Answer:
I got 45, but I may be wrong.
Step-by-step explanation:
When a number is even, the number must end in an even number. Here, the even numbers are 4 and 6, so the numbers we are going to create are all going to end in 4 and 6.
To answer this question, we just have to find as many possible combinations following the guidelines provided.
334
344
354
364
374
434
444
454
464
474
534
544
554
564
574
634
644
654
664
674
336
346
356
366
376
436
446
456
466
476
536
546
556
566
576
636
646
656
666
676
736
746
756
766
776
The mean number of words per minute (WPM) typed by a speed typist is 149149 with a standard deviation of 1414 WPM. What is the probability that the sample mean would be greater than 147.8147.8 WPM if 8888 speed typists are randomly selected
Answer:
The probability is [tex]P(\= X > x ) = 0.78814[/tex]
Step-by-step explanation:
From the question we are given that
The population mean is [tex]\mu = 149[/tex]
The standard deviation is [tex]\sigma = 14[/tex]
The random number [tex]x = 147.81[/tex]
The sample size is [tex]n = 88[/tex]
The probability that the sample mean would be greater than [tex]P(\= X > x ) = P( \frac{ \= x - \mu }{\sigma_{\= x} } > \frac{ x - \mu }{\sigma_{\= x} } )[/tex]
Generally the z- score of this normal distribution is mathematically represented as
[tex]Z = \frac{ \= x - \mu }{\sigma_{\= x} }[/tex]
Now
[tex]\sigma_{\= x } = \frac{\sigma }{\sqrt{n} }[/tex]
substituting values
[tex]\sigma_{\= x } = \frac{14 }{\sqrt{88} }[/tex]
[tex]\sigma_{\= x } = 1.492[/tex]
Which implies that
[tex]P(\= X > x ) = P( Z > \frac{ 147.81 - 149 }{ 1.492} )[/tex]
[tex]P(\= X > x ) = P( Z > -0.80 )[/tex]
Now from the z-table the probability is found to be
[tex]P(\= X > x ) = 0.78814[/tex]
Shane has a bag of marbles with 4 blue marbles, 3 white marbles, and 1 red marbles. Find the following probabilities of Shane drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn. (Give your answer as a fraction)
Answer: A). A Blue, then a Red.
= 4/8 * 1/7
= 1/14
B). A Red, then a White.
= 1/7 * 3/8
= 3/56
C). A Blue, then a Blue, then another Blue.
= 4/8 * 3/7 * 2/6
= 1/14
Step-by-step explanation:
had to complete the question first.
Find the following probabilities of Derek drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.
(a) A Blue, then a Red =
(b) A Red, then a White =
(c) A Blue, then a Blue, then a Blue =
given data:
blue marble = 4
white marble = 3
red marble = 1
total marble = 8
solution:
probability of drawing
A). A Blue, then a Red.
= 4/8 * 1/7
= 1/14
B). A Red, then a White.
= 1/7 * 3/8
= 3/56
C). A Blue, then a Blue, then another Blue.
= 4/8 * 3/7 * 2/6
= 1/14
celine is drake’s granddaughter. Her age is 4 years greater than 1/3 of drake’s age . if celine is 28 years old , how old is drake ?
Which equation represents this situation?
1) 4d - 1/3 = 28
2)1/3d - 4= 28
3) 1/3 + 4= 28
4) 4d + 1/3 = 28
Answer:
It should be 1/3d+4=28, but i dont see that option
Step-by-step explanation:
All the other ones are wrong. Its plus 4 because it states that its 4 years greater not lesser. Greater in the context means that its addition of 4.
idk if theres a typo or something but yeah.
1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)? 3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g? 4. If f(x) is a polynomial, is f(x^2) also a polynomial 5. Consider the polynomial function g(x) = x^4-3x^2+9 a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial
Answer:
1. a = -31/9
2. -3/4
3. Different degree polynomials
4. Yes, of a degree 2n
5. a. Even-degree variables
b. Odd- degree variables
Step-by-step explanation:
1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a?
Plugging in 3 for x:
f(3)= 3^4 - 2*3^3 + a*3^2 + 3 + 3= 81 - 54 + 6 + 9a = 33 + 9a and f(3)= 2
9a+33= 29a= -31a = -31/9------------
2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?
f(0)= -4, h(0)= 3, g(0) = ?h(x)= f(x)*g(x)g(x)= h(x)/f(x)g(0) = h(0)/f(0) = 3/-4= -3/4g(0)= -3/4------------
3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g?
