The probability of getting strawberry is 11/60. The correct option is d.
To determine the probability of getting strawberry, we need to consider the probabilities of all the possible flavors and calculate the probability of strawberry using the information given.
Given probabilities:
Probability of getting cherry = 1/5
Probability of getting orange = 1/4
Probability of getting lemon = 1/3
Since there are only four flavors in total, we can calculate the probability of getting strawberry by subtracting the sum of the probabilities of cherry, orange, and lemon from 1.
Probability of getting strawberry = 1 - (1/5 + 1/4 + 1/3)
To simplify the calculation, we find a common denominator for 5, 4, and 3, which is 60.
Probability of getting strawberry = 1 - (12/60 + 15/60 + 20/60)
= 1 - 47/60
= 13/60
Therefore, the probability of getting strawberry is indeed 13/60, which corresponds to option d) 11/60 in the given list of options.
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In a certain town 65% of homeowners watch cable TV, 40% watch Netflix, and 20% watch both.
Draw a Venn Diagram. Choose a homeowner at random. If homeowner watches cable TV, what is
the probability they watch Netflix?
Answer:
.31
Step-by-step explanation:
What is the approximate value of 8√ ?
Answer:
The Volume Of A Cylinder Is 12,566.4 Cm^3. The Height Of The Cylinder Is 8 Cm. Can You Find The Radius Of The Cylinder To The Nearest Tenth Of A Centimeter? For Sq Roots What Is The Cut And Try Method And How Would I Apply It To Figure The Sq Root Of 180? (3 Times The Square Root Of 6) Divided By (the Square Root Of 2)
Step-by-step explanation:
Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
The length of a rectangle i 2cm greater than the width of the rectangle. The perimeter of the rectangle i 24cm
The length of the rectangle is 7 cm and the width is 5 cm.
Perimeter of a rectangle:The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.
The formula for the Perimeter of the rectangle is given by
Perimeter = 2( Length + Width )Here we have
The length of a rectangle is 2cm greater than the width of the rectangle
And perimeter of the rectangle = 24 cm
Let x be the width of the rectangle
From the given data,
Length of the rectangle = (x + 2) cm
As we know Perimeter of rectangle = 2(Length+width)
=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)
From the given data,
Perimeter of rectangle = 24cm
=> 2(2x +2) = 24 cm
=> (2x +2) = 12 [ Divided by 2 into both sides ]
=> 2x = 12 - 2
=> 2x = 10
=> x = 5 [ divided by 2 into both sides ]
Length of rectangle, (x+2) = 5 + 2 = 7 cm
Therefore,
The length of the rectangle is 7 cm and the width is 5 cm.
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Lan mailed a package that weighed 5.63 pounds. What are the first 2 steps in rounding the number to nearest 10th? What is 5.63 rounded to the nearest tenth? PLZ keep it simple for me to understand
Answer:
5.63 rounded to the nearest tenth is 5.6
ƒ(1) = −16 [ƒ(1)
f(n) = -29 - f(n-1)
what is f(2)=
Answer:
f(2) = -13
Step-by-step explanation:
Evaluate the given formula with the given value of the variable.
Applicationf(1) = -16 . . . . . . . . . . given
f(n) = -29 -f(n-1) . . . . given
For n = 2, we have ...
f(2) = -29 -f(2-1) = -29 -f(1) = -29 -(-16) . . . . put 2 in place of n and evaluate
f(2) = -13
what is the measure of <4? Explain how you know.
Answer:
4 = 90°
Step-by-step explanation:
If a box is drawn, that means it is 90 degrees exactly.
Angle 4 has that same box drawn, so that means it is 90°
I Hope That This Helps! :)
Use the Pythagorean Theorem to find the distance between points F and C.
What is the distance between (-4,-1) and ( -2,-2)
Answer:
-2, -1
Step-by-step explanation:
an exam consists of 50 multiple choice questions. based on how much you studied, for any given question, you think you have a probability of 0.65 of getting the correct answer. consider the sampling distribution of the sample proportion of correct questions out of 50 questions.
The answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.The four most common approaches to probability are axiomatic, classical, empirical, and subjective.So, the formula for mean calculation:
E(x) = npSo, we obtain:
E(x) = 50 × 0.64E(x) = 32The formula for standard error:
\(S E=\sqrt{\frac{p+(1-p)}{n}}\)So, we get:
\(\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}\)
So, the standard error is 0.068, and the mean is 32.
