Answer:
ln(2) - ln(7)
Step-by-step explanation:
Logarithmic expressions are represented using ln or log keywords
The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
The expression is given as:
[tex]\mathbf{ln(2/7)}[/tex]
The quotient rule of logarithm states that:
[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]
So, by comparison:
a = 2, and b = 7
So, we have:
[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]
Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
Read more about logarithms at:
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A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race during the past month. Do these data provide statistical evidence at the α = 0.05 level that women are less likely than men to run a five-kilometer race? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answer:
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Step-by-step explanation:
We are given;
Number of males selected; n₁ = 150
Number of females selected; n₂ = 190
Proportion of the males; p₁ = 0.6
Proportion of females; p₂ = 0.5
Let's define the hypotheses;
Null hypothesis; H0: p₁ ≥ p₂
Alternative hypothesis; Ha: p₁ < p₂
Now, the z score formula for this is;
z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))
Where;
p^ = (p₁ + p₂)/2
p^ = (0.6 + 0.5)/2
p^ = 0.55
Thus;
z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))
z = 0.1/0.0543
z = 1.84
From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;
P-value = 0.033
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
I need help with this noww
Answer:
B) 6/√3
Step-by-step explanation:
It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.
How to do subtract 1.7 from 3 show your work
HELP ME PLS, the function-
I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math
Answer:
8 quarts and 1 pint
Step-by-step explanation:
there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over
what is the answer? can someone help me
Answer:the answer u put is correct
Step-by-step explanation:
LOOK AT THE PHOTO AND ANSWER PLEASE
Answer:
Parallel, I think ||
Step-by-step explanation:
■■■■■■■
Yes they are parallel! Because they are on either sides of a rectangle this automatically makes them parallel.
The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
18.85
Step-by-step explanation:
adwadad
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer:
whats the question? theres no context other than that little bit
Answer:
The fence is 40 feet long.
Step-by-step explanation:
I suppose the question is "What is the length of the entire fence?"
Formula
3/8 x = 15 Multiply both sides by 8
8*(3/8)x = 15*8 Cancel
3x = 120 Divide by 3
3x/3 = 120/3
x = 40
Help
See the picture
Answer:
38.63Step-by-step explanation:
Area x height
Answer:
SA = 12 mi²
Step-by-step explanation:
bottom = 2 x 2 = 4 mi²
one side = 1/2(2)(2) = 2 mi²
SA = 4(2) + 4 = 12 mi²
Please help me please
Answer:
486 square inches
Step-by-step explanation:
The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).
Step-by-step explanation:
A(t)=P(e^(rt))
Insert the values as follows:
The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).
34820=P(e^((.78)(5)))
34830=P(49.4024)
704.82335
Hope that helps :)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
he action or condition of becoming or being made wider, larger, or more open.
Step-by-step explanation:
n+4=12 .step by step working please
[tex]n + 4 = 12[/tex]
Subtract sides minus 4
[tex]n + 4 - 4 = 12 - 4[/tex]
[tex]n = 8[/tex]
In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks
Answer:
1/6 or 16.666%
Step-by-step explanation:
8/48 and there is your answer.
Which property is illustrated by each equation?
a. a + (b + c) = (a + b) + C
b. ab
= ba
c. a (b + c) = ab + ac
Answer:
a. = associative
b. = communitive
c. = distributive
Abc is a right angle decomposed into 2 non overlapping angles. Abd and dbc. What kind of angle is dbc
Answer:
The answer is "[tex]m \angle ABD = 45^{\circ} \ \ and \ \ m \angle DBC = 45^{\circ}\\\\[/tex]"
Step-by-step explanation:
In this question, the adjacent angles aren't overlapping, and that they have the shared widely and have the common side. There ABC does have the correct angle, which includes two not overlapping ABD and DBC angles with such a joint B vertex and BD lines. Now it is constructed. Thus both angles are not overlapping:
[tex]m \angle ABD = 45^{\circ}\\\\m \angle DBC = 45^{\circ}\\\\or \ \ \text{the angles will may be} \\\\m \angle ABD = 35^{\circ}\\\\m \angle DBC = 55^{\circ}\\\\[/tex]
PLS HELP
A triangle is shown.
Part A: What is the value of x, in degrees?
13.8
16
20
24
Part B: What is the measure of 2Ain degrees?
22
30
38
48
Answer:
A: x=16
B: ∠A=22
Step-by-step explanation:
A
The angles in a triangle always add up to 180. Therefore:
∠A+∠B+∠C=180
(2x-10)+(3x)+(4x+46)=180
2x+3x+4x+46-10=180
9x=180-36
x=144/9
x=16
B
∠A=2x-10
∠A=2(16)-10
∠A=32-10
∠A=22
someone please help me answer this
Answer:
a = 6.7m is the answer.
Step-by-step explanation:
a = ?
b = 6m
c = 9m
According to the Pythagorean theorem,
a² + b² = c²
a² + 6² = 9²
a² + 36 = 81
a² = 81 - 36
a² = 45
a = 6.708
round to the nearest tenth,
a = 6.7m
∴ Janice is 6.7m high up in the air.
Jacqueline is buying a pair of pants for $30. They are on sale for 15% off, and she has a coupon for 10% off the sale price. How much does she pay for her pants?
Answer:
$22.50
Step-by-step explanation:
A simple closed figure bound by line segments is called polygon.
True or False?
Answer:
A. True
Step-by-step explanation:
I majored in Mathematics
Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?
What is the next term in the sequence below?
0.35, 1.05, 3.15, 9.45, …
A. 15.75
B. 27.75
C. 28.35
D. 85.05
Answer:
Its C
Step-by-step explanation:
one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored
The boy scored:
500 x 80% = 400 (marks)
Terrell ran around a track that was 100 yards long.
How many feet did he run?
Answer:
300ft
Step-by-step explanation:
Answer:
300 ft
Step-by-step explanation:
1 yd = 3 ft
100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft
Answer: 300 ft
ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
d
Step-by-step explanation:
it would be a parabola not linear
It says mr fuller wants to put fence around his rectangular yard. The length is 75 and the width is 55.
Answer:
Step-by-step explanation:
You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?
What units are used? (Feet, yards, meters, etc.)
area of yard = 75×55 = 4125 units²
amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.
The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
The width of the rectangular yard W = 55 feet
The length of the rectangular yard L = 75 feet
Let the perimeter of the rectangular yard be = P
And , the required fencing = Perimeter of rectangular yard
Perimeter of rectangular yard P = 2 ( L + W )
Substituting the values in the equation , we get;
Perimeter of rectangular yard P = 2 ( 55 + 75 )
Perimeter of rectangular yard P = 2 ( 130 )
Perimeter of rectangular yard P = 260 feet
Therefore , the value of P is 260 feet
Hence , the perimeter of yard is 260 feet
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Complete question;Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller
find the value of x. round to the nearest tenth if needed.
[tex]6^{2}+8^{2}=x^{2} \\36+64=x^{2} \\100=x^{2} \\x=10[/tex]
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $23.7 for a random sample of 4825 people. Assume the population standard deviation is known to be $11.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.