unitary method involves determining the value of a single unit before determining the value of the necessary quantity of units. In the unitary method, the value of one unit quantity is determined before the values of the other units are determined. Direct variation and inverse variation are the two forms of variations.

Given that number of cheesecakes that can be made using 6 blocks of cream cheese is 72 cheesecakes

6 blocks of cheese= 72 cheesecakes

1 block of cheese = 72 ÷ 6 cheesecakes

                             = 12 cheesecakes.

2 blocks of cheese= 12 x 2 cheesecakes

                               =24 cheesecakes

3 blocks of cheese = 12 x 3 cheesecakes

                                = 36 cheesecakes

6 blocks of cheese = 12 x 6 cheesecakes

                                =72 cheesecakes

7 blocks of cheese = 12 x 7 cheesecakes

                                =84 cheesecakes

8 blocks of cheese = 12 x 8 cheesecakes

                                =96 cheesecakes

12 blocks of cheese = 12 x 12 cheesecakes

                                =144 cheesecakes

13 blocks of cheese = 12 x 13 cheesecakes

                                =156 cheesecakes

18 blocks of cheese = 12 x 18 cheesecakes

                                =216 cheesecakes

25 blocks of cheese = 12 x 25 cheesecakes

                                =300 cheesecakes

The option in which the cheesecakes directly variate with cheese blocks is option -D

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Refer to the attachment for the options.

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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Answer:

Two number: (9 , 12) or (-9 , -12)

Step-by-step explanation:

x² + (x+3)² = 225

2x² + 6x + 9 = 225

2x² + 6x + 216 = 0

2 (x² + 3x + 108) = 0

2 ( x-9) (x+12) = 0

x = 9   or   x = -12

Two number: (9 , 12) or (-9 , -12)

Answer:

a ≈ 1.59

b ≈ 6.69

Step-by-step explanation:

Law of Sines: \(\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}\)

Step 1: Find c using Law of Sines

\(\frac{6}{sin58} =\frac{c}{sin13}\)

\(c = sin13(\frac{6}{sin58})\)

c = 1.59154

Step 2: Find a using Law of Sines

\(\frac{6}{sin58} =\frac{a}{sin109}\)

\(a = sin109(\frac{6}{sin58} )\)

a = 6.68961