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shutvik [7]
3 years ago
14

gale's grade in science for the term is determined by the average of five test grades. his first four grades are 80, 95, 78, and

90. in order to get a b for the term, gale needs to have an average of 84. what grade must gale get on the next test to get a b for the term? write an inequality and solve.
Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

He needs at least 77 on the 5th test.

<em>T₅ ≥ 77</em>

Step-by-step explanation:

If five numbers are to average 84, then their sum must be (5 x 84) = 420 .

Gale needs his five grades to add up to 420.

So far, he has (80 + 95 + 78 + 90) =  343 .

He needs at least (420 - 343) = <em>77 more</em> points on the 5th test.

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Wkite an algebraic expression for the following verbal expression the sum of n and 5
Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

"Sum" is the result of an addition.

The sum of n and 5 means the addition of n and 5.

Answer: n + 5

8 0
2 years ago
A process produces batches of a chemical whose impurity concentrations follow a normal distribution with a variance of175. A ran
Tom [10]

Answer:

the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)

Step-by-step explanation:

since the variance  S² of the batch follows a normal distribution , then for a sample n of  20 distributions , then the random variable Z:

Z= S²*(n-1)/σ²

follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom

since

S² > 3.10 , σ²= 1.75 , n= 20

thus

Z > 33.65

then from χ² distribution tables:

P(Z > 33.65) = 0.02020

therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)

8 0
3 years ago
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Pleaseeee help me. I'm stuck on a math question.
lozanna [386]

The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

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Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

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=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

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To learn more about slope visit:

brainly.com/question/13281781

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6 0
1 year ago
What is the perimeter of this polygon?<br>A(2, 3)<br>B(-4, 0)<br>C(0,-4)<br>D(4,0)​
vovangra [49]

Answer:2,3 hope it help you

Step-by-step explanation:

4 0
2 years ago
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denis23 [38]

Answer:

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Because 36 x 6 = 192 + 3 = 195

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