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3 years ago

Can someone please help me! Big ideas 8.4 number 16

Mathematics

1 answer:

8_murik_8 [283]3 years ago

3 0

<h3>Answer: 24.5 </h3>

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Explanation:

It might help to draw it out. See the diagram below.

The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.

Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.

The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.

Now we can find the area of the triangle

area = base*height/2

area = 7*7/2

area = 49/2

area = 24.5 square units

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Last night, the two dinner specials at Bob's favorite restaurant were salmon filet and filet mignon. The restaurant served 70 sp

julia-pushkina [17]

Based on the given parameters, the number of filet mignon the restaurant served is 14

<h3>How to determine the number of filet mignon the restaurant served?</h3>

From the question, the given parameters are:

Dinner specials = salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets = 80%

This means that the proportion of filet mignon is

filet mignon = 100%- Salmon filets

This gives

filet mignon = 100%- 80%

Evaluate the difference

filet mignon = 20%

The number of filet mignon is calculated as:

filet mignon = 20% * Dinner specials

Substitute the known values in the above equation

filet mignon = 20% * 70

Express 20% as decimal

filet mignon = 0.20 * 70

Evaluate the product

filet mignon = 14

Hence, the number of filet mignon the restaurant served is 14

So, the complete parameters are:

Dinner specials = salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets = 80%

filet mignon = 14

Read more about proportions at:

brainly.com/question/1781657

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6 0

11 months ago

The essay lengths of 29 randomly sampled essays are used to estimate the mean of the population. What t-score should be used to

slavikrds [6]

Answer:

A t-score of 1.701 should be used to find the 95% confidence interval for the population mean

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 29 - 1 = 28

Now, we have to find a value of T, which is found looking at the t table, with 28 degrees of freedom(y-axis) and a confidence level of 0.95( $t_{95}$ ). So we have T = 1.701.