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1 year ago

Please help me urgently! 50 points giving brainliest.

Mathematics

1 answer:

Alisiya [41]1 year ago

3 0

The number of significant figures in the numbers are

100 cm = 1 significant digit
0.006700 cm = 2 significant digits
450. cm = 3 significant digits

<h3>How to determine the number of significant figures in the following numbers?</h3>

As a general rule, the zeros before and after the non-zero figures are not significant.

Using the above rule, we have:

100 cm = 1 significant digit
0.006700 cm = 2 significant digits
450. cm = 3 significant digits

<h3>How to round the following numbers to the correct number of significant figures</h3>

Using the above rule in (a), we have:

123g to show 1 sig fig = 100 g
0.19851m to show 2 sig figs = 0.2 m
0.0057034L to show 3 sig figs = 0.005703 L

<h3>How to report the following answers with correct significant figures</h3>

We have:

(12.93cm) x (2.34cm) x (8cm) = 242.05 cm^3 because 12.93 has 4 significant figures

67.0m / 2.18s = 30.7 m/s because 2.18 has 3 significant figures

<h3>How to convert the following metric to metric</h3>

450mL = 0.45 L

because 1 mL = 0.001 L

2.3 dm = 0.00023 km

because 1 dm = 0.0001 km

0.120cg = 1.2 mg

because 1 cg = 10 mg

6700L = 670000 cL

because 1 L = 100 cL

<h3>How to convert the following metric</h3>

a. 2.34miles = 3.76 km (1mile = 1.61km) -- given

b. 5.3ft = 161.544 cm(2.54cm = 1 in)

Because 1 ft = 30.48 cm

Read more about significant figures at:

brainly.com/question/24491627

#SPJ1

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Answer/Step-by-step explanation:

(a) The likelihood function to estimate this probability can be written as:

mat[1000, 9800]p9580(1 - p)420

(b) The value of the maximum likelihood estimate of the probability 0.958(By taking log of expression in (a) above)

Therefore, the likelihood is p(9800) = mat[10000, 9800]p9800(1 - p)200

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3 years ago

A clothing store is having a sale where all items are 60% off. What is the sale price of a $260 wool

Rudik [331]

Answer:

$104

Step-by-step explanation:

$260 - 60% = $104

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2 years ago

My math final please help

spin [16.1K]

Answer:

m∠3 = 56

Step-by-step explanation:

Let's solve for x, first:

x + 9 = 3x - 85

9 = 2x - 85

94 = 2x

94/2 = x

47 = x

Now that we have x-value, we can substitute it in any one of the given equation to find angle 3 since, angle 1, 7 and 3 all are congruent:

=> m∠7 = x + 9

=> m∠7 = 47 + 9

=> m∠7 = 56

Since m∠7 ≅ m∠3

and m∠7 = 56, then

Hope this helps!

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3 years ago

Rationalize the denominator of each of the following 4 by (root7+root3)

Solnce55 [7]

Answer:

4/(√7 + √3)

Step-by-step explanation:

=> Multiply and divide by (√7-√3)

=> 4(√7 - √3)/((√7 + √3)(√7 - √3)

=> 4(√7 - √3)/((√7)² - (√3)²)

=> 4(√7 - √3)/((7) - (3))

=> 4(√7 - √3)/4

=> √7 - √3

7 0

2 years ago

Read 2 more answers

Part B

alisha [4.7K]

Question:

Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment AC represent the base of the triangle.

(a) Find the equation of the line passing through B and perpendicular to the line AC

(b) Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.

Answer:

$y = \frac{1}{5}x + \frac{12}{5}$

$D = (\frac{43}{26},\frac{71}{26})$

Step-by-step explanation:

Given

$\triangle ABC$

$A = (2,1)$

$B = (3,3)$

$C = (1,6)$

Solving (a): Line that passes through B, perpendicular to AC.

First, calculate the slope of AC

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$C = (1,6)$ --- $(x_2,y_2)$

The slope is:

$m = \frac{6- 1}{1 - 2}$

$m = \frac{5}{-1}$

$m = -5$

The slope of the line that passes through B is calculated as:

$m_2 = -\frac{1}{m}$ --- because it is perpendicular to AC.

So, we have:

$m_2 = -\frac{1}{-5}$

$m_2 = \frac{1}{5}$

The equation of the line is the calculated using:

$m_2 = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$m_2 = \frac{1}{5}$

$B = (3,3)$ --- $(x_1,y_1)$

$(x_2,y_2) = (x,y)$

So, we have:

$\frac{1}{5} = \frac{y - 3}{x - 3}$

Cross multiply

$5(y-3) = 1(x - 3)$

$5y - 15 = x - 3$

$5y = x - 3 + 15$

$5y = x +12$

Make y the subject

$y = \frac{1}{5}x + \frac{12}{5}$

Solving (b): Point of intersection between AC and $y = \frac{1}{5}x + \frac{12}{5}$

First, calculate the equation of AC using:

$y = m(x - x_1) + y_1$

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$m = -5$

So:

$y=-5(x - 2) + 1$

$y=-5x + 10 + 1$

$y=-5x + 11$

So, we have:

$y=-5x + 11$ and $y = \frac{1}{5}x + \frac{12}{5}$

Equate both to solve for x

i.e.

$y = y$

$-5x + 11 = \frac{1}{5}x + \frac{12}{5}$

Collect like terms

$-5x -\frac{1}{5}x = \frac{12}{5} - 11$

Multiply through by 5

$-25x-x = 12 - 55$

Collect like terms

$-26x = -43$

Solve for x

$x = \frac{-43}{-26}$

$x = \frac{43}{26}$

Substitute $x = \frac{43}{26}$ in $y=-5x + 11$

$y = -5 * \frac{43}{26} + 11$

$y = \frac{-5 *43}{26} + 11$

Take LCM

$y = \frac{-5 *43+11 * 26}{26}$

$y = \frac{71}{26}$

Hence, the coordinates of D is:

$D = (\frac{43}{26},\frac{71}{26})$

3 0

3 years ago