A monic polynomial is a single-variable polynomial in which the leading coefficient is equal to 1.If the sum of monic polynomials f(x) + g(x) is also monic, then f(x) and g(x) are of different degree and their sum only change the one with the lower degree, leaving the higher degree variable unchanged.
------------
4. If f(x) is a polynomial, is f(x^2) also a polynomial?
If f(x) is a polynomial of degree n, then f(x^2) is a polynomial of degree 2n------------
5. Consider the polynomial function g(x) = x^4-3x^2+9
a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial?
If f(x) and f(-x) are same polynomials, then they have even-degree variables.b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial?
If f(x) and -f(-x) are the same polynomials, then they have odd-degree variables.0.3% of a country has a certain disease. The test for the disease has a sensitivity of 92% (i.e., of those we know have the disease, the test comes back positive 92% of the time.) It has a specificity of 96% (i.e., of those who do NOT have the disease, the test comes back negative 96% of the time.) Determine the ACCURACY of this test (round to 5 decimals) Remember, ACCURACY is correct values (i.e. true positives true negatives)
Answer:
0.95988 (Accuracy of the test )
Step-by-step explanation:
To determine the accuracy of this test we have to list out the given values
Prevalence rate of the disease = 0.3% = 0.003
sensitivity rate of the disease = 92% = 0.92
specificity rate for the test = 96% = 0.96
The accuracy of the test can be found using this equation
Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )
= 0.92 * 0.003 + 0.96 ( 1 - 0.003 )
= 0.00276 + 0.95712
= 0.95988
3) and
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, 3)?
O y-3 = -2(x+4)
Oy-3=-{(x + 4)
y-3 = {(x + 4)
O y-3 = 2(x + 4)
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The given line passes through the points (-4, -3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?
a) y - 3 = -2(x + 4)
b) y - 3= - (x + 4)
c) y - 3 = (x + 4)
d) y - 3 = 2(x + 4)
Answer:
The equation of the line that is perpendicular to the given line and passes through the point (-4, 3) is
a) y - 3 = -2(x +4)
Step-by-step explanation:
First of all, we will find the slope of the given line.
We are given that the line passes through the points (-4, -3) and (4, 1)
[tex](x_1, y_1) = (-4,-3) \\\\(x_2, y_2) = (4,1) \\\\[/tex]
The slope of the equation is given by
[tex]$ m_1 = \frac{y_2 - y_1 }{x_2 - x_1} $[/tex]
[tex]m_1 = \frac{1 -(-3) }{4 -(-4)} \\\\m_1 = \frac{1 + 3 }{4 + 4} \\\\m_1 = \frac{4 }{8} \\\\m_1 = \frac{1 }{2} \\\\[/tex]
Recall that the slopes of two perpendicular lines are negative reciprocals of each other.
[tex]$ m_2 = - \frac{1}{m_1} $[/tex]
So the slope of the other line is
[tex]m_2 = - 2[/tex]
Now we can find the equation of the line that is perpendicular to the given line and passes through the point (-4, 3)
The point-slope form is given by,
[tex]y - y_1 = m(x -x_1)[/tex]
Substitute the value of slope and the given point
[tex]y - 3 = -2(x -(-4) \\\\y - 3 = -2(x +4)[/tex]
Therefore, the correct option is (a)
y - 3 = -2(x + 4)
The equation of the line in point-slope form is y - 3 = -2(x + 4)
What is a linear equation?
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the y intercept.
The line passes through the point (-4, -3) and (4, 1). Hence:
Slope = (1 - (-3)) / (4 - (-4)) = 1/2
The slope of the line perpendicular to this line is -2 (-2 * 1/2 = -1).
The line passes through (-4, 3), hence:
y - 3 = -2(x - (-4))
y - 3 = -2(x + 4)
The equation of the line in point-slope form is y - 3 = -2(x + 4)
Find out more on linear equation at: https://brainly.com/question/14323743
What is the value of x?
Answer:
54
Step-by-step explanation:
x is half the difference of the two arcs:
x = (136 -28)/2 = 54
The value of x is 54.
