Answer:
see below (I hope this helps!)
Step-by-step explanation:
41. √20 = √4 * 5 = √4 * √5 = 2√5
43. The sum of interior angles in a triangle is 180°, therefore, x = 180 - (75 + 64) = 41°.
45. 15 + 5(2x - 3) = 15 + 5(2x) + 5(-3) = 15 + 10x - 15 = 10x
47. Complementary angles have a sum of 90°, therefore, x = 90 - 48 = 42°.
eon checked a book out of the library, but forgot to return it and owes
1.50 in fines. If a book is 1 day overdue, the fine is 10 cents, 2 days
verdue, 20 cents, 3 days overdue, 30 cents, and so on. How many days
verdue is Keon's book?
Answer:
15 days
Step-by-step explanation:
It seems that the fines are 10x cents for every x days overdue. Therefore, 10x = 150 (150 because $1.50 is 150 cents) so x = 15 days.
Two ships a and b are firing cannons at each other. Ship A reaches its target 30% of the time, Ship B 60% of the time. The ships take turns firing at one another. When a ship is hit it sinks. Ship A fires first. What is Ship A's survival probability, rounded to the nearest 0.01?
a. 33%.
b. 38%.
c. 42%.
d. 50%.
Answer: c. 42%.
Step-by-step explanation:
P(ship A reaches target) : P(A) = 0.30
P(ship B reaches target) : P(B) = 0.60
P( Ship B not reaching target ) : P(B^c) = 1 - p(B) = 1 - 0.60 = 0.40
P( Ship A not reaching target ) : P(A^c) = 1 - p(B) = 1 - 0.30 = 0.70
NOW
define A for A wins
define A^c for A loss
define B for B wins
define B^c for B loss
A ⇒ P(A) = 0.30
A^c B^c A ⇒P(A^c B^c A) = 0.70 × 0.40 × 0.30
A^c B^c A^c B^c A ⇒ P(A^c B^c A^c B^c A) = ( 0.70 × 0.40)² × 0.30
↓↓↓
∴P(A survives) = sum of all probabilities
⇒ 0.30 + ( 0.70 × 0.40 × 0.30 ) + ( 0.70 ×0.40 )² × 0.30 +...........................
⇒ 0.30 [ 1 + ( 0.28) + (0.28)² +..........................]
Now sum of geometric series S∞ = a / 1-β = 1 / 1 - 0.28
∴ 0.30 × 1/1-0.28 = 0.42
now converting to percentage
0.42 × 100 = 42%
Ship A's survival probability is 42%
i need help asap !!!!!
Answer:
D.) MC≅MC
Step-by-step explanation:
We already know that the hypotenuses are the same (because of that tiny line), so we need the legs (HL: hypotenuse-leg). As we can see in the picture, MC is a shared side of both triangles, and this is also the leg. Option D is correct.
:Done
Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0 for the given level of significance.
Two-tailed test with test statistic z= -1.94 and = 0.07.
P-value = ?
Answer:
Reject H0 as the critical region for alpha = 0.07 is z ≤ -1.82 and z≥ 1.82
Step-by-step explanation:
For the significance level ∝ = 0.07
For a two tailed test we divide it with 2 and get 0.035
When we subtract 0.035 from 1 we get 0.965
And when we look at the z- table and corresponding to 0.965 we find the value of z to be 1.82
Now the calculated value of z= -1.94 which is less than ±1.82.
Hence reject H0 if z ≤ -1.82 and z≥ 1.82
Therefore reject H0.
While ∝ =0.07
p- value = 0.06 should be examined
the p- value is the smallest value of ∝ where we reject H0.
Hence at ∝= 0.06 critical region is z ≤ -1.88 and z≥ 1.88
At ∝= 0.05 critical region is z ≤ -1.96 and z≥ 1.96
So p- value is near 0.06
how can I make an equation for the numbers 84, 8, and 1
Identify the type of study used. A town obtains current employment data by polling 10,000 of its cit izens this month.
