The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.370
How to determine the probability?The given parameters are:
Sample size, n = 25Probability of success, p = 0.65Number of success, x ≤ 15The probability is represented using the following binomial formula
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]
Using the above formula, we have:
[tex]P(x \le 15) = 0.370[/tex]
Hence, the probability is 0.370
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Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply. 0 = 3x2 2x – 2 0 = –2 – 3x2 3 0 = –3x 3x2 – 2 0 = 3x2 x 2 0 = –1x – 2 3x2
The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.
The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.
The first equation given in the problem is,
[tex]0 = 3x^2 +2x - 2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.
The second equation given in the problem is,
[tex]0 = -2 - 3x^2 +3[/tex]
Rearrange the equation as,
[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]
In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.
The third equation given in the problem is,
[tex]0 = 3x^2 +x +2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.
The fourth equation given in the problem is,
[tex]0 = -1x - 2 +3x^2[/tex]
Rearrange the equation as,
[tex]0=3x^2-1x-2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.
Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
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Compare the process of solving |x – 1| 1 < 15 to that of solving |x – 1| 1 > 15.
The final answer of the solution is x∈ (-13,1) ∪ [1, 15 ] or, x∈(-13, 15] and x∈ (-∞ , 1) ∪ [1, ∞) or, x∈ (-∞, ∞) or x∈ R.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
For |x - 1 | + 1 < 15 , we should first break the modulus function .
Two cases are possible for this inequality ,
case 1 - when x ≥ 1
x - 1 + 1 < 15 ⇒ x < 15
putting the number line both x ≥ 1 and x≤ 15
Then, x∈ [1, 15)
case 2 - when x < 1
-x + 1 + 1 < 15
⇒ -x + 2 < 15
⇒ -x < 13 ⇒ x > -13
putting the number line both x > -13 and x < 1
then, x∈ (-13, 1)
now, answer is x∈ (-13,1) ∪ [1, 15 ] or, x∈(-13, 15]
Again, for |x - 1| + 1 > 15
Similarly z there are two cases possible for this
case 1 :- when x ≥ 1
x - 1 + 1 > 15 ⇒ x > 15
Putting the number line both x ≥ 1 and x > 15
then, x ∈ [1, ∞)
case 2 - when x < 1
-x + 1 + 1 > 15 ⇒ x < -13
putting the number line both x < 1 and x < -13
Then, x∈ (-∞, 1)
hence, final answer is x∈ (-∞ , 1) ∪ [1, ∞) or, x∈ (-∞, ∞) or x∈ R
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What’s The Answer Of This? NO BOTS
Answer:
B is your answer: Angle pair "MTS" should be 107 and "STN" should be 73
Step-by-step explanation:
You need to do 180-73 because "s" is unknown.
That should be 107 degrees.
Angle pair "MTS" should be 107 and "STN" should be 73
This is due to alternate interior angles, same side angles, and congruency properties.
What is the equation in slope-intercept form of the line that passes through the point (2,-2)
and is perpendicular to the line represented by y = x + 2?
2
=X+2?
5
A y = 3x - 7
5
B
y = 2x + 7
+ 7
c y=-zx-3
5
C -2
X
5
D y=-3x + 3
The equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3
Equation of a lie in slope-interceptThe equation of a line in slope intercept form is expressed as:
y = mx + c
m is the slope
c is the intercept
Given the equation of a line y = x + 2, the slope of the line perpendicular is -1/2. If this line pass through the point (2, -2), the required equation will be
y - (-2) = -1/2(x+2)
2(y+2) = -(x+2)
2y + 4 = -x - 2
2y = -x - 6
y = -1/2 - 3
Hence the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3
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Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.
Could ΔABC be congruent to ΔADC by SSS? Explain.
Yes, but only if AB ≅ DC.
Yes, but only if BC ≅ DC.
No, because AB is not congruent to AC.
No, because AB ≅ DA.
Answer:
d
Step-by-step explanation:
god a 100 on edg
ΔABC cannot be congruent to ΔADC by SSS?l because D. No, because AB ≅ DA.
How to depict the triangle?It should be noted that when the three corresponding sides of the figures have the same length, it can be concluded that the triangles are congruent by SSS.
In this case, ΔABC cannot be congruent to ΔADC by SSS?l because AB is not equal to DA.
Therefore, the correct option is D.
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HELP HEELP
The diagram shows a cone of height 8 units and base radius 6 units.
What is the surface area of its side?
