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dybincka [34]
3 years ago
5

Patrick has $5 saved he will save an additional $1 each week which expression represents the amount of money Patrick will have s

aved after W weeks
Mathematics
1 answer:
Rainbow [258]3 years ago
8 0

Answer:

5+1w

Step-by-step explanation:

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Deborah hikes due south for 3 miles. She then turns due west and hikes 4 miles. What is the shortest distance between the starti
Cerrena [4.2K]

Answer:

  5 miles

Step-by-step explanation:

The two legs of Deborah's hike form the right-angle legs of a right triangle. The shortest distance is then the hypotenuse of that triangle, found using the Pythagorean theorem.

  d^2 = 3^2 + 4^2 = 9 +16 = 25

  d = √25 = 5

Deborah ends 5 miles from her start.

8 0
3 years ago
WhichGiven that f(x) = x² + 5x, evaluate f(-2). of the following is equal to ?
Andrew [12]
F(x)= x²+5x
f(x)= -2²+5(-2)
f(x)= 4-10
f(x)= -6
I hope I helped you :)
4 0
3 years ago
Don put $3,000 in a savings account with an interest rate of 5% for three years. If the interest is compounded annually, how muc
nikklg [1K]
Compounded anually means
if you put x in at y percent then 
you calculate like this
if you put in x at y percent then  the money you earn is
x +(x times y)=z=first year
second year=z+(z times y)=s
third year=s+(s times y)=t

percent means parts out of 100 so 5%=5/100=0.05
'of' can be translated as multiply
so

3000 +(3000 times 0.05)=3150=fisrt year
3150+(3150 times 0.05)=3307.5=second year
3307.5 +(3307.5 times 0.05)=3472.88=tird year

he will have 3472.88  at end of 3 years
3 0
3 years ago
What is 3/38 x 4/13 ?
Aliun [14]

Answer:

B

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas,
erastova [34]

Answer:

a

The distribution of  X is normal

b

P(X  <  1.4) = 0.12654

c

P(X  >  3.5) = 0.36051

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu =  3 \  hours

   The standard deviation is  \sigma  =  1.4 \ hours

Generally given from the question that the amount of time spent alone by the population size is normally distributed then then the distribution of X (i.e the amount of time spent by the sample size (the one Mercurian)) will be normally distributed

  Generally the probability that the child spend less than one hour in a day is mathematically represented as

        P(X  <  1.4) =  P(\frac{X - \mu}{\sigma} < \frac{1.4 - \mu}{\sigma}   )

Here \frac{X - \mu}{\sigma }  =  Z (The\ standardized\ value\ of\  X)

So

      P(X  <  1.4) =  P(Z < \frac{1.4 - 3.0}{1.4}   )

     P(X  <  1.4) =  P(Z < -1.1429  )

From the z-table the value of  

        P(Z < -1.1429  )=0.12654

So     P(X  <  1.4) = 0.12654

Generally the percentage of children that spends over 3.5 hours unsupervised is mathematically represented as

        P(X  >  3.5) =  P(\frac{X - \mu}{\sigma} > \frac{3.5 - \mu}{\sigma}   )

        P(X >  3.5) =  P(Z > \frac{3.5 - 3.0}{1.4}   )

        P(X >  3.5) =  P(Z > 0.3571  )

From the z-table the value of  

        P(Z >0.3571  )=0.36051

So     P(X  >  3.5) = 0.36051

5 0
3 years ago
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