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3 years ago

Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

Mathematics

1 answer:

Mila [183]3 years ago

4 0

Answer:

7 years

Step-by-step explanation:

Suri's age=17 years

Her cousin's age =c

Suri's age is 4 less than 3 times her cousin's age

4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age

17=3c - 4

Find c which is her cousin's age

Add 4 to both sides

17+4=3c - 4 + 4

17+4=3c

21=3c

Divide both sides by 3

21/3=3c/3

7=c

Therefore,

C= 7

Her cousin's age = 7 years

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The amount of time devoted to studying statistics each week by students who achieve a grade of A in the course is a normally dis

svlad2 [7]

Answer:

a) 11.7% of students study for more than 10 hours per week.

b) 35.6% of student spends between 7 and 9 hours studying.

c) 1.6% of students spend fewer than 3 hours studying.

d) 5% of all A students spend studying 4.0455 or less hours during a week.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 7.5 hours

Standard Deviation, σ = 2.1 hours

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(students study for more than 10 hours per week)

P(x > 10)

$P( x > 10) = P( z > \displaystyle\frac{10 - 7.5}{2.1}) = P(z > 1.1904)$

$= 1 - P(z \leq 1.1904)$

Calculation the value from standard normal z table, we have,

$P(x > 10) = 1 - 0.883 = 0.117 = 11.7\%$

b) P(student spends between 7 and 9 hours studying.)

$P(7 \leq x \leq 9) = P(\displaystyle\frac{7 - 7.5}{2.1} \leq z \leq \displaystyle\frac{9-7.5}{2.1}) = P(-0.2380 \leq z \leq 0.7142)\\\\= P(z \leq 0.7142) - P(z < -0.2380)\\= 0.762 - 0.406 = 0.356 = 35.6\%$

$P(7 \leq x \leq 9) = 35.6\%$

c) P(students spend fewer than 3 hours studying)

$P(x < 3) = P(z < \displaystyle\frac{3-7.5}{2.1}) = P(z < -2.1428)$

Calculating the value from the standard normal table we have,

$P( x < 3) =0.016 = 1.6\%$

d) P(X < x) = 0.05

We have to find the value of x such that the probability is 0.035

$P( X < x) = P( z < \displaystyle\frac{x - 7.5}{2.1})=0.05$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 7.5}{2.1} = -1.645\\x = 4.0455$

5% of all A students spend studying 4.0455 or less hours during a week.

5 0

3 years ago

The circle graph shows Tommy Blox spent the money he earned last summer. If he spent $80 on entertainment, how much did Tommy ea

Studentka2010 [4]

Answer:

Tommy earned $250 altogether.

Step-by-step explanation:

Let the total earning of Tommy be 'x' dollars.

Given:

Money spent on entertainment = $80

From the circle shown below:

Percent spent on clothes = 19%

Percent spent on food = 25%

Percent spent on other things = 14%

Percent of savings = 10%

Addition of all percents = 100%

⇒ 19% + 25% + 10% + 14% + % Entertainment = 100%

⇒ 68% + % Entertainment = 100%

⇒ % Entertainment = 100% - 68% = 32%

Therefore, as per question:

$32\%\ of\ x=\$80\\\\0.32x=80\\\\x=\frac{80}{0.32}\\\\x=\$250\\$

Hence, Tommy earned $250 altogether.

6 0

3 years ago

Please answer this math question for me

LiRa [457]

Answer:

Hello! answer: e = 108 d = 32 f = 40 because

108 + 108 + 32 + 32 + 40 + 40 = 360 Hope this helps!

4 0

3 years ago

If 3/4 of a certain number is equal to 41/2 find the number

SSSSS [86.1K]

Answer:

$x = \frac{82}{3}$

Step-by-step explanation:

let $x$ be that number

$(\frac{3}{4} )x = \frac{41}{2}$

$\frac{3x}{4} = \frac{41}{2}$

multiply both sides by $4$

$\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\$

divide both sides by 3

$\frac{3x}{3} = \frac{82}{3}$

$x = \frac{82}{3}$

7 0

3 years ago

What is the value of x in the equation log(x+2) - log(x-1) = log 2

pentagon [3]

Step-by-step explanation:

log(x+2)-log(x-1)=log2

log(x+2)/(x-1)=log2

=> (x+2)=2(x-1)

=>x+2 =2x-2

=> x=4

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3 years ago