Answer:
A). 15
B). -1.2
Step-by-step explanation:
A). [10(x+3)]-20 = 160
10x+30-20 = 160
10x+10 = 160
10x = 160-10
10x = 150
x = 150/10
x = 15
B). 5{[4(8+(5x))]-9} = 85
5(32+20x+9) = 85
5(32+9+20x) = 85
5(41+20x) = 85
205+100x = 85
100x = 85-205
100x = -120
100x/100 = -120/100
x = -1.2
----------------------------------------------------------------------
HOPE THIS HELPS!!!
Cherries are $2.00/ pound what is the constant of proportionality
Answer:
$2 price per pound
2 is the constant of proportionality
Step-by-step explanation:
Price of Cherries = $2 per pound
what is the constant of proportionality
If y = total cost of buying x pounds of Cherries at $2 per pound
The equation below represent the situation
y = $2 * x
y = 2x
The constant of proportionality is 2
That is, the $2 price per pound
Jennifer can do 8 math problems in 20 minutes. How long would it take her to complete a 10 question test at the same rate?
Answer:
25 minutes
Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes
Answer:
25 minutes
Step-by-step explanation:
→You can set this problem up as a proportion, like so:
\(\frac{8}{10} =\frac{20}{x}\)
→Cross multiply:
\(\frac{8x}{200}\)
→Divide 200 by 8:
x = 25
The independent variable of a boxplot is:
O a reference stream
O continuous
O the Oregon ∣BI
O categorical
The independent variable of a boxplot is categorical. This means that variable used to create boxplot consists of distinct categories rather than continuous numerical values. The boxplot allows to visualize and compare the distribution of a quantitative variable across different categories .
In statistical analysis, the independent variable is the variable that is manipulated or controlled in order to observe its effect on the dependent variable. In the case of a boxplot, the independent variable is typically a categorical variable. This means that it consists of distinct categories or groups that are not inherently ordered or continuous.
For example, in a study comparing the heights of individuals from different countries, the independent variable would be the country itself, which is a categorical variable. The heights of individuals would be the dependent variable, and the boxplot would show the distribution of heights for each country.
By using a boxplot, we can easily compare the distribution of a quantitative variable across different categories or groups and identify any differences or patterns that may exist. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values within each category, allowing for easy comparisons and identification of outliers.
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HELP ME PLEASEEEEEE I NEED HELP
I FOUND THE ANSWER AND IT RIGHT LOL GOOD LUCK HOPE YOU DO NOT PASS
what does 2+2 equal ?
Answer:
4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
the marks on a biology final test are normally distributed with a mean of 78 and a standard deviation of 6. what is the probability that a class of 50 has an average score that is less than 77?
The probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.
To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, we have a population of marks on a biology final test that is normally distributed with a mean of 78 and a standard deviation of 6. We want to know the probability that a class of 50 has an average score that is less than 77.
Using the central limit theorem, we can calculate the standard error of the mean as follows:
standard error of the mean = standard deviation / square root of sample size
standard error of the mean = 6 / √50
standard error of the mean = 0.8485
Next, we need to calculate the z-score for a sample mean of 77:
z-score = (sample mean - population mean) / standard error of the mean
z-score = (77 - 78) / 0.8485
z-score = -1.18
We can use a standard normal distribution table or calculator to find the probability associated with a z-score of -1.18. The probability of a sample mean less than 77 is approximately 0.1190 or 11.90%.
Therefore, the probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.
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Please help there is no word problem.
5 − a + 4a =
i need help with this
What is the image of (-1, -2) after a reflection over the y-axis?
Answer:
(1, -2)
Step-by-step explanation:
Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)
There are ten pieces of pizza. Anthony ate 1/8 of the pizza for dinner. He ate 3/10 for a bedtime snack
How much of the pizza has he eaten in all?
Give your answer as a fraction, reduced to lowest terms.
Answer:
I think 4/10 pizza he had ate .
The amount of the pizza he ate will be 9 / 40.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
There are ten pieces of pizza.
