Answer:
B.
About 16% of the books have fewer than 150 pages.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 180, standard deviation = 30.
150 pages:
150 is 180 - 30 = 1 standard deviation below the mean.
We have that approximately 68% of measures are within 1 standard deviation of the mean, so 100 - 68 = 32% are more than one standard deviation.
The normal distribution is symmetric, which means that of those 32%, 32/2 = 16% are more than 1 standard deviation below the mean, that is, below 150.
So the correct answer is given by option B.
d = 8.1h
The variable h represents the number of hours spent walking dogs, and the variable d
represents the amount of money earned. How many hours in all will it take Janelle to earn a
total of $19.44?
Answer:
2.4 hours or 2 hours, 24 minutes
Step-by-step explanation:
19.44 = 8.1h
h = 2.4
-15x + 5 = -10x + 25 solve for x
Answer:
Move all terms containing x to the left side of the equation.
−5x+5=25
Move all terms not containing x to the right side of the equation.
−5x=20
Divide each term by −5 and simplify.
x=−4
Step-by-step explanation:
Answer:
[tex]15x + 5 = -10x + 25[/tex]
[tex]15x+5-5=-10x+25-5[/tex]
[tex]15x=-10x+20[/tex]
[tex]15x+10x=-10x+20+10x[/tex]
[tex]25x=20[/tex]
[tex]\frac{25x}{25}=\frac{20}{25}[/tex]
[tex]x=\frac{4}{5}[/tex]
The vertex of the function is (6, -8)
Answer: I did a screen shot of the answer
Step-by-step explanation:
1
The graph of the linear function y = f(x)
passes through the points (1, 2) and
(5, -1). What is the rate of change of y
with respect to x?
4
A
с
3
4
3
3
B
mit
D
wie
4
Answer:
-3/4
Step-by-step explanation:
y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5
simplified is
3 divided by -4 or just -3/4
PLEASE HELP ME ON THIS!
the height of a rectangular prism is 8 meters, and the volume is 308 cubic meters. what is the area of the prisms base in square meters?
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Answer:
38.5 square meters
Step-by-step explanation:
The relevant volume formula is ...
V = Bh . . . . where B is the area of the base, and h is the height
Solving for B, we get ...
B = V/h
B = (308 m³)/(8 m) = 38.5 m²
The area of the prism's base is 38.5 square meters.
10 x __= 5/6 + 5/6 Solve.
Answer:
[tex]let \: that \: number \: be \: m \\ 10 \times m = \frac{5}{6} + \frac{5}{6} \\ 10m = \frac{10}{6} \\ m = \frac{10}{60} \\ m = \frac{1}{6} [/tex]
Determine the amplitude or period as requested . Amplitude of y = - 1/3 * sin x
Answer: amplitude and period are two different things. The amplitude is -1/3, and the period is 360 degrees.
Step-by-step explanation: to find the amplitude, you just look at what number is in front of sin. If there isn't one, an amplitude of 1 is implied (in this case. Keep in mind that different functions have different standards).
To find the period, you take term b (which is what comes after sin). In this case, b is 1 because there's no specific number there. Again, it's implied. Because this is sin and not tan, for example, you take 360/b=period. 360/1=360 degrees.
Write an equation of a line in slope intercept form that passes through (-3, -4) and (4, 3)
Answer:
y= 1x-1
Step-by-step explanation:
i used stat edit
Find the equivalent expression of 1/
4.4.4
Answer:
I think it is -4^3
Step-by-step explanation:
because I say so
Which number line is the correct solution to y z l?
-5
43 -2 -1 0
1
2
3
4
5
B
-5
4 -3 -2
-
0
2
3
5
4
-5
-3
-2 -1
o
2
3
D
-5 4 3 2 1
2
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Answer:
A C D AStep-by-step explanation:
These state exam questions are checking that you know certain things about linear equations and inequalities, and how to solve and graph them. It is also checking that you now the meanings of certain math terms and can translate those meanings to relationships between numbers.
