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3 years ago

Identify the type of study design in the following scenario:

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

Answer:

c. observational study

Step-by-step explanation:

<em>Researchers compare the rates of autism for children who did and did not receive the standard measles-mumps-rubella vaccine, to see if the vaccine might be responsible for autism in some children.</em>

This study design in the above scenario is observational study because the researcher are obviously observing whether the vaccine is affecting the children. Note that Observational study is like experiment which attempts to understand the cause and effect relationships on a subject.

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What are polynomials?

Ira Lisetskai [31]

Answer: Polynomials are algebraic expressions that include real numbers and variables.

Step-by-step explanation:

Division and square roots CANNOT be involved in the variables. The variables can only include ADDITION, SUBTRACTION, and MULTIPLICATION. Polynomials contain more than one term. Polynomials are the sums of monomials.

3 0

3 years ago

If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

$\sin 2A = 2\cdot \sin A\cdot \cos A$ (4)

$\csc 2A = \frac{1}{\sin 2A}$ (5)

$f(A) = \sin 2A + \csc 2A$

$f(A) = \sin 2A + \frac{1}{\sin 2A}$

$f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}$

$f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}$

If we know that $\sin A \approx 0.382$ and $\cos A \approx 0.924$ , then the value of the function is:

$f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}$

$f(A) = 2.122$

8 0

3 years ago

What is $96 spent in 4 hours written as a unit rate in minutes

lara31 [8.8K]

Answer: The unit rate of $96 spent in 4 hours is, $24 per hour.

Step-by-step explanation: To find the unit rate, you will need to write the information as a ratio, $96/4 hours. If you divide 96 by 4 you will get 24. That means this person spends $24 every hour or $24 per hour or $24/1 hour.

3 0

3 years ago

2+99393×17888÷2=? <br> WHATS THE ANSWER DAWG

Anna35 [415]

Answer:

888970994

Step-by-step explanation:

99393 * 17888 = 1777941984

1777941984/2 = 888970992

888970992+2 = 888970994

3 0

2 years ago

Read 2 more answers

A squirrel burrowed 6 holes in 2 minutes. How many holes could the squirrel burrow in 7 minutes

irina [24]

Answer:

He burrows 6 holes in 2 minutes which means that he can burrow 3 holes in 1 minute.

To determine how many he can burrow in 7 minutes, you would multiply the

unit rate of 3 holes in 1 minute by 7.

He would burrow 21 holes in 7 minutes.

Step-by-step explanation:

brainliest pls?

3 0

3 years ago

Read 2 more answers