A) Cross-sectional
B) Prospective
C) Retrospective
D) None of these
Answer:
A) Cross-sectional
Step-by-step explanation:
A cross-sectional study is a type of study that involves the data i.e. taken from a population for a specific time period.
Here study shows the peoples interest in variables that are be chosen
In the given situation, since a town obtains a data of the current employment for 10,000 of its total citizens
So this represents the cross-sectional
hence, the correct option is A. Cross-sectional
What is the slope of the line?
Answer:-1
Step-by-step explanation:
Do Rise-over-run which is -1/1 (y over x)
Answer:
-1
Step-by-step explanation:
Pick two points on the line
(-2,0) and ( 0,-2)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-2-0)/(0 - -2)
( -2-0)/(0+2)
-2/2
-1
the square of a number, x, is 16 less than 8 times the number. what is the number
Answer:
x=4
Step-by-step explanation:
Building an equation and solving it, it is found that the number is 4.
------------------------------
The number is unknown, so it is called x.The square of 1 is [tex]1^2 = 1[/tex], the square of 2 is [tex]2^2 = 4[/tex], thus the square of the number x is [tex]x^2[/tex].8 times the number is 8x.16 less than 8 times the number is 8x - 16.------------------------------
The equality is:
[tex]x^2 = 8x - 16[/tex]
[tex]x^2 - 8x + 16 = 0[/tex]
Applying the perfect square binomial:
[tex](x - 4)^2 = 0[/tex]
[tex]\sqrt{(x - 4)^2} = \sqrt{0}[/tex]
[tex]x - 4 = 0[/tex]
[tex]x = 4[/tex]
The number is 4.
A similar problem is given at https://brainly.com/question/20742606
which expression is equivalent to 4^6 x 4^-8
Answer:
4^-2=1/16
Step-by-step explanation:
When we are multiplying exponents and the bases are the same, we add the exponents
4^6 * 4^-8
4^(6+-8)
4^-2
1/16
The rate of change in revenue for Under Armour from 2004 through 2009 can be modeled by dR /dt = 13.897t + 284.653 t where R is the revenue (in millions of dollars) and t is the time (in years), with t = 4 corresponding to 2004. In 2008, the revenue for Under Armour was $725.2 million.
†
(a) Find a model for the revenue of Under Armour. (Round your constant term to two decimal places.) R(t) = 6.9485t2+284.653 ln(t)-311.42 Correct: Your answer is correct.
(b) Find Under Armour's revenue in 2009. (Round your answer to two decimal places.) $ million
Answer:
The revenue is [tex]R(9) = \$ 876.9[/tex]
Step-by-step explanation:
From the question we are told that
The rate of change in revenue for Under Armour from 2004 through 2009 is
[tex]\frac{d R }{dt } = 13.897t + \frac{284.653}{t}[/tex]
Now
[tex]dR = (13.897t + \frac{284.653}{t})dt[/tex]
Integrating both sides to obtain R(t)
[tex]\int\limits dR = \int\limits (13.897t + \frac{284.653}{t})dt[/tex]
[tex]\int\limits dR = \int\limits (13.897\frac{t^2}{2} + 284.653(ln (t)) ) + C[/tex]
=> [tex]R(t) = 6.9485t^2 + 284.653(ln (t) ) + C[/tex]
From the question we have that at t = 8 [tex]R(8)= \$ 725.2 \ million[/tex]
[tex]725.2 = 6.9485(8)^2 + 284.653(ln (8) ) + C[/tex]
=> [tex]C = -311.4[/tex]
So
[tex]R(t) = 6.9485t^2 + 284.653(ln (t) ) -311.4[/tex]
At t = 9
[tex]R(9) = 6.9485*(9)^2 + 284.653(ln (9) ) -311.4[/tex]
[tex]R(9) = \$ 876.9[/tex]
What is the equation of a vertical line passing through (−5, −2)? a: x = −5 b: x = −7 c: y = −3 d: y = −2
The answer is
A : x=-5
PLEASE HELP (0.1)^5 simplified
Answer:
0.1^5=0.00001
Step-by-step explanation:
[tex]0.1^5\\0.1^5=0.00001[/tex]
g 3.6 Dice rolls. If you roll a pair of fair dice, what is the probability of (a) getting a sum of 1
Answer:
0
Step-by-step explanation:
In the roll of a pair of fair dice, The sample space is as follows:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
If x,y represent the possible outcome of rolling the two die
Then the total number of possibilities for the sample space = (x,y)
= (6 × 6) = 36
Now, the probability of getting a sum of 1 does not exist in the roll of a pair of fair dice.
