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ki77a [65]
2 years ago
8

Leo drank 8 servings of iced tea and espresso beverages containing a total of 482 mg of caffeine. How many servings of espresso

did he drink?
Mathematics
2 answers:
amid [387]2 years ago
7 0
Leo drank 2 servings of it.
TEA [102]2 years ago
3 0

Answer:

Leo drand two servings of expresso. Hope it helps

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What is the value of x in the equation below? –3 – (–8) – (–2) = x
Ghella [55]

Answer:

–3 – (–8) – (–2) = x

Step-by-step explanation:

–3 – (–8) – (–2) = x

Subtracting a negative is adding a positive

-3 +8+2 =x

Starting from left to right

5 +2 =x

7 =x

3 0
2 years ago
Which of the following estimates at a 95% confidence level most likely comes from a small sample?
dusya [7]
<span>The <u>correct answer</u> is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.

First we <u>find the value of z</u>:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
7 0
2 years ago
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x
tatyana61 [14]

Answer:

2.\ f(x) = \frac{3}{4}x^2 + 2x - 5

Step-by-step explanation:

Given

f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7

Required

Which of the above is a quadratic function

A quadratic function has the following form;

ax^2 +bx + c = 0 \ where \ a\neq 0

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

1.\ f(x) = -8x^3 - 16x^2 - 4x

This is not a quadratic function because it follows the form f(x) = ax^3 + bx^2 + c and this is different from ax^2 +bx + c = 0 \ where \ a\neq 0

2.\ f(x) = \frac{3}{4}x^2 + 2x - 5

This function has an exact match with ax^2 +bx + c = 0 \ where \ a\neq 0

By comparison; a = \frac{3}{4}\ b = 2\ and\ c = -5

3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1

This is not a quadratic function because it follows the form f(x) = \frac{a}{x^2} + \frac{b}{x} + c and this is different from ax^2 +bx + c = 0 \ where \ a\neq 0

4.\ f(x) = 0x^2 - 9x + 7

This is not a quadratic function because it follows the form f(x) = ax^2 +bx + c = 0\ but\ a = 0

Unlike the quadratic function where a\neq 0

So, from the list of given options, only 2.\ f(x) = \frac{3}{4}x^2 + 2x - 5 satisfies the given condition

5 0
2 years ago
A delivery truck is stocked with boxes of leather footballs. The graph shows the relationship between the number of footballs an
pashok25 [27]

Answer:

21

Step-by-step explanation:

To find the answer, you'd have to continue tracing the diagonal line until it intersects with the vertical line that corresponds to the number 3.

If you do that, you'll see that in3 boxes, there are 21 footbals.


You can also calculate it mathematically:

If you have 7 balls per box as shown in the graph, you just have to multiply 7 by 3 to know how many balls you'll find in 3 boxes. 7 * 3 = 21.



Hope it helped,



BioTeacher101

6 0
2 years ago
Read 2 more answers
Gordon​ Miller's job shop has four work​ areas, A,​ B, C, and D. Distances in feet between centers of the work areas​ are: A B C
andreev551 [17]

Answer: $600,600

Step-by-step explanation:

Total handling cost :

Workpiece moved * cost * distance

Work area A :

-, (5 × 22 × 900), (9 × 22 × 900), (7 × 22 × 500)

-, 99000, 178200, 77000

Work area B:

-, -, (6 × 22 × 500), (8 × 22 × 200)

-, -, 66000, 35200

Work area C:

-, -, -, (11 × 22 × 600)

-,-,-, 145200

Work area D:

-, -, -, -

Total weekly handling cost :

(99000 + 178200 + 77000 + 66000 + 35200 + 145200)

= $600,600

Kindly check attached picture for more explanation

4 0
2 years ago
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