Answer:
second marble is blue and first marble is white is [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
given data
two marbles
box = 1 blue, 3 white, 2 green, and 2 red marbles
solution
we get here second marble is blue and given that the first marble is white
= P(3c1 × 1c1) ÷ P(3c1 × 7c1) ................................................1
= 1c1 ÷ 7c1
= 1 ÷ 7
so second marble is blue and first marble is white is [tex]\frac{1}{7}[/tex]
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
Answer:
Discriminant=8
Step-by-step explanation:
-x²+4x-2=0
here a=-1,b=4 and c=-2
Discriminant=b²-4ac
Discriminant=(4)²-4(-1)(-2)
Discriminant=16-8
Discriminant=8
i hope this will help you :)
what is the slope of a line of duty hat is parallel to the line whose equation is 5y+2x=12
Answer:
-2/5
Step-by-step explanation:
The slope of two parallel lines will be the same.
Here, our equation is 5y + 2x = 12. Let's find the slope by isolating y:
5y + 2x = 12
5y = -2x + 12
y = (-2/5)x + 12/5
So, the slope is -2/5.
Thus, the slope of the line parallel to the given one will be -2/5.
~ an aesthetics lover
Answer:
-2/5
Step-by-step explanation:
5y+2x=12
Solve for y
Subtract 2x
5y = -2x+12
Divide by 5
5y/5 = -2/5 x +12/5
y = -2/5x +12/5
The slope is -2/5
Parallel lines have the same slope
A. No, because it fails the vertical line test.
B. Yes, because it passes the vertical line test.
C. Yes, because it passes the horizontal line test.
D. No, because it is not a straight line.
Answer:
B. Yes, because it passes the vertical line test.
Step-by-step explanation:
The is a function. It has a one to one correspondence
It will pass the vertical line test
REALLY NEED HELP PLS
CAN U HELP Xx
Answer:
0
Step-by-step explanation:
There are no green counters in the bag.
Which best compares the volumes of the two cylinders? Geometry
Answer:
The correct answer would be C
Step-by-step explanation:
please mark brainliest
The choice which best compares the volume of the cylinders is; Choice B; The volume of cylinder B is the same as that of cylinder A.
Which best compares the volumes of the two cylinders?From geometry, It can be concluded that the volume of a solid shape is the product of its cross sectional area and the height over which the area spans. On this note, since the volume of a cylinder is dependent on the radius and height of the cylinder, both cylinders have equal volumes.
Read more on cylinders;
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Jaleel and Lisa are simplifying the expression 2 (x minus 2) + 2 as shown. Jaleel’s Method 2 (x minus 2) + 2 = 2 x minus 4 + 2 = 2 x minus 2 Lisa’s Method 2 (x minus 2) + 2 = 2 x minus 2 + 2 = 2 x Whose method is correct and why? Lisa’s method is correct because 2 (x minus 2) equals 2 x minus 2. Lisa’s method is correct because 2 (x minus 2) equals 2 x. Jaleel is correct because 2 (x minus 2) equals 2 x minus 2. Jaleel is correct because 2 (x minus 2) equals 2 x minus 4.
Answer:
(D)Jaleel's method is correct because 2(x-2)=2x-4.
Step-by-step explanation:
Jaleel and Lisa are simplifying the expression 2(x-2)+2 as shown.
[tex]J$aleel's Method: \left\{\begin{array}{ccc}2 (x -2) + 2 \\= 2 x - 4 + 2 \\= 2 x - 2\end{array}\right[/tex]
[tex]L$isa's Method: \left\{\begin{array}{ccc}2 (x-2) + 2 \\= 2 x -2 + 2 \\= 2 x\end{array}\right[/tex]
We can see that Jaleel's method is correct because:
2(x-2)=2x-4.
When you expand, you must multiply the term outside by all the terms inside the bracket.
The correct option is D.
Answer:
Jaleel is correct because 2 (x minus 2) equals 2 x minus 4.
D is correct
Step-by-step explanation:
i just took the quiz.
Jose's school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can
get at least 25% of the student population to sign a petition So far, 82 students have signed the petition Jose used the
following steps to write an inequality that can be used to determine the number of student signatures still needed
Step 1 Declare the variable: Let x = the number of student signatures still needed
total number of signatures needed X+82
Step 2 Create a ratio equivalent to total number of students in the school
Step 3 Convert 25% to a decimal 25% = 0.25
X+82
Step 4 Write the inequality 726 50.25
426
What is Jose's error?
In Step 1, x should be equal to the total number of students in the school,
O In Step 2, the ratio should be 426
In Step 3, the decimal should be 0.025.
