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NeX [460]
3 years ago
11

The thickness of each type of coin is shown in the table. How much thicker is a stack of a dollars worth of nickels than a dolla

rs worth of quarters
Mathematics
1 answer:
il63 [147K]3 years ago
5 0

Answer:

16 nickels thicker

Step-by-step explanation:

You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar.  Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!

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A fertilizer company manufactures 10-pound bags of fertilizer with a standard deviation of 0.24 pounds per bag. The bag weights
Ksju [112]

Answer:

the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

Step-by-step explanation:

Given the data in the question;

μ_x = 10 pound bags

standard deviation s_x = 0.24 pounds

sample size n = 4

The bag weights are normally distributed so;

p( x' less than 9.8 ) will be;

p(  (x'-μ_x' / s_x')   <   (9.8-μ_x' / s_x')  )

we know that;

μ_x' = μ_x = 10

and s_x' = s_x/√n = 0.24/√4

so; we substitute

p(  z  <  ( (9.8 - 10) / (0.24/√4)  )

p(  z  <  -0.2 / 0.12   )

p(  z  <  -1.67   )

{ From z-table }

⇒ p(  z  <  -1.67   ) = 0.0475 ≈ 0.05

Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

3 0
3 years ago
Can someone help me i am confused
hammer [34]

Answer:

3. 2

4. f(n) = 3 + 4(n - 1)

Step-by-step explanation:

3. The general term of the arithmetic sequence is given by:

                                    A(n) = - 14 + (n - 1)(2)

To find the ninth term of this arithmetic sequence, just put $ n = 9 $ in the general term.

∴ A(9) = - 14 + (9 - 1)(2) = - 14 + 8(2) = -14 + 16 = 2.

Therefore the ninth term in the arithmetic sequence is two.

4. To know which expression represents the given sequence, substitute different values for $ n $ to conclude.

In Option A, f(n) = 4 + 3(n - 1). Substitute n = 1.

We get f(1) = 4 + 3(0) = 4. This is not the first term in the sequence and can be eliminated.

In Option B, f(n) = 4 + 3n. Substitute n = 1.

We get f(1) = 4 + 3(1) = 7, not 3 so can be eliminated.

Similarly in Option C, we get 7 and could be eliminated.

In Option D, f(n) = 3 + 4(n - 1). Substitute n = 1.

We get f(1) = 3 + 4(1 - 1) = 3, which is the first term in the sequence.

Similarly, f(2) = 3 + 4(2 - 1) = 3 + 4 = 7.

Substitute n = 3, 4 to get other terms as well.

So, we say f(n) = 3 + 4(n - 1) is the representation of the given arithmetic sequence.

5 0
3 years ago
The average salary for teachers in Orange County is $43,787 with a standard deviation of $4800. The school board decides to be g
IrinaVladis [17]

Answer:

500

Step-by-step explanation:

7 0
2 years ago
What is 32.15 in unit form??
tekilochka [14]
3 tens, 2 ones, 1 tenth, 5 hundredths
4 0
3 years ago
Read 2 more answers
A cylinder-shaped candle has a diameter of 5 inches and a height of 8 inches.
Arada [10]
V=hpir²
h=8
d=2r
d/2=r
5/2=2.5=r


V=8pi2.5²
V=8pi6.25
V=50pi
aprox pi=3.14

V=50  times 3.14
V=157 in³


157 cubic inches
5 0
3 years ago
Read 2 more answers
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