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2 years ago

Write two equivalent expressions to represent the sum of the angles of this triangle.

Mathematics

2 answers:

bagirrra123 [75]2 years ago

7 0

$\qquad\qquad\huge\underline{{\sf Answer}}$

As we know, Sum of all three Angles of Triangle is equal to 180° [ by Angle sum property of triangle ]

So, the required expression is :

$\qquad \tt \dashrightarrow \:5y + 2y + 2y = 180$

$\qquad \tt \dashrightarrow \:9y = 180$

if you solve for y, you will get y = 20°

And the angles as 100°, 40° and 40°

Aleksandr [31]2 years ago

6 0

Answer:

Step-by-step explanation:

The 3 angles add up to 180 degrees

2y + 2y + 5y = 180

9y = 180

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John filled his car gas tank with 21 gallons of gas. He paid $54.39. What was the price of 1 gallon

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Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

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Answer:

2x² + 6 = 34x

Step-by-step explanation:

2x² - 10x + 6 = 24x

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2x² + 6 = 24x + 10x

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3 years ago

What is the square root of 64

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Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probabili

ivolga24 [154]

Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

Mean, $\mu$ = n $\times$ p

= 36 $\times$ 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

Standard deviation, $\sigma$ = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{36 \times 0.75 \times (1-0.75)}$

= $\sqrt{6.75}$ = 2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

$\mu - 2 \sigma$ = 27 - (2 $\times$ 2.6)

= 27 - 5.2 = 21.8

$\mu + 2 \sigma$ = 27 + (2 $\times$ 2.6)

= 27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

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2 years ago

What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%

Marat540 [252]

Answer: 63%

Step-by-step explanation:

<u>First step</u>

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

$\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37$

x = 37%

<u>Second step - Survival rate</u>

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

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2 years ago