Answer:
Option A :- if finding lateral surface area
Other information
radius r = 6 m
height h = 8 m
slant height s = 10 m
volume V = 301.592895 m3
lateral surface area L = 188.495559 m2
base surface area B = 113.097336 m2
total surface area A = 301.592895 m2
Step-by-step explanation:
Using the formulas
A=πrl+πr²
l=√r²+h²
Solving forA
A=πr(r+√h²+r²)=π · 6 · (6+√8²+6²)≈301.59289
Lamar and Mimi are in the same math class. The table shows their scores on 6 math tests. Lamar Mimi 93 90 97 93 96 90 95 91 94 90 98 100 The best measure of center in this scenario is the , and its values for Lamar’s and Mimi’s data are and , respectively. When comparing the measures of center, we can conclude that generally Lamar’s scores are Mimi’s.
The best measure of centre is the mean , don't take median as we need average of marks here.
Lamar- 93,90,97,93,96,90Mimi:-95,91,94,90,98,100Mean of Lamar
93+90+97+93+96+90/6559/693.16%Mean of Mimi
95+91+94+90+98+100568/694.66%Mimi has been better
Similar Shapes and Scale Drawings
Practice and Problem Solving: C
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as startfraction 1 over 5 c 3 endfraction. the probability that mariah will not choose all mysteries can be expressed as 1 − startfraction 5 c 3 over 20 c 3 endfraction.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The complement of an event is the remaining possibilities.
Our event is Mariah choosing 3 mysteries.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
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Answer:
Options:
A- There are 20C3 possible ways to choose three books to read.
B- There are 5C3 possible ways to choose three mysteries to read.
E- The probability that Mariah will not choose all mysteries can be expressed as 1 − StartFraction 5 C 3 Over 20 C 3 EndFraction.
Step-by-step explanation:
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α.
n = 40, α = 0.01
r = 0.402
r = ±0.312
r = 0.43
r = ±0.402
Answer:
r= 0.402
Step-by-step explanation:
can you please hel me it do tonight thank you.
The inequality in both inequality expressions is the less than or equal to sign
The correct values of the inequality [tex]-1 \le \frac x2[/tex] are x values that are at least -2.The correct values of the inequality [tex]1 \le \frac {-x}2[/tex] are x values that are at most -2.How to complete the tables?Inequality 1
The inequality is given as:
[tex]-1 \le \frac x2[/tex]
Multiply both sides by 2
[tex]-2 \le x[/tex]
Rewrite as:
[tex]x \ge - 2[/tex]
The above means that the correct values of x are at least -2.
See attachment for the complete table is as follows:
Inequality 2
The inequality is given as:
[tex]1 \le \frac {-x}2[/tex]
Multiply both sides by 2
[tex]2 \le -x[/tex]
Rewrite as:
[tex]-x \ge 2[/tex]
Multiply both sides by -1
[tex]x \le -2[/tex]
The above means that the correct values of x are at most -2.
See attachment for the complete table is as follows:
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Between which two consecutive numbers does √48 fall on the number line
Answer:
6 and 7
Step-by-step explanation:
Answer: a) 6 and 7
Step-by-step explanation:
The square root of 48 is 6.928… so it’s between those two numbers
What is a scenario for y= 4x+2
Answer:
a club has 2 dollar down payment and 4 $ per week how much money is owed after 2 weeks
Step-by-step explanation:
Enter and solve an equation to find the complement of an angle that measures 38º.
Use x as your variable.
An equation is
The measure of x is
Answer:
52°
Step-by-step explanation:
The sum of an angle and its complement is 90°.
__
The sum of 38° and its complement, x, is 90°:
38 +x = 90 . . . . . an equation to find the complement of 38°
x = 90 -38 . . . . subtract 38 from both sides
x = 52 . . . . degrees
The measure of x is 52°.
3. Over what interval is the function decreasing?
The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Answer:
x∈(-∞; 0).
Step-by-step explanation:
1) the given function is a parabola with its vertex in (0;0). Then
2) the increasing interval is (0:+∝), decreasing interval is (-∝;0).
im really bad at math I need help
option 3
center (-1,-5)
radious √41
hope this helped!
Year Population
2011 - 118,000
2017 - 138,000
a. To the nearest hundredth
of a percent, what is the
percent of change from
2011 to 2017?
The percent of change is about a
___% increase.
Answer:
16% or 16.9492% I'm going to be honest I'm not 100% sure though
The average of three numbers is 15. Two numbers are 7 and 10. What is the third number?
