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s344n2d4d5 [400]
2 years ago
10

The sum of three consecutive numbers is 99. What is the smallest number??

Mathematics
2 answers:
Sunny_sXe [5.5K]2 years ago
6 0

Answer:

32 is the smallest number

Step-by-step explanation:

Let  the numbers  be X, X + 1, X + 2

X + (X + 1) + (X + 2) = 99

X + X + X + 1 + 2 = 99

3X + 3 = 99

3X = 99 - 3

3X = 96

X = 96/3

X = 32

erica [24]2 years ago
3 0

Answer:

32

Step-by-step explanation:

The three consecutive numbers are: 32, 33, 34

They add up to 99

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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
1 Point
Paha777 [63]

Answer:

A

Step-by-step explanation:

f(x)=5^{3x}

Horizontal asymptote: y = 0

Exponential growth.

5 0
3 years ago
Reasoning 1f 60% of the registered voters cast 202,800 votes in an election, how many registered voters
Nana76 [90]

Answer:

338,000

Step-by-step explanation:

202800 is to 338000 like 60% is to 100%

hope that helps lol (did it with my mouse so looks awful)

3 0
2 years ago
Solve. Justify your responses. a Given:a║b and c║d, m∠ 4=35° Find: m∠1, m∠2, and m∠3
STALIN [3.7K]

Answer:

<em>m∠1 =  90°</em>

<em>m∠2 = 35°</em>

<em>m∠3 = 55°</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

m

Given that <4 = 35°

m

The sum of the angle on a straight line at point A is 180°. Hence:

90+m

The sum of angle in the triangle ABC is 180°, hence;

m

7 0
2 years ago
Please help 10 points
Wittaler [7]

Answer:

A: answer is 0 because anything to the power of 0 is 1

B: 0 or 1 because 1 to the power of 1 is 1 and 1 to the power of 0 is also 1

3 0
3 years ago
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