Answer:
D. The company's chocolate bars weigh 3.2 ounces on average.
Step-by-step explanation:
We are given that a company claims that its chocolate bars weigh 3.2 ounces on average.
The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.
Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.
Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.
Thus Option D is correct.
D. The company's chocolate bars weigh 3.2 ounces on average.
Math Find the Distance Between Two Points (3,4) , (-2,1)
(
3
,
4
)
(
3
,
4
)
,
(
−
2
,
1
)
(
-
2
,
1
)
Use the distance formula to determine the distance between the two points.
Distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Distance
=
(
x
2
-
x
1
)
2
+
(
y
2
-
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
(
−
2
)
−
3
)
2
+
(
1
−
4
)
2
(
(
-
2
)
-
3
)
2
+
(
1
-
4
)
2
Simplify.
Tap for more steps...
√
34
34
The result can be shown in multiple forms.
Exact Form:
√
34
34
Decimal Form:
5.83095189
…
Answer: he invested $15000 in part 1 and $60000 in part 2
Step-by-step explanation:
Let x represent the amount of money invested in part one.
Let 4x represent the amount of money invested in part 2 .
Total amount of money invested in part 1 and part 2 is
x + 4x = 5x
The formula for simple interest is expressed as
I = PRT/100
Where
P is the principal or initial amount.
T is the duration in years
R is the number rate.
For part 1
R = 7%
T = 1 year
P = x
I = (x × 7 × 1)/100 = 0.07x
For part 2,
R = 11%
T = 1 year
P = 4x
I = (4x × 11 × 1)/100 = 0.44x
if the total annual income from interest is 7650. This means that
0.44x + 0.07x = 7650 - - - - - - - -2
0.51x = 7650
x = 7650/0.51
x = 15000
Amount invested in part 1 is $15000
Amount invested in part 2 is 4×15000 = $60000
Answer:
m% = m/100
Step-by-step explanation:
what = a variable ... "x". for example.
"is" means "="
"of" means multiply
n = (m/100)•x
tenths place is the place value to which 14.637 is rounded
