A cloth bag contains a mix of black, white and red balls. Selecting one ball at random, the probability of getting a black ball is 0.2 , while the probability of getting a white ball is 0.5 . (a) Selecting one ball at random, what is the probability of getting a red ball ? (b) If in total there are 5 white balls in the bag, how many black balls are there ? (c) If there are in total 3 red balls in the bag, how many balls are there altogether ?
pls give the way
Answer:
a) 0.3
Step-by-step explanation:
The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
The probability of getting a black ball is 0.2.
The probability of getting a white ball is 0.5.
(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,
1 - (0.2 + 0.5)
= 0.3
(a) The probability of getting white balls can be written as,
P (white ball) = Number of white balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 5 ÷ 0.5
= 10
Similarly, for black balls it can be written that,
P (black ball) = Number of black balls ÷ Total number of balls
Substitute all the given values to get,
Number of black balls = 10 × 0.2
= 2
(c) When number of red balls are three then,
P (red ball) = Number of red balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 3 ÷ 0.3
= 10.
Hence, the answers for all the parts are 0.3, 2 and 10 respectively.
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What is the equation of this line *
Answer:
I would have to see the line to answer the question.
There are 276 nickels. How many whole dollars can be made from this and how many nickels are left over?
Answer:
C:$13. 16 nickles left
Step-by-step explanation:
i know i took this test to on time4learning
I need help!!
If any boady could tell me the awnswer that would be great
Answer:
1/4 and 3/8 = 2/8 and 3/8
1/4 and 1/2 = 1/4 and 2/4
2/16 ad 3/8 = 2/16 and 6/16
1/4 and 2/16 = 4/16 and 2/16
1/2 and 3/8 = 4/8 and 3/8
Step-by-step explanation:
Answer:
The first box goes with the third bottom box. The second box goes with the 5th bottom box. The third box goes with the first bottom box. The fourth box goes with the fourth bottom box. Lastly the 5th box goes with the second bottom box.
Hope this helps
"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False
Answer:
This is True
Step-by-step explanation:
I know this because it is like dividing you just divide 15 by 5 and the it will be equal
Please help! I also don’t understand a). My friend did it for me when I wasn’t looking so if you could explain that too, that’s be great
Answer:
a) 45
b) No. AD and BC arent parallel.
Step-by-step explanation:
a)
3x + 2x + x + 90 = 360
6x = 270
x = 45
Hope you could understand.
If you have any query, feel free to ask.
If you take a sample of 9 pacemakers from the company, what is the probability that the mean lifetime of components in this sample will be longer than 99 months
Using the normal distribution and the central limit theorem, it is found that there is a 0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 9 years, hence, in months, [tex]\mu = 9(12) = 108[/tex]The standard deviation is of 1 year, hence, in months, [tex]\sigma = 12[/tex].Sample of 9 pacemakers, hence [tex]n = 9, s = \frac{12}{\sqrt{9}} = 4[/tex].The probability is 1 subtracted by the p-value of Z when X = 99, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{99 - 108}{4}[/tex]
[tex]Z = -2.25[/tex]
[tex]Z = -2.25[/tex] has a p-value of 0.0122.
1 - 0.0122 = 0.9878.
0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.
A similar problem is given at https://brainly.com/question/24663213
If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors
Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques
Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
What is confidence interval?
Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.
We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.
Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
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if a:b=3:4 and b:c=2:5 find i)a:c and II) a:b:c
Answer:
a:c= 3/5 = 0.6
a:b:c= 3/4/5=0.15
Which of the following fractions has a repeating decimal expansion (other than repeating zero)
A 17/20
B 17/25
C 17/3
D 17/22
Answer:
C
Step-by-step explanation:
→ Immediately remove option A and B from the list as they convert to non recurring decimals
Option C or D are both recurring
If m<8= x°, which angles have a measure of 180º – xº? Select all that apply.
<3
<4
<6
<10
Answer:
∠6, ∠10
Step-by-step explanation:
Apparently, we are to assume that the avenues are parallel.
The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.
Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.
_____
Additional comment
It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.
During lunch, Mr. Lee eats a piece of chicken that contains 9 1/9 grams of protein, and Mr. Scott eats a piece of salmon that contains 7 1/7 grams of protein. How much more protein did Mr. Lee eat at lunch?
Answer:
Mr. Lee ate [tex]1\frac{61}{63}[/tex] more protein than Mr. Scott
Step-by-step explanation:
Find the least common denominator for both fractions.
9: 9, 18, 27, 36, 45, 54, 63
7: 7, 14, 21, 28, 35, 42, 49, 56, 63
Multiply 1/9 by 7/7:
[tex]9 \frac{1}{9} = 9 \frac{7}{56} \\[/tex]
Multiply 1/7 by 9/9:
[tex]7\frac{1}{7} = 7\frac{9}{63}[/tex]
Subtract the two fractions:
[tex]9\frac{7}{63} - 7\frac{9}{63} = 1\frac{61}{63}[/tex]
what is the first step in solving problem using GMDAS?
