Find the z-score for the standard normal distribution where: P (z< -a) = 0.2451

Can someone please help me with this question asap! greatly appreciated!

dedylja [7]

Answer:

1344 ft^2

Step-by-step explanation:

From the picture we can see that 4w = 3l, which means that l = (4/3)w. Since w = 12 ft, l = (4/3)(12 ft) = 16 ft. Then the total area of the floor is

(length of floor)(width of floor) = (48 ft)(12 ft + 16 ft) = 1344 ft^2

8 0

4 years ago

Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest d

Aleksandr [31]

Answer:

$270

Step-by-step explanation:

Multiply 1000 by .03 or 3%. Then mulrioly that number by 9 because it is that amoint of interest for nine months.

3 0

3 years ago

How many terms are in the arithmetic sequence shown below? 15, 7, -1, -9...,-225

NemiM [27]

We know that

We can write an Arithmetic Sequence as a rule:

an = a1 + d(n−1)

where

a1 = the first term
d =the "common difference" between terms

in this problem
a1=15 a2=7 a3=-1 a4=-9 ..... an=-225
d=a2-a1
d=7-15-----> d=-8

an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31

the answer is
31

3 0

4 years ago

A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a

lora16 [44]

I assume in this item, we are to find at which step is the mistake done for the calculation of the unknown probability.

For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
= 10 x 9 x 8 x 7 x 6 = 30,240

This is similar as to what was done in Meghan's work.

For the five tiles to spell out FACED, there is only one (1) possibility.

Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above.

8 0

3 years ago

A vegetable store sold 3 tons of vegetables less on the first day than on the second, and on the third day it sold 5/9 of the am

Ilya [14]

Let
x---------> quantity (ton) of vegetables sold the first day
y---------> quantity (ton) of vegetables sold the second day
z---------> quantity (ton) of vegetables sold the third day

we know that
x=y-3---------> equation 1
z=(5/9)*(x+y)------> equation 2
x+y+z=98-----> equation 3
substitute equation 2 in equation 3
x+y+[(5/9)*(x+y)]=98----> multiply by 9----> 9x+9y+5x+5y=882
14x+14y=882-----> equation 4

to resolve the equations system formed by
x=y-3
14x+14y=882

using a graph tool
see the attached figure
the solution is
x=30
y=33
x+y+z=98----> z=98-(x+y)----> z=98-63---> 35

the answer is
vegetables sold the first day----> 30 ton
vegetables sold the second day----> 33 ton
vegetables sold the third day------> 35 ton

8 0

3 years ago

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