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4 years ago

What is the ratio for each one?

Mathematics

1 answer:

blagie [28]4 years ago

8 0

This is complicated because I’m typing on a phone, but
24:30 simplified is 4:5
30:54 simplified is 5:9

10:5 simplified is 2:1
5:15 simplified is 1:3

32:72 simplified is 4:9
72:104 simplified is 9:13

56:7 simplified is 8:1
7:63 simplified is 1:9

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The fabulous footballers scored an incredible 55 points at last nights football game. interestingly, the number of field goals w

MA_775_DIABLO [31]

Answer is option II

Given that there are 7 points earned for each touch down and 3 points for each field goal.

t represents thenumber of touchdowns and f the number of field goals.

Then points scored would be 7(t) +3(f) = 7t+3f

Hence we get 7t+3f =55

Also number of field goals was 1 more than twice the number of touchdowns.

Twice the touchdowns = 2(t)

f = 2t+1

Hence the two equations would be:

f = 2t+1

7t+3f =55

Hence option ii is the right answer.

5 0

3 years ago

SOLVE THIS ASAP and please show me the solving steps

GalinKa [24]

Answer:

45.2°

Step-by-step explanation:

a = 14

b = 11

c = 10

The Law of Cosines is given as:

arccos (a²+b²﹣c²/2ab)

In this above question, to find m

= arccos(11²+14²﹣10²/2·11·14)

= 45.20717°

Approximately = 45.2°

Option d is the correct answer

4 0

3 years ago

Can someone help me solve this? ^^

natita [175]

Answer to a.

a. −14/15

5 0

3 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

4 years ago

Find the value of x. Round to the nearest tenth. х 12 4 X = = [ ? ]

Rom4ik [11]

Use cosine trigonometric relation.

$Cos~x=\frac{Adjacent} {Hypotenuse} \\\\ \to cos~x=\frac{4}{12} \\\\ \to cos~x= \frac{1}{3} \\\\ x=arccos(\frac{1}{3})\\\\ x \approx 70°$

4 0

3 years ago