Answer:
4p-28=44, 4p=44+28, p=72÷4, p=18
What is the better buy? 2 for $3.00 (Or) 8 For $12.40
Answer:I say 8 for $12.40
Step-by-step explanation:
Answer:
8 for 12.50
Step-by-step explanation:
12.50/8 = 1.55
3.00/2= 1.50
youre getting 6 more pens for only 5 cents more
If line q has a slope of -3/8, what is the slope of any line perpendicular to to q?
Answer:
The slope of line perpendicular to line q is 8/3.
Step-by-step explanation:
Given that:
Slope of a line q is -3/8
Slope is the steepness of any line.
Let,
x be the slope of line perpendicular to line q.
The product of slopes of two perpendicular lines is equal to -1.
[tex]\frac{-3}{8}x = -1[/tex]
Multiplying both sides -8/3
[tex]\frac{-8}{3}*\frac{-3}{8}x=-1*\frac{-8}{3}[/tex]
x = 8/3
Hence,
The slope of line perpendicular to line q is 8/3.
Ruben gets $9 allowance each week. He wants to save 4% of this. How much money will he save each week?
Answer:
0.45 cents
Step-by-step explanation:
I think
Answer:
Ans: 9 ÷ 100 × 4 = 0.09 × 4 = 0.036$
This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.
Answer:
JR = 29∠JLM = 25°Step-by-step explanation:
Diagonals of the parallelogram bisect each other
Note. The first question is repeated as A and B
A) KR = 1/2KM
Substitute and solve for x:
x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19Find JR
JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5 = 29B)
∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogramInterior angles of the triangle sum to 180°:
m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°What is 3/5 times 6/5
Answer is 0:72
hope it is helpful
Answer:
18/25
Step-by-step explanation:
a rectangle has an area of 3 3/4 square feet. the length is 1 1/2 . what is the width
Answer:
The answer is 2 1/2
Step-by-step explanation:
First you turn 3 3/4 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator = 4x3=12 +3=15/4.
Then you turn 1 1/2 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator =2x1+1=3/2
15/4 divided by 3/2 but get your answer you have to reverse 3/2 into 2/3 and you multiply instead of dividing .
15/4 x 2/3 =15 x2 = 30 , 4x3=12 so your answer will be 30/12 but it can be simplified because they are both multiple of 6 . So , 30 divided by 6 = 5 and 12 divided by 6 = 2 so then you answer is 5/2 but it is an improper fraction so you divide 5 by 2 and you get 2 and a remainder of 1/2=2 1/2
Factor the quadratic equation 0=15x squared + 39 x-18
Answer:
The factors of given quadratic equation
[tex]x = \frac{9}{15} and x = -2[/tex]
Step-by-step explanation:
Explanation:-
Given quadratic equation 15x² +39 x -18 =0
The factors of 270 = 30 × 9
The quadratic equation 15x² +39 x -18 =0
⇒ 15 x² +30 x-9x -18=0
⇒ 15x(x+2) -9( x+2) =0
⇒( 15x -9)(x+2) = 0
15x - 9=0 and x+2 =0
15 x =9 and x = -2
[tex]x = \frac{9}{15} and x = -2[/tex]
plzzz help I picked A already and it was wrong
Answer:
probably C I'm terrible at math but that look about right
Enter the number that belongs in the green box
PLEASE HELP FAST
There are 20 pieces of fruit in a fruit bowi and 12 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
Answer:60 %
Step-by-step explanation:
if we set up an proportion, [tex]\frac{20}{100}[/tex] =[tex]\frac{12}{x}[/tex] the answer is 60. 100x12=12001200 divded by 20 =60Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer
What type of triangle is triangle ABC?
Give your reasons for your answer:
Answer:
a. Isosceles
b. It has two equal angles
Step-by-step explanation:
✅<DCA = <BAC = 50° (alternate interior angles are congruent)
<ACB = 180 - (<BAC + <ABC) (sum of triangle)
<ACB = 180° - (50° + 80°) (substitution)
<ACB = 50°
✅∆ABC is an isosceles triangle judging from the measure of its three angles. ∆ABC has two equal angles. ∆ABC is therefore an isosceles ∆.
an area of 6 yards is equal to 54 square feet. 9 square yards is equal to how many square feet? explain or show your reasoning
Answer:
81 squared feet
Step-by-step explanation:
-(-10)=?
Please help me with this equation!!
Answer:
+10
positive 10
:))))))))))
Which expression means the same as "25 less that 5y"
Answer:5y-25
Step-by-step explanation:
Answer:
5y - 25
Step-by-step explanation:
that expression shown 25 less than 5y
hope this helps...
Help plz:)))I’ll mark u Brainliest
Answer:
x = 12
Step-by-step explanation:
The sales tax for an item was $36.80 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
16,928
Step-by-step explanation:
just solve it in calculation so you can see the answer
and remember study hard to go to bts concert joke to your dream
algebra what is 6a6 over 2a2=
Answer:
3a^4
Step-by-step explanation:
Simplify the expression.
You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?
Answer:
in 2030 the land will aproxmatly be worth $113750
Step-by-step explanation:
can someone show me the problems to 4/3 x 2/5 and 2/5 divided by 4/3
Answer:
8/15 and 3/10
which of these numbers has exactly two factors, 7,8,9,10
Answer:
It's 7
Step-by-step explanation:
1 and 1/2 divided by 4 and 2/8
Answer:
1.375
Step-by-step explanation:
Answer: 11/2
Step-by-step explanation:
Which point is a solution to the equation 2x - y = 4?
Answer:
2x= 1 /2 y+ 2
Step-by-step explanation:
Solve for x.
2x−y=4
Add y to both sides.
2x−y+y=4+y
2x=y+4
Divide both sides by 2.
2x /2 = y+4 /2
x= 1/ 2 y+2
The required point that is the solution to the equation 2x - y = 4 is at (2, -4)
In order to get the solution to the equation, we will need to get its x and y-intercept.
x- intercept is the point where y is zero.
Given the equation 2x - y = 4
If y = 0
2x - 0 = 4
2x = 4
x = 4/2
x = 2
Get the y-intercept
y intercept is the point where x = 0
if x = 0
2(0) - y = 4
-y = 4
y = -4
Hence the y-intercept is -4
The required point that is the solution to the equation is at (2, -4)
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Olive weights are classified according to a unique set of adjectives implying great size. For example, the mean weight of olives classified as "Colossal" is 7.7 grams. Suppose a particular company’s crop of "Colossal" olives is approximately Normally distributed with a mean of 7.7 grams and a standard deviation of 0.2 grams. Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?
a. 0.0970
b. 0.9953
c. 0.0668
d. 0.0047
e. 0.1932
Answer:
d. 0.0047
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]
Sample of 3:
[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]
Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?
This is 1 subtracted by the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]
[tex]Z = 2.6[/tex]
[tex]Z = 2.6[/tex] has a pvalue of 0.9953
1 - 0.9953 = 0.0047
The probability is given by option d.
You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.
The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by
Option d : 0.0047
How to find the z score for a sample taken from a normal distribution holding random variate?Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:
[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]
where [tex]\overline{x}[/tex] is mean of the sample
s is the standard deviation of the sample,
and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
Using the data given to find the intended probabilityLet the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)
Then, we have:
[tex]X \sim N(7.7, 0.2)[/tex]
where
[tex]\mu = 7.7, \sigma = 0.2[/tex]
Thus, we have:
[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]
Using the given facts, we get the needed probability as:
[tex]P( X> 8)[/tex] sample size n = 3)
Then, using the z score, we get):
[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]
Thus,
The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by
Option d : 0.0047
Learn more about standard normal distribution here:
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9x^2+25 Can someone doble this
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=5.
(3x+5)(3x−5)
Step-by-step explanation:
Need help please and thank you
Answer:
Step-by-step explanation:
-2 2
3(2) -3(2)
Find the solution Y=-3x-5 y=9x+7 and show on graph
Answer:
(-1, -2)
Explanation:
How many different 3-digit numbers can be made using each of these digits shown below only once?
3,6,9
OA 3
O B. 6
Oc. 8
OD 10
O E more than 12
Set up an equation and use it to solve for X
(6x + 3)
33°
9514 1404 393
Answer:
24
Step-by-step explanation:
The angles of a linear pair are supplementary.
(6x +3)° +33° = 180°
6x = 144 . . . . . . . . . . . divide by °, subtract 36
x = 24 . . . . . . . . divide by 6
A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.
Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.
Given :
Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence intervalFirst, determine the degree of freedom.
[tex]df = 27-1=26[/tex]
The determine the confidence interval using the below formula:
[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]
Now, using the chi distribution the above expression becomes:
[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]
Simplify the above expression.
(21.297 ) ; (64.493)
So, the population variance of 95% confidence interval is:
[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]
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