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3 years ago

1) What is the solution to x - 5 = 27?

1 answer:

3 0

X - 5 = 27

Isolate the x, add 5 to both sides (because of equal sign)

x - 5 = 27
x - 5 (+5) = 27 (+5)
x = 27 + 5
x = 32

x = 32 is your answer

hope this helps

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Help as soon as possible please

marta [7]

(3x + 5)° + (10x - 7)° = 180°

13x + (-2) = 180

13x = 180 + 2

13x = 182

x = 14

∠QRT = 3 * 14 + 5 = 42 + 5 = 47°

∠TRS = 10 * 14 - 7 = 140 - 7 = 133°

6 0

3 years ago

Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were:

Sunny_sXe [5.5K]

Answer:

Option B.

Step-by-step explanation:

The given data set is

34, 35, 41, 28, 26, 29, 32, 36, 38, 40

We need to find the mean deviation of the given data.

Number of observations, n = 10

Mean of the data is

$Mean=\dfrac{\sum x}{n}$

$Mean=\dfrac{34+35+41+28+26+29+32+36+38+40}{10}$

$Mean=\dfrac{339}{10}$

$Mean=33.9$

Formula for mean deviation is

$\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}$

$\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2$

$\text{Mean deviation}=\dfrac{41.2}{10}$

$\text{Mean deviation}=4.12$

The mean deviation of the ratings is 4.12.

Therefore, the correct option is B.

8 0

3 years ago

Read 2 more answers

42 is 9 more than 3 times a number. what is the number?

yuradex [85]

Equation: 3x+9=42

3x=42-9=33

<span>Answer: x=33/3=11

Hope this helps!!
</span>

3 0

3 years ago

Read 2 more answers

The batteries from a certain manufacturer have a mean lifetime of 850 hours, with a standard deviation of 70 hours, assuming tha

matrenka [14]

To answer (a), we will need to find the Z value for 710 hours and 990 hours.

$\begin{gathered} For\text{ 710} \\ Z\text{ = }\frac{x-\mu}{\sigma} \\ \text{ = }\frac{710-850}{70} \\ \text{ = -2} \\ p\text{ =0.0228 } \\ For\text{ 990:} \\ Z\text{ = }\frac{990-850}{70} \\ \text{ =2} \\ p\text{ = 0.9772} \end{gathered}$ $\begin{gathered} To\text{ find P \lparen–2 \le Z \le 2\rparen} \\ =\text{ 0.9772 -0.0228} \\ =\text{ 0.9544} \\ =95.44\% \end{gathered}$

B) 68% of data lies between one standard deviation of the mean.

850 +70 = 920

850 - 70 = 780

5 0

1 year ago

If asphalt pavement costs $0.70 per square foot, find the cost to pave the circular How much does it cost to pave this road?

Hunter-Best [27]

Answer:

Cost to pave the road = $4257

Step-by-step explanation:

Area of the pavement = Area of the outer circle - Area of the internal circle

Area of the outer circle = πr²

= π(55)²

= 3025π square feet

Area of the inner circle = π(33)²

= 1089π square feet

Area of the pavement = 3025π - 1089π

= 1936π

= 6082.12 square feet

Cost of pavement = $0.70 per square feet

Therefore, cost of 6082.12 square feet = 6082.12 × 0.70

= 4257.49

≈ $4257

Cost to pave the road = $4257

5 0

2 years ago