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Roman55 [17]
3 years ago
7

You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will

allow you to advance
Mathematics
1 answer:
lianna [129]3 years ago
4 0

Answer:

At least 98 is needed in the 5th game

Step-by-step explanation:

The missing parameters are:

Game\ 1 = 95

Game\ 2 = 91

Game\ 3 = 77

Game\ 4 =89

Mean = 90 at least

Required

The score in game 5 to make you advance

Mean is calculated as:

Mean = \frac{\sum x}{n}

So, we have:

Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}

Mean = \frac{352 + Game\ 5}{5}

The mean must be at least 90.

So, we have:

\frac{352 + Game\ 5}{5} \ge 90

Multiply both sides by 5

5 * \frac{352 + Game\ 5}{5} \ge 90 * 5

352 + Game\ 5 \ge 450

Make Game 5 the subject

Game\ 5 \ge450 - 352

Game\ 5 \ge 98

<em>At least 98 is needed in the 5th game</em>

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The <em><u>correct answer</u></em> is:

D) Closed circle on 8, shading to the right.

Explanation:

First we must solve the inequality:

x - 3 ≥ 5

Add 3 to each side:

x - 3 + 3 ≥ 5 + 3

x ≥ 8

To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.

Since it is "greater than," we want the numbers to the right of 8 on the number line.

This means the inequality will be a closed circle and shaded to the right.

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Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

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2 years ago
One day a store sold 21 sweatshirts. white ones cost​ $9.95 and yellow ones cost $ 11.50. in​ all, ​$235.30 worth of sweatshirts
FromTheMoon [43]
For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
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Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

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