Which represents the solution of the graphed system of equations, y=x^2-2x and y=-2x-1
Answer:
x = √(-1) = i
Since the value of √(-1) is not real.
The system has no real solution.
Step-by-step explanation:
The solution to the system of equations is at the point where they intercept each other.
y1 = y2
For the given equation;
y=x^2-2x and y=-2x-1
To get the where they intercept, we will equal both equations;
y=x^2-2x = -2x-1
x^2 - 2x = -2x - 1
x^2 - 2x + 2x + 1 =0
x^2 +1 = 0
x^2 = -1
x = √(-1) = i
Since the value of √(-1) is not real.
The system has no real solution.
nineteen multiplied by twenty five
Answer:
19*25= 475
Step-by-step explanation:
You can either use a calculator or use the standard operation
Veda solves the following system of linear equations by elimination. What is the value of x in the solution of the system
of equations?
6+4x-2y=0
-3-7y=10x
Answer:
work shown and pictured
Answer:
x= -1 y = 1
Step-by-step explanation:
Is (-1, -1) a solution of y = 3x + 2?
Answer:
Yes
Step-by-step explanation:
Well the integer (-1, -1) means x = -1 and y = -1
So we can plug this into the equation
-1 = 3(-1) + 2
-1 = -3 + 2
-1 = -1
So yes (-1, -1) is a solution.
Aracely can spend up to a total of $20 on streamers
and balloons for a party. Streamers cost $1.49 per
pack, and balloons cost $4.39 per pack. Which of
the following inequalities represents this situation,
where is the number of packs of streamers Aracely
can buy, and b is the number of pack of balloons
Aracely can buy? (Assume there is no sales tax.)
Answer:
[tex]1.49S + 4.39B \leq 20[/tex]
Step-by-step explanation:
The options are not given; However, the question can be solved without the list of options
Given
Let S represent packs of Streamers
Let B represent packs of Balloons
Required
Represent this with an inequality
From the question, we understand that;
[tex]1S\ =\ \$1.49\ and\ \ 1B\ = \ \$4.39[/tex]
Also, it's stated that Aracely can't spend more than $20;
This mean that the maximum Aracely can spend is $20 and it can be represented with the inequality sign [tex]\leq 20[/tex]
Bringing them together;
[tex]1.49S + 4.39B \leq 20[/tex]
Write the expression as the logarithm of a single number or expression.
4 In 2+3 In 5
Answer:
ln [2^4 * 5^3]
Step-by-step explanation:
Rewrite 4 ln 2 as ln 2^4 and 3 ln 5 as ln 5^3.
Then 4 In 2+3 In 5 = ln 2^4 + ln 5^3, which in turn becomes
ln [2^4 * 5^3]
A group of 10 students participate in chess club, karate club, or neither.
Answer:
P(A︱B) =0.50
Step-by-step explanation:
That's the answer
Select the correct answer. Consider the function f(x) = 3x and the function g, which is shown below. How will the graph of g differ from the graph of f? The graph of g is the graph of f shifted to the right by 3 units. The graph of g is the graph of f shifted down by 3 units. The graph of g is the graph of f shifted to the left by 3 units. The graph of g is the graph of f shifted up by 3 units.
Answer:
The graph of g is the graph of f shifted up by 3 units.
Step-by-step explanation:
Consider the graph of a function r with real numbers k and h.
Transformation Effect
r(x) + k shifts the graph up k units
r(x) - k shifts the graph down k units
r(x + h) shifts the graph to the left h units
r(x - h) shifts the graph to the right h units
It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.
Drag each tile to the correct box.
Match each equation with its solution.
x = -0.4
x= 10
x = 2
x = -10
Answer:
1). x = 2
2). x = -10
3). x = [tex]-\frac{2}{5}[/tex]
4). x = 10
Step-by-step explanation:
1). x - 6 = -4
(x - 6) + 6 = -4 + 6 [By adding 6 to both the sides of the equation]
x = 2
2). x + 3 = -7
(x + 3) - 3 = -7 - 3 [By subtracting 3 to both the sides of the equation]
x = -10
3). 5x = -2
[tex]\frac{5x}{5}=\frac{-2}{5}[/tex] [By dividing with 5 from both the sides of the equation]
x = [tex]-\frac{2}{5}[/tex]
4). 0.5x = 5
[tex]\frac{0.5x}{0.5}=\frac{5}{0.5}[/tex] [By dividing with 0.5 from both the sides of the equation]
x = 10
Use the drop-downs to answer the questions about this geometric sequence. –243, 81, –27, 9 … What is the common ratio? What is the fifth term in the sequence? What is the sixth term in the sequence?
