Answers
Answer:
[tex]\frac{3375}{512}[/tex] or ≈6.59
Step-by-step explanation:
We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.
Take [tex]25\frac{3}{2}[/tex] for example. The '2' in the fraction means we must take the square of 25. √25 = 5.
The '3' in the fraction means we take the power, which means we must cube '5'.
5³ = 125. Therefore, [tex]25\frac{3}{2}[/tex] = 125. Use this process for the other numbers:
[tex]25^{\frac{3}{2} } = 125\\243^{\frac{3}{5} } = 27\\16^{\frac{5}{4} } = 32\\ 8^{\frac{4}{3} } = 16[/tex]
The new fraction would look like:
[tex]\frac{125 * 27}{32 * 16}[/tex]
Which simplifies to:
[tex]\frac{3375}{512}[/tex] or ≈6.59
Answer:
Step-by-step explanation:
(25) raise to 3/2 = (5^2) raise to 3/2 and 2 gets cancelled when the bracket is opened which leaves 5^3.
(243) raise to 3/5 = (3^5) raise to 3/5 and 5 gets cancelled when the brackets are opened which leaves 3^3.
(16) raise to 5/4 = (2^4) raise to 5/4 and 4 gets cancelled when the bracket is opened which leaves 2^5.
(8) raise to 4/3 = (2^3) raise to 4/3 and 3 gets cancelled when the brackets are opened which leaves 2^4.
5^3 * 3^3 divided by 2^5 * 2^4
= (5 x 3)^ 3 / 2^5+4 [∵a^m x b^m = (ab)^m] & [a^m x a^n = a^m+n]
15^3 / 2^9
This when simplified gives 6.591.
So, 15^3 / 2^9 is approximately equal to 6.59
PLS MARK IT AS BRAINLIEST
Related Questions
A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 210 of the men died from causes related to heart disease. Moreover, 312 of the 937 men had at least one parent who suffered from heart disease, and, of these 312 men, 102 died from causes related to heart disease. Calculate the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease. (A) 0.115 (B) 0.173 (C) 0.224 (D) 0.327 (E) 0.514
Answers
Answer:
The correct option is (B) 0.173.
Step-by-step explanation:
The law of total probability states that:
[tex]P(A)=P(A\cap B)+P(A\cap B^{c})[/tex]
The conditional probability of an event A given that another event B has already occurred is:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
Then the probability of intersection of A and B is:
[tex]P(A\cap B)=P(A|B)\cdot P(B)[/tex]
Denote the events as follows:
H = a man died from causes related to heart disease.
X = a man had at least one parent who suffered from heart disease
The information provided is:
[tex]P(H)=\frac{210}{937}\\\\P(X)=\frac{312}{937}\\\\P(H|X)=\frac{102}{312}[/tex]
The probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is, [tex]P(H|X^{c})[/tex].
Compute the value of [tex]P(H|X^{c})[/tex] as follows:
[tex]P(H)=P(H|X)\cdot P(X)+P(H|X^{c})\cdot P(X^{c})[/tex]
[tex]\frac{210}{937}=[\frac{102}{312}\cdot \frac{312}{937}]+[P(H|X^{c})\cdot (1-\frac{312}{937})]\\\\\frac{210}{937}-\frac{102}{937}=[P(H|X^{c})\cdot \frac{625}{937}]\\\\\frac{108}{937}=P(H|X^{c})\cdot \frac{625}{937}\\\\P(H|X^{c})=\frac{108}{937}\times \frac{937}{625}\\\\P(H|X^{c})=0.1728\\\\P(H|X^{c})\approx 0.173[/tex]
Thus, the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is 0.173.
The correct option is (B).
what is the circumference of this circle?
Answers
Answer:
12π
Step-by-step explanation:
C = Dπ
C = 12π
Answer:
37.68
Step-by-step explanation:
Trust me
Make me brainleist
Simplify the expression by combining like terms. Write the terms in alphabetical order of the variables.
X+20y-2z+19x-2y+19z
Answers
Answer: [tex]20x+18y+17z[/tex]
Step-by-step explanation:
[tex]x+20y-2z+19x-2y+19z\\(x+19x)+(20y-2y)+(-2z+19z)\\20x+18y+17z[/tex]
Kira unravels a shirt to get blue thread. From each centimeter (cm) of the shirt, Kira gets 231 cm of thread. She unravels 7cm of the shirt.
