The correct summary of the data is that about 160 people weigh more than 165 pounds, based on the empirical rule for a normal distribution.
Explanation:To summarize the data of the measured weights of 1,000 men in a certain village, which follows a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds, we can use the empirical rule (68-95-99.7). According to this rule, approximately 68% of data values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.
In this context, since 165 pounds is one standard deviation above the mean (150 + 15 = 165), it means approximately 16% of men (100% - 84%) will weigh more than 165 pounds, which translates to about 160 people (0.16 * 1000).
Therefore, the correct summarization is: About 160 people weigh more than 165 pounds.
divide use either way to record partial quotient 198÷9
To divide 198 by 9 using the partial quotients method, you estimate how many times 9 fits into 198, subtract, and sum up the partial results to get the final answer of 22.
To solve 198 ÷ 9 using the partial quotients method, follow these steps:
Estimate how many times 9 can go into 198. We start with a rough estimate that 9 can go into 198 around 20 times.
Calculate 9 x 20 = 180. Subtract this from 198, yielding 198 - 180 = 18.
Next, determine how many times 9 can fit into the remaining 18. This is 2 times since 9 x 2 = 18.
Subtract 18 from 18, resulting in a remainder of 0.
Add the partial quotients: 20 + 2 = 22.
So, 198 ÷ 9 = 22 using the partial quotients method.
Solve log(2x+3)=3
A. 500
B. 997
C. 1/2
D. 997/2
What is the value of -d when d = -2?
Let f(x)=8^x
What function represents a transformation of f(x) by a vertical stretch with factor 2?
g(x)=8^2x
g(x)=2⋅8^x
g(x)=8 1/2^x
g(x)=12⋅8^x
5x+9y+z=20
2x-y-z=-21
5x+2y+2z=-21
a+5.7>-2.3 what is the answer
Fill in each box below with an integer or a reduced fraction.
(a)
log
2
8
=
3
log28=3 can be written in the form
2
A
=
B
2A=B where
The logarithmic equation log2(8) = 3 convert to exponential form as 2^3 = 8.
Converting the logarithmic equation log2(8) = 3 to exponential form involves recognizing the base and the exponent.Logarithms state that if logb(A) = C, then the equivalent exponential form would be bC = A. In this case, since 2 is the base and 3 is the exponent to which 2 must be raised to get 8, we can write 2^3 = 8.
To further clarify, logarithms are simply a way to represent exponents, and they are widely utilized in mathematics to simplify the multiplication and division of exponents. A logarithm with a base of 10 is known as the common logarithm and is often written without a base as log(A). In contrast, when another base is used, it is indicated as logb(A). The relationship between logarithms and exponents is leveraged in various scientific and engineering fields to represent and calculate large numbers conveniently.
A store increases the price of a sweater from $20 to $22.What is the percent of increase?Select from the drop-down menu to correctly complete the statement.
a 0.1
b 0.2
c 2
d 9
e 10
f 20
Answer:
Find out the what is the percent of increase .
To prove
As given
A store increases the price of a sweater from $20 to $22.
Increase in the price = Increase price - Initial price
= $22 - $20
= $2
Formula
[tex]Percentage = \frac{increase\ in\ price\times 100}{Initial\ price}[/tex]
Here initial price = $20
increase in price = $2
put in the formula
[tex]Percentage = \frac{2\times 100}{20}[/tex]
[tex]Percentage = \frac{200}{20}[/tex]
Percentage = 10%
Therefore the increase in the price is 10% .
Option (e) is correct.
Final answer:
The percent of increase when a store raises the sweater's price from $20 to $22 is calculated as 10%, using the formula of difference over original price times 100, Option E is correct.
Explanation:
The question asks for the percent of increase when a store increases the price of a sweater from $20 to $22. To find the percentage increase, we take the increase in price ($2), divide it by the original price ($20), and then multiply by 100 to convert to a percentage. Thus, the calculation is (($22 - $20) / $20) * 100 = (2 / 20) * 100 = 0.10 * 100 = 10%.
State the domain and range of the function represented by the table
x= -4, -1, 0, 3
y= -4, -4, -4, -4
The domain of this function is { - 4, - 1, 0, 3 } and range of the function is
{ - 4 }.
What is the domain and range of a function?Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
The domain of the function f(x) is the set of x values that are
{ - 4, - 1, 0, 3 }
and the range of the function f(x) is { - 4 }.
As for every input, the output of the function remains the same so it is a constant function.
learn more about the domain and range here :
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Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above.
F(x, y, z) = yzi + 9xzj + exyk, C is the circle x2 + y2 = 1, z = 3.
The evaluation of[tex]\( \oint_C \mathbf{F} \cdot d\mathbf{r} \)[/tex] using Stokes' Theorem is [tex]\( \pi e - \pi \).[/tex]
Explanation:To evaluate[tex]\( \oint_C \mathbf{F} \cdot d\mathbf{r} \)[/tex] using Stokes' Theorem, we first need to find the curl of the vector field [tex]\( \mathbf{F}(x, y, z) = yz\mathbf{i} + 9xz\mathbf{j} + e^xy\mathbf{k} \)[/tex] . The curl is given by[tex]\( \nabla \times \mathbf{F} \)[/tex] , which, for this vector field, is [tex]\( (e^x - 9z)\mathbf{k} \).[/tex]
Now, we compute the surface integral over the surface ( S) bounded by the circle C . The given circle is[tex]\( x^2 + y^2 = 1 \)[/tex] with ( z = 3 ). The surface is the disk in the plane (z = 3) with radius ( r = 1 ). The surface integral is then [tex]\( \iint_S \nabla \times \mathbf{F} \cdot d\mathbf{S} = \iint_S (e^x - 9z) \, dS \)[/tex] , where dS is the area element. The projection of S onto the xy-plane is the circle C , so [tex]( dS = dA = \pi \).[/tex]
The final step is to evaluate[tex]\( \iint_S (e^x - 9z) \, dS \)[/tex] over the disk. Since z = 3 over the entire surface, the integral simplifies to [tex]\( \iint_S (e^x - 9 \cdot 3) \, dS = \pi e - \pi \).[/tex] Therefore, the final answer is[tex]\( \pi e - \pi \)[/tex] after applying Stokes' Theorem to evaluate the circulation of [tex]\( \mathbf{F} \)[/tex] around the circle C .
