A bag contains k blue beads and 4 red ones, If the probability of randomly picking a blue bead from it is 1/3, find the value of k​

Answers

Answer 1

Answer:

[tex]k = 2[/tex]

Step-by-step explanation:

[tex]\textrm{P(blue \;bead)} = \dfrac{\textrm{Number of blue beads}}{\textrm{Total number of beads}}\\\\\textrm {Number of blue beads } = k\\\\\textrm{Total number of beads } = k + 4\\\\[/tex]

[tex]\textrm{P(blue \;bead)} = \dfrac{k}{k+4}\\\\[/tex]

[tex]\textrm{We are given this probability as } \dfrac{1}{3}\\\\\textrm{So,}\\\\\dfrac{k}{k+4} = \dfrac{1}{3}\\\\[/tex]

Cross-Multiplying this equation we get
[tex]k\cdot 3 = 1 \cdot (k + 4)\\\\\longrightarrow 3k = k + 4\\\\3k - k = 4\\\\2k = 4\\\\k = 2\\\\[/tex]


Related Questions

If the probability of an event is
and there are 28 total outcomes, how many favorable outcomes are there?
0 1
04
07
O 28
PLEASE ANSWER AND HURRRRRRY

Answers

Answer:

uhhh 28

Step-by-step explanation:

y = 4x - 11
4x - y = 11
Systems of equations by substitution

Answers

Answer:

............................

Answer:

No Solution

Step-by-step explanation:

Substitute y = 4x - 11 in 4x - y = 11

4x - y = 11

4x - 4x - 11 = 11

-11 = 11

There is no solution because -11 does not equal 11.

A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your
house. In what time will the storm reach your house?

Answers

Answer:

3 hours

Step-by-step explanation:

(60km)/(20km/hr)=3

The storm would come to your house by three hours because it is going towards the house at 20 KM an hour and then it’s going to be 60 km away and then after that, you would have to divide 60 km with 20 km and then you would get 3 hours.


You're welcome:)

the coast of 16 pens is rupees 256. Find the cost of 13 pens.​

Answers

256 divided by 16=16 each pencil
So, 16x13=208
Answer: 208

Will mark brainliest!

Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:




Part B: Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.

BTW. PLESE DON'T ANSWER IF YOU DON'T KNOW.

Answers

Answer:

y = 0.44 x - 0.1

Step-by-step explanation:

Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:

slope = (y2 - y1) / (x2 - x1)

slope = (12 - 1 ) / (27.5 - 2.5) = 0.44

Now we use this slope to complete the equation of the line through those points:

y = 0.44 x + b

1 = 0.44 (2.5) + b

1 = 1.1 = b

b = 1 - 1.1

b = - 0.1

Therefore, the equation of the line becomes:

y = 0.44 x - 0.1

Answer:

y = 0.44x + 0

Step-by-step explanation:

I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.

(2.5,1) and (27.5,12)

To find slope I am going to calculate change in y over change in x.

12 - 1 over 27.5 - 2.5 = 11/25 = 0.44

So far we have y = 0.44x + 0

To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"

We get that the y intercept equals 0.

y = 0.44x + 0 or just y = 0.44x

I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!

Jennifer has been collecting beads all summer. She started with 65 beads and by the end of the summer, she added 25 more beads to her collection. On the first day of school, she wants to evenly split the beads up among her 6 friends. How many beads will each friend get?
A. 12
B. 15
C. 24
D. 17

Answers

Answer:

hi!

First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer

she gives to each of her friends 90:6(friends)=15 beads for each (answer B)

hope i helped!

ig: landonorris

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One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.

Answers

the answer is 40
this should be right

The two numbers are 6 and 20 respectively.

What are word problems?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is that one number is 10 less than 5 times the second number. Their sum is 26.

Let the numbers be [x] and [y] repsectively. Then, we can write that -

x + y = 26        ..... Eq[1]

x = 5y - 10        ..... Eq[2]

We can write -

x + y = 26

5y - 10 + y = 26

6y = 36

y = 6

Then, we can write [x] as -

x = 5 x 6 - 10 = 30 - 10 = 20

x = 20

Therefore, the two numbers are 6 and 20 respectively.

To solve more questions on equation modelling, visit the link below -

https://brainly.com/question/29299318

#SPJ2

Fine the exponent ??

Answers

Answer:

the exponent is 7 why does it make me put 20 charects

Answer:

3

Step-by-step explanation:

27 = 3 to the power of 3

3 x 3 x 3 = 27

what is the solution to 5(4x-1.5x)+12-2

Answers

Answer:

12.5x+10

Step-by-step explanation:

I'm assuming that you want to simplify this, because there is no equal sign.

If you want to simplify, first combine like terms.

First solve the first half of the equation: 20x-7.5x=12.5x

Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.

That's your answer: 12.5x+10

Answer:

x = 0.8

Step-by-step explanation:

Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.

First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.

Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.

Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is

x = 0.8

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer:

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 391 drivers and find that 319 claim to always buckle up.

This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]

85% confidence level

So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Find the percent change from the first value to the second. Round to the nearest percent.
92; 23

Answers

Answer:

Step-by-step explanation:

23-92 = -69

-69/92 = -0.75 = -75%

Selena has 3 bagels. She wants the bagels for breakfast for 5 days. If she eats the same amount of bagel each day, how much bagel should she eat each day for breakfast.