X+82
In Step 4, the inequality should be 426 2025
Mark this and retum
Save and Exit
Next
Submit
Answer:
D) In Step 4, the inequality should be x+82/426 is at least 0.25Step-by-step explanation:
The error that Jose makes in the given expression is that:
D). In Step 4, the inequality should be x+82/426 a minimum of 0.25.
Find the variableGiven that,
Step 1:
Assuming [tex]x[/tex] as the variable to denote the no. of signatures from the students.
Step 2:
[tex](x + 82)/426[/tex] which is correct because it displays the ratio equivalently regarding the number of signatures needed upon the total students present in the school.
Step 3:
This also correctly displays the decimal form of 25% is [tex]0.25[/tex]
Step 4:
This displays an error because to make this inequality Jose requires a minimum of 25% or 0.25 but he gets:
[tex](x + 82)/426[/tex] [tex]\leq[/tex] [tex]0.25[/tex]
Thus, option D is the correct answer.
Learn more about "Variable" here:
brainly.com/question/787279
The Foot Locker is having a 60% off sale on shorts. John paid $18 for a pair of shorts. What was the original price of the shorts?
Answer:
$30 is the price of the original pair of sneakers.
Step-by-step explanation:
You wanna cross multiply so you put :
18. 60
_ = _
x. 100
You multiply 18 the cost of the sneakers by 100 and then divide the product (1800) by 60 and you get $30.
MARK ME AS BRAINLIEST!
You arrive in Montreal with $420. How many Canadian dollars can you buy? Currency Dollars per Foreign Foreign per Dollar British pound 1.414 0.7072 Canadian dollar 0.7834 1.277 European euro 1.256 0.7965 Japanese yen 0.01007 99.34 Mexican peso 0.06584 15.19 You can buy nothing Canadian dollars with $420. (Simplify your answer. Round to two decimal places as needed.)
Answer:
$420 U.S. dollars = $570.25 Canadian dollars
1 U.S. dollar = 1.36 Canadian dollars
Therefore, to find the answer you would multiply $420 by 1.36.
Please answer this correctly
There are 6 total cards. There is one 5 and one 7
You have a 1/6 probability of picking each number.
The probability of picking the 5 then the 7 would be 1/6 x 1/6 = 1/36
An arhaeologist, exploring the pyramids
of Africa, discovers a mummy. He finds
that it contains 53 % of original amount
of C-14. Find age of the mummy.
Answer:
5249 years
Step-by-step explanation:
Half-Life of Carbon-14 is approximately 5730 years.
When we want to determine the age of a fossil using carbon dating, we use the formula:
[tex]t=\dfrac{\ln(N/N_0)}{-0.693} \cdot t_{1/2}[/tex]
Where:
[tex]t_{1/2}[/tex] is the half-life of the isotope carbon 14, t = age of the fossil (or the date of death) and ln() is the natural logarithm functionIn this case:
N(t)=100
[tex]N_o=53\\t_{1/2}\approx 5730$ years[/tex]
Therefore, the age of the mummy
[tex]t=\dfrac{\ln(53/100)}{-0.693} \cdot 5730\\=5249.43$ years\\t \approx 5249$ years[/tex]
Answer:
the answer is 6349 :)
Step-by-step explanation:
Someone put the correct answer in the comments so I figured I would put it here so you wouldn't miss it :) (It is correct I have tested it)
What is the answer? ACB ~ EFD
Answer:
z = 60°
Step-by-step explanation:
In ΔABC
Sum of all angles of triangle = 180
65 + 55 +∠A = 180
120 +∠A = 180
∠A = 180 - 120
∠A = 60
In similar triangles, corresponding angles are congruent
z = ∠A
z = 60°
if you make $2710.00 a month and must spend 89% of that on recurring and variable expenses, how much money can you potentially save in one year?
Answer:
$3577.20
Step-by-step explanation:
You can save 11% of your income each month, so in 12 months, you can save ...
12×0.11×$2710 = $3577.20
Recall the equation that modeled the volume of the raised flower bed, y, in terms of the width of the box, y = x3 + 11x2 − 312x. Now, open the graphing tool and graph the equation. Remember, this equation represents the volume of a flower box, so neither the width nor the volume can be negative. Using the pointer, determine the x-intercept where the width is positive and the volume will change to positive as x increases.
Answer:
x = 17.349
Step-by-step explanation:
The right-most x-intercept is 17.349, where the curve continues upward to the right.
The U.S. Department of Agriculture (USDA) uses sample surveys to obtain important economic estimates. One USDA pilot study estimated the price received by farmers for corn sold in January from a sample of 20 farms. The mean price was reported as $3.64 per bushel with a standard deviation of $0.0835 per bushel. Give a 95% confidence interval for the mean price received by farmers for corn sold in January.
