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4 years ago

5

Joe says shapes with the same area always have the same perimeter. Sue says you can make two shapes with the same area that have

different perimeters. Who’s right?
A. Joe is right.
B. Sue is right.
C. Both are wrong.
D. Both are right.

1 answer:

lana [24]4 years ago

8 0

Sue is right...

Ex. area of 40
One shape can be 8 x 5
other shape can be 2 x 20.....

perimeter is different for both

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A potato chip manufacturer produces bags of potato chips that are supposed to have a net weight of 326 grams. Because the chips

marusya05 [52]

When we take data at work, we always do it over a period of time. To me, just one sample set does not show enough data to come to that conclusion. Also it is one batch of bags. I think you would need to have an average of data from different batches & samples to prove your data is accurate and support your claim.

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3 years ago

A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

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3 years ago

a copy shot prints 5,493 pages they use the pages to make 68 same size booklets about how many pages are in each booklet

Aliun [14]

Answer:

80 pages

Step-by-step explanation:

Given:

Number of pages printed = 5493

Number of booklets made = 68

Let each booklet use 'x' pages.

So, pages used by 68 booklets is given by unitary method and is equal to:

$=68\times x\\=68x$

Now, total number of pages are 5493.

Therefore, the pages used by the 68 booklets should be less than or equal to the total number of pages available. So,

$68x=5493\\\textrm{Dividing both sides by 68,we get:}\\x=\frac{5493}{68}=80.8\approx 80(\textrm{As number of pages can't be in decimal})$

Therefore, the number of pages in each booklet is 80.

3 0

3 years ago

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $2; if

Kipish [7]

Answer:

E(Y) = $0.5

Var(Y) = 14.25

you should pay the same amount $0.5

Step-by-step explanation:

E(Y) = = Σ(YP)

P = probability of each outcomes.

Var(Y) = Σ $Y^{2}$ p − (μ x μ)

E(Y) = (2 x 0.25) +(6 x 0.25) + (0.5 x (-3)) = $0.5

Var(Y) = ( $2^{2}\\$ x 0.25) + ( $6^{2}$ x 0.25) +( $-3^{2}$ x 0.5) - ( $0.5^{2}$ )

= 14.5 - 0.25

Var(Y) = 14.25

for the difference between the payoff and cost of playing to have mean 0, you should pay the same amount $0.5

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3 years ago

Choose the correct simplification of (9xy^5)^2.

Grace [21]

Answer:

D) 81x²y¹⁰

Step-by-step explanation:

(9xy⁵)²

Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.

(9)² = 81

(x)² = x²

(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.

Now combine the components.

D) 81x²y¹⁰

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3 years ago