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2 years ago

URGENT WILL MARK BRAINLIEST

Mathematics

1 answer:

allochka39001 [22]2 years ago

5 0

Explanation:

Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.

Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.

Then the triangles ADB and ADC are congruent by the HL congruence theorem.

Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.

You might be interested in

A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.

nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0

3 years ago

Please answer!! I’ll mark Brainiest!! Anika is on the crew to set up rides for the state fair. The crew does most of the setup o

fiasKO [112]

Answer:

Step-by-step explanation:

Answer:

(a) We will form an equation of line from the points given (6,10) and (2,15)

Using:

On substituting the values in the formula above we will get the required equation of line.

On simplification we will get:

(b) We need to tell at day 0 put x=0 in above equation:

Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.

Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in

which is the decrease per day.

7 0

3 years ago

Please help ASAP!!!!!

ra1l [238]

These tables have infinitely many values, but the simplest ones would be:
a) x|y
3|5
6|10
9|15

b) x|y
2|1
4|2
6|3

Your graph for c would look like the attached picture

7 0

3 years ago

Read 2 more answers

6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a

vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0

3 years ago

What is the greatest common factor of 15x^3y^2 and 20x^4y^4?

Vanyuwa [196]

<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? </h3>

First we have to find the factors of 15x³y²

15x³y² = 3 * 5x³y²

Then we have to find the factors of 20x⁴y⁴

20x⁴y⁴ = 2²x¹y² * 5x³y²

Now we have to find the common factors to both numbers.

The common factors are 5x³y²

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²

Hope this helps!

$\textit{\textbf{Spymore}}$

6 0

3 years ago