Answer: B) 1/13
Step-by-step explanation:
There are 52 cards. So, there are 52/4 = 13 cards of each amount of hearts, diamonds, clubs and spades. In this case, we're looking for the probability of picking a club. Since there are 13 club cards and we want to know the probability of picking ONE, our answer is b) 1/13.
Considering the definition of probability, the correct answer is option d): if one card is picked at random from the deck, the probability that it is a club is 1/4.
Definition of probabilityThe higher or lower possibility that a particular event will occur is known as the probability. This is, the probability establishes a relationship between quantity of favorable events and the total quantity of possible events.
The ratio of favorable situations (the number of cases in which event A may or may not occur) to all possible cases is used to calculate the the probability of any event A. This is called Laplace's Law:
probability= number of favorable cases÷ total number of possible cases
Probability that the picked card is a clubIn this case, you know:
Total number of cards = 52 (number of possible cases)The deck of cards contains an equal amount of hearts, diamonds, clubs, and spades.Total number of cards that are clubs= 52÷4= 13 (number of favorable cases)Replacing in the definition of probability:
probability= 13÷ 52
Solving:
porbability= 1/4
Finally, if one card is picked at random from the deck, the probability that it is a club is 1/4.
Learn more about probability:
brainly.com/question/3283947
#SPJ2
[tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex]
The solution to the expression [tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex] is [tex]\frac{216x^6 - 108x^4 + 18x^2 - 1}{27x^3}[/tex]
How to solve the expression?The expression is given as:
[tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex]
Take the LCM of the expression
[tex]\frac{8x^3 * 27x^3 - 4x * 27x^3 + 2 * 9x^2 - 1}{27x^3}[/tex]
Evaluate the products
[tex]\frac{216x^6 - 108x^4 + 18x^2 - 1}{27x^3}[/tex]
Hence, the solution to the expression [tex]8x^3-4x+\frac{2}{3x}-\frac{1}{27x^3}[/tex] is [tex]\frac{216x^6 - 108x^4 + 18x^2 - 1}{27x^3}[/tex]
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
calculate the volume of the composite shape
please please help giving brainliest!!
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
There are two hemispheres in there with radius 3 cm, so we can consider it as a whole one. and the other shape in between is Cylinder with radius 3 cm and height 4 cm.
Volume of whole ahape = volume of Cylinder + volume of sphere ~
Volume of sphere :
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{3} \pi {r}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{3} \sdot3.14 \sdot {(3)}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: (4 )\sdot(3.14) \sdot(9)[/tex]
[tex]\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]
Volume of Cylinder :
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} h[/tex]
[tex]\qquad \sf \dashrightarrow \: 3.14 \cdot(3) {}^{2} \sdot4[/tex]
[tex]\qquad \sf \dashrightarrow \: 3.14 \sdot(9) \sdot(4)[/tex]
[tex]\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]
Volume of whole shape :
[tex]\qquad \sf \dashrightarrow \: 113.04 + 113.04 = 226.08 \: \: cm {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 226.08 \: \: cm {}^{3}[/tex]
You’re taking a 33 question multiple choice test. Each question has 4 choices. Clueless on 1 question, you decide to guess. What’s the chance you’ll get it right?
Chemotherapy in adult highgrade glioma: a systematic review and metaanalysis of individual patient data from 12 randomized trials
Systemic chemotherapy's impact on survival and recurrence in people with high-grade glioma has not been conclusively studied.
What is Systemic chemotherapy?Patients undergoing systemic chemotherapy can get their chemotherapy drugs intravenously or orally. The medication may be injected into the body intravenously, or through an IV, or intramuscular, into a muscle (IM).
Some Key features of systemic chemotherapy are-
Background: In order to evaluate the effects of such treatment on survival and recurrence, we conducted a systematic review and meta-analysis.Methods: From 12 randomised controlled studies, information on 3004 patients was incorporated (11 published and one unpublished).Findings: Overall, the findings indicated a significant survival extension associated with chemotherapy, with a hazard ratio of 0.85 (95 percent confidence interval [CI] 0.78–0.91, p0.0001) or a relative reduction in mortality risk of 15%. There was no proof that a patient's age, gender, histology, performance status, or degree of resection affected how chemotherapy worked in any particular way.Interpretation: Further research into pharmacological treatment for malignant tumors is encouraged by this modest but noticeable improvement in survival from chemotherapy.To know more about Chemotherapy, here
https://brainly.com/question/1033035
#SPJ4
Describe the similarities and differences between solving an absolute value equation and solving an absolute value inequality.
