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2 years ago

What are the values of a and b?

Mathematics

1 answer:

aleksklad [387]2 years ago

6 0

Answer: A

Step-by-step explanation: While I'm sure there is an equation to solve this which I don't remember I used process of elimination to solve this, there are two right triangle and one of the triangles is sides a, 2, and b. Since B is across from the right angle, it is the hypotenuse, therefore b is greater than a, that means d and b cannot be correct, since a is the same in a and c, we can assume a=8, using Pythagorean Theorem. 8^2 + 2^2= b^2.

b^2 = 68

the square root of 68 can be simplified to 2 * square root of 17

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3 years ago

The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean

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Answer:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

Step-by-step explanation:

Data given and notation

$\bar X=3.8$ represent the sample mean

$s=0.5$ represent the sample standard deviation for the sample

$n=15$ sample size

$\mu_o =4$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:

Null hypothesis: $\mu \geq 68$

Alternative hypothesis: $\mu < 4$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

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3 years ago

How many solutions exist for the given equation?

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Answer would be a zero

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3 years ago

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2) A pharmacist has 60 ml of an 8% alcohol solution. How much water should be evaporated so that the solution that remains is 10

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Answer:

let water evaporated be x ml

...

acid 8% ------60 ml

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final quantity = 10% ----(60-x)

60*8 = 10(60-x)

480=600-10x

10x=600-480

10x= 120

/10

x=12 ml should be evaporated.

Step-by-step explanation:

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3 years ago

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Answer:

Option 2. h = E/mg.

Step-by-step explanation:

E= mgh

mgh = E

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mgh / mg = E / mg

h = E/mg.

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3 years ago

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