Anthony ate 1/8 of the pizza for dinner.
Then the amount of pizza left will be
⇒ 1 – 1/8
⇒ (8 – 1) / 8
⇒ 7/8
He ate 3/10 for a bedtime snack.
Then the amount of the pizza will be
⇒ 7/8 – 1/10
⇒ 31/40
The pizza has he eaten in all.
Then the amount of the pizza he ate will be
⇒ 1 – 31/40
⇒ 9 / 40
Then the amount of the pizza he ate will be 9 / 40.
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no clue what the answer is
Answer:
£3,936
Step-by-step explanation:
800 · .28 =
=224
224·14=
3,136
3,136+800
3,936
*Wow I wouldn't want the interest rate to go up THAT much*
Is the question ''how many cars were sold each day this month'' statistical or not?
Find equations of the normal plane and osculating plane of the curve at the given point.
x = 5t, y = t^2
, z = t^3
; (5, 1, 1)
(a) An equation for the normal plane is
O 5x + 2y + 3z = -30
O 30x + 2y + 3z = 30
O 5x + 3y + 2z = 30
O 5x + 2y + 3z = 30
O 5x + 2y - 3z = 30
b) An equation for the osculating plane is
O 3x - 15y + 5z = 5
O 3x - 15y + 5z = -5
O x - 15y + 3z = 5
O 3x - y + 3z= 5
O 3x - 15y + 5z = 15
Answer:
Step-by-step explanation:
To find the normal plane and osculating plane, we first need to find the required derivatives.
x = 5t, y = t^2, z = t^3
dx/dt = 5, dy/dt = 2t, dz/dt = 3t^2
So, the velocity vector v and acceleration vector a are:
v = <5, 2t, 3t^2>
a = <0, 2, 6t>
Now, let's evaluate them at t = 1 since the point (5, 1, 1) is given.
v(1) = <5, 2, 3>
a(1) = <0, 2, 6>
The normal vector N is the unit vector in the direction of a:
N = a/|a| = <0, 1/√10, 3/√10>
Using the point-normal form of the equation for a plane:
normal plane equation = 0(x-5) + 1/√10(y-1) + 3/√10(z-1) = 0
Simplifying this equation we get:
5x + 2y + 3z = 30
The osculating plane can be found using the formula:
osculating plane equation = r(t) · [(r(t) x r''(t))] = 0
where r(t) is the position vector, and x is the cross product.
At t = 1, the position vector r(1) is <5, 1, 1>, v(1) is <5, 2, 3>, and a(1) is <0, 2, 6>.
r(1) x v(1) = <-1, 22, -5>
r(1) x a(1) = <12, -6, -10>
v(1) x a(1) = <-12, 0, 10>
Substituting these values into the formula, we get:
osculating plane equation = (x-5, y-1, z-1) · <12, -6, -10> = 0
Simplifying this equation we get:
3x - 15y + 5z = 5
Therefore, the equations for the normal plane and osculating plane at (5, 1, 1) are:
(a) 5x + 2y + 3z = 30
(b) 3x - 15y + 5z = 5
please help !!! its math problem i give brainlist What type of function is represented in the table below?
Answer:
linear is correct
Step-by-step explanation:
what is the largest number of real zeros a polynomial with a degree n can have?
Explanation:
Refer to the fundamental theorem of algebra. That theorem says the most roots or zeros a polynomial of degree n can have is n roots.
Example: The cubic x^3+5x has at most 3 real roots.
Dr Michael prescribes 300mg a day of medicine to a patient. Each pill has 15mg of medicine. How many pills will the patient need for
Answer:
20
Step-by-step explanation:
15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.
Help i need it super badly!