The Answer is 28
Step-by-step explanation:
Is my answer correct?
Answer:
[tex]\displaystyle (x,y) \longrightarrow (x+3, y+1)[/tex]
Step-by-step explanation:
We want to write a rule for the transformation shown.
We can see that ΔA'B'C' is the figure ΔABC shifted rightwards 3 units and upwards 1 unit.
In other words, all x-coordinates of ABC is increased by 3, and all y-coordiantes of ABC is increased by 1.
Therefore, the rule for the x-coordinate is:
[tex]\displaystyle x \longrightarrow x + 3[/tex]
And the rule for the y-coordinate is:
[tex]\displaystyle y \longrightarrow y + 1[/tex]
In conclusion, we have that:
[tex]\displaystyle (x,y) \longrightarrow (x+3, y+1)[/tex]
Which rules of exponents will be used to evaluate this expression? select three options. startfraction left-brace (negative 8) superscript 4 baseline right-brace superscript negative 5 baseline over (negative 8) superscript 6 baseline endfraction fractional exponent quotient of powers power of a power power of a product negative exponent zero exponent
The 3 rules that we need to use to simplify the expression are:
Exponent of an exponent rule.Quotient of powers.Negative exponent.Which rule of exponents must we use?
As I understand, the expression that we have is:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6}[/tex]
The first rule we need to use, is the exponent of an exponent rule, it says that:
[tex](a^n)^m = a^{n*m}[/tex]
If we apply that to the denominator, we get:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6}[/tex]
Now we need to use the quotient of powers:
[tex]\frac{a^m}{a^n} = a^{m - n}[/tex]
Using that we get:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6} = (-8)^{-20 - 6} = (-8)^{-26}[/tex]
Finally, we use the rule for a negative exponent:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
So we get the simplified form:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6} = (-8)^{-26} = \frac{1}{(-8)^{26}}[/tex]
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Answer:
B, C, and E
Step-by-step explanation:
help please ! brainliest to first correct answer
What is the solution for x2 –18x < –77?
x < –11 or x > 7
x < –7 or x > 11
–11 < x < 7
7 < x < 11
Question 2(Multiple Choice Worth 2 points)
(07.01 LC)
A two-variable inequality is shown in the graph.
upward opening parabola which is dashed with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curve
Which point is not included in the solution set for the inequality?
(–1, 3)
(0, 4)
(1, 5)
(2, 4)
Question 3(Multiple Choice Worth 2 points)
(07.01 MC)
Which graph represents the solution of y ≤ x2 + 2?
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading outside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading outside parabola
Question 4(Multiple Choice Worth 2 points)
(07.01 MC)
What is the range of the function f(x) = |x| + 5?
R: {f(x) ∈ ℝ | f(x) < 5}
R: {f(x) ∈ ℝ | f(x) ≥ 5}
R: {f(x) ∈ ℝ | f(x) > 5}
R: {f(x) ∈ ℝ | f(x) ≤ 5}
Question 5(Multiple Choice Worth 2 points)
(07.01 MC)
What is the solution to the inequality |2x + 3| < 7?
4 < x < 10
–5 < x < 2
x < 4 or x > 10
x < –5 or x > 2
The questions are illustrations of inequalities
The solution to the inequality is 7 < x < 11The range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}The solution to the inequality is x < –5 or x > 2The solution to the inequalityThe inequality is given as:
x² - 18x < -77
Add 77 to both sides
x² - 18x + 77 < 0
Expand the inequality
x² - 7x - 11x + 77 < 0
Factorize the inequality
x(x - 7) - 11(x - 7) < 0
Factor out x - 7
(x- 7)(x - 11) < 0
Solve for x
x < 7 or x < 11
This means that the solution to the inequality is 7 < x < 11
The graph that represents the solutionThe inequality expression is given as:
y ≤ x² + 2
See attachment for the graph of the inequality
The range of the functionThe function is given as:
f(x) = |x| + 5
The smallest value of |x| is 0.
