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3 years ago

Which teacher exhibited the most variable year to year performance over this 5 year span?

Mathematics

1 answer:

kupik [55]3 years ago

3 0

Please provide the graph that represents the performance of the teacher over the span of 5 years.

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What is the y-intercept of the line given by the equation below?

Zepler [3.9K]

The answer is C. well the y intercept is -6. and it the coordinate is 0,-6

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3 years ago

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Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.

Papessa [141]

Answer:

$C=78.28^{\circ \:}$

Step-by-step explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula

$cos(C)=\frac{a^2+b^2-c^2}{2ab}$

now, we can plug values

$cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}$

$cos(C)=\frac{13}{64}$

now, we can find angle

we get

$C=78.28^{\circ \:}$

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2 years ago

Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?

Eva8 [605]

Step-by-step explanation:

I hope u are asking for average speed

average speed = total distance/total time

= 225/7.5

= 30 km/h or 30 km per hour

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2 years ago

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Leila works as a tutor for an hour and as a waitress for an hour. This month, she worked a combined total of hours at her two jo

kupik [55]

Answer:

E(t) = 5t +672 ($)

Step-by-step explanation: INCOMPLETE QUESTION

FROM GOOGLE

she earns 12 $ per hour as tutor and 7 $ per hour as waitress, this month she worked a combined of 96 hours at her two jobs

Let be t the numbers of hours Leila works as tutor this month

Answer:

If Leila worked t hours as tutor then, she worked (96 - t) hours as waitress

E(t) = 12 * t + 7 * (96-t)

E(t) = 12t + 672 - 7t

E(t) = 5t +672 ($)

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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

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

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

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

$=0.95019264$

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3 years ago