Answer:
The equation is: 9+x=46
The number of compact cars sold in June was: 46-9, or 37
Let me know if this helps!
find the quotient of -7/5÷-9/5
Answer:
7/9
Step-by-step explanation:
-7/5÷-9/5
- cancelled with each other
(7×5)/(9×5)
5 also cancelled with 5
then your answer is 7/9
Work out an estimate for the value of √81.3 × 98.8
Answer: 900
Step-by-step explanation:
To estimate the value of √81.3 × 98.8, we can first simplify the expression inside the square root:
√81.3 ≈ √81 = 9
Then, we can estimate the product of 9 and 98.8 by rounding 98.8 to 100 and multiplying:
9 × 100 = 900
Therefore, an estimate for the value of √81.3 × 98.8 is approximately 900.
________________________________________________________
We can estimate the value of \(\sqrt{81.3}\) as approximately \(9\) and the value of \(98.8\) as approximately \(100\). Then we have:
\({\sqrt{81.3} \times 98.8 \approx 9 \times 100 = \boxed{900}}\)
This is a rough estimate of the actual value, but it should be close enough for most purposes.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
20. Music Two fifths of the instruments in the
marching band are brass, one third are
percussion, and the rest are woodwinds.
a. What fraction of the band is
woodwind
Answer:
4/15
Step-by-step explanation:
2/5 = 6/15
1/3 = 5/15
6/15 + 5/15 = 11/15
15/15 - 11/15 = 4/15
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70 decreased by twice chai’s height
The statement "70 decreased by twice chai’s height" as an expression is 70 - 2c
Writing the statement as an expressionFrom the question, we have the following parameters that can be used in our computation:
70 decreased by twice chai’s height
Represent chai’s height with c
So, we have the following representation
70 decreased by 2c
When the above statement is then represented as an expression, we have the following
Expression: 70 - 2c
Hence, the expression of the statement "70 decreased by twice chai’s height" is 70 - 2c
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2
Steve has 18 blue marbles and 27 red marbles in a bag. What is the ratio of red marbles to
blue marbles?
Answer:
3 : 2
Step-by-step explanation:
27 : 18 reduce the numbers = 3 : 2
Please help asap !!! I will give points !!!
The value of p when q is 2 is 1
What is inverse variation?Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.
This means that has x increases y will decrease and vice versa.
If p is inversely proportional to q , then p = kq
when p = 2, q = 4
2 = k4
k = 2/4
k = 1/2
When q = 2
p = 1/2 × 2
p = 1
Therefore the value of p is 1
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in a science experiment, Judah is tracking the height of a small tree. At the beginning, the tree measured 32 inches. Six weeks later, The tree measures 36 inches. What is the percent increase in the tree's height? Please help!.
We can say that the tree's height increased by 12.5% over the course of the six-week experiment.
To calculate the percent increase in the tree's height, we need to find the difference between its new height and its old height, and then express that difference as a percentage of the old height.
We start with the formula:
percent increase = (new value - old value) / old value * 100%
In this case, the old value is the height of the tree at the beginning of the experiment, which is 32 inches. The new value is the height of the tree six weeks later, which is 36 inches.
So, plugging in those values, we get:
percent increase = (36 - 32) / 32 * 100%
Simplifying this expression gives us:
percent increase = 4 / 32 * 100%
And when we evaluate that expression, we get:
percent increase = 12.5%
Therefore, the percent increase in the tree's height is 12.5%.
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3. A store sells boxes of juice bottles, all the same size. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the largest possible number of bottles contained in each box? If each box contains as many bottles as possible, how many boxes did each person buy
Help me plz AND PLZ NO LINKS I need help ASAP I WILL TRY TO GIVE YOU BRAINLIST IF U HELP ME
Step-by-step explanation:
we are looking for the greatest common factor of the 3 numbers.
e.g. by prime factorization :
18 = 2×3×3
36 = 2×2×3×3
45 = 3×3×5
the largest chain of prime factor multiplication that is contained in all 3 numbers is 3×3.
the GCF is therefore 3×3 = 9.
and that (9) is the largest possible number of bottles in one box.
oh, and Garth (18 bottles) bought therefore 2 boxes.
Rico (36 bottles) bought 4 boxes.
Mai (45 bottles) bought 5 boxes.
Powers are repeated ___________________.
multiplications
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please help me. i’m very stressed.
\(\sqrt[n]{a^n}=a\), therefore \(\sqrt[4]{5^4}=5\).
Answer:
It is 5
Key solutions:
\(\left(\sqrt[n]{a}\right)^n=a\)Step-by-step explanation:
Isolate the exponents and remove the square, giving you 5
\(\left(\sqrt[4]{5}\right)^4\\=5\)
Blank hundreds is the same as 4 thousand
Plz hurry no bots There are 12 boys and 10 girls in Mr. Math's 8 period class. What is the ratio
of boys to the total students in the class written in simplest form? Show work
Answer:
the ratio is 6:11
Step-by-step explanation:
Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 60 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.
Required:
​Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?
