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alexandr402 [8]
3 years ago
7

Solve for x in this circle.

Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

Step-by-step explanation:

7*(7 + x+1) = 6*(x + 5 + 6)       {Intersecting secant theorem}

7 *(x + 8) = 6*(x + 11)

Distributive property,

7x + 56   = 6x + 66

Subtract 56 from both sides

7x = 6x + 66 - 56

7x = 6x + 10

Subtract 6x from both sides

7x - 6x = 10

x = 10

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0.2y + 7 = 24 please help
zzz [600]
First multiply the equation by 5 to get y by itself.
y+35=120
Then subtract 35 from each side to get the integer by itself.
So, final answer:
y=85
8 0
3 years ago
Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1,5).
lisov135 [29]

Answer:

Step-by-step explanation:

y=a(x-0)(x-2)

=a(x^2-2x)

=a(x^2-2x+1-1)

or y=a(x-1)^2-a

(1,5) lies on it.

5=a(1-1)^2-a

5=0-a

or a=-5

so y=-5(x-1)^2+5

8 0
3 years ago
Consider random samples of size 58 drawn from population A with proportion 0.77 and random samples of size 70 drawn from populat
fredd [130]

Answer:

Step-by-step explanation:

a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as

Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}

where

p1 = sample proportion of population 1

p2 = sample proportion of population 2

n1 = number of samples in population 1,

n2 = number of samples in population 2,

From the information given

p1 = 0.77

1 - p1 = 1 - 0.77 = 0.23

n1 = 58

p2 = 0.67

1 - p2 = 1 - 0.67 = 0.33

n2 = 70

Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}

= √0.1/(0.0031 + 0.0032)

= √1/0.0063

= 12.6

the standard error of the distribution of differences in sample proportions is 12.6

b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30

8 0
3 years ago
Given that f(x)=x^2-3x-54 and g(x)=x+6, find (f•g)(x) and express the result in standard form
love history [14]

Answer:

׳+3ײ-72×-324

Step-by-step explanation:

I hope it help

7 0
2 years ago
Classify the product as a whole number
ch4aika [34]
Let's solve for the answer to determine if it is rational.  

\frac{-2 \frac{2}{5} }{-4}=12/5/4= \frac{3}{5} 


 it is a rational number.
4 0
3 years ago
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