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hodyreva [135]
3 years ago
13

A student studied 18 hours in one week. What is the total number of hours he will have to study during the next week in order to

average 2 hours of study per day for the entire 14-day period?
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

Step-by-step explanation:

[(2 hours)/(1 day)](14 days)=(18+x)hours

Let's note that the unit of day is in the numerator and denominator.  It cancels

[(2 hours)/(1 day)](14 days)=(18 hours)+(x hours)

(2 hours)(14)=(18+x)hours

Let's note that the unit of hours is in the numerators of both sides of the equation.  It cancels

(2 hours)(14)=(18+x)hours

(2)(14)=18+x

28=18+x

10=x

HE WILL HAVE TO STUDY 10 HOURS.

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9% of $2500 = 225
7 × 225 + 2500 = $4075
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judy has a piece of wood that is 4 5/8 feet long. she cuts off 3 feet 6 inches of the wood for a project. how much wood, in feet
Svet_ta [14]

there are 12 inches in 1 foot, so 6 inches is really just half a foot, thus 3'6" is really just 3.5' or 3½ feet.

now, let's convert those mixed fractions to improper fractions and then subtract, bearing in mind our LCD will be 8.

\bf \stackrel{mixed}{4\frac{5}{8}}\implies \cfrac{4\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{45}{8}-\cfrac{7}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)45~~-~~(4)7}{8}}\implies \cfrac{45-28}{8}\implies \cfrac{17}{8}\implies 2\frac{1}{8}

6 0
3 years ago
Read 2 more answers
Multiply: (9x^2y^3)(7xy^2)
MrRissso [65]
Remember
(ab)(cd)=(a)(b)(c)(d)=(ac)(bd),
and
(x^m)(x^n)=x^(m+n)

(9x^2y^3)(7xy^2)=
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(9)(7)(x^2)(x)(y^3)(y^2)=
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7 0
4 years ago
Heather, a sociology major is interested in studying mass media topics. She is particularly interested in the percentage of mass
Serhud [2]

Answer:

Null hypothesis:p=0.72  

Alternative hypothesis:p \neq 0.72

p_v = 2*P(|z|>z_{calc})

And the best answer for this case is:

C. p-value

Step-by-step explanation:

Data given and notation

n represent the random sample taken

\hat p estimated proportion of interest

p_o=0.72 is the value that we want to test

\alpha=0.05 represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion i 0.72 or no.:  

Null hypothesis:p=0.72  

Alternative hypothesis:p \neq 0.72  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

For this case the only probability that can be calculated from the statistic calculated is the p value given by:

p_v = 2*P(|z|>z_{calc})

And the best answer for this case is:

C. p-value

3 0
3 years ago
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