Yes, they are quite similar. the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation - based method (p < 0.0001)
P- value is the probability of obtaining a value of test statistic more extreme in the direction of alternative hypothesis than the observed one. In easy words if p -value < level of significance we reject H0 in favor of H1.
Here:
p-value < 0.0001 => we reject H0.
If the statistical software renders a p value of 0.000 it means that the value is very low, with many "0" before any other digit.
So the interpretation would be that the results are significant, same as in the case of other values below the selected threshold for significance.
Therefore, yes they are quite similar.
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Incomplete Question:
Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 60 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.
Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?
A. No, they are different.
B. Yes, they are quite similar.
Help me please
Piecewise Function
Answer:
f(1/2) = 2
Step-by-step explanation:
We will use second equation, since 1/2 > 0.
Rocco has a garden and an oak tree. The oak tree is 15 times as old as the garden. The sum of their ages is 128 years. How old is each the garden and tree?
9514 1404 393
Answer:
garden: 8 yearstree: 120 yearsStep-by-step explanation:
Let g represent the age of the garden. Then the age of the tree is 15g. The sum of their ages is ...
g +15g = 128
16g = 128 . . . . . collect terms
g = 128/16 = 8 . . . . divide by the coefficient of g
The garden is 8 years old; the tree is 120 years old.
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
what is the solution to this system?
3x+2y=45
4x+-y=5
(I) \(3x + 2y = 45\)
(II) \(4x - y = 5\)
Get \(y\) alone in equation (II)
\(4x - y = 5\\y = 4x - 5\)
Insert new equation (II) in equation (I)
\(3x + 2(4x - 5) = 45\\3x + 8x - 10 = 45\\3x + 8x = 45 + 10\\11x = 55\\x = 5\)
Insert \(x = 5\) in equation (II)
\(y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15\)
2. Devonne bought 3 carrots, 4 cucumbers,
6 apples, and 1 bag of crackers. How many
more vegetables does she need if she
wants to have a vegetable for dinner each
night for 2 weeks?
Please help I’m in test
1
Step-by-step explanation:
She has 3 carrots and 4 cucumbers that's a week done and 6 apples so she needs 1 more
In •A find CE if BA=7.35.
The value of CE is 14.7 units.
What if the diameter of a circle?The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.
So that in the given circle with center A, we have;
CE = BD (diameter of a given circle)
BA = EA = CA = DA (radius of a given circle)
CE is the diameter of the circle, and BA is the radius, so that;
CE = 2*BA
= 2*7.35
= 14.7
CE = 14.7
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Garden canes have lengths that are normally distributed with mean 208.5cm and standard deviation 2.5cm. what is the probability of the lenght of a randomly selected cane being between 205cm and 210cm
The probability of randomly selecting a can between 205cm to 210cm is 0.8765
Data;
Mean = 208.5cmstandard deviation = 2.5cmNormal DistributionTo solve this problem, we can simply use the formula of probability and substitute the value.
\(p\frac{(205-108.5)}{2..5} < \frac{x - 208.5}{2.5} < \frac{210 - 205.5}{2.5}\\p(-1.4 < z < 1.8)\)
Rearranging the equation and solving for the z-values;
\(p(z < 1.8-p < z < -1.4)\)
This becomes
\(p = 0.9641 - 0.0876 = 0.8765\)
The probability of randomly selecting a can between 205cm to 210cm is 0.8765
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which table represents a linear function? HELP FAST PLEASE
Answer:
the bottom left
Step-by-step explanation:
A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.
Is everything to the power of 0 = 1?
examples:
\(1^{0}, 2^{0}, 3^{0} .....\)
Hey there!
Any numbers that is to the power of 0 is 1 because it’s just like the product just without any numbers that are given. Therefore, to answer your question: YES
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
For each conjecture below, you are to describe in words what the Null Hypothesis and Alternative Hypothesis are. Consider the decision that you have to make based upon your conjectures. Explain in words or with a chart what the Type I and Type II errors mean in context. Finally, describe the ramifications of making these errors within the context of the problem and describe which of the 2 errors are worse (in your opinion).
1. It is believed that a new drug can cure a cold.
2. The teacher will never check homework today.
3. In a big store like Wal-Mart, they will never catch me if I shoplift.
4. If I try to learn to ski, I will end up hurting myself.
Type I error is generally worse than a Type II error in all of these scenarios, as it can have more severe consequences.
The Null Hypothesis is a statement that assumes that there is no significant difference or effect between two groups or variables. The Alternative Hypothesis is a statement that assumes that there is a significant difference or effect between two groups or variables.
Conjecture: It is believed that a new drug can cure a cold.
Null Hypothesis: The new drug does not cure a cold.
Alternative Hypothesis: The new drug does cure a cold.
Type I error: We conclude that the drug cures a cold, but it does not.
Type II error: We conclude that the drug does not cure a cold, but it actually does.
Ramifications: If we make a Type I error, we may give the drug to people who do not need it, which can have negative side effects. If we make a Type II error, people who could have benefited from the drug will not receive it.
