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3 years ago

Please help me with number 13 and 14

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

Answer:

13: Irrational

14: 1.091 x 10 with a exponent of 9

mamaluj [8]3 years ago

6 0

Answer:

$the \: first \: one \: is \: irrational \: numbe \: and$

$the \: second \: one \: is \: 1.091 \times {10}^{9}$

Step-by-step explanation:

Rational number do not include radical numbers

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Explain how you would find the perimeter of this triangle.

Lynna [10]

Answer:

15.4

Step-by-step explanation:

$\frac{u}{4}$ = tan51.3° ⇒ u = 4tan51.3° ≈ 5

$\frac{4}{v}$ = cos51.3° ⇒ v = $\frac{4}{cos51.3}$ ≈ 6.4

P ≈ 4 + 5 + 6.4 = 15.4

4 0

2 years ago

Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the pro

lisov135 [29]

Answer:

0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.

The sketch is drawn at the end.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 0°C and a standard deviation of 1.00°C.

This means that $\mu = 0, \sigma = 1$

Find the probability that a randomly selected thermometer reads between −2.23 and −1.69

This is the p-value of Z when X = -1.69 subtracted by the p-value of Z when X = -2.23.

X = -1.69

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{-1.69 - 0}{1}$

$Z = -1.69$

$Z = -1.69$ has a p-value of 0.0455

X = -2.23

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{-2.23 - 0}{1}$

$Z = -2.23$

$Z = -2.23$ has a p-value of 0.0129

0.0455 - 0.0129 = 0.0326

0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.

Sketch:

3 0

3 years ago

To convert a capacity of 8.7 gallons to quarts which ratio could you multiply by

guajiro [1.7K]

A- 4 quarts over 8.7 gallon

B- 1 gallon over 4 quarts

C- 8.7 gallons over 4 quarts

D- 4 quarts over 1 gallonUpdate: Remember that 1 gallon = 4 quarts

6 0

3 years ago

A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. T

Angelina_Jolie [31]

Answer:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

b + g + m = 1020

b = 2g

m = b + 225

The number of balcony tickets = 318

The number of gallery tickets = 159

The number of main floor tickets = 543

Step-by-step explanation:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

i) Therefore we can write b + g + m = 1020

ii) there were twice as many balcony tickets sold as gallery tickets

therefore b = 2g $\Rightarrow$ g = 0.5b

iii) there were 225 more main floor tickets than balcony tickets

therefore m = b + 225

iv) using equation ii) and equation iii) in equation i) we can write

b + g + m = b + 0.5b + b + 225 = 1020 $\Rightarrow$ 2.5b = 795 $\Rightarrow$ b = 318

v) g = 0.5 b = 0.5 $\times$ 318 = 159

vi) m = b + 225 = 318 + 225 = 543

5 0

4 years ago

Read 2 more answers

Whats the y intercept y=.25x + .30

BigorU [14]

the Y intercept is .30

5 0

3 years ago