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Molodets [167]
4 years ago
14

The number of calories in five randomly selected 1-ounce chocolate chip cookies of various brands was measured. the recorded num

ber of calories for each cookie is: 125, 150, 185, 110, and 140. (a.) (4 pts.) calculate the mean number of calories in the cookies. include units in your final answer. show work
Mathematics
1 answer:
Troyanec [42]4 years ago
3 0
21
125 calories
150 calories
185 calories
110 calories
140 calories
___
710 / 5

142calories
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Alfred is building a slide for a new park. He wants the height of the slide to be 8 feet, and he wants the horizontal distance a
oksano4ka [1.4K]

Answer:

5ft

Step-by-step explanation:

8/10=0.8

4/0.8=5

8 0
2 years ago
The sum of two angle measures 130 degrees. The difference in the two angle measures is 12 degrees. What are the two angle measur
san4es73 [151]

Answer:

  59°, 71°

Step-by-step explanation:

This is a "sum and difference" problem. All problems of this type have the same answer: the larger of the two numbers is the average of those given.

Then the larger angle is (130 +12)°/2 = 71°. The smaller is 71° -12° = 59°.

_____

<em>More detailed solution</em>

There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...

  L + (L -D) = S

  2L = S + D . . . . collect terms, add D

  L = (S+D)/2 . . . the larger number is the average of the sum and difference

5 0
3 years ago
how many 1 1/2 centimeter cubes can fit into a rectangular prism that has a length of 12 centimeters , a width of 6 centimeters
VLD [36.1K]

The long, straightforward, brute-force way to slog through the problem:

The prism is 12cm x 6cm x 9cm.

Volume of the prism = (12 x 6 x 9) = 648 cm³

Volume of each little cube = (1.5 x 1.5 x 1.5) = 3/375 cm³

Number of little cubes that fit into the prism =  (648 cm³) / (3.375 cm³) = <em>

                                                                                     192 of them</em>


=============================================

The elegant but almost equally long way to master the problem:

The prism is 12cm x 6cm x 9cm.

If each dimension of your measuring cubie is 1.5cm,
then the prism measures

     (8 cubie lengths) x (4 cubie widths) x (6 cubie heights) .

Its volume is  (8 x 4 x 6) = <em>192 measuring cubies</em>.


8 0
3 years ago
Automobile mechanics conduct diagnostic tests on 150 new cars of particular make and model to determine the extent to which they
galben [10]

Answer: 0.0944

Step-by-step explanation:

Given : Sample size of cars : n= 150, sample size is greater than 30 , so we use z-test.

Number of cars tested do have faulty catalytic converters =42

Then the proportion of cars   have faulty catalytic converters : \hat{p}=\dfrac{42}{150}=0.28

Critical value of z for 99% confidence level : z_{\alpha/2}=2.576

Formula for Margin of error :

E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

E=(2.576)\sqrt{\dfrac{0.28(1-0.28)}{150}}\\\\=0.0944377199216\approx0.0944\ \text{Rounded to four decimal places}

Hence, the required margin of error = 0.0944

6 0
3 years ago
Select the correct texts in the table.
ra1l [238]

Based on the given texts in the table about the graph of the function, the true statements are:

  • The graph crosses the y-axis at (0,-15).
  • The graph has a point of discontinuity at x = -2.
  • The graph is increasing over the interval (4, ∞o).
  • The domain of the function is all real numbers.

<h3>Which statements are true of the graph of the function?</h3>

The function, 4x - 15 shows that 15 is the y-intercept which means that the graph will cross the y-axis at (0,15).

The point of discontinuity is x = - 2 and we see this with the gap created at x < -2 and -2 ≤ x ≤ 4.

The graph is indeed increasing over the interval (4, ∞o) because any value of x that is greater than 4 will increase f(x) = 3^x^-^4.

The domain of the function is also all real numbers as it begins at negative infinity and ends at infinity, (-∞, ∞).

Find out more on point of discontinuity at brainly.com/question/9553665.

#SPJ1

7 0
2 years ago
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