Benjamin has 10 markers in total, consisting of 2/3 pastel, 1/3 not pastel, 3/9 bold, and the rest neon. He has 5 neon markers.
We need to start by figuring out how many markers Benjamin has in total. We know that 2/3 of the markers are pastel, which means that 1/3 of the markers are not pastel. So, if we let x be the total number of markers, we can set up the equation:
1/3x = 10 - (2/3x)
1/3x = 10 - 2/3x
1x = 30 - 2x
3x = 30
x = 10
So, Benjamin has 10 markers in total. Now we need to figure out how many of them are neon. We know that 2/3 of the markers are pastel, which means that 1/3 of them are not pastel. So, 1/3 of 10 markers is 3.33 markers, but since we can't have a fraction of a marker, we know that 3 markers are not pastel.
Now, we need to figure out how many of the remaining 7 markers are bold. We know that 3/9 of them are bold, which simplifies to 1/3. So, 1/3 of 7 markers is 2.33 markers, but again, we can't have a fraction of a marker, so we know that 2 markers are bold.
Finally, we can figure out how many markers are neon. We know that Benjamin has 10 markers in total, and we know that 3 of them are not pastel and 2 of them are bold. So, the remaining 5 markers must be neon. Therefore, Benjamin has 5 neon markers.
In summary, Benjamin has 10 markers in total, consisting of 2/3 pastel, 1/3 not pastel, 3/9 bold, and the rest neon. He has 5 neon markers.
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7(x+12)-4 algebraic expression
Answer:
7x+80
Step-by-step explanation:
7(x+12)-4
7x + 84 -4
7x+80
-16>x divided by 2
Solve for x.
Answer:
x < -32
Step-by-step explanation:
The blank is the number that tell how many times a base number is used as a factor
Answer:
exponent
Step-by-step explanation:
need help
with 1.9 more especially
Answer:
1/2 × |AB| × |OE|
Step-by-step explanation:
use the formula for finding the area of a triangle.
Twice a certain number is tripled .
The resulting number is
Answer: 6x
Step-by-step explanation:
so consider x as the number,
twice of x= 2x
2x tripled= 2x*3
= (2*3)x
= 6x
6. A psychology professor of a large class became curious as to whether the students who turned in tests first scored differently from the overall mean on the test. The overall mean score on the test was 75 with a standard deviation of 10; the scores were approximately normally distributed. The mean score for the first 20 students to turn in tests was 78. Using the .05 significance level, was the average test score earned by the first 20 students to turn in their tests significantly different from the overall mean?
Answer: Z is less than Zc ∴ 1.342 < 1.96
Therefore, Null hypothesis is not Rejected.
There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.
Step-by-step explanation:
Given that;
U = 75
X = 78
standard deviation α = 10
sample size n = 20
population is normally distributed
PROBLEM is to test
H₀ : U = 75
H₁ : U ≠ 75
TEST STATISTIC
since we know the standard deviation
Z = (X - U) / ( α /√n)
Z = ( 78 - 75 ) / ( 10 / √20)
Z = 1.3416 ≈ 1.342
Now suppose we need to test at ∝ = 0.05 level of significance,
Then Rejection region for the two tailed test is Zc = 1.96
∴ Reject H₀ if Z > Zc
and we know that Z is less than Zc ∴ 1.342 < 1.96
Therefore, Null hypothesis is not Rejected.
There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.
Testing the hypothesis, it is found that since the p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.
At the null hypothesis, we test if the mean is of 75, that is:
\(H_0: \mu = 75\)
At the alternative hypothesis, we test if the mean is different of 75, that is:
\(H_1: \mu \neq 75\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which:
X is the sample mean.\(\mu\) is the value tested at the null hypothesis.\(\sigma\) is the standard deviation.n is the size of the sample.For this problem, we have that:
\(X = 78, \mu = 75, \sigma = 10, n = 20\)
The value of the test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{78 - 75}{\frac{10}{\sqrt{20}}}\)
\(z = 1.34\)
Since this is a two-tailed test, the p-value of the test is P(|z| < 1.34), which is 2 multiplied by the p-value of z = -1.34.
Looking at the z-table, z = -1.34 has a p-value of 0.0901.
2(0.0901) = 0.1802
The p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.
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20
20 (a)
20 (b)
Jose and Maria each take a test.
The probability that Jose passes is 0.8
The probability that Maria passes is 0.4
Complete the tree diagram.
Jose
0.8
0.2
pass
20
not
pass
Work out the probability that they both pass.
Maria
0.4
016
pass
not
pass
pass
not
pass
[2 marks)
[1 mark]
The complete sequence is:
Now, Jose probabilitypass probability = 0.8
non- pass probability = 0.2
and, for Mariapass probability = 0.4
non- pass probability = 0.6
pass probability = 0.96non- pass probability = 0.04
what is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given:
The probability that Jose passes is 0.8
The probability that Maria passes is 0.4
Now, Jose probability
pass probability = 0.8
non- pass probability = 0.2
and, for Maria
pass probability = 0.4
non- pass probability = 0.6
Now, further dividing the non- pass probability for Jose
pass probability = 0.96
non- pass probability = 0.04
This is done in the aspect of the sum of pass and non -pass probability should be 1.