__
1. The "slope-intercept form" of a linear equation is ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
Note that the left side is "y =", eliminating the last two answer choices.
The problem tells you the slope is m = 2, and the y-intercept is b = 5. Then the equation is ...
y = 2x + 5 . . . . matches A
__
2. The picture is fuzzy, but we think it says y ≥ 1. The little bar in the comparison symbol means "or equal to", so you're looking for a graph that shows numbers greater than or equal to 1. The "or equal to" means the end dot on the graph will not be an open circle, but will be a solid dot. The "greater than" means the shaded part of the line is to the right of that dot.
graph C is the appropriate representation
__
3. The picture is fuzzy, but we think it says 126 < -7x. For this sort of inequality, you are expected to know that multiplying or dividing by a negative number will reverse the inequality symbol.
126 < -7x . . . . given
126/-7 > x . . . . divide both sides by the coefficient of x, -7
-18 > x . . . . . matches D
__
4. This is a vocabulary question. Angles are "complementary" when their sum is 90°. The sums of the given angle pairs are ...
A: 90° . . . . the correct answer choice
B: 100°
C: 180°
D: 185°
Pls help me and explain!!
Answer:
22.919 or 23 degrees
Step-by-step explanation:
Use the theta or x in place of the usual angle. the lengths are adjacent and hypotenuse (a/h) so you use cosine. cos(x)=35/38 or cos(θ)=35/38
A person invests $1,000 into stock of a company that hopes to go public in one year. The probability that the person will lose all his money after one year (i.e. his stock will be worthless) is 35%. The probability that the person’s stock will still have a value of $1,000 after one year (i.e. no profit and no loss) is 60%. The probability that the person’s stock will increase in value by $10,000 after one year (i.e. will be worth $11,000) is 5%. Find the expected profit after one year.
Answer:
The expected profit after one year is of $150.
Step-by-step explanation:
Probabilities after one year:
35% probability of losing $1,000, that is, 35% probability of a profit of -$1,000.
60% probability of still having a value of $1,000, that is, 60% probability of a profit of $0.
5% probability of a increase in value of $10,000, that is, a profit of $10,000.
Find the expected profit after one year.
Each value is multiplied by its probability. So
[tex]E = -0.35*1000 + 0.6*0 + 0.05*10000 = 150[/tex]
The expected profit after one year is of $150.
The function F(x)=2^x is shifted 4 unit left . The results is g(x). what is g(x)
Answer:
ID-=35'-
Step-by-step explanation:
Yare Yare daza
ORAORAORAORAORAORAORAORA!!!!!
Answer:
Wonderfully put, bravo
Step-by-step explanation:
Answer:
(jotaro) "yare yare daze"
Step-by-step explanation:
(star platinum)
"ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORA
yare yare
ORA ORA ORA ORA ORA ORA ORAORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA ORA
OOOOOOOOORA!
Consider the function f(x) = x3 + 34 over the interval [–3, 4]. According to the extreme value theorem, the function has a minimum value of
and a maximum value of
.
The answer for this question is:
7, 98
The minimum value of the function is 7 and the maximum value of the function will be 98.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = x³ + 34
The function is defined for the interval of [–3, 4].
The minimum value of the function at x = –3 will be
f(–3) = (–3)³ + 34
f(–3) = –27 + 34
f(–3) = 7
The maximum value of the function at x = 4 will be
f(4) = (4)³ + 34
f(4) = 64 + 34
f(4) = 98
Thus, the minimum value of the function is 7 and the maximum value of the function will be 98.
