Answer:
Therefore each suit cost $600 and each jean cost $199
Step-by-step explanation:
Let x represent the price of each suit and let y represent the price of each jeans.
Since 3 suits and 3 pairs of jeans cost $2397, this can be represented by the equation:
3x + 3y = 2397
Dividing through by 3:
3x/3 + 3y.3 = 2397/3
x + y = 799 (1)
Also, 8 suits and 11 pairs of jeans cost $6989, this can be represented by the equation:
8x + 11y = 6989 (2)
To find x and y, solve equation 1 and 2 simultaneously. Multiply equation 1 by 8 and subtract from equation 2 to get y:
3y = 597
y = $199
Put y = $199 in equation 1:
x + 199 = 799
x = $600
Therefore each suit cost $600 and each jean cost $199.
When the variable is on both sides of the inequality it must be isolated on one side and it doesn’t matter which side
Answer:
True
Step-by-step explanation:
Answer:
Isolate the variable and then use substitution to solve the system of equations.
Step-by-step explanation:
.
Answer fast please and thank you!
Step-by-step explanation:
everything can be found in the picture
A,B and C are the vertices of a triangle,
A has coordinates (4,6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
prove that DE is parallel to BC.
Answer:
SSS (side, side, side)
hope it helps:))!!!
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.
From the information given, (a) construct the indicated sample space and (b) answer the probability question.
a. A couple planning to have three children.
b. Find the probability of having exactly one girl.
Answer:
(a) 3 (b) 1/3
Step-by-step explanation:
The probability is defined as the ratio of number of elements in event to the number of elements in sample space.
(a) As the total number of child is 3, so the number of elements in sample space = 3
(b) The sample space is { boy, boy, girl}
So, the probability is 1/3.
Balance m - 16=35 image attached
Answer:
B
Step-by-step explanation:
You're trying to isolate the m so add 16 to both sides to cancel the -16
The strongest winds of Hurricane Isabel extended 50 miles in all directions from the center.
What is the area of the hurricane in square miles? Leave your answer in terms of Pi
Answer:
20
Step-by-step explanation:
your mom
Jasmine bought a game system
that cost $299 before tax. The total
including sales tax was 1.07 times
the price. A discount was then
applied by multiplying the total price
by 0.90. What was the total cost of
the game system including the sales
tax and discount?
9514 1404 393
Answer:
$287.94
Step-by-step explanation:
The final cost is found by multiplying the cost by the various factors:
$299 × 1.07 × 0.90 ≈ $287.94
As percents of the whole, how big are the following?
Answer:
A= 1%
B=10%
C= 32%
Step-by-step explanation:
There are 100 total squares, which makes this easy because a percent is out of 100%. All you have to do is count the number of squares and put it out of 100
La temperatura exterior era de 8 grados a la medianoche. La temperatura bajó 5 grados durante cada una de las siguientes 3 horas. ¿Cuál era la temperatura a las 3 a.m.?
Answer:
A las 3 AM la temperatura era de -7 grados.
Step-by-step explanation:
Dado que la temperatura exterior era de 8 grados a la medianoche, y la temperatura bajó 5 grados durante cada una de las siguientes 3 horas, para determinar cuál era la temperatura a las 3 a.m. se debe realizar el siguiente cálculo:
8 - (3 x 5) = X
8 - 15 = X
-7 = X
Por lo tanto, a las 3 AM la temperatura era de -7 grados.
The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.10 Find the probability that -2<_x<_2
Answer:
0.6 probability that [tex]-2 \leq x \leq 2[/tex]
Step-by-step explanation:
The probability distribution is given in the table.
Probability that x is between -2 and 2.
Between -2 and 2, inclusive, we have -2, 0 and 2. So
[tex]P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)[/tex]
From the table:
[tex]P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11[/tex]. So
[tex]P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60[/tex]
0.6 probability that [tex]-2 \leq x \leq 2[/tex]
Please help, What equation is always true?
Answer:
4. m<7 = m<3 + m<2
Step-by-step explanation:
Recall: the exterior angle theorem of a triangle states that an exterior angle is equal to the sum of the two opposite interior angles of a triangle.
❌Option 1 CANNOT be true
Rationale:
m<1 is an exterior angle of triangle ∆ABC and ∆EBC, so based on the exterior angle theorem of a triangle, m<1 = m<3 + m<4 or m<1 = m<ABC + m<5
❌Option 2 CANNOT be true.
Rationale:
m<5 ≠ m<3 - m<2
❌Option 3 CANNOT be true.
Rationale:
m<6 ≠ m<3 - m<2
✅Option 4 is CORRECT.
Rationale:
Based on the external angle theorem of a triangle,
m<7 = m<3 + m<2
What is the unit rate for 297 miles on 11 gallons of gas?
Answer:
27 miles per gallons
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
297 miles / 11 gallons
27 miles per gallons
work out the value of 6.8x10^2 x 1.3x10^-3
Answer:
0.884
Step-by-step explanation:
just use a calculator
Solve mentally. See the image below.
Answer:
7.5 is 37.5% of 20.
