Dan will be 8X years next year. how old was Dan five years ago. give your answer in terms of X

Answers

Answer 1

Answer: If Dan is 8x years old next year then he must be 8x-1 years old this year
With the same logic, five years ago from this year, he must be 8x-1-5=8x-6

The answer should be 8x-6

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Find the total amount of interest on a savings account if the principal is $9400 and the bank gives a rate of 6% compounded quarterly for the next 6 years.
Hey can anyone help with this question please and thank you
Julio is planning activities for a trip that lasts from Thursday to Sunday. He is interested in visiting a museum, hiking the trails, attending the food festival, riding a jet ski, exploring a famous park, or going shopping. each activity takes a full day, and he will not do any activity twice. Julio wants to either visit a museum or explore the park on Thursday, and he is definitely attending the food festival on Saturday. How many different ways can he plan activities for his trip?A)24B)30C)40D)120
Tara has 1 3/5yards of fabric. She needs 2 1/2times this amount to make a shopping bag. How much fabric does Tara need to make the bag?

An angle is one-fourth of a circle. How many one-degree angles can be made from this angle?

Answers

Answer:

Step-by-step explanation: Right Angle - 4 times around. Around the angle ( 90 ) You would need 90 angles or 4 to make 360.

A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was approximately normally distributed with mean 25 and standard deviation 6. What proportion of students studied between 25 and 34 hours

Answers

Answer:

$P(25<X<34)=P((25-\mu)/(\sigma)<(X-\mu)/(\sigma)<(34-\mu)/(\sigma))=P((25-25)/(6)<Z<(34-25)/(6))=P(0<z<1.5)$

And we can find this probability with this difference:

$P(0<z<1.5)=P(z<1.5)-P(z<0)$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(0<z<1.5)=P(z<1.5)-P(z<0)=0.933-0.5=0.433$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem'

Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,6)$

Where $\mu=25$ and $\sigma=6$

We are interested on this probability

$P(25<X<34)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=(x-\mu)/(\sigma)$

If we apply this formula to our probability we got this:

$P(25<X<34)=P((25-\mu)/(\sigma)<(X-\mu)/(\sigma)<(34-\mu)/(\sigma))=P((25-25)/(6)<Z<(34-25)/(6))=P(0<z<1.5)$

And we can find this probability with this difference:

$P(0<z<1.5)=P(z<1.5)-P(z<0)$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(0<z<1.5)=P(z<1.5)-P(z<0)=0.933-0.5=0.433$

Prove that the diagonals of a rectangle bisect each other.Plan: Since midpoints will be involved, use multiples of __ to name the coordinates for B, C, and D.

2

4

1

3

Answers

Answer:

Step-by-step explanation:

example A(2a,0),B(2b,0)

C(2b,2c),D(2a,2c)

mid point of AC=((2a+2b)/2,(0+2c)/2)=(a+b,c)

mid point of BD=((2b+2a)/2,(0+2c)/2)=(a+b,c)

∴midpoint of diagonals same or diagonals bisect each other.

140,000 = 1.4 x 105
True
O False

Answers

Answer:

this is false. hope this helps

Answer:

False.

Step-by-step explanation:

1.4 x 105 = 147 which is not 140,000

A truck averages 20 miles per gallon. The equation m = 20g represents the relationshi, where m is the yotal miles a trick can go and g is the gallons of gas in the tank. How far can the truck go on 6, 8, or 10 gallons of gas?

Answers

Answer:
6 gallons = 120 miles
8 gallons = 160 miles
10 gallons = 200 miles

Multiply 20, the number of miles you get per gallon by the number of gallons of has you put into the truck.

Example:
10gallons x 20miles per gallon = 200 miles

determine whether the series is absolutely convergent, conditionally convergent, or divergent sin(n)/3^n convergent