Please Help!! And Fast!! Will give Brainliest to the Best Answers (75 points) --- The historical society hired an artist to restore a stained glass window panel. After studying the original drawings, the artist knows that panel ABCD is square. He also knows that FG is a perpendicular bisector of BC and BC ≅ BE. However, in order to restore the panel to match its original specifications, he needs to know the measure of ∠BED. Given: ABCD is a square FG ⊥ BC BC ≅ BE Step 1: Draw EC on the diagram. Use the given information to explain how you know △EGC ≅ △EGB. Add the appropriate notation to the diagram. (5 points) Step 2: Building on the information from Step 1, use the spaces below to prove that m∠BEC = 60°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Statements Reasons 1. △EGC ≅ △EGB 1. Given 2. EB ≅ EC 3. Given 4. EB ≅ EC ≅ BC 5. m∠BEC = 60° Step 3: Next, use the spaces below to prove the measure of ∠ECD = 30°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° Prove: m∠ECD = 30° Statements Reasons 1. △BEC is equilateral 2. m∠GCE = 60° 3. ABCD is a square 4. Substitution Step 4: Find m∠BED. Show your work and explain your reasoning. Add the appropriate notation to the diagram. (6 points; 4 points for showing work and explaining reasoning; 1 point for final answer; 1 point for diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° △ECD is isosceles Find: m∠BED

Answer:

By either graphing or completing the square

Step-by-step explanation:

The fastest way to find the vertex is to graph the equation and trace the graph to your vertex to find your point.

Alternatively, you can complete the square to get form f(x) = a(bx - h)² + k (vertex form) and find your vertex (-h, k).

Answer:

48x divided by 8= 6p

Step-by-step explanation:

Answer:

[tex] \frac{c}{a + b} [/tex]

Step-by-step explanation:

Point A is on the origin, hence its coordinates would be (0, 0). Coordinates of point C are (a + b, c)

Slope of AC

[tex] = \frac{c - 0}{a + b - 0} \\ \\ = \frac{c}{a + b} \\ [/tex]

Answer:

In the green box of the numerator, enter "c"

In the gray bax in the denominator, there should be "a"

Step-by-step explanation:

Slope is Rise/Run.

Here the rise is "c" because the base is at 0, and the top of the parallelogram is at "c"

Answer:

112.569 ( D )

Step-by-step explanation:

Applying the estimated Regression Equation

y = b1X1 + b2X2 + a

b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884

b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925

a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252

y = 0.939X1 + 0.309X2 + 31.733

For x1 ( age ) =39, and  x2(weight) =143

y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569

where

Sum of X1 = 981

Sum of X2 = 3102

Sum of Y = 2388

Mean X1 = 61.3125

Mean X2 = 193.875

Mean Y = 149.25

attached is the Tabular calculation of the required values needed for estimated regression equation

Answer:

a

Step-by-step explanation:

Answer:

b my man or women

Step-by-step explanation:

no need for one

The probability of heads would be 1 - probability of tails.

1-0.4 = 0.6

The probability of getting heads is 0.6

Based on the information given, the probability will be 0.6.

From the question, it was stated that Leon throws a biased coin and that the probability of getting tails is 0.4.

Therefore, the probability of getting heads will be:

= 1 - 0.4

= 0.6.

In conclusion, the correct option is 0.6.

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Answer:

x°=55°

Step-by-step explanation:

90°=35°+x°

90°-35°=x°

55°=x°

therefore, x°=55°

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

[tex]p_1=X_1/n_1=82/135=0.607[/tex]

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

[tex]p_2=X_2/n_2=41/92=0.446[/tex]

The difference between proportions is (p1-p2)=0.162.

[tex]p_d=p_1-p_2=0.607-0.446=0.162[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=2\cdot P(z>2.4014)=0.0171[/tex]

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

[tex]MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335[/tex]

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Answer:

Add 3, 144

+3,990

And you wil get your answer

7, 134

Answer:

-7

Step-by-step explanation:

y−x=9 ⇒ y=x+9

10+2x=−2y

5+x= -y  ====== replacing y with x+9

5+x= -x-9

2x= -14

x= -7

Answer:

-7

Step-by-step explanation:

y - x = 9

10 + 2x = -2y

Solve for y in the first equation.

y = 9 + x

Put y as 9 + x in the second equation and solve for x.

10 + 2x = -2(9 + x)

10 + 2x = -18 - 2x

2x + 2x = -18 - 10

4x = -28

x = -28/4

x = -7

Answer:

25%

Step-by-step explanation:

Sum the parts of the ratio, 7 + 5 + 4 = 16 parts

Of the 16 parts, 4 parts are blue, thus percentage is

[tex]\frac{4}{16}[/tex] × 100% = [tex]\frac{1}{4}[/tex] × 100% = 25%

Answer:

60%

Step-by-step explanation:

3 of the 5 elements in P are odd (5, 11, & 13), so the probability is 3/5 or 60% or 0.6. (Depending on the format your teacher wants it in).

Answer:

The amount in the account at the end of three years will be $59,861.

Step-by-step explanation:

The formula to compute the amount at the end of t years, compounded continuously is:

[tex]A=P\times e^{t\times i}[/tex]

Here,

A = Amount at the end

P = Principal amount

i = interest rate

t = number of years.

It is provided that:

P = $50,000

i = 6%

t = 3 years

Compute the amount in the account at the end of three years as follows:

[tex]A=P\times e^{t\times i}[/tex]

   [tex]=50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861[/tex]

Thus, the amount in the account at the end of three years will be $59,861.

Answer:

19.2

Step-by-step explanation:

Net income                                   $940,000

No of shares outstanding             $188,000

Earning per share = Net income / no of shares outstanding  

Earning per share = 940,000 / 188,000

Earning per share = 5

Market price per share  = 96

Price earning ratio = Market price / Earning per share

Price earning ratio = 96 / 5  

Price earning ratio = 19.2

Answer:

x=1.2

Step-by-step explanation:

25x^2 -36=0

25x^2 =36

25x^2/25=36/25

x^2 =1.44

x=square root of 1.44

x=1.2

Answer:

The value of the 2nd 5 is 50,000 and it is in the ten thousands place

Answer:

The answer is below

Step-by-step explanation:

For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.

Since 1 day = 1/3 hr faster

x days = 24 hr faster

Let x number of days be required to be 24 hr faster. To find x we use the formula:

[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]

For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.

Since 1 day = 1/2 hr slower

y days = 24 hr faster

Let x number of days be required to be 24 hr slower. To find x we use the formula:

[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]

If digits can repeat and it can start with zero than there are 10 options for every digit so the answer is 10**7, or 10000000.

hope this helps, plz mark branliest?

Number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.

We need to find the how many different 7-digit PIN codes using only the digits 0-9 are possible.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

First digit: 1,2,3,4,5,6,7,8,9 (cannot be 0 else it will be a 6-digit number) (9 choices)

2nd digit: 0,1,2,3,4,5,6,7,8,9 (10 choices)

As we go on, we realise that from the 2nd to 7th digit, we have 10 options (0,1,2,3,4,5,6,7,8,9)

Number of ways to get 7-digit numbers using 0-9 would be 9×10×10×10×10×10×10=9000000.

Therefore, number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.

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Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}[/tex]

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

[tex]P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483[/tex]

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Answer:

2/3

Step-by-step explanation:

Total sides = 6

Number 5 and all even numbers = 1+3

=> 4

P(5 or even ) = 4/6

=> 2/3

Answer:

$24, $30, $36

Step-by-step explanation:

First we need to find the unit rate.

1. 18÷3 = 6

So that means one taco costs $6.

6*4 = 24

6*5 = 30

6*6 = 36

The cost of 4 taco is $24, 5 taco is $30 and 6 taco is $36.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

3 tacos cost $18.

