The probability that the father and son will obtain a kill if they both fired at an animal the same time is 0.9
What is the probability of an event?The probability of an event is the likelihood of the occurrence of event.
The average number of animals the father kills every 5 shots he takes = 2
The average number of animals the son kills every 2 shots he takes = 1
[tex]Probability = \dfrac{Number \ of \ required \ items}{Number \ of \ possible \ outcomes}[/tex]
Which gives:
The probability that the father kills an animal = [tex]P(F) = \dfrac{2}{5} = 0.4[/tex]
The probability that the son kills an animal is; [tex]P(s) = \dfrac{1}{2} =0.5[/tex]
The probability that if the father and the son fires at the same animal, the probability that they will obtain a kill, which is the probability that the animal is killed , P(A) = The probability that the father kills the animal + The probability that the son kills the animal
P(A) = P(F) + P(s) = P(F) ∪ P(s)Which gives: P(A) = 0.4 + 0.5 = 0.9
The probability that the animal will be killed is approximately 0.9
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What value of x satisfies the equation?
3(x−5)=5x−(3−x)
Responses
-4
-12
−2/3
8/3
The value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is
x = - 12.
What is Equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is the following equation -
3(x − 5) = 5x − (3 − x)
The given equation is -
3x - 15 = 5x - 3 + x
Simplifying for (x), we get -
3x - x - 5x = - 3 + 15
- x = 12
x = -12
Therefore, the value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is x = - 12.
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It takes 2 minutes to print out 3 posters at Carla's school.How long would it take to print out 14 posters
-27 = -w/5 solve for w and simplify as much as possible and put the anwser
Answer:
w = 135
Step-by-step explanation:
-27 = -w/5
multiply both sides by 5:
5(-27) = 5(-w/5)
-w = 135
divide both sides by -1:
-w/-1 = 135/-1
w = 135
The value of w is 135 in the equation -27 = -w/5 .
We are provided with the equation mentioned below:
-27 = -w/5
As per the question we have to simplify and solve this above mentioned equation. To simplify this provided equation we will follow the steps mentioned below:
-27 = -w/5 equation 1
On multiplying both the sides of equation 1 with 5, we will get
(-27) × 5 = (-w/5) × 5
- 135 = -w equation 2
On multiplying both the sides of equation 2 with -ve sign, we will get
w = 135
Thus, we can write that the value of w is 135.
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-4.25 ⋅ (3/10 + 1/5)
Answer: -0.85
Step-by-step explanation:
3/10 + 1/5 = 1/2
1/2 x -4.25 = -0.85
PLEASE ANSWER ASAP!!
A) The end behavior of the polynomial graph is that;
as x → -∞, y → -∞, and as x → ∞, y → ∞
B) The given graph polynomial represents an even degree polynomial.
What is the End behavior of the graph?The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.
Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.
In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.
Thus, we can say that option D is correct.
B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.
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20 POINTS!!! PLEASE I NEED HELP STAT!!!
Francisco is moving and must rent a truck. There is an initial charge of $45 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C, in terms of m, representing the total cost of renting the truck if Francisco were to drive m miles.
Answer:
0 miles driven:$45, 1 miles driven:$47.5, 2 miles driven:$50, 3 miles driven:$52.5
Step-by-step explanation:
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
Price of Cap, p
(in dollars) Number of Units
in Demand, d
23 432
27 356
30 299
35 204
Which equation represents the relationship between the price of the cap and the number of units in demand?
A.
d = 850 - 19p
B.
d = 285 - 869p
C.
d = 869 - 19p
D.
d = 19 - 869p
The relationship between the price of the cap and the number of units in demand is d = 869 - 19p
What is Substitution?Substitution: A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
Price of Cap, p(in dollars) Number of Units in Demand, d
23 432
27 356
30 299
35 204
the relationship between the price of the cap and the number of units in demand
lets substitute the values in the given options ( lets use 1st result p=23 and d=432)
A.
d = 850 - 19p
432=850-19(23)
432=850-437
432≠413
B.
d = 285 - 869p
432=285-869(23)
432=285-19,987
432≠19,702
C.
d = 869 - 19p
432=869-19(23)
432=869-437
432=432
option C is correct
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A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
The relationship between the price of the cap and the number of units in demand
lets substitute the values in the given options ( lets use 1st result p=23 and d=432)
A. d = 850 - 19p
432=850-19(23)
432=850-437
432≠413
B. d = 285 - 869p
432=285-869(23)
432=285-19,987
432≠19,702
C. d = 869 - 19p
432=869-19(23)
432=869-437
432=432
James is taking out a personal loan from his local bank. if the total loan amount is $2500 at a simple interest rate of 14.99% and in the 1st 4 months he makes only interest payments, how much will he pay in those months total?
James has to pay an annual interest of 14.99% on $2500 loan.