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Which of the following statements is true?
25 : 35 = 45 :55 =
105 : 30 = 49 : 64 =
45 : 48 = 60 : 64 =
2/3 : 7/9 = 3/4 : 5/6 =
4.2 : 12.6 = 1.5 : 4.5 =
12 : 18 = 28 : 12 =
Answer:
3
Step-by-step explanation:
45*64=2880
48*60=2880
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are girls?
Answer:
20 girls
Step-by-step explanation:
boys : girls : total
3 5 3+5 = 8
There are 32 students
32/8 = 4
Multiply each term by 4
boys : girls : total
3*4 5*4 8*4
12 20 32
There are 20 girls
Answer: 20 girls
Step-by-step explanation:
So boys to girls is 3 to 5
It asks for girls in class
Suppose there were 8 people in class, 5/8 of the people would be girls
It states that 32 people are in the class, so do 32 x 5/8 to get 20 girls
how much is 6 dimes 3 nickels and 1 quarter
Answer:
$1.00
Step-by-step explanation:
Dimes = 10 / Nickels = 5 / Quarters = 25
6(10) + 3(5) + 1(25)
60 + 15 + 25 = 100 so that makes it $1.00
pls help me, will give brainliest.
Answer: i am almost positive its (A)
i really hope im not wrong because this answer is the only one that has a stable rising action going up by the same number it did with the number before it. if its not right then your other option is (D)
Step-by-step explanation:
Answer:
the guy above me is right. i had this question and i was confused to and i just guessed that it goes by the way the numbers rise. therefore the answer is indeed (A)
Step-by-step explanation:
give him brainliest cause i just confirmed that he is right but i didn't actually know this. he put more effort in the question than me
What is the value of the expression 29-|7-11|
Answer: 25
Step-by-step explanation:
29-|7-11|
29-|-4|
29-4
25
The value of 29 - |7 - 11| = 25
We have the following expression -
29 - |7 - 11|
We have to find its value.
Find the value of the expression -X + | \(\pi\)Y | where Y < 0We have -
X + | \(\pi\)Y |
Since Y < 0 - therefore \(\pi\)Y < 0
Now -
|a| = - a { for a < 0}
Therefore -
X - \(\pi\)Y
According to the question, we have -
29 - |7 - 11|
29 - | -4 |
29 - 4
25
Hence, the value of 29 - |7 - 11| = 25
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John earned $400 interest at a rate of 6% for 3 years how much money did John originally invest
John earned $400 interest at a rate of 6% for 3 years. Therefore, the amount of money John originally invested was $2,222.22.
We are able to use the Simple interest formula to resolve this problem:
Simple interest is a simple concept in finance that is used to calculate the interest earned or paid on a essential amount over a positive time period.
Simple interest = (principal x charge x time)
Given that John earned $400 in interest at a price of 6% for three years, we are able to set up the equation as:
400 = (P x 0.06 x 3)
In which P is the principal (the original amount invested).
Simplifying this equation, we get:
400 = 0.18P
Dividing both facets through 0.18, we get:
P = $2,222.22
Thus, John originally invested $2,222.22.
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Please help me fill in the blank! Thank you!!
Answer:
The fraction of 6% is 6/10 and the model is 10 squares and only color 6 of them
YOU WELCOME :)
Answer:the fraction of 6% is 6/10
Step-by-step explanation:and the model is 10 squares and only color 6 of them
show your solution
find the 6 and 7 term
Answer:
1/6 and 1/7
Step-by-step explanation:
1/6 and 1/7
As we can see the denominator keeps increasing by 1 but the numerator stays as 1 :
1/1 or 1 is the first term
1/2 is the 2nd term
1/3 is the 3rd term
So :
1/6 is the 6th term
and 1/7 is the 7th term
The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, \(\mu\) = 48 monthsStandard deviation, \(\sigma\) = 8 monthsThe z-score is then computed as follows:
\(z=\frac{x-\mu}{\sigma}\)We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
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What is a concave hexagon with 2 pairs of congruent sides?
A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.
A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,
it means that four of its sides have the same length, if the shape curves inward at one or more angles,
it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.
Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.
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find the area of the region that is bounded above by the curve f(x)=(x 8)2 and the line g(x)=−x−2 and bounded below by the x-axis.
The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is the definite integral of f(x)-g(x) from -2 to 8.
The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is given by the definite integral of f(x)-g(x) from -2 to 8. First, expand f(x) and g(x) to get f(x)=x^2-16x+64 and g(x)=-x-2. Then, subtract g(x) from f(x) to get f(x)-g(x)=x^2-16x+66. This is the equation of the area of the region. To calculate the area, use the definite integral of f(x)-g(x) from -2 to 8. This is equivalent to the integral from -2 to 8 of x^2-16x+66 dx. After integrating, the area is given by the expression (x^3/3)-8x^2+66x from -2 to 8, which is equal to 1176/3 units^2. Therefore, the area of the region bounded by f(x), g(x) and the x-axis is 1176/3 units^2.
