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SSSSS [86.1K]
3 years ago
8

6.5 more than the quotient of x and 4

Mathematics
1 answer:
n200080 [17]3 years ago
6 0

Answer:

(x/4)+6.5

Step-by-step explanation:

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A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi
Rainbow [258]

Answer:

85 \le \frac{75 + 97 + n}{3} \le 90; 83 \le n \le 98

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: \frac{75 + 97 + n}{3}.

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

85 \le \frac{75 + 97 + n}{3} \le 90

Solve for n in each statement that makes up the compound inequality:

85 \le \frac{75 + 97 + n}{3}

85 \le \frac{172 + n}{3}

Multiply both sides by 3

85*3 \le 172 + n

255 \le 172 + n

Subtract 172 from each side of the inequality

255 - 172 \le n

83 \le n

Also,

\frac{75 + 97 + n}{3} \le 90

\frac{172 + n}{3} \le 90

Multiply both sides by 3

172 + n \le 90*3

172 + n \le 270

Subtract 172 from both sides of the inequality

n \le 270 - 172

n \le 98

Combining both together, the possible values of her third quiz score would be:

83 \le n \le 98

3 0
2 years ago
The sides of the parallelogram are 63cm and 76cm. if they intersect at an angle of 63 degrees, find the area of the parallelogra
S_A_V [24]
Area =  ab Sin O
        =  (63)(76) Sin 63 degrees
        =  4266 square cm.

3 0
3 years ago
I really need help with this, if someone would help me I would be really grateful. MUST SHOW WORK!!! Please don't answer if you
vichka [17]
To convert Fahrenheit to Celsius, subtract 32 degrees and divide by 1.8.
<span>To convert Celsius to Fahrenheit, multiply by 1.8 and add 32 degrees.

</span>
7 0
3 years ago
Select the two values of x that are roots of this equation.<br> 2x2 + 7x + 6 = 0
SVEN [57.7K]
Hopes this helps:

Answer: x = -10/7

1. Simplify 2 • 2 to 4
4 + 7x + 6 = 0

2. Simplify 4 + 7x + 6 to 7x + 10.
7x + 10 = 0

3. Subtract 10 from both sides.
7x = -10

4. Divide both sides by 7.
X = -10/7
3 0
3 years ago
Express the confidence interval (0.036, 0.086) in the form of p-e&lt; p
lina2011 [118]

Answer:

p-e< p < p+e

(0.061 - 0.025) < 0.061 < (0.061 + 0.025)

0.036 < 0.061 < 0.086

Step-by-step explanation:

Given;

Confidence interval CI = (a,b) = (0.036, 0.086)

Lower bound a = 0.036

Upper bound b = 0.086

To express in the form;

p-e< p < p+e

Where;

p = mean Proportion

and

e = margin of error

The mean p =( lower bound + higher bound)/2

p = (a+b)/2

Substituting the values;

p = (0.036+0.086)/2

Mean Proportion p = 0.061

The margin of error e = (b-a)/2

Substituting the given values;

e = (0.086-0.036)/2

e = 0.025

Re-writing in the stated form, with p = 0.061 and e = 0.025

p-e< p < p+e

(0.061 - 0.025) < 0.061 < (0.061 + 0.025)

0.036 < 0.061 < 0.086

6 0
3 years ago
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