Answer:
{$3.60; $3.68}
Step-by-step explanation:
The confidence interval for a sample of size 'n', with mean price 'X' and standard deviation 's' is determined by:
[tex]X\pm z*\frac{s}{\sqrt n}[/tex]
The z-score for a 95% confidence interval is 1.96.
Applying the given data, the lower and upper bounds of the confidence interval are:
[tex]3.64\pm 1.96*\frac{0.0835}{\sqrt 20} \\L=\$3.60\\U=\$3.68[/tex]
The confidence interval for the mean price received by farmers for corn sold in January is:
CI : {$3.60; $3.68}
Please find the missing side of the triangle and round the answer to the nearest tenth. Thanks.
Answer:
x = 74.3
Step-by-step explanation:
Using the trigonometric ratio formula, the missing side, x, of the right angled triangle, can be found as follows:
Ѳ = 22°,
adjacent side length = x
Opposite side length = 30
Thus, we would apply the formula:
tan Ѳ = opposite length/adjacent length
[tex] tan 22 = \frac{30}{x} [/tex]
Multiply both sides by x
[tex] tan 22*x = \frac{30}{x}*x [/tex]
[tex] tan 22*x = 30 [/tex]
[tex] 0.4040*x = 30 [/tex]
Divide both sides by 0.4040 to make x the subject of the formula
[tex] \frac{0.4040*x}{0.4040} = \frac{30}{0.4040} [/tex]
[tex] x = \frac{30}{0.4040} [/tex]
[tex] x = 74.26 [/tex]
x ≈ 74.3 (to the nearest tenth)
What is the value of p?
Answer:
Step-by-step explanation:
The angle next to 90 degrees is also 90 degrees and it's supplementary
the angle next to 133 degrees is 47 degrees and it's also supplementary
p + 90 + 47 = 180
p + 137 = 180
p = 43 degrees
the solution is d
Find the slope through each pair of two points. Report answers in simplest form.
(0,0) and (0.5,0.25)
m =
Answer:
m = 0.5
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (0.25 - 0) / (0.5 - 0)
= 0.25/0.5
= 0.5
Perform the indicated operation and simplify the result.
Answer:
7/ (3a-1)
Step-by-step explanation:
3a^2 -13a +4 28+7a
------------------ * --------------------
9a^2 -6a+1 a^2 -16
Factor
(3a-1)(a-4) 7(4+a)
------------------ * --------------------
(3a-1) (3a-1) (a-4)(a+4)
Cancel like terms
1 7
------------------ * --------------------
(3a-1) 1
Leaving
7/ (3a-1)
What statement is true? Use the number line to help
Answer:
-2 is greater than -2 1/2
Step-by-step explanation:
All the other questions are false and only answer a is correct because -2 is closer to 0 than -2 1/2.
Answer:
-2 is greater than -2.5Step-by-step explanation:
B is wrong. This is because when you look on the number like you can see that the option for 1.5 is greater than one is false. This is because 1.5 is ahead of the 1 on the number line.
C is wrong. This is because the number 1 is greater than -1.5. The number one is ahead of the number -1.5.
D is wrong. D is wrong because when a smaller number is negative then it is bigger than a larger number that is negative. So -1.5 is smaller than -0.5.
So the answer is A. -2 is greater than -2.5. It can be proved because of the rule written that a smaller number is negative then it is bigger than a larger number that is negative. So -2.5 is smaller than -2. And the reciprocal is true. -2 is larger than -2.5.
Hope this helped,
Kavitha
Give a recursive definition of each of these sets of ordered pairs of positive integers. (Hint: plot the points in the set in the plane and look for lines containing points in the set. 1. S={(a, b) I a E Z+, b Ñ Z+ , and a | b}2. S={(a, b) I a E Z+, b Ñ Z+ , and 3 | a + b} 3. S={(a, b) | a Ñ Z+ , b Ñ Z+ , and a + b is odd) a) (1,2) S, (2, 1) E S and if (a, b) S then (a + 2, b) E S, (a, b + 2) E S and (a + 1, b + 1) E S b) (1,2) es, (2, 1) Ñ Sand if (a, b) Ñ S then (a + 3, b) Ñ s, (a, b + 3) Ñ s, (a+1, b + 2) ES and (a + 2, b + 1) Ñ s c) (1,1) Ñ Sand if (a, a) Ñ Sthen (a + 1, a + 1) Ñ S and if (a, b) Ñ S, then (a, b + a) Ñ s
Answer:
1. s=gfcgj sdgc
gzgixxhcxc
vxtuixzdfhvxxgjknn
jfhujhgcxvjkmvcghj
mvhuiknbb5542698755
8423675369
8823
What is the solution to the system of equations?
y = 3x - 10
h
2x + y = 4
04-8. 6)
O (-6, 16)
O (6.-8)
O (16.-6)
Answer:
The answer is option C
y = 1/3x - 10 ........ 1
2x + y = 4 .......... 2
Substitute the first equation into the second one
That's
2x + 1/3x - 10 = 4
7/3x = 14
Multiply through by 3
That's
7x = 42
Divide both sides by 7
x = 6
Substitute x = 6 into any of the Equations
y = 1/3x - 10
y = 1/3(6) - 10
y = 2 - 10
y = - 8
Therefore
x = 6 y = - 8
Hope this helps
The decay constant for 14C is 0.00012. A 4050-year-old wooden chest is found by archaeologists. What percentage of the original 14C would you expect to find in the wooden chest? (Express your answer as a percentage rounded to one decimal place.)
