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shepuryov [24]
3 years ago
8

What is the value of x?

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0
When two secant lines intersect each other outside a circle, the products of their segments are equal.

(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x² + 5x + 4x + 20 = x² + 12x + x + 12
9x - 13x = 12 - 20
-4x = -8
4x = 8
x = 2

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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed
OlgaM077 [116]

Answer:

Test is Left tailed test

Parameter tested is standard deviation

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0: σ = 8.6

Alternative hypothesis; H1: σ < 8.6

Where;σ is a constant generally known in statistics as the standard deviation.

Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.

Alternative hypothesis says σ < 8.6.

This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.

Thus, it's a left tailed test

3 0
3 years ago
What is the area around the fence if it’s 6 around and 7 length
patriot [66]

Answer:

42

Step-by-step explanation:

The formula for area is length multiplied by width

7 X 6 = 42

hope this helps :)

7 0
2 years ago
Read 2 more answers
X-5y=2 and 9x+8=15 solve by substitution
lozanna [386]
x-5y=2
Hence x=2+5y   (Equation I)
9x+8=15             (Equation II)
Substituting Equation I in Equation II
9(2+5y)+8=15
18+45y+8=15
26+45y=15
45y=-11
Hence y= - \frac{11}{45}

Substituting this in Equation in I to get X

x-5(- \frac{11}{45} )=2
x+ \frac{11}{9}=2
x= 2- \frac{11}{9}
x= \frac{17}{9}
7 0
3 years ago
It takes a ant farm 3 days to comsume 1/2 of an apple.At that rate,in how many days will the ant farm consume 3 apples?
alexgriva [62]

Answer:

18

Step-by-step explanation:

In three days, the ant farm consumed 1/2 an apple. In 6 days the ant farm will consume 1 apple. We can multiply 6 days by 3 for three apples.

6(3)=18 days

5 0
3 years ago
A flagpole 1400 cm tall is how many meters tall?
iogann1982 [59]
Your answer would be 14 meters
4 0
3 years ago
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