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3 years ago

Help pleasseee what’s the area

Mathematics

1 answer:

True [87]3 years ago

8 0

First, we need to find the missing leg of triangle ACD. We have to use pythagorean theorem to find the missing leg.

a^2 + b^2 = c^2

In this problem,

a = 2

b = ?

c = 5

Plug our numbers into the formula above.

2^2 + b^2 = 5^2

Simplify our terms

4 + b^2 = 25

Subtract 4 from both sides

b^2 = 21

Take the square root of each side

b = √(21)

Now, we can solve for the area of triangle ABC

Area of a triangle = (h * b) / 2

h = height

b = base

In this problem,

h = √(21)

b = 5.0

Plug our numbers into the area formula of a triangle

Area = (√(21) * 5) / 2 = 11.46 square units

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6 to the 2nd power ÷ 2 ( 3 ) + 4 =

Slav-nsk [51]

<span>Use the order of operation, PEMDAS.

6²÷2(3) +4

36/2(3)+4

=(18)(3)+4

=54+4

=58</span>

5 0

4 years ago

Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat

NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that $n = 65, \pi = 0.76$

99% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964$

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0

3 years ago

Solve this

sesenic [268]

A sandwich store charges a delivery fee to bring lunch to an office.

Delivery cost - D

Meatball sandwich cost - M

One office pays $40.50 for 5 meatball sandwiches.

40.50 = 5M + D

Another office pays $66.50 for 9 meat ball sandwiches

66.50 = 9M + D

A. How much does each meatball sandwich add to the cost of delivery?

D = 40.50 - 5M = 66.50 - 9M

40.50 - 5M = 66.50 - 9M

9M - 5M = 66.50 - 40.50

4M = 26.00

M = 6.50

B. What is the delivery fee

D = 40.50 - 5M = 40.50 - 5(6.50) = 40.50 - 32.50 = 8.00

Check

66.50 = 9M + D = 9(6.50) + 8 = 58.50 + 8.00 = 66.50

3 0

3 years ago

8.1 = 0.9a, how do you solve?

GrogVix [38]

Answer:

a = 9

Step-by-step explanation:

Simplifying

8.1 = 0.9a

Solving

8.1 = 0.9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.9a' to each side of the equation.

8.1 + -0.9a = 0.9a + -0.9a

Combine like terms: 0.9a + -0.9a = 0.0

8.1 + -0.9a = 0.0

Add '-8.1' to each side of the equation.

8.1 + -8.1 + -0.9a = 0.0 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0

0.0 + -0.9a = 0.0 + -8.1

-0.9a = 0.0 + -8.1

Combine like terms: 0.0 + -8.1 = -8.1

-0.9a = -8.1

Divide each side by '-0.9'.

a = 9

Simplifying

a = 9

5 0

3 years ago

HELP ME!!! 4- 5/8 =?

BlackZzzverrR [31]

Answer:

27/8

Step-by-step explanation:

1.) 4-5/8

Convert element to fraction

2.) 4 x 8/8-5/8

3.) 4 x 8-5/8

4.) 27/8

7 0

3 years ago