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3 years ago

1. Compare the expressions using <, >, or =. Show all of your work.

Mathematics

2 answers:

Effectus [21]3 years ago

4 0

(14-6) =8
(6-2)=4
8/4=2
(10-8)=2
2*4=8
-2*2=-4
8-4=4
2<4

Liula [17]3 years ago

3 0

(14-6)÷(6-2)___ 4×(10-8)-2×2
8 4 2
8÷4 __ 4×2-2×2
0
2 < 8

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What times what equals -30 but also can be added together and equal -4

Step2247 [10]

Answer:

Step-by-step explanation:

xy=-30

y=-30/x

x+y=-4

x-30/x=-4

x²-30=-4x

x²+4x-30=0

$x^2+4x-30=0\\x=\frac{-4\pm\sqrt{16+120} }{2} \\=\frac{-4\pm\sqrt{136} }{2} \\=-2\pm\sqrt{39} \\=-2+\sqrt{39} ,-2-\sqrt{39} \\y=\frac{-4}{-2+\sqrt{39} } ,\frac{4}{2+\sqrt{39} }$ $correction write ~-30 ~in~place~of~-4~in~the~end$

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3 years ago

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The answer here would be D

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3 years ago

Robert says his better long jump was about 1 foot farther than May's better long up. Is he correct? Explain.

Alborosie

We need mor information to tell what there best long jumps are

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2 years ago

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In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll

maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

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3 years ago

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph

tensa zangetsu [6.8K]

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function $f(x)=x^3$ , and then transform it into the function: $g(x)=(x-4)^3-7$

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

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2 years ago

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