Therefore, Probability(1) = 0
what is f(3) for f(x) = 3x + 2
Answer:
11
Step-by-step explanation:
f(x) = 3x + 2
Let x = 3
f(3) = 3*3 +2
f(3) = 9+2
= 11
Answer:
f(3) = 11Step-by-step explanation:
f(x) = 3x + 2
In order to find f(3) substitute the value of x that's 3 into f (x) that's replace every x in f (x) by 3
That's
f(3) = 3(3) + 2
= 9 + 2
We have the final answer as
f(3) = 11Hope this helps you
Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. If 40 people attend the play and the play brought in $440, then __?__children attended the play.
The total number of children who attended play is 10 and this can be determined by forming the linear equation in two variables.
Given :
Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. 40 people attend the play and the play brought in $440.The following steps can be used in order to determine the total number of children attending play:
Step 1 - Let the total number of adults attending play be 'x' and the total number of children attending play be 'y'.
Step 2 - The linear equation that represents the total number of people attending the play is:
x + y = 40
x = 40 - y --- (1)
Step 3 - The linear equation that represents the price of all the tickets is:
12x + 8y = 440 --- (2)
Step 4 - Now, substitute the value of 'x' in the above expression.
12(40 - y) + 8y = 440
Step 5 - Simplify the above expression.
480 - 12y + 8y = 440
40 = 4y
y = 10
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Does anyone know the answer to number 1?
Answer:
Rectangles
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\mathrm{Rectangles}}[/tex]
Step-by-step explanation:
Figure A and figure B are rectangles.
Rectangles have opposite sides equal and parallel.
Rectangles have 4 right angles and 4 pairs of perpendicular sides.
What is the slope of the line below?
(-4,6)
(1, -9)
Answer:
-3
Step-by-step explanation:
Slope = [tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
slope = 6 - -9/ -4 - 1
slope = 15 / -5
slope = -3
Solve the system of linear equations by graphing. y−2x = 5 6x−3y = −15
There are two different maps of California. The scale on the first map is 1 cm to 20 km. The distance from Fresno to SanFrancisco is 15 cm.The scale on the second map is 1 cm to 100 km.What is the distance from Fresno to San Francisco on the second map? Explain your reasoning.
Answer:
the distance from Fresno to San Francisco on the second map is 75cm
Step-by-step explanation:
The scale on the first map is 1 cm to 20 km
The distance from Fresno to SanFrancisco is 15 cm
1cm/20km = 15cm
The scale on the second map is 1 cm to 100 km.
1cm/100km = x
X= 15cm*100km/20km *1cm/1cm
X=15cm *5
X= 75 cm
the distance from Fresno to San Francisco on the second map is 75cm
"Bob is dealing with discrete data and the samples are without replacement. Based on this information, what is the likely probability distribution"
Answer:
discrete probability distribution
Step-by-step explanation:
A discrete probability distribution is a term that describes a form of a probability distribution that is used in a situation where the set of possible outcomes is discrete.
While it also has a tendency to take on a countable number of values, it is a probability distribution where a sample is drawn from a larger population, this sample points possess an empirical distribution that is considered to be discrete, which resulted in information about the population distribution.
Hence, given that Bob is dealing with discrete data and the samples are drawn without replacement, the likely probability distribution is DISCRETE PROBABILITY DISTRIBUTION
Ana is purchasing new furniture and must pay a 10% sales tax. She can have the furniture delivered for an additional $25 fee that is not taxed. Which function represents the amount Ana will pay for furniture with a pretax price of x dollars?