The graph is given below.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
exponential function models the annual rate of increase. Find the monthly and quarterly rates
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Answer:
1. monthly: 0.25%; quarterly: 0.75%
2. monthly: ≈ 0.45833%; quarterly: 1.375%
Step-by-step explanation:
In each case, the base of the exponential term is the annual growth factor. The annual growth rate (interest rate) is ...
growth rate = growth factor - 1
Then the monthly rate is ...
monthly rate = growth rate/12
and the quarterly rate is ...
quarterly rate = growth rate/4
__
1. monthly rate = (1.03 -1)/12 = 0.03/12 = 0.0025 = 0.25%
quarterly rate = (1.03 -1)/4 = 0.03/4 = 0.0075 = 0.75%
__
2. monthly rate = (1.055 -1)/12 = 0.055/12 ≈ 0.0045833 = 0.45833%
quarterly rate = (1.055 -1)/4 = 0.055/4 = 0.01375 = 1.375%
Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?
Answer:
she gives 225
Step-by-step explanation:
750×30% equals to 225
Answer:
Stephanie gives $225 to charity a month
Step-by-step explanation:
$750 / 100 = 7.5
7.5 x 30 = 225
7.5 x 70 = 525
700 - 525 = 225
Which angle is an adjacent interior angle?
martin has $.50. Sara has 10 times more than Martin. Jon has one tenth as much as Martin. Does Sara has more than Martin? Does Jon have more money than Martin?
Answer:
Sara has more than Martin
no Jon has less money than martin
Step-by-step explanation:
martin=0.50
Sara: 0.50×10 = 5
jon: 0.50(1/10)= 0.05
- If A = 2x + 4 and B = 5x – 10 what is the value of
B-A?
Answer:
3x - 14Step-by-step explanation:
5x-10 - (2x+4)
= 5x - 10 -2x - 4
=3x-14A sales manager wanted to determine if increasing sales commissions by 5% would increase employee satisfaction. Her analyst determined the p-value was 0.04. (Use α = 0.05.)
Based on the above output, what is the correct conclusion for the Wilcoxon Signed Rank Test?
a. We do not have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
b. We do not have evidence that there is a difference in sample median employee satisfaction rating before and after the commission change.
c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
d. We have evidence that there is a difference in sample median employee satisfaction rating before and after the commission change.
Answer:
c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
Step-by-step explanation:
Pvalue is less than the alpha-level:
If the pvalue is less than the alpha-level, we have that there is sufficient evidence of the hypothesis for the population mean/median/standard deviation we are testing.
In this question:
Pvalue less than the alpha-level, so there is evidence that there is a difference in the population median. This means that the correct answer is given by option C.
The correct conclusion is: c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
The given parameters are:
[tex]\mathbf{p = 0.04}[/tex] --- the p-value
[tex]\mathbf{\alpha = 0.05}[/tex] --- the significance value or the alpha level
From the options, we understand that the test parameter is the population median
By comparison, the p-value (0.04) is less than the alpha level (0.05)
When the p-value is less than the alpha-level, then it means that there is enough evidence of the hypothesis for the population parameter that is being tested.
Since the p-value is less than the alpha level, then it means that there is enough evidence to show the difference in the population median.
Hence, option (c) is correct
Read more about hypothesis testing at:
https://brainly.com/question/17347077
The double box plot shows the cost of the top-selling lunch menu items at two local restaurants. Determine which inference is true about the two populations.
Answer:
The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.
Step-by-step explanation:
In the picture
For the right triangles below, find the exact values of the side lengths and .
If necessary, write your responses in simplified radical form.
Answer:
[tex]c=\frac{2\sqrt{3}}{3}[/tex]
h=[tex]3\sqrt{2}[/tex]
Step-by-step explanation:
Please see the attached image. It is a good idea it to memorize these triangle properties because you will definitely use them in the future.
c=[tex]\frac{2}{\sqrt{3} } =\frac{2*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{2\sqrt{3}}{3}[/tex]
h=[tex]3\sqrt{2}[/tex]
classes
3. Jeff, Lorri, and Dan had a race.
In how many different ways
could they come in first, second,
and third?
Answer:
6 different ways.