Answer:
D
Step-by-step explanation:
Gemdas-this means grouping
exponent, multiplication, Division,addition,
and subtraction order of operations
Sana tama HAHAHAHA
If you type 75 words in 3 minutes at what rate do you type?
help meeeee it's some math stuffff
Find the slope of the line that passes through each pair of points (-7,-6) (3, -6)
Answer:
0
Step-by-step explanation:
Slope = Change in Y/Change in X
Slope = -6 - (-6)/3 - (-7)
Slope = 0/10
Slope = 0
This is a horizontal line
-Chetan K
Answer:
Let (-7, -6) be (x1, y1)
and (3, -6) be (x2, y2)
The slope can be found with [tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute in values:
[tex]\frac{-6-(-6)}{3-(-7)} =0[/tex]
The slope is 0. (It is a horizontal line.)
20 points
Please help me with these questions I am being timed
Answer the picture ones too please
Simplify:
(-8 + 35) + |-16 + 4|
Answer:
do I need to answer the questions in every pic?
Answer:
open the ones in bracket first
(_6)2 = _ 36
Step-by-step explanation:
so there fore 26.08 + (- 36) + 3.4 - 8.9 ÷ 9
open bracket by multiplying the signs
which implies
26.08 - 36 + (3.4 - 8.9) ÷ 9
- 9 .92 + (- 5.5) ÷ 9
open brackets by multiplying the signs
-9.92 - 5.5 ÷ 9
- 15.42 ÷ 9
which will give -1.713 approximately
Please help thankssssss
[tex]0,2a^{2}b^3 . (-5a^3b)^2 = 0,2a^{2}b^3 . 25a^6b^2 = 5a^8 b^5[/tex]
ok done. Thank to me :>
I need help with my Geometry. Can you help?
Thanks.
Answer:
1. 32 units
2. C(-15, -4) and D(17, -4)
Step-by-step explanation:
1.The midpoint divides CD into two segments that are the same length:
CM = MD
8(x -2) = 4(5x -16)
8x -16 = 20x -64 . . . eliminate parentheses
48 = 12x . . . . . . . . . add 64 -8x
x = 4 . . . . . . . . . . . divide by 12
Then the length of CD is ...
CD = 2·CM = 2(8(x -2)) = 2(8(4-2))
CD = 32
__
2.If we put C and D on the same horizontal line as M, their coordinates are ...
C = M -(16, 0) = (1,-4) -(16, 0) = (-15, -4)
D = M +(16, 0) = (1, -4) +(16, 0) = (17, -4)
Coordinates C and D that have M(1, -4) as a midpoint are ...
C(-15, -4) and D(17, -4).
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!
Answer:
2,1
Step-by-step explanation:
The arithmetic mean of the heights of five pupils in a class is 164cm if another pupil whose height is 168cm joins the class, calculate the arithmetic mean of the heights of the 6 pupils
Answer:
164.67 cm
Step-by-step explanation:
The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,
[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]
On solving ,
[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]
When a student of height 168cm is added ,
[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]
[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]
Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?
Answer:
3 PERCENT
Step-by-step explanation:
I DID THE QUIZ
please help me please
Picture has it Solving Quadratics & Other Equations
Answer: p=6 and r=8
Step-by-step explanation:
A) Add exponents when multiplying: [tex]x^{4}[/tex] * [tex]x^{2}[/tex] = [tex]x^{6}[/tex] p = 6
B) Multiply exponents when raised to a power: r = 8
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 8 to 5. if there were 7332 total votes, how many no were there?
Answer:
2820 no votes
Step-by-step explanation:
The fraction of votes that were 'no' is ...
no/total = (5)/(8+5) = 5/13
The number of votes that were 'no' is ...
(5/13)(7332) = 2820 . . . no votes
Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible
Answer:
She lives in the Southern Hemisphere.
Step-by-step explanation:
Use the following function rule to find f(0).
f(x)= 12(9)^x
f(0) =
Answer:
12
Step-by-step explanation:
f(0)=12(9)^0
(9)^0=1
f(0)=12(1)=12
[tex]f(x) = 12 \cdot 9^x\\\\f(0) = 12 \cdot 9^0 = 12 \cdot 1 =12[/tex]
A train has an odd number of cars. The number of cars Is greater than 1 and less than 9
Please help me I don’t know how to solve this
|-4-r|=4
Answer:
r = 0 and r = -8
Step-by-step explanation:
|-4-r|=4
-4 = -4-r = 4
0 = - r = 8
0 = r = -8
When you have absolute value signs, to get rid of the absolute value signs and find the value of the term, you simply add another eqaul sign (=), and add a negative in front (- =). If it is already set to equal a negative, there isn't any solution.
|x| = 4
-4 = x = 4
So x would equal 4 and -4 for this example.
Another example:
|x|=-5
Because it's equal to a negative, the solution is automatically no solution.
The actual answer is r = 0 and r = -8
❓ x 2 1/2 = 15/16 super easy question :)
Step-by-step explanation:
x* 2½ = 15/16
x * 5/2 = 15/16
x = 15/16*2/5
x = 3/8
Answer:
3/8
Step-by-step explanation: