Given: △ABC, AB=5√2 m∠A=45°, m∠C=30° Find: BC and AC

Answer:

A...............................

Answer:

62 degrees

Step-by-step explanation:

As two sides shown are same in length thus angle containing by them will be also same.

Thus, other unmarked angle will also be x degrees.

one angle is 56 degrees

we know that sum of angle of triangle is 180 degrees.

Thus

x + x + 56 = 180

2x + 56 = 180

2x = 180 - 56 = 124

x = 124/2 = 62

Thus, value of x is 62 degrees.

Answer:

676/5929

Step-by-step explanation:

Answer: The zeros are -1,-3, and 3

Hope this helps

Answer:

let g[x]=0

then0=x3−x2-9x+9

rewrite it as x3−x2−9x+9=0

by factorising it becomes

(x−1)(x+3)(x−3)=0

therefore

either x-1=0  OR x+3=0  OR  x-3=0

which becomes

x=1   OR   x=-ve3  OR  x=3

are the zeroes of the polynomial

hope this helps

Answer:

Step-by-step explanation:

Area of the rectangular cardboard = Length * Width ... 1

Given the area of the cardboard = 36-square inches

If the length of the cardboard can be found by dividing its area by its width, then Length = Area/Width ... 2

Given the width to be 4 inches

Length = 36 in²/4 in

Length of the cardboard = 9 inches

Answer:

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

d. z= 1.3322

Step-by-step explanation:

We formulate our hypothesis as

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

According to the given conditions

p`= 31/225= 0.1378

np`= 225 > 5

n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5

p = 0.4 x= 31 and n 225

c. Using the test statistic

z=  p`- p / √pq/n

d. Putting the values

z= 0.1378- 0.11/ √0.11*0.89/225

z= 0.1378- 0.11/ √0.0979/225

z= 0.1378- 0.11/ 0.02085

z= 1.3322

at 5% significance level the z- value is ± 1.645 for one tailed test

The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept  Ha : p >0.11 and  conclude that the data indicates that the 11% of the world's population is left-handed.

The rejection region is attached.

The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.

which appears to be 0.95 and subtracting from 1 gives 0.04998

Answer:  A

Step-by-step explanation:

When multiplying matrices, find the sum of the product of the terms in the  first row of the first matrix with the terms in the first column of the second matrix. Repeat for each row and column.

[tex]\left[\begin{array}{cc}a&c\\b&d\end{array}\right] \times \left[\begin{array}{cc}w&y\\x&z\end{array}\right]=\left[\begin{array}{cc}aw+cx&ay+cz\\bw+dx&by+dz\end{array}\right]\\\\\\\left[\begin{array}{cc}-3&4\\2&-5\end{array}\right]\times \left[\begin{array}{cc}3&-2\\1&0\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(3)+4(1)&-3(-2)+4(0)\\2(3)-5(1)&2(-2)-5(0)\end{array}\right]\\\\\\=\left[\begin{array}{cc}-5&6\\1&-4\end{array}\right][/tex]

Answer:

-21/5 = -4.2

Step-by-step explanation:

-21.87 / 4.79 = -4.5657.....

So, the quotients is -4

Now, Let's see who's quotient is equal to think one:

-21/4 = -5.25

-21/5 = -4.2

-40/4 = -5

-20/5 = 4

Answer:

-21/5 = -4.2

Step-by-step explanation:

Answer:

The probability of randomly pulling from the bag in the order that spells DESIGN = 1/720

= 0.001389 or 0.1389%

Step-by-step explanation:

The letters placed in a bag = 6

The different ways to choose six letters are a permutation without repetition

And permutation without repetition

= 6 x 5 x 4 x 3 x 2 x 1 = 720 ways

Therefore, the probability of randomly pulling from the bag in the order that spells DESIGN

= 1/720

= 0.001389 or 0.1389%

Probability is defined as the chance that the spelling DESIGN will be pulled from a bag containing the letters: G, E, N, I, D, S, which has 720 ways to choose the letters.

Answer:

All correct

Step-by-step explanation:

All proposed answers correct, and well indicated in set notation.

Answer:

12100

Step-by-step explanation:

If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985

In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990

The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;

B ( t ) = − 329.4 t + 13747

B(5) = -329.4(5) + 13747

B(5) = -1647+13747

B(5) = 12100

This shows that there will be 12100 federally insured banks are there in the year 1990.

