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3 years ago

Please answer this now in two minutes

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

Answer:

x = 6.6

Step-by-step explanation:

Data obtained from the question include the following:

Angle X = 15°

Angle Y° = 23°

Side y = 10

Side x =..?

The value of side x can be obtained by using the sine rule as shown below:

x/Sine X = y/Sine Y

x/Sine 15 = 10/Sine 23

Cross multiply

x × Sine 23 = 10 × Sine 15

Divide both side by Sine 23

x = (10 × Sine 15) / Sine 23

x = 6.6

Therefore, the value of x is 6.6.

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Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15?

tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0

3 years ago

The projected world population (in billions of people) t years after

MA_775_DIABLO [31]

Answer:

y = 5 e^r * t

Let y be the population in billions and t the value of elapsed years

7 = 5 e^r * t is the equation being used where t = 15

7/5 = e^r * t

ln 7/5 = r * t taking ln of both sides

r = .336 / 15 = .0224

y = 5 e^(.0224 t) is then our equation

Check - suppose you want y at 2020

y = 5 e^(.0224 * 20) would be the equation

y = 5 e^.449 = 7.83 billion - seems to be a reasonable answer

4 0

3 years ago

Read 2 more answers

Simplify x+2x –8+3x+1 –2x.

emmainna [20.7K]

Answer:

4x - 7

Step-by-step explanation:

x + 2x + 3x - 2x = 4x

-8 + 1 = -7

8 0

3 years ago

Fencing costs $25.80 per yard. How much does it cost to enclose two adjacent rectangular pastures as shown x=50 5/8 y=30 2/9

Maslowich

Answer:

54.65

Step-by-step explanation:

5 0

3 years ago

Statistics question; please help.

Alex_Xolod [135]

Answer:

Does this sample provide convincing evidence that the machine is working properly?

Yes.

Step-by-step explanation:

Normal distribution test:

$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma}$

Where,

$x: \text{ sample mean}$

$\sigma: \text{ standard deviation}$

$n: \text{ sample size determination}$

$\mu: \text{ hypothesized size of the screw}$

$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 }$

$z=\frac{(-0.024)10\sqrt{2} }{0.203 }$

$z \approx -1.672$

Once the significance level was not given, It is usually taken an assumption of a 5% significance level.

Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of $\pm 1.96$

Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!

7 0

3 years ago