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3 years ago

10

the graph shows the amount of money paid when purchasing bags of carmel corn at the zoo. what is the constant of proportionality

?

1 answer:

Mars2501 [29]3 years ago

4 0

Answer:

it would be pp

Step-by-step explanation:

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The mean of the scores obtained by a class of students on a physics test is 42. The standard deviation is 8%. Students have to s

NemiM [27]

<span><u><em>The correct answer is:</em></u>
16%.

<u><em>Explanation</em></u><span><u><em>: </em></u>
We use a z-score to answer this question.
<u>The formula for a z-score is:</u>
z=</span></span> $\frac{x-mue}{sigma}$ <span><span>,
where mue is the mean and sigma is the standard deviation.

<u>Using our information, we have:</u>
z=</span></span> $\frac{50-42}{8} = \frac{8}{8} = 1$ <span><span>.

Using a z-table, we see that the area to the left of, or less than, this score is 0.8413. We want to know how many students scored more than this, so we subtract from 1:
1-0.8413=0.1587, which rounds to 16%.</span></span>

7 0

3 years ago

Read 2 more answers

Bob has 6 more times than quarters. He has $1.65 in all. How many coins of each type does he have?

mrs_skeptik [129]

Answer:

3 quarters 9 dimes

Step-by-step explanation:

D=dimes

D-6=quarters

0.10 D + 0.25(D-6) = 1.65

0.10D + 0.25D - 1.5 = 1.65

0.35D = 3.15

Dibide both sides by 0.35

D =9

Q= D-6 Q = 9-6 Q=3

9*0.10 =90 3*0.25= 0.75

$0.75 + $0.90 =$ 1.65

8 0

3 years ago

3. All rational numbers are integers.

tino4ka555 [31]

Answer:

false

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A bin contains 26 markers. Four students each choose the same number of markers. If they choose as many markers as possible, how

Nitella [24]

Your're Answer:

there would be 13 markers for each student and 26 divided by 13 would be 2 so there is two markers left in the bin.

6 0

3 years ago

1)Identify the conjugate for 6 – 7√3 and explain your reasoning.

Nitella [24]

Answer:

1) The conjugate for $6-7\cdot \sqrt{3}$ is $6+7\cdot \sqrt{3}$ .

2) -111

3) It is because number and its conjugate have the same numbers but their second components are opposite to each other.

Step-by-step explanation:

1) A radical number of the form $r = a + b\sqrt{c}$ , $\forall \,a,b,c\in \mathbb{R}$ , where the first component is a non-radical real number which acts as a "pivot" and the second component is the radical component, which generates a "displacement" from pivot.

The conjugate of $r$ is a real number $s = a - b\sqrt{c}$ , $\forall \,a,b,c\in \mathbb{R}$ , which that is "pivot" plus "displacement" in the direction opposite to that of $r$ . We proceed to complement this explanation with the image attached below.

Then, the conjugate for $6-7\cdot \sqrt{3}$ is $6+7\cdot \sqrt{3}$ .

2) We proceed to performed all the need algebraic operation until result is found:

1) $(6+7\sqrt{3})\cdot (6-7\sqrt{3})$ Given

2) $6\cdot (6-7\sqrt{3})+7\sqrt{3}\cdot (6-7\sqrt{3})$ Distributive property

3) $6\cdot [6+(-7)\cdot \sqrt{3}]+7\cdot \sqrt{3}\cdot [6+(-7)\cdot \sqrt{3}]$ Definition of subtraction/ $-a\cdot b = (-a)\cdot b$

4) $6\cdot 6 +[6\cdot (-7)]\cdot \sqrt{3}+(6\cdot 7)\cdot \sqrt{3}+[7\cdot (-7)]\cdot (\sqrt{3}\cdot \sqrt{3})$ Distributive, associative and commutative properties

5) $36 +(-42)\cdot \sqrt{3}+42\cdot \sqrt{3}+(-49)\cdot 3$ Definition of multiplication/ $-a\cdot b = (-a)\cdot b$ /Definition of square root

6) $[36 +(-147)]+\sqrt{3}\cdot [42+(-42)]$ Commutative, associative and distributive properties/ $-a\cdot b = (-a)\cdot b$

7) $-111+\sqrt{3}\cdot 0$ Definition of subtraction/Existence of additive inverse

8) $-111+0$ $a\cdot 0 = 0$

9) $-111$ Modulative property/Result

3) It is because number and its conjugate have the same numbers but their second components are opposite to each other.

5 0

2 years ago