How much thread does Kira get ?
Answers
Answer:
1617 cm of thread.
Step-by-step explanation:
We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:
231 cm thread / 1 cm shirt
they tell us that she managed to remove 7 cm of shirt, therefore:
7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread
Therefore Kira obtained 1617 cm of thread.
Answer:
Kira gets 1,617
Step-by-step explanation:
In Khan word problems 4 grade divsion TRUST ME I GOT IT RIGHT!! THANK U
Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q - 2)
Answers
Answer:
27q + 74
Step-by-step explanation:
=80 - 48q -21q - 6
=27q + 74
What is the simplest form of StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot ?
Answers
Answer:
b
Step-by-step explanation:
Answer:
The Correct Answer is b
Step-by-step explanation:
Correct on Edg 2020
heart and give me a good rating if you dont mind ;)
Data was collected for 226 randomly collected 10 minute interval. For each Tim and I are in a rule the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below
What is the width for this GFDT?
Number of guest. Frequency
60-64. 57
65-69. 39
70-74. 7
75-79. 36
80-84. 87
Answers
Answer:
The class width of this grouped frequency distribution (GFDT) = 5.
The total width of the distribution = 25, that is, from 60 to 84.
Step-by-step explanation:
The class width of a GFDT (grouped frequency distribution) is obtained by dividing the range by the number of classes required and then rounding up.
Note that rounding up is different from rounding off as 4.2 is rounded up to 5 and rounded off to 4.
The class width is the span of each of the class in the grouped frequency distribution.
For this distribution,
Maximum value = 84
Minimum value = 60
Range = (Maximum value) - (Minimum value) = 84 - 60 = 24
Number of classes required = 5
Class width = (24/5) = 4.8 = 5 (rounded up).
The total width of the distribution is given as
Total width = Range + 1 = 24 + 1 = 25.
Hope this Helps!!!
please help with this
Answers
Answer:
Width = 3x^2 + 5
Step-by-step explanation:
Area = Length*Width
(6x^2+10)=2*Width Divide both sides by 2
3x^2+5 = Width
Answer:
3x^2 +5
Step-by-step explanation:
Take the pink area 6x^2 and divide by 2
6x^2/2 = 3x^2
Take the blue area and divide by 2
10/2 = 5
Add them together to find the width
The width is 3x^2 +5
Multiple choice question for geometry
Answers
Answer:
The first option
Step-by-step explanation:
You need to find the average of the y-coordinates because you are looking for the y-value of the midpoint
Answer:
The first one
Step-by-step explanation:
Hope this helped
Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.
Answers
Answer:
x²-3x+2=0
x²-2x-x+2=0
(x²-2x)(-x+2)=0
x(x-2)-1(x-2)=0
(x-2)(x-1)=0
x-2=0 or x-1=0
x=2 or x=1
Evaluate 2x^3 + 5x^2 + 4x + 8 when x = -2
Answers
Answer:
4Step-by-step explanation:
Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;
F(x) = 2x³ + 5x² + 4x + 8
at x = -2
f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8
f(-2) = 2(-8) + 5(4) +(-8) + 8
f(-2) = -16+20-8+8
f(-2) = -16+20
f(-2) = 4
The value of the function when x = -2 is 4
please help meee it has time limit
Answers
Answer:
It is boxes of cereal and bags of pretzels.
Step-by-step explanation:
Boxes of cereal costs $3.95 per box and pretzels cost $3.59 per bag. This is because 15.8÷4= $3.95 and 10.77÷3= $3.59
What’s the correct answer for this?
Answers
Answer:
D.
Step-by-step Explanation:
In the attached file
Which of the ratios below is equivalent to 1:3? Select all that apply.
A) 4:12
B) 6:18
C) 6:2
D) 8:24
E) 5:8
Answers
Answer:
[tex] \: \: \: \: \: 1 : 3 \\ = 4 : 12 \\ = 6 : 18 \\ = 8 : 24 \\ [/tex]
hope this helps
Answer:
Answer:
4:12
6:18
8:24
hope this helps
Step-by-step explanation: