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2 years ago

HELP PLS ACELLUS IM ALMOST DONE W SUMMER SCHOOOL

Mathematics

1 answer:

Alex2 years ago

8 0

Answer:

y = 95

Step-by-step explanation:

x + 120 = 180

25 + x + y = 180

flipping the first equation 180 - 120 = 60 so x is 60.

so plug in 60 into the second equation

25 + 60 + y =180 --> 85 + y =180 flip equation 180 - 85 = 95

so y is 95

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Use the simple interest formula method to calculate the future value of an annuity with annual annuity payments of $1200 at 4% i

nikitadnepr [17]

Answer:

Step-by-step explanation:

A = $2,629.35
A = P + I where
P (principal) = $1,200.00
I (interest) = $1,429.35

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2 years ago

Could someone check my answer please

Butoxors [25]

Hello there! The axis of symmetry is the vertical line where the parabola can be divided and there are two equal halves. The vertex is on that line. The point where this occurs is all in the positive range, so that eliminates B, C, and D. (0.5, 4.25) is the vertex and 0.5 is the axis of symmetry. The answer is A. Your answer is correct.

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4 years ago

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Solve triangle ABC, when A= 6, B=10 and c=12

valentinak56 [21]

Use cosine rule,

cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)

cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)

cos(C)=(a^2+b^2-c^2)/(2ab)
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3 years ago

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

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

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$=0.95019264$

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3 years ago

What is the total number of students in the dataset?

Allushta [10]

total number of student in the data set in the dataset is 90

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3 years ago

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