Answer:
a= -243
r=81/-243, r= -0.33(common ratio)
to find the 5th term; T5= -243×(0.33)^(5-1)
T5= -243 × (0.33)^4
T5= -3
to find the 6th term; T6= -243 ×(0.33)^(6-1)
T6= -243 ×(-0.33)^5
T6= 1
Answer:
Answer above is correct
Step-by-step explanation:
–243, 81, –27, 9 …
What is the common ratio?
–1/3
What is the fifth term in the sequence?
–3
What is the sixth term in the sequence?
1
Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 7.
Answer:
The height of the right circular cylinder is 14/√3 and its radius is 7√6/3.
Step-by-step explanation:
Check the attachment for the diagram.
The volume of a right circular cylinder = πr²h
r is the radius of the cylinder
h is the height of the cylinder
V = πr²h... 1
From the diagram, we can use Pythagoras theorem on the right angled triangle to get r². From the triangle P² = r²+(h/2)²
P is the radius of the sphere.
P = 7
7² = r²+(h/2)²
r² = 49-(h/2)²... 2
Substituting equation 2 into 1:
V = π(49-(h/2)²)h
V = π(49h-h³/4)...3
To get the height h of the cylinder, we need to differentiate the volume of the cylinder with respect to h and equate to zero. i.e dV/dh = 0 since it's the maximum volume.
dV/dh = π(49-3h²/4)
0 = π(49-3h²/4)
Dividing both sides by π
0/π = π(49-3h²/4)/π
49-3h²/4 = 0
49 = 3h²/4
3h² = 49×4
3h² = 196
h² = 196/3
h = √196/√3
h = 14/√3
To get the radius of the cylinder, we will substitute h = 14/√3 into equation 2
r² = 49-(h/2)²
r² = 49-{(14/√3)/2}²
r² = 49-{14/2√3}²
r² = 49-(7/√3)²
r² = 49 - 49/3
r² = (147-49)/3
r² = 98/3
r = √98/√3
r = √49× √2/√3
r = 7√2/√3
r = 7√2/√3 × √3/√3
r = 7√6/3
The height of the right circular cylinders is 14/√3 and its radius is 7√6/3.
Let x stand for the length of an individual screw. 100 screws were sampled at a time. The population mean is 2.5 inches and the population standard deviation is 0.2 inches.
What is the mean of the sampling distribution of sample means?
Answer:
The mean is defining the average length(2.5in) of the 100 measured screws.
Step-by-step explanation:
The mean is usually calculated in order to determine the average of a set of values.
Find m2WXY
59
X
D
24°
A 250
B. 26
C. 81
D. 839
Answer: d. 83
Step-by-step explanation: 59+ 24 = 83
Answer:
D. 83 degrees
Step-by-step explanation:
Angle WXY is made up of two angles, angle WXD and angle YXD.
Therefore, angle WXY will be equal to the sum of angle WXD and YXD.
So, we can add angles WXD and YXD together to find out what the measure of angle WXY is.
<WXY= <WXD + <YXD
We know that angle WXD is 24 degrees and angle YXD is 59 degrees.
<WXD= 24
<YXD= 59
<WXY= 24+59
Add 24 and 59
<WXY=83
The measure of angle WXY is 83 degrees, so choice D is correct.
(6/7)^2 times (1/2)^2
Answer:
9/49 or 0.184
Answer:
9/49
Step-by-step explanation:
(6/7)² × (1/2)²
Distribute the square to the fractions.
6²/7² × 1²/2²
36/49 × 1/4
Multiply.
36/196
Simplify.
9/49
Complete the table.PLSSS HELP ILL GIVE BRAINLIEST.PLS PLS PLS PLS
Answer:
0, 22, 44, 66
Step-by-step explanation:
Given the equation for the model, [tex] d = 11t [/tex] , you can complete the table above by simply plugging in each value of "t" has given in the table to solve for "d".
