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Doss [256]
3 years ago
14

The cost of a jacket increased from $85.00 to $94.35. What is the percentage increase of the cost of the jacket?

Mathematics
1 answer:
Serggg [28]3 years ago
8 0
It's an 11% increase. To find this,  you have to subtract 85 from 94.35 and then you divide that difference by the original amount. In this case it's 85. After that, you get .11. Then you just turn it into a percent.
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Find mMK................
Gnesinka [82]

Answer:

Approximately mMK is 53 degrees

Step-by-step explanation:

Here, we want to find the length of MK

As we can see, we have a right triangle at LNK

so

let us find the angle at L first

9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L

so the trigonometric identity that connects adjacent to the hypotenuse is the cosine

It is the ratio of the adjacent to the hypotenuse

So;

cos L = 9/15

L = arc cos (9/15)

L = 53.13 degree

Approximately, L = 53 degrees

so now, we want to get the arc length MK

We are to use the angle-arc relationship here

Using this; arc length MK is equal to the measure of L at the center which is 53 degrees

3 0
2 years ago
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Tanya [424]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A.Sum of integer and its additive inverse is ___________.B.Sum of -22 and -44 is ______________.C.-36 ÷ ( ___)=-9d._________ is
Ede4ka [16]

Answer:

  A. 0

  B. -66

  C. 4

  D. 998

  E. -12

Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

__

B. If you have trouble with sums, your calculator can help.

  -22 + (-44) = -22 -44 = -66

__

C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

  -36 = -9x

  -36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

__

D. The absolute value function changes the sign of negative numbers to positive:

  |-998| = 998

__

E. If you have trouble with sums, your calculator can help.

  (−2)−[(−3)−(−7)−(−6)]

  = -2 -(-3 +7 +6) = -2 -10 = -12

4 0
2 years ago
I kind of understand this question, but I'm not sure how to answer it directly, can someone help please.
nordsb [41]
So here we use the pythagorean theorem which is a2 + b2 = c2 (“a” squared times “b” squared equals “c” squared) the length from calvins house to the intersection is “a” and the length from phoebes house to the intersection is “b” so in order to find out the length of “c” (calvins house to phoebes house) we need to use the pythagorean theorem

a2 275x275=75,625

b2 113x113 = 12,769

so now that we have figured out what a2 and b2 are let’s add them

75,625 + 12,769 = 88,394

now since we only need to find out the length and not the area we need to find the square root of 88,394

the square root of 88,394 is 297.311 (i cut off the decimal after three places)

the direct length from phoebes house to calvins is 297.311 meters
5 0
3 years ago
We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3
faust18 [17]

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

3 0
3 years ago
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