Cost of 1 taco= 18/ 3

= $6

So, cost of 4 taco = 4 x 6 = $24

and, cost of 5 taco = 5 x 6= $30

and, cost of 6 taco = 6x 6= $36

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Answer:

A = 20,000

Step-by-step explanation:

200,000 ÷ 10 = 20,000

The loan amount going to be for a home that cost  $200000 home. You plan to pay 10% as a down payment and take out a 30-year loan for the rest is $180000.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The cost of the house, C = $200000,

The time = 30 years,

If the down payment is 10% then the remaining amount,

Down payment  amount, D = 10% of 2000000 = $20000

Remaining amount = C - D

Remaining amount = $200000 -  $20000 = $180000,

Therefore, the loan amount is $180000.

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Answer:

The only true statement is statement 2.

On most days the temperature varied about 4.3 degrees from the mean temperature.

Step-by-step explanation:

The MAD is known as the Mean Absolute Deviation for any given dataset.

The absolute deviation is a measure of dispersion which quantifies the spread of the variables in the dataset from the mean.

It gives the only the positive value of the deviations of each variable from the mean.

The mean absolute deviation now signifies the average of the sum of all of these positive deviations of each variable from the mean.

Hence, the MAD value only gives how much the variables will varubfrom the mean on average.

Looking at the statements, it is evident that the MAD temperature value of 4.3 doesn't directly give the maximum or minimum variation from the mean temperature or the highest variation from the mean, rather it does show that 'On most days the temperature varied about 4.3 degrees from the mean temperature'.

Hope this Helps!!!

Answer:

a c e

Step-by-step explanation:

Answer:

So C is root 39 I meant and B is 399.99

Step-by-step explanation:

I am correct because of Pythagorean theorem, ok so these are correct!

Answer:

Step-by-step explanation:

1. opp=5,adj=4,hypotenuse=c

[tex]c^{2} =5^{2} +4^{2} \\c^{2} =25+16\\c^{2} =41\\c=\sqrt{41} \\c=6.4\\2.opp=25,hyp=25,adj=b\\hyp^{2} =opp^{2} +adj^{2} \\25^{2} =15^{2} +b^{2} \\625=225+b^{2} \\625 - 225 =b^{2} \\400=b^{2} \\b=\sqrt{400} \\b=20.0[/tex]

The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The expression is given below.

⇒ ㏑(4/9)

Simplify the equation, then we have

⇒ ㏑(4/9)

⇒ ㏑ 4 - ㏑ 9

⇒ ㏑ (2)² - ㏑ (3)²

⇒ 2 ㏑ 2 - 2 ㏑ 3

The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.

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Answer:

  1.8 times the cost of labor.

Step-by-step explanation:

At the beginning of the year, the rate for overhead was estimated to be ...

  (overhead $)/(direct labor $) = $396/$220 = 1.8

The overhead rate is 1.8 times the labor cost.

Answer:

The percentage points within which the obtained results would differ from the real population value.

Step-by-step explanation:

The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.

Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.

Answer:

D

Step-by-step explanation:

as it indicates whole F in the figure

Venn diagram are used to represent the relationships between sets. The correct notation for the shaded region is (d) F.

Given the attached Venn diagram.

The shaded region highlights

This means that options (a) and (b) are false because set G is not shaded

This also means that option (c) is false because the shaded region is just a part of set M, and not the whole set M.

Hence, we can conclude that option (d) is correct because the whole of set F is shaded.

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Answer: 3 grams

Step-by-step explanation:

[tex]210\bigg(\dfrac{1}{2}\bigg)^6=\dfrac{210}{64}\quad =\large\boxed{3.28125}[/tex]

Answer:

(See explanation below for further details).

Step-by-step explanation:

Let be a parametric curve represented by [tex]x = 3\cdot t - 5[/tex] and [tex]y = 5\cdot t + 1[/tex], where [tex]t[/tex] is the parametric variable.

The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.

[tex]t = \frac{x+5}{3}[/tex] and [tex]t = \frac{y-1}{5}[/tex]

[tex]\frac{x+5}{3} = \frac{y-1}{5}[/tex]

[tex]5\cdot (x+5) = 3\cdot (y-1)[/tex]

[tex]5\cdot x +25 = 3\cdot y - 3[/tex]

[tex]5\cdot x -3\cdot y = -28[/tex]

The parametric equations represents a linear function (first-order polynomial).