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3 years ago

Would this be correct ladies and gents

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Answer:

You can use the useful mnemonic: SOH CAH TOA to determine what function to use. Since we have information about the hypotenuse (H) and opposite (O), we should use sine (S) for "SOH".

So yes, sine would be correct.

Hope this helps!

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

5 0

3 years ago

5. Find the circumcenter of the triangle. XXX CU 3 (4,2) KNNYA XHENNARO 3 ****************++++++ 5 NET Virtual cla 44,-3) WHEREw

Elan Coil [88]

The circumcenter of a right angled triangle is midpoint of the hypotenuse side.

Determine the midpoint of the hypotenuse.

$\begin{gathered} x=\frac{-4+0}{2} \\ =\frac{-4}{2} \\ =-2 \end{gathered}$

For y coordinate,

$\begin{gathered} y=\frac{2-3}{2} \\ =\frac{-1}{2} \end{gathered}$

So, circumcenter of triangle is,

$(-2,\frac{-1}{2})$

8 0

1 year ago

4 times the measure of the complement of an angle is equal to / the measure of the original angle's supplement. What is the meas

WINSTONCH [101]

72 degrees if its 2/3

6 0

3 years ago

Every time Martina orders Chinese food, she gets egg drop soup. So, she decides to learn how to make it herself. Her recipe call

MrRa [10]

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!

64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

8 0

2 years ago

Which sequences of transformations would result in similar figures that are enlargements or reductions?

Ugo [173]

Answer:

Dilations

Step-by-step explanation:

8 0

3 years ago