Conjecture: The teacher will never check homework today.
Null Hypothesis: The teacher will check homework today.
Alternative Hypothesis: The teacher will not check homework today.
Type I error: We conclude that the teacher will not check homework today, but they actually do.
Type II error: We conclude that the teacher will check homework today, but they actually do not.
Ramifications: If we make a Type I error, we may not do our homework and receive a lower grade. If we make a Type II error, we may waste time doing homework that will not be checked.
Conjecture: In a big store like Wal-Mart, they will never catch me if I shoplift.
Null Hypothesis: Wal-Mart will catch me if I shoplift.
Alternative Hypothesis: Wal-Mart will not catch me if I shoplift.
Type I error: We conclude that Wal-Mart will not catch us if we shoplift, but they actually do.
Type II error: We conclude that Wal-Mart will catch us if we shoplift, but they actually do not.
Ramifications: If we make a Type I error, we may shoplift and get caught, which can have legal consequences. If we make a Type II error, we may shoplift and get away with it, which can encourage further illegal behavior.
Conjecture: If I try to learn to ski, I will end up hurting myself.
Null Hypothesis: Trying to learn to ski does not result in injury.
Alternative Hypothesis: Trying to learn to ski does result in injury.
Type I error: We conclude that trying to learn to ski results in injury, but it actually does not.
Type II error: We conclude that trying to learn to ski does not result in injury, but it actually does.
Ramifications: If we make a Type I error, we may avoid skiing altogether and miss out on the experience. If we make a Type II error, we may attempt skiing and get injured, which can have physical and financial consequences
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This is probably easy
Answer:
5 hours
Step-by-step explanation:
Let's express each scenario as a function in a slope-intercept form, y = mx + b,
Where,
y = total amount of water
x = number of hours
m = rate of at which water is drained or filled per hour
b = initial quantity of water in the tank
✔️Equation for Tank A:
m = 2 gallons/hour = 2
b = 100 gallons = 100
Substitute m = 2 and b = 100 into y = mx + b:
y = 2x + 100
✔️Equation for Tank B:
m = 6 gallons/hour = -6 (this is negative 6 because water drains)
b = 140 gallons = 140
Substitute the values into y = mx + b
y = -6x + 140
✔️Set the two equation equal together to determine the number of hours (x) that must pass for the total amount of water (y) in tank A and tank B to be the same.
2x + 100 = -6x + 140
Collect like terms
2x + 6x = -100 + 140
8x = 40
Divide both sides by 8
x = 40/8
x = 5
Therefore, 5 hours must pass for the total amount of water in both tanks to be the same.
Time sensitive! Please get back to me within the next 30 minutes :)
At a bakery, a latte costs three times as much as a bagel. I bought a latte and a bagel, and the
total cost was $5.00. How much does a latte cost, and how much does a bagel cost?
Answer:
bagel $1.25
latte: $3.75
Step-by-step explanation:
Let the price of a bagel = b.
A latte costs 3 times as much as a bagel, so the price of a latte is 3b.
b + 3b = 5
4b = 5
b = 1.25
3b = 3.75
Answer:
bagel $1.25
latte: $3.75
Answer: A bagel cost 1.25$ and a latte cost 3.75$
Step-by-step explanation:
Let a latte be y
Let a bagel be x
3x = y Total cost = 5$
A bagel is x, plus the 3x
4x = 5
x = 1.25
Sub back into 3x = y
3*1.25 = 3.75
Joey made this
graph to show how many incorrect
answers students got on a test. how
many students got 3 answers incorrect?
how do you know?
number of students
Answer:
you need to attach the graph for us to answer, just count
Step-by-step explanation:
Your teacher decides to determine groups in your class by pulling names out of a hat and not replacing them. What type of event is this?
The type of event is a dependent event
How to determine the type of event ?From the question, we have the following parameters that can be used in our computation:
Pulling names out of a hat Not replacing them.This means that
When a name is selected, the name is not returned to the hat
An event that involves not replacing a selection is a dependent event
This means that the name selected would affect the chances of selecting another name
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A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 4% margin of error at a 99% confidence level, what size of sample is needed? Give your answer in whole people.
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: Number of people that support the candidate.
You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%
The margin of error of the confidence level for the population proportion is
d= \(Z_{1-\alpha /2}\) * \(\sqrt{\frac{p'(1-p')}{n} }\)
From this formula you have to clear the value of n:
\(\frac{d}{Z_{1-\alpha /2}}\)= \(\sqrt{\frac{p'(1-p')}{n} }\)
\((\frac{d}{Z_{1-\alpha /2}})^2\)= \(\frac{p'(1-p')}{n}\)
\(n*(\frac{d}{Z_{1-\alpha /2}})^2\)= \(p'(1-p')\)
n= \(p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2\)
\(Z_{1-\alpha/2}= Z_{0.995}= 2.586\)
sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50
d= 0.04
\(n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045\)
She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%
I hope this helps!
Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?
Answer:
55 students
Step-by-step explanation:
all you do is 220*.25 and you get the answer