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3 years ago

Use the figure below to answer questions 10-11.

Mathematics

1 answer:

Anton [14]3 years ago

5 0

The two marked angles are complementary angles. This means that the angles are equal.

Hence, X + 1 = 2X - 3.

By rearranging, X = 4.

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Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32,

miskamm [114]

The mean deviation of the ratings is 4.12

Explanation

The ratings of the ten experts are: 34, 35, 41, 28, 26, 29, 32, 36, 38 and 40

So, the mean of all ratings $=\frac{34+35+41+28+26+29+32+36+38+40}{10}= \frac{339}{10}=33.9$

The formula for Mean deviation $= \sum \frac{|x_{i}- \mu|}{N}$ , where $x_{i}$ is the given data from $i=1$ to $i=10$ , $\mu$ is the mean of the data and $N$ is the total number of data. So.....

$|x_{1}-\mu |= |34-33.9|=0.1\\ |x_{2}-\mu|=|35-33.9|=1.1\\ |x_{3}-\mu |=|41-33.9|=7.1\\ |x_{4}-\mu |=|28-33.9|=5.9\\ |x_{5}-\mu |=|26-33.9|=7.9\\ |x_{6}-\mu |=|29-33.9|=4.9\\|x_{7}-\mu |=|32-33.9|=1.9\\ |x_{8}-\mu |=|36-33.9|=2.1\\ |x_{9}-\mu |=|38-33.9|=4.1\\ |x_{10}-\mu |=|40-33.9|=6.1$

So, the Mean deviation $=\sum \frac{|x_{i}-\mu |}{N}=\frac{0.1+1.1+7.1+5.9+7.9+4.9+1.9+2.1+4.1+6.1}{10} = \frac{41.2}{10}=4.12$

4 0

3 years ago

A blueberry recipe calls for 1\frac{3}{4} cups of sugar. How many cups of sugar would need to make the muffin recipe 3 times?

liraira [26]

Answer:

4 3/4

Step-by-step explanation:

Just multiply 1 3/4 and 3 = 4 3/4

4 0

3 years ago

True or false ???????????????please help

Dovator [93]

1 True because 19^3 = 6859
2. False
3. True because 8000 ^1/3 can be written as 100^1/3 * 8^1/3
4 False
5 True because they are both = 15

If you have a scientific calculator you can check these out yourself

7 0

3 years ago

X/2.4+39=239 show work

grin007 [14]

Answer: x = 480

Steps: x/2.4 + 39 = 239

Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39

Simplify: x/2.4 = 200

Multiply both sides by 2.4: x/2.4 × 2.4 = 200 × 2.4

Simplify: x = 480

Plz mark brainliest:)

3 0

2 years ago

What is the variable in the algebraic expression - 9b + 11

vovangra [49]

The variable in this algebraic expression is b

3 0

2 years ago

Read 2 more answers