In decimal:
14.99% = 14.99/100 = 0.1499
The interest of 1st year would be:
0.1499 * 2500 = 374.75 dollars
Monthly interest would be:
374.75/12 = $31.23
If he pays this amount each month for first 4 months, he would pay a total of:
$31.23 * 4 =
$124.92Write a recursive formula for a_na
n
term of the sequence 13, 3, -7, -17,
The recursive formula for the sequence 13, 3, -7, -17 is 3 + 10n.
How to illustrate the information?It should be noted that the nth term for an arithmetic sequence is illustrated by the formula:
= a + (n - 1)d.
where a = first term = 13
d = common difference = 3 - 13 = 10
n = number of terms
Therefore, the recursive formula will be:
a + (n - 1)d.
= 13 + (n - 1)10
= 13 + 10n - 10
= 3 + 10n
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Write the equation of the line in point slope form that passes through the point (-8,-3) and (2,2)
Answer:
i think y=1/2x+1 or y+3=1/2 times (x+8)
Step-by-step explanation:
What are the answers for both of them
y=3(x-4)^2 +7 in standard form
I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(
Answer:
B
Step-by-step explanation:
12 multiplied by 5 is 60 and 10 multiplied by 6 is 60. which is the lowest that they both will meet
I add six to eleven, and get five. Why is this correct?
Answer:
because the six is a negative number (-6)
Complete the equation to show at 4.2 ÷ 0.35 is equivalent to 420 ÷ 35. Check Picture Above (Or Below, wherever it is!)
Answer:
[tex]4.2 / 0.35 =\frac{4.2}{0.35} *\frac{100}{100}= \frac{420}{35} = 420/35[/tex]
Step-by-step explanation:
By multiplying both the numerator and the denominator of the fraction 4.2/0.35, the resulting equivalent fraction is 420/35.
two students in mrs.johnson's preschool class are stacking blocks,are 4 cm height, and maddy's blocks are 9 cm high. how tall will their stacks be when they are the same height for the first time.
36 cm tall will their stacks be when they are the same height for the first time.
Given,
Two students in Mrs. Johnson's preschool class are stacking blocks:
The height of Reece's block = 4 cm
The height of Maddy's block = 9 cm
We have to find the height of the stacks when they are same height for the first time.
Here,
We have to find the least common multiple.
Least Common Multiple (LCM):
The smallest number that is a multiple of both of two numbers is called the least common multiple.
So here,
We have to find the least common multiple of 4 and 9.
Here, the least common multiple of 4 and 9 = 36
Then,
36 cm tall will their stacks be when they are the same height for the first time.
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what is a trigonometrical complex number
A complex number z = a + bi has the trigonometric form z = r(cosθ + I sinθ ), where r = |a + bi| is z's modulus and tanθ = b.
the angle generated by the complex number on a polar graph having one real axis and one imaginary axis. This may be calculated using the right angle trigonometry for the trigonometric functions. Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
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-11+?=15
?-(-3)=5
?+(-4)=7
?+-8=-3
-2+?=1
?-12=-4
Answer:
Step-by-step explanation:
-11+?=15
?=15+11
15+11= 26
So, -11+26=15.
?-(-3)= 5
?+3=5
?=5-3
?=2
So, 2-(-3)=5.
?+(-4)=7
?-4=7
?=7+4
?=11
So, 11+(-4)=7.
?+-8=3
?=3+8
?=11
So, 11+-8=3.
-2+?=1
?=1+2
?=3
So, -2+3=1.
?-12=-4
?=-4+12
?=8
So, 8-12=-4.
help meeeeeeeeeeeeeeeeeee pleaseeee!!
Answer: The answer is y
Step-by-step explanation:
Given p(x) = -4(x-15)+2, what is the value of p(7) ?
Step-by-step explanation:
Match the following items.1.(-14) + 81 = 81 + (-14)multiplicative inverse2. • = 1additive identity3.101 + (29 + 417) = (101 + 29) + 417associative property of addition4.(24 + 15) = • 24 + • 15commutative property of addition5.-72 + 0 = -72distributive property
Given:
[tex]\begin{gathered} (1)\rightarrow(-14)+81=81+(-14) \\ \\ (2)\rightarrow\frac{13}{17}\cdot\frac{17}{13} \\ \\ (3)\rightarrow101+(29+417)=(101+29)+417 \\ \\ (4)\rightarrow\frac{1}{3}(24+15)=\frac{1}{3}\cdot24+\frac{1}{3}\cdot15 \\ \\ (5)\rightarrow-72+0=-72 \end{gathered}[/tex]Find-:
Match the item
Explanation-:
(1)
The commutative property of addition is:
So the commutative property of addition is:
[tex](-14)+81=81+(-14)[/tex](2)
The multiplicative inverse is:
So value is:
[tex]\frac{13}{17}\cdot\frac{17}{13}=1[/tex](3)
Associative property of addition
So the value is:
[tex]101+(29+417)=(101+29)+417[/tex](4)
Additive identity.