Answer:
volume 1= 175 ft^3
volume 2= 60 m^3
Step-by-step explanation:
volume 1= [(3×7)+(2×(7-5))]×7= 175 ft^3
volume 2= [(3×6)+(1×2)]×3= 60 m^3
A science teacher ordered $3980 worth of microscopes and dissection kits for the new science lab. A total of 38 microscopes and 47 dissection kits were ordered. A microscope costs four times as much as a dissection kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
Cost of a kit is $20
cost of a microscope is $80
Step-by-step explanation:
Here, we want to write a set of equations and solve
Let the cost of a microscope be $m while the cost of a kit be $k
Total cost of 38 microscopes will be 38 * m = $38m
Total cost of 47 kits = 47 * k = $47k
The sum of these is $3980
That will be;
47k + 38m = 3980 ••••••(i)
A microscope cost 4 times a kit
Mathematically;
m = 4k •••••••••(ii)
Substitute ii into i
47k + 38(4k) = 3980
47k + 152k = 3980
199k = 3980
k = 3980/199
k = $20
Recall;
m = 4k
m = 4 * 20 = $80
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Which of the following statements are true about relational databases?
I. Relational databases get their name from the fact that a relation corresponds to a table in a relational database.
II. Firms may utilize databases other than relational databases.
III. In mapping an E-R diagram to a set of tables in a relational database, only the entities in the E-R diagram are mapped to tables in the database.
IV. In mapping an E-R diagram to a set of tables in a relational database, each attribute of an entity is given a separate table.
II. Firms may utilize databases other than relational databases.
III. In mapping an E-R diagram to a set of tables in a relational database, only the entities in the E-R diagram are mapped to tables in the database.
II. The statement that firms may utilize databases other than relational databases is true. While relational databases are widely used, there are other types of databases available, such as hierarchical databases, network databases, and object-oriented databases. Each type has its own characteristics and may be suitable for different purposes or specific requirements of an organization.
III. The statement that, in mapping an E-R diagram to a set of tables in a relational database, only the entities in the E-R diagram are mapped to tables in the database is also true. In the entity-relationship (E-R) model, entities represent objects or concepts in the real world, and relationships define the associations between entities. When designing a relational database based on an E-R diagram, the entities are typically mapped to tables, and the relationships are represented through foreign keys and join operations between tables. Other elements, such as attributes and keys, are also considered in the mapping process, but not all of them are necessarily represented as separate tables.
IV. The statement that each attribute of an entity is given a separate table in the mapping of an E-R diagram to a set of tables in a relational database is not true. In a relational database, attributes are typically represented as columns within a table, where each row represents a record or instance of the entity. Attributes are not given separate tables, but rather they contribute to the structure and content of the table associated with the entity.
Therefore, the correct statements are II and III.
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PLS HELP ASAP
Given that r||s and q is a transversal, we know that ∠3 ≅ ∠6 by the
Answer:
\(\displaystyle alternate\:interiour\:angles\:theorem\)
Step-by-step explanation:
Alternate means they are on OPPOSITE sides diagonal from each other, and interiour is self-explanatory, so you can see what the answer is from here.
I am joyous to assist you at any time.
Re-write the quadratic function below in Standard Form y= -3(x+2)(x-3)
Answer:
-3x^2 +3x +18
Step-by-step explanation:
Y= -3(x+2)(x-3)
= - 3 (x^2 - x - 16)
= - 3x^2 - 3(-x) - 3(-6)
= - 3x^2 +3x +18
after a 40% reduction, you purchase a new computer monitor for $261. what was the price of the computer monitor before the reduction? a) first write an equation you can use to answer this question. use x as your variable and express any percents in decimal form in the equation. the equation is b) solve your equation in part [a] to find the original price of the computer monitor. answer: the original price of the computer monitor was dollars.
The computer monitor's original price was $435, after a 40% reduction, and it was purchased for $261.
a) The equation to answer this question is: 0.6x = 261, where x is the original price of the computer monitor before the reduction (since the price is reduced by 40%, you only pay 60% of the original price).
b) Solving the equation 0.6x = 261, we get:
x = 261/0.6
x = 435
Therefore, the original price of the computer monitor was $435.
To find the original price of a computer monitor that had a 40% reduction and was purchased for $261, we can use the equation 0.6x = 261, where x represents the original price. Solving for x, we divide both sides by 0.6, giving us x = 435. Therefore, the original price of the computer monitor was $435.
