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Rom4ik [11]
3 years ago
7

The measurement of the angles of RSC are given by the expression in the table

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

31 + x + 4 + 3x + 9 = 180, that is

4x + 44 = 180 ( subtract 44 from both sides )

4x = 136 ( divide both sides by 4 )

x = 34

Thus

∠ S = x + 4 = 34 + 4 = 38°

∠ T = 3x + 9 = 3(34) + 9 = 102 + 9 = 111°

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I did 14a already. How do I do 14b? <br> y = 0.167x - 0.467
lilavasa [31]

T probability of rolling doubles after 45 tosses is 0.156

<h3>How to determine the regression equation?</h3>

To do this, we enter the data values in a graphing calculator.

From graphing calculator, we have the following summary:

  • Sum of X = 550
  • Sum of Y = 87
  • Mean X = 55
  • Mean Y = 8.7
  • Sum of squares (SSX) = 8250
  • Sum of products (SP) = 1375

The regression equation is

y = bx + a

Where

b = SP/SSX = 1375/8250 = 0.16667

a = MY - bMX = 8.7 - (0.17*55) = -0.46667

So, we have:

y = 0.16667x - 0.46667

Approximate

y = 0.167x - 0.467

When the number of tosses is 45, we have:

y = 0.167 * 45 - 0.467

Evaluate

y = 7.048

Approximate

y = 7

45 tosses gives 7 doubles.

So, the probability is:

P = 7/45

Evaluate

P = 0.156

Hence, the probability of rolling doubles after 45 tosses is 0.156

Read more about regression equation at:

brainly.com/question/14184702

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3 0
2 years ago
If the circumference of a circle is x, then what is the area of the circle in terms of x?
grandymaker [24]

Answer:

x^2 / 4pi

Step-by-step explanation:

The area of a circle is (pi x r)^2

The circumference of a circle is 2pi x r

The find the radius, you need to divide x by 2pi, so x / 2pi

Then just plug it in as the radius:

(pi x (x / 2pi))^2 = x^2 / 4pi

7 0
3 years ago
8. It takes Olivia 3 | yards of ribbon
Leokris [45]

Answer:

21 yards

Step-by-step explanation:

3 yards for 1 mum

3*7 yards for 7 mums

21 yards for 7 mums

I don't know if this is what you mean but here have this

7 0
3 years ago
Find the scale factor,and find the unknown side lengths.<br> Help if you can please
Burka [1]

Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

5 0
4 years ago
An inventor receives 4% of the cost of every product a company sells. If the company sells $5,000 worth of product, how much doe
andrew-mc [135]

Answer:

The investor receives $200

Step-by-step explanation:

In order to find this, simply multiply the percentage by the total amount.

$5,000 * 4%

$5,000 * .04

$200

4 0
3 years ago
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