Which expressions are equivalent to the one below? Check all that apply.25^x
A. 5^x•5^x B. 5•5^x
C. 5^2•5^x
D. 5^2x
E. 5•5^2x F. (5•5)^x
Answers
Answer:
A. 5^x•5^x
D. 5^(2x)
F. (5•5)^x
Step-by-step explanation:
25^x = (5•5)^x = (5^2)^x = 5^(2x) = (5^x)^2 = (5^x)•(5^x)
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The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a•a = a^2
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A candy company is designing the packaging for its new candy bar. The bars will be packed in cartons which are 1 foot wide, 1 foot high, and 1 foot long. How many of these cartons can they pack into the shipping crate which is 5 ft long, 12 ft wide, and 4 ft high?show your work.
This is to confusing
Solve for xLogx-log(x+13)=1Step by step explanation please
Answers
Answer:
The simple interest was found to be $9.6 after 1 year at 3%
Step-by-step explanation:
Given that
principal p= $350
rate r= 3%= 3/100= 0.03
time t= 1 year
The expression for the simple interest is given as
SI= p*r*t
SI= 320*0.03*1
SI= $9.6
After 1 year at 3% the simple interest is $9.6
Simply put the extra money earned after an investment is called the simple interest
Answers
I dont think so lol try drawing it out a translation is the same shape or point but in another quadrant either over the x axis or y axis
Answers
Answers
Answer:
The density curve is symmetric and bell‑shaped.
The normal distribution is a continuous distribution.
Approximately 32% of values fall more than one standard deviation from the mean.
Step-by-step explanation:
Lets take a look at each statement.
The density curve is symmetric and bell‑shaped.
True.
The normal distribution is a continuous distribution.
True, the value of the measure can be a decimal number, like 10.5, for example.
The normal distribution is a discrete distribution.
False. Either the distribution is continuous, or it is discrete. In this case, it is continuous.
The density curve is a flat line extending from the minimum value to the maximum value.
False. This statements describes the uniform probability distribution.
Approximately 32% of values fall more than one standard deviation from the mean.
True. 68% are within 1 standard deviation of the mean and 32% are more than one standard deviation from the mean.
Two parameters define a normal distribution—the median and the range.
False. It is the mean and the standard deviation.
Answers
Answer:
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .
Step-by-step explanation:
Given -
The sample size is large then we can use central limit theorem
n = 50 ,
Standard deviation = 7.1
Mean = 110
1 - confidence interval = 1 - .98 = .02
= 2.33
98% confidence interval for the mean caffeine content for cups dispensed by the machine =
=
=
First we take + sign
= 112.34
now we take - sign
= 107.66
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .
Find AB if BC = 4, BD = 5, and AD = 5
Answers
so I think it's a rectangle. and AB is the diagnal line. to find AB, we need to use the hypothegorin teorin.
BD=5, DA=5
let x represent the AB
formula= a²+b²=c²
= 5²+5²= x²
= 25+25=x²
=50=x²
=square root of 50= 7.07
AB is 7.07