So, we have:
f(x) > 0 + 5
Evaluate
f(x) > 5
Hence, the range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}
The solution to the inequalityThe inequality expression is given as:
|2x + 3| < 7
Remove the absolute expression
2x + 3 < 7 or 2x + 3 < -7
Subtract 3 from both sides
2x < 4 or 2x < -10
Divide both sides by 2
x < 2 or x < -5
Hence, the solution to the inequality is x < –5 or x > 2
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Write the domain and range of the graph below…
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's see what's the domain and range for the given function ~
[tex]\qquad \tt \dashrightarrow \:domain \in [ -5 , 4 ] [/tex]
or
[tex]\qquad \tt \dashrightarrow \: - 5 \leqslant x \leqslant 4[/tex]
Because domain = all values of x between its maximum (4) and minimum (-5) value [ including them ]
[tex]\qquad \tt \dashrightarrow \:range \in[ -4 , 9 ][/tex]
or
[tex]\qquad \tt \dashrightarrow \: - 4 \leqslant y \leqslant 9[/tex]
Because range = all values of y between its maximum (9) and minimum (-4) value [ including them ]
A company sells sports drinks for $2.00 each. The company pays $0.75 for each drink and $10 per week
for a permit to sell the drinks. What is the least number of drinks the company must sell each week to make
a profit?
Solve the equation. –9x 1 = –x 17 x = –8 x = –2 x = 2 x = 8
The value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
What is the solution of equation?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
The equation given in the problem is,
[tex]-9x +1 = -x +17\\[/tex]
To solve this equation, take the terms of variable x left side of the equation and constant term other side,
[tex]-9x +x = 17-1\\-8x=16[/tex]
Divide both side of the equation with number 8 as,
[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]
Hence, the value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
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Answer: The Answer Is; B) x = –2
Step-by-step explanation: Correct Answer On Edge2020.
(And the correct way to write the equation is; –9x + 1 = –x + 17 , other wise others wouldn't know if it was " +'s " OR " -'s " ..)
If PR = 20. then what is PX=
Answer:
PX = 10
Step-by-step explanation:
PR = 20
PX = PR/2 (diagonals of parallelogram bisect eachother)
or, PX = 20/2
so, PX = 10
Find the volume of the rectangular prism.
Answer:
8 x 8 x 8 = 512
Step-by-step explanation:
Hope this helps! Have a great day :)
Answer:
512
Step-by-step explanation:
LxWxH
8x8x8=512
What is the value of loge 36?
O
-6
-2
2
6
Answer:
B) -2
Step-by-step explanation:
[tex]log_{6} \frac{1}{36}[/tex] ORIGINAL
[tex]log_{6} 6^{-2}[/tex] REWRITE 1/36
-2 LOG RULE - 6's CANCEL
Hope this helsp!
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Answer:
Card 5: 49.98 Card 6: 153.86 sq. ft
Step-by-step explanation:
Card 5: Find the circumference, 28(3.14)=87.92. Then divide by 4 cause the circle is spilt in fourths. 87.92/4=21.98. Then add 28 for the sides. 21.98+28=49.98
Card 6: Find the area, 14^2(3.14)= 615.44. Then divide by 4 since the circle is cut into fourths. 615.44/4=153.86.
20 POINTS!!!! ill mark brainliest! The hypotenuse of the triangle measures 18, what is the radius of circle A? Is the radius the same all around?
Answer:
The radius is 3 and it is the same all around
Step-by-step explanation:
Since The hypotenuse equals the two other sides squared, let's find out what those are.
[tex]\sqrt{9} + \sqrt{9} = \sqrt{18}[/tex]
Now, let's find the square root of those 9s.
[tex]\sqrt{9} = 3[/tex]
Those other sides we talked about (more specifically the base of the triangle) are the radius of the circle because of how they extend to the exterior of the circle, which means since their length is 3, the radius is also 3.
The radius is always constant so it is supposed to be the same all around.
Annabeth logged onto her computer for school at 1:09 pm she paused for a snack break for 30 minuted then started again and then she logged off at 3:47 pm. How long was Annabeth on the computer for?
Starting time:-
1:09PM=13:09+0:30=13:39Now
Ending time:-
3:47PM=15:47PMTotal active time:-
15:47-13:392:08hoursOr
2hours 8minAnswer:
2 hours 8 minutes
Step-by-step explanation:
Let the total amount of time of Annabeth's being on the computer be x hours
since she paused using computer for a snack break for 30 minuted, our x turns out to be
[tex]x+0:30[/tex]
The initial time is 1:09 pmThe final time is 3:47 pmThus our equation would like
[tex]1:09+x+0:30=3:47[/tex]solving the equation yields:
[tex]1:09+x+0:30=3:47\\\implies 1:39+x=3:47\\\implies x=3:47-1:39\implies \boxed{x=2:08}\rm hours [/tex]
hence,
Annabeth was on her computer for 2 hours 8 minutes
Note:
1 Hour=60 minutes