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3 years ago

_______ the problem by formulating assumptions and recognise certain variables and their relations

Mathematics

1 answer:

patriot [66]3 years ago

7 0

Answer:

Research Hypothesis solves the problem by .....

Step-by-step explanation:

Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships

The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.

Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable

Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement

Y = b0 + b1X ; where

Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y

H0 : b1 = 0 {No significant relationship between X & Y}
H1 : b1 ≠ 0 {Significant relationship between X & Y}

This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null or alternate hypothesis gives the final research conclusion & interpretation

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Tomas Gomez's gross weekly pay is $750. What amount is deducted weekly for Social Security taxes, if the tax rate is 6.2%?

AleksandrR [38]

Answer:

$46.50

Step-by-step explanation:

From the question we are given;

gross weekly pay= $750

Tax rate= 6.2%

Find 6.2% of the gross weekly pay

6.2/100 × $750 = $46.50

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3 years ago

The scale on a drawing is 1 mm = 3 m. How many meters does 2 centimeters represent?

LekaFEV [45]

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3 years ago

Read 2 more answers

In a certain Algebra 2 class of 29 students, 7 of them play basketball and 24 of them play baseball. There are 3 students who pl

antiseptic1488 [7]

Answer:

$\frac{5}{29}$

Step-by-step explanation:

Let $n(A)$ represent students playing basketball, $n(B)$ represent students playing baseball.

Then, $n(A)=7$ , $n(B)=24$

Let $n(S)$ be the total number of students. So, $n(S)=29$ .

Now,

$P(A)=\frac{n(A)}{n(S)}=\frac{7}{29}$

$P(B)=\frac{n(B)}{n(S)}=\frac{24}{29}$

3 students play neither of the sport. So, students playing either of the two sports is given as:

$n(A\cup B)=n(S)-3\\n(A\cup B)=29-3=26$

∴ $P(A\cup B)=\frac{n(A\cup B)}{n(S)}=\frac{26}{29}$

From the probability addition theorem,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Where, $P(A\cap B)$ is the probability that a student chosen randomly from the class plays both basketball and baseball.

Plug in all the values and solve for $P(A\cap B)$ . This gives,

$\frac{26}{29}=\frac{7}{29}+\frac{24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{7+24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{31}{29}+P(A\cap B)\\\\P(A\cap B=\frac{31}{29}-\frac{26}{29}\\\\P(A\cap B=\frac{31-26}{29}=\frac{5}{29}$