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iota power 2 is equal to
Answer:
-1Step-by-step explanation:
The iota is a complex notation represented by the letter i in complex number.
iota power 2 can also be written as;
i^2
In complex number, the square root of -1 is iota. This can be expressed as;
\(\sqrt{-1} = i\)
Take the square of both sides
\((\sqrt{-1})^2 = i^2\\-1 = i^2\\Rearrange\\i^2 = -1\)
Hence the iota power 2 is equal to -1
The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
To solve the equation t? - t = 12 by factoring, you would use
t(t - 1) = 12
Ott - 1) - 12 = 0
(t - 4)(t + 3) = 0
Answer:
it is what it is
Step-by-step explanation:
Convert 250 m to km
.......
Answer:
0.25km
Step-by-step explanation:
km = 1000m
250/1000 = 0.25
Answer:
0.25 km
Step-by-step explanation:
1 km = 1000 m
250 ÷1000 = 0.25 km
What is the value of t in this equation?
Answer:
t = 60
Step-by-step explanation:
Exponents by the power of another exponent multiply.
-12 · -5 = 60
So in this instance, the value of t would be 60.
NEED HELP IMMEDIATELY. I WILL BRAINLIEST
Answer:
Equation 2: \(y=-x^2-2\)
The strategy i used to make this equation is to make graph the parent equation and see what changes are to be made in order to get the needed answer.
Step-by-step explanation:
Well a normal parent parabola function is \(y=x^2\).
And the parabloa it makes opens up so to make it open down we make it negative to \(y=-x^2\). And to make a negative y intercept we make the y intercept -2.
So the equation is \(y=-x^2-2\).
Which number is irrational
Answer:
\(\sqrt{2}\)
The answer is \(\sqrt{2}\) because it equals an irrational number. ( \(1.41421356237\) )
Hope this helps! <3
\(2x+5\ \textless \ \frac{x+1}{4}\)
Given :-
2x + 5 < x + 1 / 4Solution :-
>> 2x + 5 < x + 1 / 4
>> 4 (2x + 5) < x + 1
>> 4 × (2x + 5) < x + 1
>> 8x + 20 < x + 1
>> 8x - x < 1 - 20
>> 7x < 1 - 20
>> 7x < -19
>> x = -19 / 7
\(\boldsymbol{\sf{2x+5 < \dfrac{x+1}{4} }}\)
Multiply the two sides of the equation by 4. Since 4 is > 0, the direction of inequality remains the same.
\(\boldsymbol{\sf{8x+20 < x+1 }}\)
Resta x en los dos lados.
\(\boldsymbol{\sf{8x+20-x < 1 }}\)
Combine 8x and −x to get 7x.
\(\boldsymbol{\sf{7x+20 < 1 }}\)
Subtract 20 on both sides.
\(\boldsymbol{\sf{7x < 1-20 \ \ \longmapsto \ \ [To \ subtract] }}\)
\(\boldsymbol{\sf{7x < -19 }}\)
Divide the two sides by 7. Since 7 is >0, the direction of inequality remains the same.
\(\boldsymbol{\sf{x < -\dfrac{19}{7} } }\)
As the end result, it is not simplified or divided, then
\(\blue{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ x < -\frac{19}{7} }}}}\)
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https://brainly.com/question/23265395Pleaseeee answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
26°
Step-by-step explanation:
same side same angle
the total of angles in triangle is always 180
How many square feet of outdoor carpet will we need for this hole
11ft
7ft
2ft
3ft
Answer:
you will need 23 square feet because if you add it all up that's what you get
---
The box plot shows the ages of people at a movie screening. What percent of the people are between 20 and 37 years old?
0
5
10 15 20 25 30 35 40 45
between 20 and 37 =
.
LLL
.
il
SELE
TELP
FPS
Answer:
50%
Step-by-step explanation:
The percentage of people between 20 and 37 years old.
From the attached box plot :
Number of people aged up to 20 marks the lower quartile of the distribution = lower 25%
Number of people aged up to 37 marks the upper quartile of the distribution = lower 75%
Hence, percentage number of people aged between 20 and 37 equals
Q3 - Q1 = 75% - 25% = 50%
Which of the following expressions correctly determines that x is greater than 10 and less than 20?
a. 10 < x < 20
b. ( 1 0 < x < 20)
c. 10 < x & & x < 20
d. 10 < x I I x < 20
Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.
What is the correct expression to indicate?The correct expression to indicate that x is greater than 10 and less than 20 is:
a. 10 < x < 20
This is read as "10 is less than x, and x is less than 20." The symbols "<" and ">" indicate "less than" and "greater than," respectively.
Option b is not correct as it uses parentheses instead of the less than/greater than symbols.
Option c is not correct as it uses "&" and "&&" which are not commonly used symbols to indicate less than and greater than.
Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.
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