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Tpy6a [65]
2 years ago
10

Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off

Mathematics
1 answer:
alekssr [168]2 years ago
8 0

Step-by-step explanation:

Hello!

<u>         Part A            </u>

Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.

<u>         Part B            </u>

Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost

64 - 6.40 = 57.6

57.6 - 6.40 = 51.2

51.2 - 6.40 = 44.8

44.8 - 6.40 - 38.4

The price of the coat is $38.4

Hope this helps!

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400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Conduct a hypothesis tes
melomori [17]

Answer:

The sample proportion represents a statistically significant difference from 50%

Step-by-step explanation:

Null hypothesis: The sample proportion is the same as 50%

Alternate hypothesis: The sample proportion is not the same as 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 289/400 = 0.7225

p is population proportion = 50% = 0.5

n is number of students sampled = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.

Conclusion:

Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.

There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.

3 0
2 years ago
Which step shows the result of applying the subtraction property of equality? One-fourth (12 x + 8) + 4 = 3 Step Solution 1 3 x
luda_lava [24]

Answer:

Step-by-step explanation:

Given the equation 1/4 (12 x + 8) + 4 = 3, to fnd the result of the equation, the following steps must be followed.

Step 1: Expand the bracket at the left hand side of the equation using the distributive property.

1/4 (12 x + 8) + 4 = 3

\frac{1}{4} (12x)+\frac{1}{4}(8) + 4 = 3\\ 3x+2+4 = 3\\3x+6=3

Step 2: Subtract 6 from both sides of the equation

3x+6-6 = 3-6\\3x  =-3\\x = \frac{-3}{3}\\ x = -1

3 0
2 years ago
Read 2 more answers
Circle the common factors of 18W and 30WZ
Alex

Answer:

6, 6w, 3w, z and w.

Step-by-step explanation:

The common factors are those values that can divide 18w and 30wz perfectly.

Take a look at 6, 6 can divide both perfectly to give 3w and 5wz respectively.

We move on to 6w, this can also work perfectly to yield 3 and 5z.

6xz is not a factor as both values do not contain any x term.

3z is not a factor. Although 30wz has a z term, 18w does not.

3w is a factor as it can give 10z and 6 when used to divide the terms.

Z is not a factor as the 18w term does not contain a z term.

10w is not a term as it can not divide 18w perfectly

w is a term as it can divide both 18w and 30wz perfectly to yield 18 and 30z respectively.

6 0
2 years ago
Frogs a b c d had a jumping relay race how many centimeters did they jump altogether ? 27 centimeters 34, 25, 28?
inysia [295]
114.
Just add all of them and that's it :)
6 0
2 years ago
Amelia and Elliott are collecting empty soda cans for recycling. Amelia has 13 less than 5 times the cans that Elliott has. Toge
xeze [42]

Answer:

D.) Elliott has 212 cans, Amelia has 45 cans

Step-by-step explanation:

257 = x + (5x - 12)

257 = 6x - 13

+13           +13

270 = 6x

/6        /6

45 = x     (the amount of Amelia's cans)


257 - 45 = 212  (the amount of Elliott's cans)


please rate and thank : )

6 0
2 years ago
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