Given the size of the sample, a roughly normal shape can be anticipated.
In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:
\(z=\frac{x-\mu}{\sigma}\)So, we obtain:
\(\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}\)
Then,
P (x < 60%) = P (z < -0.588)P (x < 60%) = 0.278Consequently, the probability of receiving a score below 60% is 0.278.
Therefore, the answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.Know more about probability here:
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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)
Line m is parallel to line n.If the slope of line m is -2,what is the slope of line n?
Answer:
-2
Step-by-step explanation:
they are parallel so same slope but different y intercepts
Como le explicarian a un compañero como se puede descomponer un numero escribiendo sumas y potencias de 10? Como se puede averiguar el valor relativo de cada cifra de un numero? Busquen ejemplos que den cuenta a esta explicacion
Answer:
Léase explicación detallada para mayor entendimiento.
Step-by-step explanation:
La metodología a utilizar es la siguiente, un número de base 10 es una combinación de dígitos entre 0 y 9, el dígito a la derecha del observador es el dígito pivote, el orden del dígito aumenta a medida que el observador dirige la mirada hacia su izquierda. Asimismo, el orden del dígito disminuye a medida que el observador dirige la mirada hacia su derecha.
Ejemplo - Ponga en orden descendente el orden de los dígitos de 3605.
Se descubre que el 5 es el dígito pivote (Orden 0), 0 esta un orden por encima del dígito pivote (Orden 1), 6 esta a dos órdenes por encima del dígito pivote (Orden 2) y 3 está tres órdenes por encima del dígito de menor pivote (Orden 3). En consecuencia, la jerarquía de los dígitos en orden descendente es 3 - 6 - 0 - 5.
Ejemplo - Ponga en orden ascendente el orden de los dígitos de 245,471.
Se descubre que el 5 es el dígito pivote (Orden 0), 4 está un orden por encima del dígito pivote (Orden 1) y 2 está dos órdenes por encima del dígito pivote (Orden 2). Asimismo, 4 está un orden por debajo del dígito pivote (Orden -1), 7 está dos órdenes por debajo del dígito pivote (Orden -2) y 1 está tres órdenes por debajo del dígito pivote (Orden -3). En consecuencia, la jerarquía de los dígitos en orden ascendente es 1 - 7 - 4 - 5 - 4 - 2.
Ahora, se puede descomponer un número conforme el número a partir de sumar cada dígito multiplicado por 10 elevado por el orden que le corresponde dentro del número, cuyo procedimiento se explica con un ejemplo:
Ejemplo - Descomponga 1268.153 en sumas y potencias de 10.
El dígito 8 es el dígito pivote, existen tres dígitos cuyo es superior al del dígito pivote y tres dígitos con un orden inferior al dígito pivote, entonces este número real se puede reescribir como sigue en orden descendente:
\(1268.153 = 1 \times 10^{3} + 2 \times 10^{2} + 6\times 10^{1} + 8 \times 10^{0} + 1 \times 10^{-1} + 5\times 10^{-2} + 3 \times 10^{-3}\)
I give free brainlest :D
Answer:
Yes plz!
Step-by-step explanation:
Answer:
yeah sure i'll take some
Step-by-step explanation:
Ralph owns a circular farm as shown. He is planning to fence a triangular pigpen ABC in the farm. Point M is the midpoint of the side CB. All dimensions are in yards. Given that the fence material cost $30 per yard, what is the total cost to fence the pigpen?
Answer:
\(Total = \$942\)
Step-by-step explanation:
Given
\(A = (0,0)\)
\(C = (3,4)\)
See attachment for farm
Required
The cost of fencing the farm
First, calculate the radius of the farm.
The radius is represented with AC.
So, we have:
\(AC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\) ---- distance formula
So, we have:
\(AC = \sqrt{(0 - 3)^2 + (0 - 4)^2}\)
\(AC = \sqrt{(- 3)^2 + ( - 4)^2}\)
\(AC = \sqrt{9+16}\)
\(AC = \sqrt{25}\)
\(AC = 5\)
Hence:
\(r = 5\) --- radius
Calculate the circumference of the circle
\(C = 2\pi r\)
\(C = 2 * 3.14 * 5\)
\(C = 31.4yd\)
If 1 yard costs $30, 31.4 yards will cost:
\(Total = 31.4 * 30\)
\(Total = \$942\)
Aretha has 3 more than half the number of notebooks that Jules has.
Aretha has a notebooks and Jules has j notebooks.
Which equation represents the relationship between a and j?
hfk,yvhhyvb;ihviluyb
I do not know honestly ⇔⇔⇔⇔⇔⇔⇔
First let π1 be the proportion of all events of interest in A, and let π2 be the proportion of all events of interest in B. Determine the hypotheses
Then calculate the x2 stat
Calculate the p value
Is the value significant at alpha 0.01?
I can explain the general process for hypothesis testing using the chi-square (x2) test. The chi-square test is used to determine if there is a significant association between two categorical variables.
To determine the hypotheses, x2 statistic, and p-value, we need more specific information about the problem, including the variables A and B and their observed frequencies or proportions.
1. Hypotheses:
- Null Hypothesis (H0): There is no association between the variables A and B.
- Alternative Hypothesis (HA): There is an association between the variables A and B.
2. Calculate the x2 statistic:
- The x2 statistic measures the difference between the observed and expected frequencies in each category. The formula for calculating the x2 statistic depends on the specific data and research question.
3. Calculate the p-value:
- The p-value represents the probability of observing a result as extreme as the one obtained, assuming the null hypothesis is true. The calculation of the p-value also depends on the specific data and research question.
4. Determine significance at alpha 0.01:
- If the p-value is less than the significance level (alpha), typically 0.01 or 0.05, we reject the null hypothesis and conclude that there is evidence of an association between the variables.
Therefore, remember, the process described here is general, and the specific steps and calculations will depend on the data and research question provided.
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I 3) Give the steps you will use to separate the variable and the solve the equation.
a) у/3 = 4
b) Zn - 6 = 8
pls pls pls pls give step by step answer I will mark brainlist
(1)
Multiply both sides by 3
y = 4 * 3
Simplify 4 * 3 to 12
y = 12
(2)
There are two possibilities for both z & n.
Solving for z:
add 6 to both sides
2n = 8 + 6
simplify 8 + 6 to 14
zn = 14
divide both sides by n
z = 14/n
Solving for n:
add 6 to both sides
zn = 8 + 6
simplify 8 + 6 to 14
zn = 14
divide both sides by z
n = 14/z
It’s 37 divided by 6
Answer:
\(6 \frac{1}{6} \)
Step-by-step explanation:
\(37 \div 6 = 6 \: remainder \: 1 \\ = 6 \frac{1}{6} \)
Factorise x^2+4x+3=0
hello i attached a picture of a simple trigonometry question please help <3
Side CD has a length of 11.67
It keeps saying "don't use such words so here is the question as a picture I guess.
As a result, 47 degrees of freedom represent the essential t value ().
What's really degree as well as its types?Least. To contrast one thing to another, degrees of comparison are employed. One thing or person is described in the positive degree. When comparing two things or people, utilize the comparative degree. Moreover, the exceptional degree is employed to describe groups, individuals, or more than two objects.
The following formula must be used to get the freedom degrees for the crucial t value ():
df = n - 1
where the sample size is "μ". The sample size in this instance is 48, so:
df = 48 - 1
df = 47
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what is the total surface area of the triangular prism in square centimeters?
A 240 cm^2
B 368 cm^2
C 320 cm^2
D 344 cm^2
Answer:
D
Step-by-step explanation:
base area = (6 · 4)/2 = 24/2 = 12 cm²
half base length = 6 : 2 = 3 cm
leg = \(\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\) cm
perimeter = (5·2) + 6 = 10 + 6 = 16 cm
lateral area = 16 · 20 = 320 cm²
surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²
Hideki buys 2 sweaters for $18 each. He can use one of the following coupons :
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal?
The coupon which gives Hideki a better deal is Coupon 2: as the total cost is: $27
The total cost of coupon 1 will be; $28.8
The total cost of coupon 2 will be; $27
For Coupon 1; Buy 1 get one 40% off.
Total cost = $18 + 60% ($18)
Total cost = $18 + $10.8.
Total cost = $28.8
For Coupon 2; 25% off entire purchase
Total cost = 75% ($18 + $18)
Total cost = 75% ($36)
Total cost = $27
:D Your Welcome!
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2. 75 m/s. In that location, the distance directly across the river is 45. 0 m and the current velocity is 2. 5 m/s.
a) How much time does the otter take to get to the other side, if it points directly across the river?
b) How many metres downstream will the current have carried the otter when it gets to the other side?
c) Calculate the otter's velocity, relative to the bank from where it started
The otter takes approximately 12.10 seconds to get to the other side if it swims directly across the river. The current will have carried the otter approximately 30.25 meters downstream when it reaches the other side. The otter's velocity, relative to the bank from where it started, is 0.25 m/s.
a) To find the time it takes for the otter to get to the other side, we can use the concept of relative velocity. The otter's swimming speed is 2.75 m/s, and the current velocity is 2.5 m/s. Since the otter is swimming directly across the river, its swimming speed and the current speed are perpendicular. Using the Pythagorean theorem, we can find the resultant velocity of the otter:
Resultant velocity = √(swimming velocity² + current velocity²)
= √(2.75² + 2.5²)
≈ √(7.5625 + 6.25)
≈ √13.8125
≈ 3.72 m/s (rounded to two decimal places)
The time it takes to cross the river is given by the distance divided by the resultant velocity:
Time = Distance / Resultant velocity
= 45.0 m / 3.72 m/s
≈ 12.10 seconds (rounded to two decimal places)
b) To find how many meters downstream the current carries the otter when it gets to the other side, we can calculate the distance using the time it takes to cross and the current velocity.
Distance downstream = Time × Current velocity
= 12.10 s × 2.5 m/s
= 30.25 m
c) The otter's velocity, relative to the bank from where it started, can be calculated by subtracting the current velocity from the otter's swimming velocity.
Relative velocity = Swimming velocity - Current velocity
= 2.75 m/s - 2.5 m/s
= 0.25 m/s
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ill give you easy points. 2x+3=12
Hey there!
\(\huge{ \fbox{ \sf{x=9/2 }}}\)
\(2x+3=12\)
To solve, we will need to subtract 4 from both sides.
\(2x+3-3=12-3=2x=9\\2x=9\)
Now in our second and final step, we will have to divide both sides by 2.
\(\frac{2x}{2}=\frac{9}{2} \\\frac{9}{2}\text{(ANSWER)}\)
Hope this helps!
\(\text{Please rate this answer and thank!}\\\text{-TestedHyperr}\)
100 POINTS PLEASE
PLEASE BRAINLIEST
Here
NB||NAShow sum of interior angles is 180°
\(\\ \sf\longmapsto <NBA+<NAB=180\)
\(\\ \sf\longmapsto <NAB+103=180\)
\(\\ \sf\longmapsto <NAB=180-103\)
\(\\ \sf\longmapsto <NAB=77°\)
Vertical angles are supplementary
We need m<NAB
180-m<NBA180-10377°please help me its due please
Answer:
0<x<4
Step-by-step explanation:
Ok, so the question is basically asking where balls height goes up, then down. So the x has to be in the middle of a bounce. That means that x has to be 0, 4, 6, or 8. So the number on the left side must be one of the numbers I just listed. And then the number on the right must be the end of the bounce, so it would be either 4, 6, 8, or 10. So then your answer after looking must be 0<x<4
Find the missing side. Round to the nearest tenth.
52°
27
Answer:
x = 16.6
Step-by-step explanation:
Use Cos
Cos 52 = x / 27
Cos of 52 is 0.61566
0.61566 = x / 27
Multiply 27 on both sides
16.622 = x
Round to the nearest tenth
16.622 = 16.6
\(\frac{ \cos(52) }{1} = \frac{x}{27} \)
Cross multiply!
\(x = 27 \cos(52) \)
Determine by using a calculator!
Answer: x is approximately 16.6
What explicit equation represents the relationship between X and Y in the graph below
Which of the following is true based on the graph? Nearly 200
∘
of cancer cases resorted in the U.S. are aithbusabis to smoking Physicat activity is a nsk factor for cancer cases reported in the U'. S. Acohol is a greator risk factoe for cancer cases than smokng
Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".
The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.
Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.
The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.
Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.
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please please helppp meeee
Answer:\(-\frac{2}{3}\)
Step-by-step explanation: Search math w ay on the internet :)
Answer:
2/-3
Step-by-step explanation:
using rise/run we can can see that the slope rises 4 units and the run is -6 simplify to 2/-3