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ella [17]
2 years ago
4

Helen's Honey Hut supplies 20 jars of honey per week when the price of honey is $6 per jar and supplies 30 jars per week when th

e price of is $8 per jar, so the price elasticity of supply over this price range is 1.4. a. True b. False
Mathematics
1 answer:
Papessa [141]2 years ago
8 0

Answer:

False.

Step-by-step explanation:

Given that,

When price of honey = $6 per jar then the supply = 20 jars of honey

When price of honey = $8 per jar then the supply = 30 jars of honey

Therefore,

Elasticity of supply:

=\frac{Change\ in\ quantity}{Change\ in\ price}\times\frac{Initial\ price}{Initial\ quantity}

=\frac{(30-20)}{(8-6)}\times\frac{6}{20}

=\frac{10}{2}\times\frac{6}{20}

      = 1.5

Therefore, the statement is false.

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Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name
sattari [20]

Answer:

Given: A triangle ABC and a line DE parallel to BC.

To prove: A line parallel to one side of a triangle divides the other two sides proportionally.

Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have

∠A=∠A (Common)

∠ADE=∠ABC (Corresponding angles)

Thus, by AA similarity, ΔABC is similar to ΔADE, therefore

AB/AD= AC/AE

⇒AD+DB/AD = AE+EC/AE

⇒1+DB/AD = 1+ EC/AE

⇒DB/AD = EC/AE

Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.

⇒Therefore Proved

Hope this helps!!!

3 0
2 years ago
The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that
Katena32 [7]

Answer:

Step-by-step explanation:

Malcolm's transformation:

First, the blue image is reflected about the line y=-5

Then it is rotated 180 degrees around the point (0,-5)

(you can have other options this is just one example)

Ursa's transformation:

The blue image is reflected about the y axis

(you can have other options this is just one example)

4 0
2 years ago
Read 2 more answers
A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until
IrinaK [193]

Answer:

the mle of P=0.833

Step-by-step explanation:

X=incorrect answer

And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

3 0
2 years ago
Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
mixer [17]

Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of
miv72 [106K]
L=5/2*2w=5w
P=(5w+w)*2=12w
Perimeter is 12w
7 0
2 years ago
Read 2 more answers
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