*When t (seconds) = 0, distance (feet) would be:
[tex] d = 11(0) [/tex]
[tex] d = 0 [/tex]
*When t (seconds) = 2, distance (feet) would be:
[tex] d = 11(2) [/tex]
[tex] d = 22 [/tex]
*When t (seconds) = 4, distance (feet) would be:
[tex] d = 11(4) [/tex]
[tex] d = 44 [/tex]
*When t (seconds) = 6, distance (feet) would be:
[tex] d = 11(6) [/tex]
[tex] d = 66 [/tex]
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The scatter plot shows the data she gathered and the line of best fit. The equation of the line of best fit is y = 0.677x + 1.77. Based on the line of best fit, approximately how many students are predicted to be in the marching band at a school with 35 students in the concert band?
Answer:
25 students
Step-by-step explanation:
Given the equation of the best line of fit, [tex] y = 0.677x + 1.77 [/tex] , the number of students predicted to be in the matching band, if we have 35 students in the concert band, can be approximated by plugging in 35 as "x" in the equation of the best line of fit, and solve for "y". y would give us the predicted number of students to expect in the marching band.
[tex] y = 0.677(35) + 1.77 [/tex]
[tex] y = 23.695 + 1.77 [/tex]
[tex] y = 25.465 [/tex]
The approximated number of to be in the marching band, with 35 students in the concert band is roughly 25 students.
Answer:25 students
Step-by-step explanation:
Leslie buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches. What is the diameter of the pizza to the nearest inch?
Answer:
i believe it's 4.5
Step-by-step explanation:
Answer:
14 in. hope this helps!!:)
Step-by-step explanation:
please answer me question 3 solving part
Answer:
1. D
2. B
3. A
Step-by-step explanation:
Question 1:
The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.
Question 2:
Given that <KLM = x°
<KML = 50°
<JKL = (2x - 15)°
According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.
2x - 15 = x + 50
Solve for x
2x - x = 15 + 50
x = 65
Therefore, <KLM = 65°
QUESTION 3:
<JKL = 2x - 15
Plug in the value of x
<JKL = 2(65) - 15
= 130 - 15
<JKL = 115°
Two similar triangles have perimeters of 45 cm and 75 cm respectively. What scale factor would relate these two triangles?
Answer:
1 2/3
Step-by-step explanation:
Well we divide 75 by 45 which is 1.6 repeating and that as a fraction is 1 2/3.
Thus,
the scale factor that relates the 2 triangles is 1 2/3.
Hope this helps :)
Find the volume o the sphere.
Answer:
The volume of sphere is 267.95 units³.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ where r represents radius. Then, you have to substitute the values into the formula :
[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
[tex]let \: r = 4[/tex]
[tex]v = \frac{4}{3} \times \pi \times {4}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times 64[/tex]
[tex]v = \frac{256}{3} \times 3.14[/tex]
[tex]v = 267.95 \: {units}^{ 3} [/tex]
determine both the lower and upper limits of a 90% z-confidence interval for µ , the mean score for all students in the school district who are enrolled in gifted and talented programs.
Answer:
CI = ( μ - 1,64 * σ /√n ; μ + 1,64 * σ /√n )
Step-by-step explanation:
We assume Normal Distribution
For Confidence Interval, CI = 90 % and α = 10 %
α = 0,1 and α/2 = 0,05
So we will look for z score reciprocate to these values, at the two tails of the bell
z(α/2) = 1,64 at th right tail and -1,64 at the left
CI = ( μ ± 1,64 * σ /√n )
CI = ( μ - 1,64 * σ /√n ; μ + 1,64 * σ /√n )
Write these numbers in standard form 906000000
Answer:
9.06×10 to the power of 8(8 is superscript above 10)
Answer:
9.06 x 10^8
Step-by-step explanation:
906000000 = 9.06 x 10^8
8 decimal places in
A formal hypothesis test is to be conducted using the claim that the mean AC thermostat setting in restaurants is equal to 74degrees°F. What is the null hypothesis and how is it denoted?
Answer:
[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]
Step-by-step explanation:
A null hypothesis refers to the hypothesis in which there is no important difference taken place and it is used in statistics and it also does not have any relation between the two measured events or variables or group association
It can be denoted by
[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]
Therefore the above null hypothesis is the correct answer