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hammer [34]
3 years ago
15

Queston

Mathematics
2 answers:
Verdich [7]3 years ago
6 0

Answer:

$94

Step-by-step explanation:

An item is on sale $75

After a 20% discount was removed

The original amount of the item before discount was $94

Therefore 20%, of $94 is $75

Maru [420]3 years ago
3 0

Answer:

$60

Step-by-step explanation:

0.80 x 75 = $60

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This is Q2:5 Weekly Math Review
mezya [45]

Answer:

28.50+x or 28.50x

Step-by-step explanation:

6*4.75=28.50

6*x=6x or x

7 0
3 years ago
Read 2 more answers
The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis
Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

<u>For the Martinez family;</u>

2a + 3c = $60

<u>For the Wright family;</u>

3a + 5c = $95.5

Thus, the simultaneous equations are;

2a + 3c = $60 ..........equation 1

3a + 5c = $95.5 .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

<em>Substituting the value of "a" into equation 1, we have;</em>

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

<em>Substituting the value of "c" into the equation, we have;</em>

2a + 3(11) = 60

2a + 33 = 60

2a = 60 - 33

2a = 27

a = \frac{27}{2}

a = $13.5

<em>Therefore, the cost of an adult movie ticket is $13.5. </em>

5 0
3 years ago
The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
8 0
3 years ago
Which scientist discovered DNA after experimenting with white blood cells?
mart [117]
The building blocks of proteins are amino acids.
8 0
3 years ago
The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sent
Liono4ka [1.6K]

Answer:

Distance = 9.276 * 10^7 miles

Step-by-step explanation:

Given

Earth\ to\ Moon = 2.4 * 10^5 miles

Earth\ to\ Sun = 9.3 * 10^7 miles

Required

Difference in the distance of earth to sun to the distance of earth to moon

This can be solved using:

Distance = Earth\ to\ Sun - Earth\ to\ Moon

Distance = 9.3 * 10^7 - 2.4 * 10^5

Express 10⁷ as 10⁵ * 10²

Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5

Factorize:

Distance = 10^5(9.3 * 10^2 - 2.4)

Solve the expression in the bracket

Distance = 10^5(9.3 * 100 - 2.4)

Distance = 10^5(930 - 2.4)

Distance = 10^5(927.6)

Distance = 927.6 * 10^5

Expand 927.6

Distance = 9.276 * 10^2 * 10^5

Distance = 9.276 * 10^{2+5}

Distance = 9.276 * 10^7

3 0
3 years ago
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