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Free_Kalibri [48]
3 years ago
13

Need help with this question asap!!

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0
X would equal the first option, 6.

As lines AC and BD are parallel, we can say that angles FGC and GHD are equal as corresponding angles, which are angles that are formed by an 'F' shape, are equal. This means we can write an equation and solve it:

5x - 10 = 3x + 2
- 3x
2x - 10 = 2
+ 10
2x = 12
÷ 2
x = 6

I hope this helps!
snow_tiger [21]3 years ago
5 0
The correct answer is x=6
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Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

8 0
3 years ago
Ella used three fourths of lemons to make one half liters of lemonade. If ella's recipe is for 1 liter of lemonade, how many lem
DiKsa [7]

Answer:

the number of lemons required is 6

Step-by-step explanation:

The computation of the number of lemons she required to make the 4 times the receipe is shown below;

Given that

She used three fourth of lemons for make one half liters of lemonade

Now for four times she required the lemons

= (3 ÷ 4) × 2 × 4

= 6

Hence, the number of lemons required is 6

8 0
2 years ago
Please help if you can!
Assoli18 [71]
I think they would go to the rational numbers
6 0
2 years ago
Which of the following functions is graphed below?
Varvara68 [4.7K]

Answer:

what  are you trying to ask?

Step-by-step explanation:

8 0
3 years ago
Let f(x)=x^2 and g(x)=x-2. Find (fog)(-3).​
Mnenie [13.5K]

Answer:

7

Step-by-step explanation:

(x-2)^2

x^2-4x+4

-3^2-4(-3)+4=7

4 0
3 years ago
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