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3 years ago

Convert 4π/3 radians to degrees. 1. 135° 2. 180° 3. 240° 4. 60°

Mathematics

2 answers:

fredd [130]3 years ago

7 0

Answer:

Step-by-step explanation:

180*4/3

it is by the mathematical thinking.phi radian is equal to 180 degree.

Ostrovityanka [42]3 years ago

5 0

Answer; #3, 240 would be your correct answer

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The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a

AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

Let X = time for this event for boys in secondary school

SO, X ~ Normal( $\mu=460,\sigma^{2} =40^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 460 seconds

$\sigma$ = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;

P(X > x) = 0.10 {where x is the required time which boy need to beat}

P( $\frac{X-\mu}{\sigma}$ > $\frac{x-460}{40}$ ) = 0.10

P(Z > $\frac{x-460}{40}$ ) = 0.10

So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;

$\frac{x-460}{40} =1.2816$

${x-460}{} =1.2816\times 40$

$x$ = 460 + 51.264 = 511.264 seconds

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0

2 years ago

(answer fast please, thanks!)

Pachacha [2.7K]

Answer:

$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough

Step-by-step explanation:

We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.

Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.

First equation for Mike: 12a + 3b = 225

Second equation for Shawna: 6a + 11b = 293

Next we isolate b from Mike's equation: b = 75 - 4a

Then we plug this equation into Shawna's equation and we get:

6a + 11(75 - 4a) = 293

Solving for a would get us 14, or $14 for one chocolate chip cookie dough.

If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.

Hope this helped!

5 0

2 years ago

Maria is installing gutters on her rectangular shed that measures 10 ft by 9 ft she has 23 ft of gutter already and need to purc

Paha777 [63]

Answer:

Maria needs 3 lengths of gutter of finish the shed.

Step-by-step explanation:

We need to calculate the perimeter of the rectangular shed to know how much 5 feet gutter is needed.

The perimeter of the shed is p = 2(l + b) where l = 10ft and b = 9 ft

p = 2(10 + 9) = 2(19) = 38 ft

Now, the perimeter of the shed also equal 23 ft of gutter already installed plus 5x ft gutter where x = number of gutters.

So 23 + 5x = 38

collecting like terms, we have

5x = 38 - 23

5x = 15

dividing through by 5 we have

5x/5 = 15/5

x = 15/5

x = 3

So, Maria needs 3 lengths of gutter of finish the shed.

8 0

2 years ago

Which of the following statements shows the distributive property?

Papessa [141]

Answer:

$\displaystyle 5(4 - 2) = 20 - 10$

This is a genuine statement of you look real closely at it.

I am joyous to assist you anytime.

6 0

3 years ago

an plumber charges a flat rate of $25 for a job and $15 for each hour that he works on the job.how many hours did the plumber wo

Illusion [34]

Answer: 3 hours

Step-by-step explanation:

If you add up 25+15=40 if you add up 40+15=55, 55+15=70, 70+15=85

4 0

3 years ago