Answer:
C) P(x)=1.10x+25
Step-by-step explanation:
The algebraic expression for the amount Ana will pay for furniture with a pretax price of x dollars = 1.1x + 25
What is algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Learn more about algebraic expression here
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Identify the problem with the following study. An internet poll on a website asks people to indicate whether or not they have a cable TV subscription. 1974 people respond with 847 indicating that they do have a cable TV subscription.
A.nonresponse
B.voluntary response
C.precise numbers
D.correlation and causality
Answer:
B. VOLUNTARY RESPONSE
Step-by-step explanation:
The sampling method here is voluntary response.
What are Sampling Methods?Sampling methods are used to choose members from the population to be a part of a study.
There are different kinds of sampling methods used in different scenarios like simple random sample, stratified random sample, systematic random sample and cluster random sample.
There are also methods like voluntary response and convenience sample which are not that effective.
Voluntary response sample is a method of sampling by which researcher requests to members of a population to take part in the sample and the member decides to whether join or not to join in the sample.
Given study is an internet poll where the researches asks people to indicate whether or not they have a cable subscription. 1974 people responded to the poll fully on their consent.
Researcher has not selected or did any systematic method in selecting these members.
Hence the sampling study given here worked through voluntary response sampling.
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Triangle XYZ is dilated by a factor of 3 with the center of dilation at the origin to form triangle X′Y′Z′. What are the coordinates of triangle X′Y′Z′? Question 15 options:
A) X′ (0, 9), Y′ (0, 0), Z′ (15, 0)
B) X′ (0, 6), Y′ (0, 0), Z′ (10, 0)
C) X′ (0, 15), Y′, (0, 0), Z′ (5, 0)
D) X′ (0, 6), Y′ (0, 0), Z′ (15, 0)
Answer:
D) X′ (0, 6), Y′ (0, 0), Z′ (15, 0)
Step-by-step explanation:
From the image attached, given that the location of the triangle is at:
X(0, 2). Y(0, 0), Z(5, 0)
Transformation is the movement of a point from its initial position to a new position. A shape is transformed by transforming all the points in the shape. Types of transformations are reflection, rotation, dilation and translation.
A dilation produces the same shape but different size. If the dilation < 1, then it is a reduction but if dilation > 0 then it is an enlargement.
A point A(x, y) which is dilated by a factor of c at the origin has new coordinates at A'(cx, cy).
Since triangle XYZ is dilated by a factor of 3 with the center of dilation at the origin, this represents an enlargement and the new coordinates of the triangle are:
X'(3*0, 3*2) = X'(0, 6)
Y'(3*0, 3*0) = Y'(0, 0)
Z'(3*5, 3*0) = X'(15, 0)
Answer:
D
Step-by-step explanation:
What is the value of x in the equation 2x + 1/2x + 2(1+x) = 29?
Answer:
x = 6Step-by-step explanation:
[tex]2x + \frac{1}{2} x + 2(1 + x) = 29[/tex]
Multiply through by 2
That's
[tex]4x + x + 4(1 + x) = 58[/tex]
Expand
That's
5x + 4 + 4x = 58
9x = 58 - 4
9x = 54
Divide both sides by 9
That's
[tex] \frac{9x}{9} = \frac{54}{9} [/tex]
We have the final answer as
x = 6Hope this helps you
On a distant planet, a ball is thrown upwards from ground level , reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form a * x ^ 2 + bx + c =0 that could be used to calculate when the ball is a height of 3m. Do not solve the equation
Answer:
(-3/4)x^2 + 6x = 3
Step-by-step explanation:
It takes 8 seconds for the ball to reach its maximum height and then return to ground level; thus, the highest point (vertex) the ball will reach is reached after 4 seconds. The graph showing this motion is a parabola that opens down. Thus, the coefficient 'a' must be negative.