Step-by-step explanation:
(1) Jeff, Lorri, Dan
(2) Jeff, Dan, Lorri
(3) Lorri, Jeff, Dan
(4) Lorri, Dan, Jeff
(5) Dan, Jeff, Lorri
(6) Dan, Lorri, Jeff
Star Time:7:30 A.M Elapsed Time:2 hours, 20 minutes End Time is
Answer:
9:50 A.M.!
Step-by-step explanation:
7 HRS +2 HRS = 9 HRS
30 MINS + 20 MINS = 50 MINS
It cost Andrew $21 to buy 7 binders. At this price, how much would it cost him to buy 4 binders?
Hi if you can help me that’d be great! Just show me the work/steps you took to answering the question and your explanation!
Answer:
x = 7
y = 16
upper 2 sides = 12
lower 2 sides = 19
Step-by-step explanation:
2x + 5 = x + 12
combine like terms:
x = 7
y - 4 = x + 5
y - 4 = 7 + 5
combine like terms:
y = 16
Upper sides = 7 + 5 = 12
Lower sides = 7 + 12 = 19
please help i will give brainliest.
Answer:
754 ft²Step-by-step explanation:
Given
d = 24 fth = 4 ftRequired amount of vinyl:
πdh + πd²/4 =3.14*24*4 + 3.14*24²/4 = 754 ft² (rounded)Rachael has 20 thin rods whose lengths, in centimetres, are 1, 2, 3, ... 20. Any two rods can be connected at their ends. Rachael selects three rods to make a triangle, then three other rods to make a second triangle, and so on. a Only one of Rachael's rods cannot be the side of a triangle. Determine which one. b Rachael uses six of her rods that are no more than 7 cm to make two triangles. In how many ways can she do this? c Show how Rachael could use 15 of her rods to make five triangles, each with an even perimeter. d Rachael wants to use 18 rods to form a set of six triangles with equal perimeters. Either find such a set or explain why no such set exists.
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Answer:
a) 1
b) 3
c) {{3, 6, 7}, {8, 12, 14}, {9, 10, 17}, {11, 13, 16}, {15, 18, 19}
d) cannot do. The numbers cannot add up.
Step-by-step explanation:
a) The minimum difference between rod lengths is 1. A unit-length rod cannot be used, because the sum of that and another length cannot exceed a third length. 1 + 2 = 3; is not greater than 3.
__
b) The 3 possible pairs of triangles are
{2, 3, 4}, {5, 6, 7}
{2, 4, 5}, {3, 6, 7}
{2, 6, 7}, {3, 4, 5}
__
c) There are numerous ways to make 5 triangles having an even perimeter. One is shown above. Several more are ...
{5, 12, 15}, {7, 17, 18}, {8, 10, 16}, {9, 13, 20}, {11, 14, 19}
{5, 15, 16}, {6, 9, 13}, {7, 14, 19}, {8, 11, 17}, {10, 12, 18}
{3, 9, 10}, {5, 15, 16}, {7, 13, 18}, {8, 11, 17}, {12, 14, 20}
{4, 9, 11}, {5, 12, 13}, {7, 18, 19}, {8, 15, 17}, {10, 16, 20}
{5, 12, 13}, {7, 18, 19}, {8, 11, 15}, {9, 17, 20}, {10, 14, 16}
__
d) No such set exists.
The sum of the 19 rod lengths is 209. Even if we throw out the rod of length 20 (to make a set of 18 rods), the perimeter must be at least 2(19)+1 = 39. Six triangles with that perimeter would require a total rod length of 6(3) = 234. The total length of rods is insufficient to make the required triangles.
Helppppp
A coin is weighted so that the probability of getting heads is Suppose you toss this coin 15 times. Let X
represent the number of heads. What are the mean and standard deviation of X?
= 0.67.00.88
H-7.50 -2.33
H-7.50 -3.23
10, 1.83
Answer:
C) 10, 1.83
Step-by-step explanation:
Answer:
should be D) = 10, = 1.83
Step-by-step explanation:
guessed it right, edge 23