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Solve the equation:
4-2e^x = -23
Answer:
Exact Form: x=ln((27)/(2))
Or decimal form: 2.60269
india says that (3³)² is equivalent to 243 because the exponents should be added when simplifying the expression. explain why india is incorrect.
pls help
Answer: India is incorrect because you multiply the exponents are supposed to be multiplied not added
Step-by-step explanation:
Why does christopher collier think new england should be proud of the town hall meeting form of government
New England should be proud of the town hall meeting form of government because it promotes civic engagement and ensures direct participation in decision-making processes.
What are the reasons behind New England's pride in the town hall meeting form of government?The town hall meeting form of government is deeply rooted in the history and culture of New England. Christopher Collier, an esteemed historian, believes that this form of government holds significant value and should be a source of pride for the region.
At its core, the town hall meeting allows community members to come together in a direct and democratic setting to discuss and decide on local matters. It fosters civic engagement by providing a platform for individuals to voice their opinions, concerns, and ideas. The participatory nature of these meetings ensures that every citizen has the opportunity to actively contribute to the decision-making process.
Furthermore, the town hall meeting form of government promotes transparency and accountability. By gathering in a public forum, citizens can witness firsthand how decisions are made and hold their elected officials accountable for their actions. This open and inclusive process strengthens the bond between the government and the governed, creating a sense of shared responsibility and trust.
In addition, town hall meetings cultivate a strong sense of community and civic pride. These gatherings provide a space for residents to connect with one another, exchange information, and collaborate on local initiatives. By coming together as a community, New Englanders can collectively address challenges, celebrate achievements, and shape the future of their towns.
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Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3. Evaluate the expression 2g+3a when g=4 and a=8 to find the cost of buying 4 cartons of grape juice and 8 cartons of apple juice. What is the difference in price Missy and Jared paid? Show your work.
For $32, Missy purchased 4 cartons of grape juice and 8 cartons of apple juice; the $12 difference between Missy and Jared's prices.
What is an expression?The combining of variables with the use of operations and established rules is known as expression in mathematics. It could show up as a formula, a list of numbers, etc.
We have an expression,
Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3.
The expression is 2g+3a.
To evaluate the expression when g=4 and a=8:
Substitute the value of g and a to the expression
2g+3a
= 2 (4) + 3(8)
= 8 + 24
= 32
So, the cost of buying 4 cartons of grape juice and 8 cartons of apple juice is $32.
The difference in price Missy and Jared paid:
$32 - $20
= $12
Therefore, Missy bought 4 cartons of grape juice and 8 cartons of apple juice for $32 and the difference between the price Missy and Jared paid is $12.
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Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why CDE = OPQ?
Check all that apply.
A: LL
B: ASA
С: НА
D: HL
E: AAS
F: SAS
Step-by-step explanation:
ASA IS ANSWER
By ''ASA congruence theorems'', both triangles CDE and OPQ are congruent.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the correct congruence theorems or postulates could be given as reasons for both triangles CDE and OPQ are congruent.
Here, By both triangles CDE and OPQ;
CE = OQ
∠CDE = ∠OPQ = 90°
∠ DCE = POQ
Hence, By ASA congruence theorems, both triangles CDE and OPQ are congruent.
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If x and y vary directly and y is 44 when x is 11, find y when x is 9.
The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, x and y vary directly and y is 44 when x is 11.
Let, y ∝ x.
y = kx.
44 = 11k.
k = 44/11.
k = 4.
Now x = 9.
y = 4×9.
y = 36.
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What is the equation of a line of a line passing through (-3,7) and having a slope of - 1/5?
Answer:
y = -1/5x + 6.4
Step-by-step explanation:
Use the point-slope formula.
y-y₁ = m(x -x₁)
so...
y-7 = -1/5(x - (-3))
y = -1/5x+ 32/5
and you need you can change 32/5 to 6.4
Hope this helps!