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2 years ago

Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...

Mathematics

1 answer:

RUDIKE [14]2 years ago

4 0

The 20th term is -106

15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60

-60 + -46

-106

You're just subtracting by 6.

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Probability The average time between incoming calls at a switchboard is 3 minutes.if a call has just come in,the probability tha

Stels [109]

Answer:

a) 0.1535

b) 0.4866

c) 0.8111

Step-by-step explanation:

The probability that the next call come within the next t minutes is:

$p(t) = 1 -e ^{- t/3}$

According to this model,

a) the probability that a call in comes within 1/2 minutes is $p(t) = 1 -e ^{- (1/2)/3}$ =0.1535

b) the probability that a call in comes within 2 minutes is $p(t) = 1 -e ^{-2/3}$ =0.4866

c) the probability that a call in comes within 5 minutes is $p(t) = 1 -e ^{-5/3}$ =0.8111

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3 years ago

Solve the following: 3/4x=1/8 x/5=2.3 x/3.2=4.5

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Step-by-step explanation:

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2 years ago

Show that 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16

anygoal [31]

Step-by-step explanation:

$4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37$

$R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}$

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2 years ago

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Charra [1.4K]

Answer:

Step-by-step explanation:

Your right I think it's c

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2 years ago

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If a bus driver leaves her first stop by 7:00 a.M., her route will take less than 35 minutes. If she leaves after 7:00 a.M., she

nata0808 [166]

Answer:

r < 35 or r ≥ 43

Step-by-step explanation:

We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.

Since the time it takes to drive the route is r, then;

r < 35

Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;

r ≥ 43

Thus;

r < 35 or r ≥ 43

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3 years ago