A student has earned the following scores on four 100-point tests this marking period: 63, 72, 88, and 91. What score must the student earn on the ﬁfth and ﬁnal 100-point test of the marking period to earn an averagetest grade of 80 for the ﬁve tests?

Answers

Answer 1

Answer: In order to have average 80 score from 5 tests, student needs to have 400 points (80%*500=0.8*500=400)
So far he has 63+72+88+91= 314
400-314=86

He needs to get 86 points from the last test.
Since he is obviously getting better at tests, i think he'll manage :)

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1. Name two angles that are supplementary to ∠DOE.2. Name a pair of complementary angles.
3. Name two pairs of vertical angles.

Answers

Two angles, namely ∠AOE and ∠COD, are supplementary to angle ∠DOE.

A pair of complementary angles consists of angles ∠BOC and ∠COD.

Two pairs of vertical angles are ∠AOE and ∠COD.

What are supplementary angles

When two angles are supplementary, it means that the sum of their measures is 180 degrees.

In this case, the angles ∠AOE and ∠COD are stated to be supplementary to angle ∠DOE. This implies that if you were to add the measures of ∠AOE and ∠COD together, their sum would be 180 degrees, which is the definition of supplementary angles.

Complementary angles are angles whose measures add up to 90 degrees. In the statement, the angles ∠BOC and ∠COD are identified as forming a pair of complementary angles.

Vertical angles are a pair of non-adjacent angles formed by intersecting lines. In the statement, the pairs of vertical angles are given as ∠AOE and ∠COD.

Learn more about Complementary angles

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Answer:

explain please and thank you

Two cards are drawn in succession from a pack of 52 well-shuffled cards. find the probability that :1) only the first card is a king
2) first card is a jack of diamonds or a queen 3) at least one card is a picture card
4)not more than one card is a picture card
5) the cards and not of the same suit
6) the second card is not a heart
7) the second card is not a heart given that the first card is a heart
8) the cards are Aces or diamond or boats

Answers

Probabilities:
1) 4/52 * 48/51 = 192/2652 = 16/221
( explanation : 4- the number of kings, 52- the number of all cards on the pack, 48 - the number of other cards, 51- the number of cards that remain after picking first card)
2) (1/52+4/52) * 51/51 = 5/52 * 1 = 5/52
( in brackets are probabilities that 1st card is jack diamond or a queen )
3) 12/52 * 11/51 + 12/52 * 40/51 + 40/52 * 12/51= 91/221
( first is the probability that there are no picture cards, then one picture card: probability 12/52 * 40/51 that 1st is picture card and 40/51 * 12/52 that 2nd is a picture card)
4) 40/52 *39/51 + 12/52 *40/51 + 40/52 * 12/51= 210/221
5) 13/52 * 39/51= 169/884
( first is one suit and 2nd is another)
6) 39/52 * 38/51 + 13/52 + 39/51= 19/34
7)13/52 * 39/51 = 13/68
8) 4/52 * 3/51 + 13/52 * 12/51 + 4/52 * 12/51 + 1/51 =29/663

Equation of the line (0,1),(2,5),(3,7)

Answers

Simple...

since this is a parabola...the equation is..

y=2x+1

Thus, your answer.

After 3 years what is the total amount of an investment of $1500 in an account paying 3.5% interest, compounded quarterly?A.)$1665.31
B.)$1724.36
C.)$1908.42
D.) $2266.60

Answers

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Let y be a function of x such that 2x-3y=6. What is the rate if change of y with respect to x?

Answers

2x - 3y = 6
first, isolate y:
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y = (2/3)x - 2
This is a linear function in standard form, so we know that the slope (in this case the rate of change of y in respect to x) is 2/3

Evaluate. f(x) = 2x - 1, f(2)

Answers

Answer:

f(2) = 3

Step-by-step explanation:

Substitute 2 for x, and evaluate the expression.

f(x) = 2x - 1

f(2) = 2(2) - 1

f(2) = 4 - 1

f(2) = 3

answer: so, f(x)=2(2)-1
which will be =3 so answer is 3

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