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3 years ago

1.

Mathematics

2 answers:

nignag [31]3 years ago

6 0

Answer:

16 yellow flowers

Step-by-step explanation:

$Pink: yellow\\6\:\::\:2\\\\Total\:ratio = 6+2 = 8\\\\48 \:pink\: flowers$

First calculate total no of flowers

$\frac{6}{8} \times x = 48\\\\\frac{6x}{8} =48\\\\Cross\:Multiply\\6x = 48\times 8\\6x = 384\\\\Divide\:both\:sides\:of\:the\:equation\:by\:6\\\frac{6x}{6} = \frac{384}{6} \\\\x = 64\\\\Total \:flowers = 64$

Calculate no of yellow flowers

$Total\:flowers-Pink\:flowers = Yellow\:flowers\\\\Yellow\:flowers = 64 - 48\\Yellow\:flowers =16$

ira [324]3 years ago

4 0

The answer is 16 yellow flowers

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A group of students went on a field trip. The students were divided into 6 buses and each bus had less than 52 students. How man

Vikki [24]

Answer:

A maximum of 306

Step-by-step explanation:

You can estimate that since each bus had less than 52 students, that 51 were on each bus. 51 times 6=306

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3241004551 [841]

Answer:

first option: Harulo is correct because the angle is coterminal with 3π / 4 and the reference angle is π / 4.

Explanation:

1) 19 π/4 = 4π + 3 π/4, which is 4 complete turns and 3/4 of turn.

2) 3 π/4 is in the third quadrant, so the reference angle is π - 3 π/4 = π/4

3) sin (π/4) = sin (3π/4) = (√2) / 2

4) csc (π/4) = 1 / [ sin (3π/4) ] = 1 / [ (√2) / 2 ] = 2 / (√2) = √2, which shows the validity of the statement and csc(19π/4) = √2.

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3 years ago

A test is used to assess readiness for college. In a recent year, the mean test score was 20.3 and the standard deviation was 4

Vlada [557]

Answer:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is higher tor equal to 2.

For this case we have the mean and the deviation given:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

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3 years ago

The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart.

suter [353]

The distance are

a. 42.42

b. 15. 52

<h3>How to solve for the distance</h3>

80 = 65 + <ABC

<ABC = 80 - 65

= 15

Through the use of sine rule we would have

By using sine rule,

Sine 15/a = sine 135/b =

sin 30/30.

Next we have to solve b by cross multiplying

b = (30× sin135) / sin 30

= 21.21/0.5

b = 42.42 km

Also, the value of a will be:

= (42.42 × sin 15) / sin 135

= 10.98/0.7071

= 15.52