Answer:
The radioactive decay constant or k = ln (.5) / Half-Life
Half-Life = -.693147 / .00012
Half-Life = -5,776.225 years
We'll call beginning amount as 100%
Ending Amount = Beginning Amount / 2^n (where n = # of half-lives)
n = 4,050 / 5,776.225 = 0.7011499725
Ending Amount = 100% / 2^0.7011499725
Ending Amount = 100% / 1.625800202
Ending Amount = 61.5081729452%
Ending Amount = 61.5 % (rounded)
Step-by-step explanation:
the triangle shown below has an area of 16 units squared
Answer:
its 8
Step-by-step explanation:
I did it good luck for the rest of the questions!
A population of monkeys' tail lengths is normally distributed with a mean of 25 cm with a standard deviation of 8 cm. I am preparing to take a sample of size 256 from this population, and record the tail length of each monkey in my sample. What is the probability that the mean of my sample will be between 24 and 25 cm?
Answer:
The probability that the mean of my sample will be between 24 and 25 cm
P(24 ≤X⁻≤25) = 0.4772
Step-by-step explanation:
Step(i):-
Given mean of the Population 'μ'= 25c.m
Given standard deviation of the Population 'σ' = 8c.m
Given sample size 'n' = 256
Let X₁ = 24
[tex]Z_{1} = \frac{x_{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{24-25}{\frac{8}{\sqrt{256} } } = -2[/tex]
Let X₂ = 25
[tex]Z_{2} = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0[/tex]
Step(ii):-
The probability that the mean of my sample will be between 24 and 25 cm
P(24 ≤X⁻≤25) = P(-2≤ Z ≤0)
= P( Z≤0) - P(Z≤-2)
= 0.5 + A(0) - (0.5- A(-2))
= A(0) + A(2) ( ∵A(-2) =A(2)
= 0.000+ 0.4772
= 0.4772
Final answer:-
The probability that the mean of my sample will be between 24 and 25 cm
P(24 ≤X⁻≤25) = 0.4772
empt 1
Find the equation in slope-intercept form of a line with slope - 2 and y-intercept 4.
a) y = -2x
Ob) y - 2x-4
c) y = -2x+4
d) y - 4x -2
Question 12 (5 points)
Answer:
y = -2x +4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x +4
A smart phone manufacturer is interested in constructing a 99% confidence interval for the proportion of smart phones that break before the warranty expires. 97 of the 1750 randomly selected smart phones broke before the warranty expired. Round your answers to three decimal places. A. With 99% confidence the proportion of all smart phones that break before the warranty expires is between and .
Answer:
With 99% confidence the proportion of all smart phones that break before the warranty expires is between 0.041 and 0.069.
Step-by-step explanation:
We have to calculate a 99% confidence interval for the proportion.
The sample proportion is p=0.055.
[tex]p=X/n=97/1750=0.055[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.055*0.945}{1750}}\\\\\\ \sigma_p=\sqrt{0.00003}=0.005[/tex]
The critical z-value for a 99% confidence interval is z=2.576.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_p=2.576 \cdot 0.005=0.014[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=p-z \cdot \sigma_p = 0.055-0.014=0.041\\\\UL=p+z \cdot \sigma_p = 0.055+0.014=0.069[/tex]
The 99% confidence interval for the population proportion is (0.041, 0.069).
Answer the following True or False:
If the p-value is 0.13 and the level of significance , a , is 0.05 in a hypothesis test for a mean, then we
accept the null hypothesis.
O false
O true
Answer:
false.
I think .???
a null hypothesis doesn't matter regardless
Please answer this question now in two minutes
Answer:
the slope equation is y2 - y1 divided by x2 - x1
Step-by-step explanation:
so the answer would be 3 over 2 because of this method
Answer:
3/2
Step-by-step explanation:
Use the easy rise over run method.
start at the point (50,20) then go up 3 units and 2 units to the right to get the next point.
3/2 should be the slope.
Hope I helped you!
Identify the statement as true or false.
New Jersey is a state if and only if Florida is not a state.
Is the statement true or false?
O true
O false