Answer:

Step-by-step explanation:

Given

E = { a , c , f }

A = { a , c , j }

i) Let's find the intersection of E and A

E ∩ A = { a , c , f } ∩ { a , c , j }

In the case of intersection , we have to list the elements which are common in both sets:

E ∩ A = { a , c }

ii) Let's find the union of E and A

E ∪ A = ( a , c , f } { a , c , j }

In the case of Union, we have to list all the elements which are present in both sets.

E ∪ A = { a , c , f , j }

Hope this helps..

Best regards!!

Answer:

After graphing you can see that There are many differences between the sets. In general for A, values are much higher, the mean median for the set A is above 80 whereas the median for B is below 60, the maximum of A is above 100 and the maximum for B is about 80.

Step-by-step explanation:

With python you can use this code to see the graph.

import pandas as pd

import seaborn as sns

dfA = pd.DataFrame()

dfB = pd.DataFrame()

dfA['Value'] = pd.Series([56, 62, 71, 82, 92, 101, 106, 103, 97, 84, 68, 57])

dfA['Letter'] = 'A'

dfB['Value'] = pd.Series([36, 42, 48, 56, 63, 72, 78, 75, 69, 58, 46, 37])

dfB['Letter'] = 'B'

df = pd.concat([dfA,dfB],axis = 0).reset_index(drop = True)

sns.boxplot(x = 'Letter', y = 'Value', data = df)

After graphing you can see that There are many differences between the sets. In general for A, values are much higher, the mean median for the set A is above 80 whereas the median for B is below 60, the maximum of A is above 100 and the maximum for B is about 80.

Answer:

A values are higher, above 80 and max 100.

B values are lower than 60 and max 80.

Answer:

D. 6 pounds

Step-by-step explanation:

$9.50-$5.00=$4.50; $4.50/$0.75= 6 pounds

Answer:

A - 1.50 pounds

Step-by-step explanation:

Answer:

There are 7 ways in which the formula can be evaluated to False.

Step-by-step explanation:

In order to solve this problem we will need to build a truth table. In order to build the truth table, we must start by setting the possible truth values combinations. In total there must be 8 rows, which you can see on the first three columns of the attached table.

Next, it is advisable that you divide the formula in little chunks of information that will be easier to evaluate. One column can be (p->q).

Let's evaluate that first column. In general, that column can only be false if p=T -> q=F. Which happens only on the 3dr and 4th rows of the table. The rest of the statements are true.

The next column will be (q->r). The same condition is met here, but this time you take into account the values given on the q and r columns. The false values will happen only on the 2nd and 6th rows. The rest of the rows for that collumn should be true.

Finally you can test for the whole formula. the first, 4th and 5th columns must be true for the formula to be true as well, which will happen only on the first row. The rest of the rows will have at least one false statement which makes the whole row false. So the rest of the rows are false.

(see attached picture for the whole truth table)

Answer:

the answer is D.

Step-by-step explanation:

correct on edge

The expression which represents the measure of angle X is therefore; The angle x =180 - 2a.

According to the question;

From the given information;

The measures of angle Y and Z = a.

The expression represents the measure of angle X is therefore; The angle x =180 - 2a.

Read more on isosceles triangle;

https://brainly.com/question/11884412

Answer:

Part A speed=96*2=192km/h

Step-by-step explanation:

Two parts, parts A and part B

Part A=200% more than B

Let part B=x

Part A=200 more than B

=2x

Speed ratio=2:1

Average speed of train=64km/h

Let Part A speed=2x

Part B speed=x

A:B=2:1

Total ratio =3

Speed in the part A can be calculated thus:

Totatl speed= ratio of speed in part A / total ratio

64=2x/3

192=2x

x=96km/h

Part A speed=96*2=192km/h

Hi there! :)

Answer:

y = 3x - 17.

Step-by-step explanation:

To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:

A line parallel to y = 3x - 8 contains the same slope, or m = 3.

Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:

-5 = 3(4) + b

-5 = 12 + b

Simplify:

-5 - 12 = b

b = -17.

Rewrite the equation:

y = 3x - 17.

Answer:

The  99%  confidence interval is

                     [tex]37.167< \= x < 44.833[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  [tex]n = 29[/tex]

  The  sample mean is  [tex]\= x =[/tex]$41

  The  sample standard deviation is  [tex]\sigma =[/tex]$8

   The  level of confidence is [tex]C =[/tex]99%

Given that the confidence level id  99% the level of confidence is evaluated as

        [tex]\alpha = 100 - 99[/tex]

        [tex]\alpha = 1[/tex]%

Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table which is  

      [tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]

The reason we are obtaining values for  is because  is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while   is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval

Next we evaluate the margin of error which is mathematically represented as

          [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

         [tex]MOE = 2.58 * \frac{8 }{\sqrt{29} }[/tex]

           [tex]MOE = 3.8328[/tex]

The 99% confidence level is constructed as follows

      [tex]\= x - MOE < \= x < \= x + MOE[/tex]

substituting values

    [tex]41 - 3.8328 < \= x < 41 + 3.8328[/tex]

     [tex]37.167< \= x < 44.833[/tex]

Answer:

(28/33+28 ) *100

Step-by-step explanation:

(28/33+28 ) *100

(28/61)*100

Answer:

it's 2

Step-by-step explanation:

I did it before

Answer:

a

  [tex]S.E = 0.05[/tex]

b

 [tex]P(P > 0.75) = 0.0013499[/tex]

Step-by-step explanation:

From the question we are told that

      The population  [tex]p = 0.60[/tex]

       The  sample size is  [tex]n = 96[/tex]

       The  sample proportion is  [tex]\r p = 0.75[/tex]

Generally the standard error is mathematically represented as

      [tex]S.E = \sqrt{ \frac{p(1-p)}{n } }[/tex]

substituting values    

       [tex]S.E = \sqrt{ \frac{0.60 (1-0.60 )}{96 } }[/tex]

       [tex]S.E = 0.05[/tex]

The  probability that  more  than  75% of consumers will indicate they like the drink is mathematically represented as

       [tex]P(P > 0.75) = P(\frac{\r P - p }{\sqrt{\frac{p(1-p)}{n} } } > \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n} } } )[/tex]

 The  z-score is  evaluated as

              [tex]z = \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n} } }[/tex]

So  

         [tex]P(P > 0.75) = P(Z > \frac{0.75 - 0.60 }{0.05} )[/tex]

         [tex]P(P > 0.75) = P(Z > 3)[/tex]

         [tex]P(P > 0.75) = 0.0013499[/tex]

This value above is obtained from the z-table  

Answer:

Step-by-step explanation:

To do the dilation, simply multiply each coordinate by the scale factor. That is

(-3,1)*3 = (-9,3) and (4,-2) * 3 = (12,-6). So the new points are A'(-9,3) and B'(12,-6)

Answer:

(a) H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.

Step-by-step explanation:

We formulate the

H0: μ1=μ2; null hypothesis that the two means are equal and alternate hypothesis that the two mean are not equal.

Ha:μ1≠μ2 Two tailed test

Test statistic used is

t= x1`-x2` / s√n as the variances are equal and sample size is same

T value for 9 degrees of freedom for two tailed test at α = 0.05 is 2.26

P- value for t test for 9 degrees of freedom is 0.125 from the table.

Hence only a is correct .

Answer:

5 mi  1432 yds

Step-by-step explanation:

   8mi 200 yds

- 2 mi 528 yds

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

We have to borrow 1 mile and convert to yards

1 mile = 1760 yds

 7mi 200+1760 yds

- 2 mi 528 yds

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

 7mi  1960 yds

- 2 mi 528 yds

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

5 mi  1432 yds

Answer:

8mi 200yds - 2mi 528yds

= 5mi 1432yds

Step-by-step explanation:

1 mile = 1760 yards

8 miles = 7miles + 1 mile = 7 miles + 1760 miles = 7 miles 1760 yards

8miles 200 yards = 7miles + 1760 yards + 200 yards = 7miles + 1960 yards

then:

8mi 200 yds - 2 mi 528 yds = 7mi 1960yds - 2mi 528yds

 7mi 1960yds

- 2mi   528yds

= 5mi  1432yds

Answer:

Step-by-step explanation:

give brainllest please °∩°

Answer:

The distance between the art gallery and the office supply store is 42 miles

Step-by-step explanation:

Notice that the segment that joins the office store with the art gallery, has a length that equal the distance between the art gallery and the bank, plus the distance between the bank and the office supply store. That is;

32.1 mi + 9.9 mi = 42 mi

Answer:

7/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8

7/8 = 1/8 + 6/8

7/8 = 4/8 + 3/8

7/8 = 5/8 + 2/8

Step-by-step explanation:

Hope it helps!

The fraction 7/8 can be written as the sum of unit fraction i.e;

1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8.

A unit fraction can be defined as a fraction whose numerator is 1.

Given fraction 7/8

can be written as the sum of the unit fraction i.e;

7/8=1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8

Hence,7/8 can be decomposed into sum of unit fraction as

1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8.

To know more about the unit fraction click the link below:

https://brainly.com/question/15326565

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