Similarities and differences between solving an absolute value equation and solving an absolute value inequality are shown below.
Similarities and differences between solving an absolute value equation and solving an absolute value inequality:
1) The absolute value equation of a number is simply the number's distance from zero.
As a result, absolute values are always positive. This is due to the fact that they always employ the positive numbers contained within the absolute value sign. As a result, we can claim that they have a range that includes all positive values.Linear equations, on the other hand, specify values that can be negative, positive, or even zero. As a result, linear equations define all values.Another distinction is that the graph of an absolute value function is V-shaped, whereas the graph of a linear function is straight.2) Absolute value inequalities and linear inequalities share the fact that they both have two variables and so require a second equation to obtain the variables.
Therefore, the similarities and differences between solving an absolute value equation and solving an absolute value inequality are shown.
Know more about the absolute value equation here:
https://brainly.com/question/2166748
#SPJ4
Which answer represents the following conditional statement in shorthand?
if megan is swimming, then it is warm outside.
The expression which represents the given conditional statement in shorthand is: S → W.
What is a conditional statement?A conditional statement can be defined as a statement that can be written to contain both a hypothesis and conclusion. Thus, it typically has the form "if P then Q."
Where:
P and Q represent sentences.
If Megan is swimming = S
It is warm outside = W
Therefore, if Megan is swimming, then it is warm outside is represented by S → W.
Read more on conditional statement here: https://brainly.com/question/16951916
#SPJ1
Okey please help me out
Rewrite the second expression as
[tex]\dfrac1{1+x^m + x^{-n}} = \dfrac{x^{\ell+n}}{x^{\ell+n} + x^{\ell+m+n}+x^\ell} = \dfrac{x^{-m}}{x^{-m} + 1 + x^\ell}[/tex]
and the third expression as
[tex]\dfrac1{1 + x^n + x^{-\ell}} = \dfrac{x^\ell}{x^\ell + x^{\ell+n} + 1} = \dfrac{x^\ell}{x^\ell + x^{-m} + 1}[/tex]
so the fractions all have the same denominator.
Then combining the fractions gives the desired result,
[tex]\dfrac1{1+x^\ell+x^{-m}} + \dfrac1{1+x^m+x^{-n}} + \dfrac1{1+x^n+x^{-\ell}} = \dfrac{1+ x^\ell + x^{-m}}{1+x^\ell+x^{-m}} = \boxed{1}[/tex]
8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: (f + g)(x)[/tex]
[tex]\qquad \sf \dashrightarrow \: f(x) + g(x)[/tex]
[tex]\qquad \sf \dashrightarrow \: (4 {x}^{2} - 5x) + (3 {x}^{2} + 6x - 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: 7 {x}^{2} + x - 4[/tex]
If u are 13, and ur birthday is 21 of october, how old will you be in 2050?
Answer:
41 years old
Step-by-step explanation:
2050-2022=28 years
13years old +28years = 41 years old (sorry if wrong)
Answer: Based on today's date of 7/19/2022, you will be 41 until October 21, 2050. On October 21, 2050 you will turn 42. You were born in 2008
Step-by-step explanation:
The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How many seats are in the theater?
Anyone is here
Answer:
1083 seats
Step-by-step explanation:
this is an arithmetic sequence :
an = an-1 + c
in our case
a1 = 10 (10 seats in the first row)
a2 = a1 + 1 = 10 + 1 = 11
a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12
an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n
a38 = a1 + 37 = 10 + 37 = 47 seats.
altogether this means the sum of the arithmetic sequence of a1 to a38.
the general sum of an arithmetic sequence from a1 to an is
n×(a1 + an)/2
in our case
38×(10 + 47)/2 = 19×57 = 1083 seats
The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B. Cone A radius is r and height h - Cylinder B radius is r and height h. True or false?
The ratio of the lateral surface area of cone A to the lateral surface area of cylinder B is equal to [tex]r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}[/tex]. (Correct choice: False)
What is the ratio of lateral area of cone to the lateral area of the cylinder?In accordance with space geometry, the lateral areas of the cone and cylinder are described by the following equations:
Cone
[tex]A_{l} = \pi \cdot r \cdot \sqrt{r^{2}+h^{2}}[/tex] (1)
Cylinder
[tex]A_{l} = 2\pi\cdot r\cdot h[/tex] (2)
If we divide (2) by (1), then we have the following ratio:
[tex]r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}[/tex]
The ratio of the lateral surface area of cone A to the lateral surface area of cylinder B is equal to [tex]r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}[/tex]. (Correct choice: False)
To learn more on surface areas: https://brainly.com/question/2835293
#SPJ1
At the store, there were 6 bags of chips for every 8 cookie boxes. If there were 104 cookie boxes, how many bags of chips were there?
Answer: There were 78 bags of chips.
The following table shows the weights of nine subjects before and after following a particular diet for two months. Test the claim that the diet is effective in helping people lose weight Subject A B DEFGHI Before 168 180 157 132 202 124 190 210 171 After 162 178 145 125 171 126 180 195 163
Using the t-distribution, it is found that there is not enough evidence that the diet is helping people lose weight.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean hasn't decreased, that is:
[tex]H_0: \mu_B \leq \mu_A[/tex]
[tex]H_0: \mu_B - \mu_A \leq 0[qtex]
At the alternative hypothesis, it is tested if the mean has decreased, that is:
[tex]H_1: \mu_B - \mu_A > 0[qtex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:
[tex]\mu_B = 170.44, s_B = \frac{29.275}{\sqrt{9}} = 9.7583[/tex].[tex]\mu_A = 160.56, s_A = \frac{24.203}{\sqrt{9}} = 8.067[/tex].Hence, for the distribution of differences, they are:
[tex]\overline{x} = \mu_B - \mu_A = 170.44 - 160.56 = 9.88[/tex].[tex]s = \sqrt{s_B^2 + s_A^2} = \sqrt{9.7583^2 + 8.067^2} = 11.66[/tex]What is the test statistic and the decision?
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{9.88 - 0}{11.66}[/tex]
t = 0.85.
Considering a right-tailed test with 9 + 9 - 2 = 16 df, with a standard significance level of 0.05, the critical value is t = 1.7459. Since t = 0.85 < 0.85, there is not enough evidence that the diet is helping people lose weight.
More can be learned about the t-distribution at https://brainly.com/question/13873630
#SPJ1
The perimeter of a rectangle is 96 ft and the width is 22 ft what is the length of the rectangle
The length of the rectangle is 26ft.
What is the perimeter of a rectangle?
The sum of all sides of a rectangle is the perimeter of the rectangle.A rectangle has two equal lengths and two equal widths.Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths. That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.What is the length of the rectangle with perimeter 96ft and the width 22ft?The perimeter of a rectangle is, P = 96 ft.
The width of the rectangle is, w = 22ft.
As we know the perimeter P of a rectangle is given by the formula, P=2l+2w
Therefore, substituting the values in the equation we get,
P = 2l + 2w
96 = 2l + 2*22
96 = 2l + 44
2l = 96 - 44
2l = 52
l = 52/2
l = 26
Hence, the length of the rectangle is 26ft.
Learn more about the perimeter of a rectangle at https://brainly.com/question/19819849
#SPJ4
What are the ratios for sin A and cos A? The diagram is not drawn to scale.
Answer:
C
Step-by-step explanation:
Sin represents opposite/hypotenuse. Thus, when A is the reference angle, 21 is the measure of the opposite side (CB) and 29 is the measure of the hypotenuse (AB).
Cos represents adjacent/hypotenuse. Therefore, when A is the reference angle, 20 is the measure of the adjacent side (AC) and 29 is the measure of the hypotenuse (AB).
If point (4, 5) is on the graph of a function, which equation must be true?
f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1
Answer:
f(4) = 5
Step-by-step explanation:
Think about it this way
a point with an x value of 4,
this x value is put into the function,
then the function outputted a y value (or value) of 5.
So, we can name this function f(x)
Then, we let x = 4,
then the output for f(4) = 5
Answer: f(4) = 5
Step-by-step explanation:
If the point (4, 5) is on the graph of a function, this means that when you input 4 you get an output of 5.
Inputs are usually shown with the x-coordinate, and outputs are usually shown with the y-coordinate.
This means that (4, 5) is an input of 4 for an output of 5.
I can find the perimeter and area of the rectangle
Answer:
A = 72, P = 38
Step-by-step explanation:
Area can be found by getting the area of the overall figure, and then subtracting the blank space in the corner
12 * 7 = 84
3 * 4 = 12(invisible rectangle in top right)
84 - 12 = 72
Perimeter can be found by adding all of the sides
12 + 7 + (12-4) + 3 + 4 + (7-4)
The numbers in brackets are the unlabeled sides on the top and left.
Answer:
[tex]P=38\\ A=72[/tex]
Step-by-step explanation:
To find the perimeter (P), add up all of the side lengths of the figure:
(numbers in parenthesis are the unlabeled values in the figure).
[tex]12+7+(8)+3+4+(4)=38[/tex]
To find the area of the figure (A), multiply the length and width of the original rectangle [tex](12*7=84)[/tex]. Then, subtract this amount (84) minus the area of the missing rectangle in the top left corner [tex](4*3=12)[/tex].
Subtract the required values: [tex]84-12=72[/tex].
Therefore, the perimeter of the figure is 38 units, and the area of the figure is 72 units.
Which is the graph of f(x) = }(4)*2
Answer: D
Step-by-step explanation:
Where the x-intercept is 0.25.
In a right triangle, one acute angle is 22 degrees less than 3 times the other acute angle. What is the measure of the larger acute angle
The measure of the acute angles are 62° and 28° .
What is the larger acute angle in a right triangle?The Triangle Angle Sum Theorem states that the sum of all interior angles in a triangle is . Additionally, the Right Triangle Acute Angle Theorem states that the two non-right angles in a right triangle are acute; that is to say, the right angle is always the largest angle in a right triangle.Let x represent the measure of one of the acute angles of the right angle triangle.
Let y represent the measure of the other acute angle of the right angle triangle.
One of the acute angles in a right triangle measures 22 degrees less than 3 times the other acute angle. This means that
x = 3y - 22
The sum of two acute angles in a right triangle is 90 degrees.
We write as
x + y = 90 - - - - - - - (1)
Substituting x = 3y - 22 into equation 1, it becomes
3y - 22 + y = 90
4y = 90 + 22= 112
y = 112/4 = 28
x = 90 - y = 90 - 28
x = 62
Learn more about acute angle in a right triangle
brainly.com/question/4174850
#SPJ4
When drawing a context diagram, standardized names should be used within each set of symbols. a. True b. False
The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.
According to the statement
we have given the statement and we have to show that the statement is a true or false after analyzing.
So, to analyse the statement
Context diagrams show the interactions between a system and other actors (external factors) with which the system is designed to interface. System context diagrams can be helpful in understanding the context .
But we know that the standardized names is not used within each set of symbols. so, this is used in a randomly sets.
that's why the given statement is not true in the case of the standardized names.
So, The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.
Learn more about context diagram here https://brainly.com/question/2005046
#SPJ4
The two dot plots below compare the forearm lengths of two groups of schoolchildren: Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group X and the title for the bottom plot is Forearm Length, Group Y. Below the line for each dot plot is written Length in inches. There are markings from 10 to 13 on each line at intervals of one. For the top line there are 4 dots above the first mark, 4 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 2 dots above the second mark, 2 dots above the third mark, and 6 dots above the fourth mark. Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length? Group X, because no child in the group has a forearm length longer than 12 inches. Group X, because four children in the group have the least forearm length of 10 inches. Group Y, because a child in the group has the least forearm length of 10 inches. Group Y, because six children have a forearm length longer than 12 inches.
The group that have the longer average forearm length is group Y, because six children have a forearm length longer than 12 inches.
Which group has a longer forearm length?
A dot plot is a graph that shows the frequency of a number using dots. The greater the number of dots above a number, the greater its frequency.
In group X, the highest arm length is 12 while in group Y, it is 13. This means that group Y would have longer arm lengths.
To learn more about dot plots, please check: https://brainly.com/question/22746300
#SPJ1
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
The square root of the quantity 3 x plus 12 end quantity equals 9.
The value of x from the given expression is 23
Radical equationsGiven the following equation
√3x+12 = 9
Square both sides
√3x+12)² = 9²
3x + 12. = 81
Subtract 12 from both sides
3x + 12 - 12 = 81- 12
3x = 69
x = 23
Hence the value of x from the given expression is 23
Learn more on equations here: https://brainly.com/question/2972832
#SPJ1
f(x) = 7x
g(x) = 7x + 6
Which statement about f(x) and its translation, g(x), is true?
The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}.
The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}.
The asymptote of g(x) is the asymptote of f(x) shifted six units down.
The asymptote of g(x) is the asymptote of f(x) shifted six units up.
The statement which is true about the translation is; The asymptote of g(x) is the asymptote of f(x) shifted six units down.
Which statement is true about the translation?Since it follows from the task content that the function g(x) represents a 6 units vertical shift downward, it can then be concluded in the same regard that The asymptote of g(x) is the asymptote of f(x) shifted six units down.
Therefore, the true statement is; the asymptote of g(x) is the asymptote of f(x) shifted six units down.
Read more on translation;
https://brainly.com/question/1046778
#SPJ1
ILL GIVE BRAINLIEST
1 x/3 - 3/4= 5/12
solve for x
A parachute speed free fall reaches 45 meters per second what is this speed in feet per second at this speed how many feet will the parachutist fall during 5 seconds of free fall in your computations assume that 1 meter is equal to 3.3 feet. Don’t round your answers
The speed is:
S = 742.5ft
The distance that the parachutist falls in 5 seconds is:
D = 742.5ft
How to get the speed in feet per second?
We know that the speed in free fall is:
S = 45 m/s.
We know that:
1 m = 3.3ft
Then we can rewrite the speed as:
S = 45 m/s = 45 *(3.28ft)/s = 148.5 ft/s
Then, the distance that the parachutist falls during 5 seconds is:
D = S*5s = (148.5 ft/s)*5s = 742.5ft
If you want to learn more about speed:
https://brainly.com/question/4931057
#SPJ1
Simplify the following expression. (2x-3)(5x^4-7x^3+6c^2-9)
The simplification of the expression (2x - 3)(5x⁴ - 7x³ + 6x² - 9) is 10x^5 - 29x⁴ + 33x³ - 18x² - 18x + 27
Simplification(2x - 3)(5x⁴ - 7x³ + 6x² - 9)
= 10x^5 - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27
= 10x^5 - 14x⁴ - 15x⁴ + 12x³ + 21x³ - 18x² - 18x + 27
= 10x^5 - 29x⁴ + 33x³ - 18x² - 18x + 27
The simplified expression is 10x^5 - 29x⁴ + 33x³ - 18x² - 18x + 27
Learn more about simplification:
https://brainly.com/question/723406
#SPJ1
A scientist testing the effects of a chemical on apple yield (apples/acre) sprays an orchard with the chemical. A second orchard does not receive the chemical. In the fall, the yield is determined (number of apples harvested per acre). What is the dependent variable
Following are the dependent variables:
1. The amount of water that each orchard receives.
2. The species of trees in the orchard.
Reason:
The exercise scientist is looking for the effects of a chemical between an apple crop to which it is administered and another to which it is not, 4 options are presented, of which it is essential to count as a variable the amount of water each Orchard and tree species in the orchard, since they can generate alterations in the results, the other two variables of the exercise such as number of apples and size of the orchards are not significant and their variations do not affect the scientist's objective.
Learn more about Dependent Variable on:
https://brainly.com/question/1670595
#SPJ4
What is the equation of the line parallel to the given line with an x-intercept of 4? y = x
Based on the polynomial remainder theorem, what is the value of the function when x=−5?
f(x)=x^4+12x^3+30x^2−12x+70
Answer:
5.
Step-by-step explanation:
f(x)=x^4+12x^3+30x^2−12x+70
The remainder theorem says that f(a) is the value of f(x) when f(x) is divided by (x - a).
So when a = -5 f(a) will be 5.
Answer is 5.
Which points lie on the graph of f(x) = -√-x?
□(-9,3)
□(-4,-2)
□ (-1, 1)
□(0,0)
□ (1,1)
□(2,-4)
□(9,3)
Answer:
(-4, -2).
(0, 0).
Step-by-step explanation:
Both coordinates will be negative or (0.0).
It's these followings:
□(-4,-2)
□(0,0)
Hope this helps!