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Vikentia [17]
3 years ago
12

Andrew answered 21 out of 25 questions correctly on his math test. Written as a decimal, what portion of Andrew's answers were c

orrect?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0
Since we are calculating the amount that he got correct, we must divide the numerator by the denominator or make the denominator equal 100. I will do it the second way as it is easier in this case.

25*4 = 100
21*4 = 84

84/100 = 0.84

As a decimal, Andrew got 0.84 of his test correct. Hope this helps!
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A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.2 pounds and
erica [24]

Answer:

The standard deviation of the sampling distribution of sample means would be 0.8186.

Step-by-step explanation:

We are given that

Mean of population=23.2 pounds

Standard deviation of population=6.6 pounds

n=65

We have to find the standard deviation of the sampling distribution of sample means.

We know that standard deviation of the sampling distribution of sample means

=\frac{\sigma}{\sqrt{n}}

Using the formula

The standard deviation of the sampling distribution of sample means

=\frac{6.6}{\sqrt{65}}

=0.8186

Hence,  the standard deviation of the sampling distribution of sample means would be 0.8186.

3 0
3 years ago
Plz help worth 20 points
Nikolay [14]

Answer:

20cm^{2}

Step-by-step explanation:

Area=base times height

Base=4 cm, height=5

4 x 5 =20

Answer: 20cm^2

6 0
2 years ago
Read 2 more answers
Write an inequality for x that would give this isosceles triangle and perimeter of at least 137 ft. 4x+3 2x+7
neonofarm [45]

Answer:

The inequality is 8x+17\geq 137

Step-by-step explanation:

Given : The isosceles triangle with base and side 4x+3, 2x+7.

And the perimeter is at least 137ft.

To write : An inequality for x

Solution : Let the base b=4x+3 and sides s=2x+7

The perimeter of Isosceles triangle is P=2s+b

where s=side and b=base

Now, we have given that perimeter is at least 137 ft.

Therefore, the inequality form is

2(2x+7)+(4x+3)\geq 137

4x+14+4x+3\geq 137

8x+17\geq 137

5 0
3 years ago
What is the answer to this equation y=4x+8x for x
Juliette [100K]
Solve for x by simplifying both sides of the equation, then isolating the variable
x is equal to y/12
8 0
3 years ago
Read 2 more answers
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
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