Graph the equation by plotting points
x=6 ...?
what is the ratio of 48 and 56
What is the area of this face ?
Answer:
28 square inches.Step-by-step explanation:
Notice that the yellow area is a compound area. Its height is 10 inches.
We can divide this area in three figures, one rectangle and two squares, where the square sides are 2 inches long.
So, the area of the squares is
[tex]A_{squares}=(2in)^{2} +(2in)^{2}=4in^{2} +4in^{2} =8in^{2}[/tex]
On the other hand, the rectangle has a height of 10 inches, and its base is 2 inches long. So its area is
[tex]A_{rectangle}=(10in)(2in)=20in^{2}[/tex]
Therefore, the yellow area is
[tex]A_{yellow}=A_{squares} +A_{rectangle}=8in^{2} +20in^{2} =28in^{2}[/tex]
So, the answer is 28 square inches.
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
To rent a certain meeting room, a college charges a reservation fee of $42 and an additional fee of $7.70 per hour. The math club wants to spend less than $80.50 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t .
(4n-3n^3)-(3n^3+4n) answer
The sum of negative eighteen and a number is eleven. What is the number?
Which equation could be used to solve the problem?
A) x - 18 = 11
B) 18 - x = 11
C) -x + 18 = 11
D) x + 18 = 11
The discriminant of a quadratic equation is negative. One solution is 3+4i . What is the other solution?
A.4-3i
B.3-4i
C.4+3i
D.-3+4i
Answer: Option B 3-4i is the correct option
Explanation:
we have formula for discriminant [tex]D=b^{2}-4ac[/tex]
after that we find the required variable that is to be find according to the quadratic equation given suppose we have to find x
then we have formula [tex]x=\frac{-b\pm\sqrt{D}} {2a}[/tex]
Here we have [tex]\pm[/tex] of roots if we have one root 3+41 other would be of opposite sign and hence,definitely be 3-4i.
Therefore Option B 3-4i is the correct option.
Find last year's salary if, after a 5% pay raise, this year's salary is $38,325?
The height of a candle depends on the amount of time the candle has been burning
20 Point question!!!!!!!! On the rectangular coordinate system, line PQ goes through P (6, − 2), and the midpoint of line PQ is (0, 5). What are the coordinates of point Q?
What is the sum of the geometric series below?
3+1+1/3+1/9+1/27
a. 67/27
b. 121/27
c. 40/9
d. 41/9
Answer:
Option B is correct.
Step-by-step explanation:
Given Geometric series : 3 , 1 , [tex]\frac{1}{3}\:,\:\frac{1}{9}\:,\:\frac{1}{27}[/tex]
To find: Sum of the series.
First term of the geometric series, a = 3
Common ration of the Geometric series, r = [tex]\frac{second\:term}{first\:term}=\frac{1}{3}[/tex]
Sum of the finite Geometric series , [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
Sum of the given 5 term term of given series , [tex]S_5=\frac{3(1-(\frac{1}{3})^5)}{1-\frac{1}{3}}=\frac{3(\frac{3^5-1}{3^5})}{\frac{3-1}{3}}[/tex]
= [tex]\frac{\frac{3^5-1}{3^3}}{2}=\frac{243-1}{2\times3^3}=\frac{121}{27}[/tex]
Therefore, Option B is correct.
simplifying rational expressions
which of the following is equal to therational expression when x=3 or -10
(x+5)(x-3)/(x-3)(x+10) ...?
how do I use elimination to solve the system 8x-7y=5 and 3x-5y=9 for y
Jake has already written 3 pages, and he expects to write 1 page for every additional hour spent writing. Write an equation that shows the relationship between the hours spent writing x and the total pages written y. Then Graph.
All employees at FashionMarket get 20% off all clothing and accessories Kim li recently brought a t shirt at fashionMart for a 20% discount conjunction Kim li workable at fashionMart
Answer:
D.
false; Kim Li could have received a 20% sale discount
Crafty Grandma Edith sat her family down during Thanksgiving and told them they couldn’t have any pumpkin pie until they worked out this puzzle. Her 6-year-old granddaughter was the first to solve it! Can you work out what 9183 equals?
8809 = 6 3590 = 2
7111 = 0 6855 = 3
9881 = 5 1012 = 1
6660 = 4 5731 = 0
5531 = 0 9191 = 2
2516 = 1 9183 = ?
I'm really confused about this one, could anyone help me?
A grocery store sells chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper?
A. $0.17
B. $1.70
C. $0.07
D. $1.07
Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is (20.27,61,77.27) meters.
A tortoise is walking in the desert. It walks for
37.5
meters at a speed of
3
meters per minute. For how many minutes does it walk?