Answers

Answer:

0.6

Step-by-step explanation:

Sense she eats 3 bagels in 5 days, you would multiply 3 and 5 you would then get 15 bagels

Six friends share a 15 ounce bag of Skittles equally. Between what two whole numbers of ounces will each person get?

1. 3 and 4
2. 2 and 3
3.1 and 2
4. 0 and 1

Answers

Answer:

2. 2 and 3

Step-by-step explanation:

15 ÷ 6 = ?

15 ÷ 6 = 2.5

2, 2.5 , 3

Between 2-3

I hope that helps!!

Tez
Conclusions: Testing Trig Ratios
Does this ramp have an angle less than 4.8°?
Does it meet the ADA guidelines?
Triangle B
Yes
No
40
30

Answers

Answer:

ddjdjdjduduudduudppooo


2, 3,6
Write the fact family formed by these numbers.

Answers

Answer:

‍♀️

Step-by-step explanation:

villian

Answer:

2, 3, and 6:

2 X 3 = 6,

3 X 2 = 6,

6 � 2 = 3

6 � 3 = 2.

Hope it helps

Please mark me as the brainliest

Thank you

A water faucet leaks 3/5 of a liter of water in 3/4 of an hour. Which TWO statements are correct for this situation


1. The faucet leaks 4/5 liter per hour.

2. The faucet leaks 5/4 liter per hour.

3. The faucet leaks 2/5 liter per 1/2 hour.

4. The faucet leaks 3/8 liter per 1/2 hour

5. The faucet leaks 3/10 liter per 1/2 hour.

Answers

Answer:

A & C

Step-by-step explanation:

Please just trust me

Answer:The faucet leaks 4/5 liter per hour.

The faucet leaks 2/5 liter per 1/2 hour.

Step-by-step explanation:

HELP ASAP PLS SHOW WORK

Answers

Answer:

42

dnndndndndndnd

dndndndndj

Can someone please help me I don’t understand

Answers

Answer:

The ship is traveling at 25 mph

Step-by-step explanation:

12.5/0.5=25

25/1=25

37.5/1.5=25

The speed is constant (25) so the ship is moving at 25 mph

4. (05.02)
Find the measure of angle x in the figure below:
(5 points)
χο
Υ
55
30'
95ο
55ο
Ο Ο Ο Ο
30ο
850

Answers

Answer:

95 degrees

Step-by-step explanation:

use a calculator

15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help

Answers

Give me a sec please

PLEASE ANSWER! I NEED HELP!! 30 POINTS TO WHO EVER ANSWERS!
The point of intersection of a system of equations is (3,4). Which of the following could represent one of the equations in the system of equations?

Select one:
A. 2x+3y=15
B. x+y=8
C. −2x+6y=18
D. −4x−y=−8

Answers

The answer is C

Step by step :-
here
x=3
y=4
so,
-2×3+6×4=18
or,-6+24=18

Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^

Answers

Ashley can purchase 10 pizzas and Brian can purchase 12 so there would be nothing left on the cards

5/60=12

10/100=10

Let me know guys pls

Answers

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/35=15/25

x=35(15)/25

x=21

Which of the following are reasons that a sampling technique may not be scientific.

a. People who were asked refused to answer.
b. The graphs are drawn in a way to mislead the reader.
c. The researcher was not able to survey every individual from the population.
d. The funders of the project are partial to the results.
e. Two factors cannot be separated to determine which is the one that is responsible for the outcome.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Answers

Answer:

b. The graphs are drawn in a way to mislead the reader.

f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Step-by-step explanation:

The sampling technique is used to make observation about entire population. The sampling may be misleading if the graphs are not properly drawn. This could mislead the reader and the sampling technique will not be scientific.

Sampling may be unscientific when the graphs are drawn in a way to mislead the reader.

Sampling is a simple way of carrying out scientific studies. In a sampling technique, a small fraction of the whole is selected for study in such a manner that represents the whole.

A sampling may not be scientific if;

The graphs are drawn in a way to mislead the reader.Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Learn more about sampling: https://brainly.com/question/857770

2
Find the quotient when x + 11x + 18 is divided by
x +9

Answers

Answer:

(12x + 18)/(x+9)

Step-by-step explanation:

We have: (x + 11x + 18)/(x+9). First simplify this equation by adding like terms.

(12x + 18)/(x+9), which is your answer. This is the final answer because we can't simplify this expression anymore.

The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.

Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]H_0: \sigma^{2} \leq 0.0008\\\\H_a: \sigma^{2} > 0.0008[/tex]

The testing states value is:

[tex]\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250[/tex]

therefor the [tex]\rho - \ value = 0.2931[/tex]

Through out the above equation its values Doesn't rejects the H_0 value, and its  sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.

how many thirds are in 8/3

Answers

Answer:

There are 8 thirds in 8/3

There are 2 wholes in 8/3 as well

8/3 converted to a decimal is 2.7 rounded to the nearest tenth (so 2.6 repeated)

Step-by-step explanation:


[tex] \sqrt{2536} [/tex]

Answers

Answer:

50.35

Step-by-step explanation:

50.35 STEP bsnsnakkskskskskkss

which is the better price?

$5.36 for 20 oz.

or $9.27 for 48 oz.

Answers

Answer:

$9.27 for 48 oz.

What is the mass of a truck if it
produces a force of 14000 N while
accelerating at a rate of 5 m/s/s?

Answers

Answer:

force (f)= 14000N

acceleration (a)=5m/s²

mass (m)=?

we have,

f=ma

14000=m×5

14000/5=m

2800=m

therefore Mass is 2800kg

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