Answer:
108 seconds and 0.03 hours
• Roses: The florist’s cost is $20 per dozen;
the profit over cost is $20 per dozen.
• Carnations: The florist’s cost is $5 per
dozen; the profit over cost is $8.
• The florist can order no more than 50 dozen
flowers.
• A minimum of 30 dozen carnations must be
ordered.
• The florist cannot order more than $660
worth of roses and carnations.
A.) How many dozen roses should the florist order? Answer in units of doz
B.) How many dozen carnations should the florist order? Answer in units of doz
Answer: The probability is P = 0.14
Step-by-step explanation:
We know that the dart will land on the larger circle, then we have a 100% of probability that the dart will land on the larger circle.
Then the probability of the dart landing on the smaller circle will be equal to the quotient between the areas of the smaller circle and the larger circle.
The area of a circle of radius R is:
A = 3.14*R^2
Then the area of the larger circle is:
A = 3.14*(8cm)^2 = 200.96 cm^2
And the area of the smallest circle is:
a = 3.14*(3cm)^2 = 28.26 cm^2
Then the probability of the dart landing on the shaded region is:
P = (28.26 cm^2)/(200.96 cm^2) = 0.14
To calculate the z-statistic, we must first calculate the standard error.
Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 1.81.
The z-score is defined the distance from the sample to the population mean in units of standard error.
z = (26 – 20)/1.81 = 3.31
at this z-score = 0.0005 which is less than 5%
the answer is C. the z- statistic is 3.32, so the null hypothesis should be rejected.
Answer:a) 14080, b) 5280, c) 64.
Step-by-step explanation:
Since we have given that
Number of teddy bears = 3
Number of identical lollipops = 9
Total number of things = 3+9 =12
Number of children = 4
(a) Without restriction?
Number of ways would be
(b) With no child getting two or more teddy bears?
(c) With each child getting three ""goodies""?
Hence, a) 14080, b) 5280, c) 64.
7
We certainly already know that 49 = 7².
To be able to answer this question, let us use one of the following exponent properties.
Thus 49 to the power of ¹/₂ equals 7.
- - - - - - -
Now we relate rational exponents with the root form.
In general,
Especially for will be
Based on the above properties, 49 to the power ¹/₂ can be written as,
We state it as 'the square root of 49'.
Thus the result is
Another example:
What's 100 to the power of ¹/₂ ? The answer is
Keywords: 49 to the power of ¹/₂, 7, the exponent properties, the root form, the square root of 49, the power, rational exponents
By the use of exponent properties we get, 7 is 49 to the power of 1/2.
Let us use one of the following exponent properties.
(xᵃ)ᵇ = xᵃᵇ
=
2 * 1/2 = 2/2
= 1
7¹ = 7.
Therefore, 49 to the power of 1/2 is equal to 7.
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