The property of additive identity is:
[tex]A+0=A[/tex]So the value is:
[tex]-72+0=-72[/tex](5)
The distribution property is:
[tex]a(b+c)=ab+ac[/tex][tex]\frac{1}{3}(24+15)=\frac{1}{3}.24+\frac{1}{2}\cdot15[/tex]4.(02.02 MC)Demarcus will be 24 years old when he graduates. If the mean brweekly wage of his career is $2456.00, what will his lifetime earrings be when he retires at the of68 (1 point),O $100,79600$1.000 76.00$261896.00$5226,192.00
His lifetime earnings when he retires at the age of 68 is $2,817,385.1728.
The total number of years Demarcus will work is 68 - 24 = 44 years.
Now, there are about 52.1429 weeks per year; therefore, the number of weeks in 44 years will be:
44 years × 52.1429 weeks/year = 2294.2876 weeks
We are also told that Demarcus gets paid once every two weeks; this means the number of payments made in 44 years will be:
2294.2876 / 2 = 1147.1438 payments
Since each payment is worth $2,456.00, the total amount earned from 1147.146 payments will be:
1147.146 payments × 2456 per payment = $2,817,385.1728
Hence, Demarcus' lifetime earnings if he retires at the age of 68 will be $2,817,385.1728.
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When a number is outside parentheses what operation does that indicate?
Answer:
When a number is outside parentheses, the operation it indicates is Multiplication
Explanation:
When a number is outside parentheses such as;
[tex]4(5+2)[/tex]The operation it indicates is Multiplication, for the example above, it means that 4 will multiply each of the numbers inside the parentheses.
[tex]4(5+2)=4\times(5+2)=4\times5+4\times2[/tex]Therefore, When a number is outside parentheses, the operation it indicates is Multiplication
the world record for most selfies taken simultaneously is 4296. this is 51 fewer than three times the world record for the most selfies taken by one person in one hour. what is the world record for the most selfies taken by one person in one hour?
The world record for most selfies taken by a person in one hour is calculated to be 1449.
The world record for the most selfies taken by one person in one hour can be determined by using an algebraic expression.
As 4296 is 51 fewer than three times the World record for the most selfies taken by one person in one hour, we can consider x to be the world record by which we get an algebraic expression as follows;
3x - 51 = 4296
Solving for x;
3x = 4296 + 51
3x = 4347
x = 4347 / 3
x = 1449
Therefore, 1449 is calculated to be the world record for most selfies by one person in one hour.
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Geometry I need help with finding x on triangles
Answer: ...
Step-by-step explanation: Find the hypotenuse x. Suppose angle A = 50°, angle B = 60°, and angle C = x are the angles of a triangle. ABC. By using the angle sum property we can find the value of x. angle A + angle B + angle C = 180 degrees. Solve for x in fractions, we simply do the cross multiplication and simplify the equation to find x.
36-(12/2)2=what i don't know the answer
The simplification of the given expression 36-(12/2)2 will be 24.
What is a simplification of an expression?Simplification involves proceeding with the pending operations in the expression. for ex; 6 + 2 is an expression whose simplified form can be obtained by doing the pending addition, that results in 8 as its simplified form. Simplification, involves making the expression simple and easy to use later.
We have been given an expression as;
36-(12/2)2
To simplify the above;
36-(12/2)2
36 - (6)2
Now multiply 6 by 2,
36 - 12
= 24
Therefore, the simplification of the given expression 36-(12/2)2 will be 24.
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Answer:
The answer is 24.
Step-by-step explanation:
(12/2)=6
36-(6)2
=36-12
=24
Work out the total amount of money tom earned on monday
The money earned by Tom in accordance with his rate is $
In mathematics, comparing two related quantities stated in different units is known as a rate.
If the denominator of the ratio is stated as a single unit of one of these quantities and it is assumed that this number may be changed systematically, the numerator of the ratio expresses the comparable rate of change in the other (dependent) variable (i.e., is an independent variable).Speed, heart rate, and flux are a few examples of rates that are frequently expressed as "per unit of time." Electric field ratios, exchange rates, and literacy rates are a few instances of ratios with a non-time denominator (in volts per meter).The rate at which he earns is $15 per hour.
He earns over time at 1 1/3 times his wage
Overtime rate = 4 / 3 × 15 = $20
He worked for 11 hours.
Total money earned = 7 hours at rate $15 per hour and 4 hours at rate $20 per hour.
Money earned = 7 × 15 + 20 × 4 = $185
Hence the money earned at that rate is $185.
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1 divide by root 9 + root 8
Let's expand the rational number with the conjugate of the expression in the denominator.
[tex]C=\sqrt{9} +\sqrt{8}[/tex][tex]\frac{1}{\sqrt{9}-\sqrt{8} }. \frac{\sqrt{9}+\sqrt{8} }{\sqrt{9}+\sqrt{8} }[/tex][tex]=3+2\sqrt{2}[/tex]Answer:
Step-by-step explanation:
root of 9 is 3
root of 8 is 2.8
the equation =-2.5
Solve
2x² + 4x + 10 = 0
Simplify answers
Answer: No Solution
Step-by-step explanation: Simply use the formula. Which then you get no solution
With indices , solve 32⅕
Answer:
Step-by-step explanation:
32=2⁵
therefore=2⁵×⅕
=2