Returning to a * x ^ 2 + bx + c, we write out two instances of this formula, one for x = 0 and the other for x = 8. This is because {0, 8} are the x-intercepts.
Then, for x = 0, a * x ^ 2 + bx + c becomes a * 0 ^ 2 + b*0 = 0,
and for x = 8, a * x ^ 2 + bx + c becomes a(8)^2 + b(8) + c = 0
The first equation tells us that 'c' must be 0. The second equation tells us that 64a + 8b = 0, which is equivalent to 8a = -b, or a = -b/8.
We then have the quadratic function (-b/8)x^2 + bx + 0. All we have to do now is to find the value of b. The vertex of this parabola is (4, 12), and so the quadratic becomes
(-b/8)(4)^2 + b(4) = 12. To solve this for b, multiply all terms by 8:
-b(16) + 32b = 96, or
16b = 96, or b = 6. Since a = -b/8 (see above), a = -6/8 or a = -3/4.
Then the equation of motion is
height of ball = (-3/4)x^2 + 6x
We want to know when the ball is at a height of 3 m. Thus, set this equation of motion = to 3 and solve for x (the times at which height = 3 m):
(-3/4)x^2 + 6x = 3 This is the desired quadratic equation.
If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
drive if he wants to take 5 hours?
O 50 mph
52.4 mph
O 60.5 mph
O 51.5 mph
Answer:
55mph
None of the option is correct
Step-by-step explanation:
Let v be the speed and t as the time taken. If speed varies inversely as the time it takes to drive, then v ∝ 1/t.
v = k/t where k is the constant of proportionality.
IF it takes Kris 5 hours when driving at 55 mph, then v = 55mph when t = 5 hours.
Substituting this values into the formula above;
55 = k/5
k = 55*5
k = 275mp/hr²
To calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t
v = 275/5
v = 55 mph
Hence, martin will also need to drive at 55mph to take 5 hours
Give an example of a number that is a whole number, but NOT a natural number.
PLEASE HELP
Answer:
0
Step-by-step explanation:
Natural numbers or the counting numbers is all the positive, non-decimal numbers. They are 1, 2, 3... and so on. Natural numbers does not include 0.
Whole numbers are all the natural numbers with the addition of 0. In other words, whole numbers are: 0, 1, 2, 3... and so on.
Therefore, the only number that is a whole number and that's not a natural number is 0.
Answer: 0
Step-by-step explanation: The set of counting numbers, {1, 2, 3, 4, ...}
is called the set of natural numbers.
When we include 0 in the set of natural numbers,
the new set, {0, 1, 2, 3, ...} is called the set of whole numbers.
Notice that all natural numbers are
included within the set of whole numbers.
We can represent the relationship between these two
sets of numbers using the diagram shown below.
In fact, 0 is the only whole number that's not a natural number.
Solve the equation and state the value of x
w - 2 = -8- 5w
Answer:
x=-1
Step-by-step explanation:
w-2=-8-5w
-2=-8-6w
+8 +8
6=-6w
divide 6 in both side
x=-1
hope this help.
List all segments that could represent a corresponding height if the side n is the
base.
m
Answer:
g,h,m
Step-by-step explanation:
All three of these line segments are perpendicular on n (which acts as the base).
Therefore , g,h,m are corresponding heights
Points F (0,0), G (9,0), and H (9,12) are the vertices of a triangle.
What is the distance from point F to point H?
A. 9
B. 12
C. 15
D. 21
Answer:
15
Step-by-step explanation:
Because I said so
The distance from point F to point H is 15 units. Option C is correct.
In order to get the distance from point F to point H, we will use the distance formula as shown:
[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the coordinate points F(0,0) and H(9, 12)
[tex]FH=\sqrt{(12-0)^2+(9-0)^2}\\FH =\sqrt{12^2+9^2}\\FH=\sqrt{144+81}\\FH=\sqrt{225}\\FH = 15units[/tex]
Hence the distance from point F to point H is 15 units. Option C is correct.
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