Step-by-step explanation:
Solve for %
We know that ; % = given no. ÷ total no. × 100
Where, we've
Given number = 7.5and Total number = 20plug the values
[tex] \small \sf \frac{7.5}{20} \times 100 \\ [/tex]
canceling 100 by 20 to get
7.5 × 5
multiply the numbers
37. 5 %
HELP HELP HELP HELP solve this
Answer:
77
Step-by-step explanation:
What is MS Word?
O It is a computerized tool.
O It is a calculating tool
O It is a graphic design tool.
O Its is a typing tool.
In psychology, aptitude tests are designed to measure the ability to learn. Questions are designed to be age appropriate so as not to be biased toward age due to knowledge acquired. In this study, an aptitude test is given on the skills necessary to use apps on a smart phone. An aptitude test with a maximum score of 150 is given to measure the ability to learn how to use apps on a smartphone.
The regression line for the predicted value of aptitude given age is as follows:
Aptitude = 111.3 - 1.13*Age
Find the expected aptitude test score for a person whose age is 15 years. Your answer should be rounded to the nearest whole number.
Answer:
The expected aptitude test score for a person whose age is 15 years is 94.
Step-by-step explanation:
Aptitude formula in function of age:
The aptitude A in function of age a is given by:
[tex]A(a) = 111.3 - 1.13a[/tex]
Find the expected aptitude test score for a person whose age is 15 years.
This is A when a = 15. Thus, finding the numeric value of the function:
[tex]A(a) = 111.3 - 1.13a[/tex]
[tex]A(15) = 111.3 - 1.13(15) = 94.35[/tex]
Rounding to the nearest whole number, 94.
In this question, we first explain the expected aptitude test after that we calculate its value.
The test of aptitude allows employers to assess the skills of a candidate via a variety of test formats. Required to test your ability to do things and react to working circumstances is tested. It includes, among others, problem-solving, prioritization as well as numeracy skills.When a score of 100% again for a perfect aptitude test, as well as a score of 80% or greater is considered a good person with the minimum acceptable score is deemed to be between 70% and 80%.Given:
[tex]\to \bold{Aptitude = 111.3 - 1.13*Age}[/tex]
[tex]\to \bold{Age= 15 \ years}\\\\[/tex]
Putting the age value into the Aptitude equation to calculate its value:
[tex]\bold{= 111.3 - 1.13*(15)}\\\\\bold{= 111.3 - 16.95}\\\\\bold{=94.35 \approx 94} \\\\[/tex]
Therefore, For a person 15 years of age 94, the anticipated test score for aptitude.
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Choose the correct option
Write down the inequality shown in the diagram
-4 < x <3
Option 1
-4 < x <3
Answer:
-4 < x <3
Option 1
-4 < x <3
-
Calculate the mean and median of the list of numbers below: 3, 5, 2, 10, 6, 3, 7, 3
Answer:
Step-by-step explanation:
mean = sum of data / no of data
=3 + 5 + 2 + 10 + 6 + 3 + 7 + 3/8
=36/8
4.5
to calculate the given data must be arranged in ascending to descending order . So , the data are
2 , 3 , 3 , 3 , 5 , 6 , 7 , 10
Median = N + 1/2 (N means no of data)
=8 + 1/2
=9/2
=4.5
=(4 + 5) th term / 2
=3 + 5/2
=8/2
=4
which of the following exponential functions represents the graph below?
[tex] a.\: \: \: \: \: \: f(x) = 5 • ( \frac{1}{4}) {}^{x} [/tex]
[tex] b. \: \: \: \: \: \: \: \: \: \: \ f(x)5•4 {}^{x} [/tex]
[tex]c .\: \: \: \: \: \: f(x) = 4• ( \frac{1}{5}) {}^{x} [/tex]
[tex]d. \: \: \: \: f(x)=4•5 {}^{x} [/tex]
Step-by-step explanation:
the answer is not a and b because when we accept 0 from x and look at graphic you can see 4
In a Louisiana chili cook-off, 18 of the 40 chilis included two types of beans.
A photo of multiple crock pots on a long table is shown. The caption says chili cook-off.
What percentage of the chilis did not include two types of beans?
Enter the correct answer in the box.
Answer:
55%
Step-by-step explanation:
18 out of 40 include chili.
So 22 has no chili
22/40 = 0.55 or 55%
Calculate the number of vertices in a full 5-ary tree with 35 internal vertices.
Also, find out the number of leaves
Answer:
Step-by-step explanation:
With 35 internal nodes, there are 5*35=175 vertices out of which are 175-35=140 leaves.
The number of vertices in a full 5-ary tree is 175.
The number of leaves is 140.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of full trees = 5
Number of internal vertices = 35
Now,
The number of vertices.
= 5 x 35
= 175
Now,
The number of leaves.
= 175 - 35
= 140
Thus,
Number of vertices is 175.
Number of leaves is 140.
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whenever a,x,y are positive integers, which of the following expressions is equivalent to x^ay^a
Answer:
[tex]{(xy)}^{a} [/tex]
Step-by-step explanation:
when the exponent is equal, we can put the x and y together in a bracket and a as the Exponent of xy.
Hope I get your question~
b.) The number of boys and girls in a class are in the ratio 9:3. The number of boys is 16 more
than the numbers of girls. What is the total class strength
Answer:
9/3::16x/X
Step-by-step explanation:
do in this way the answer will come
Answer:
32 students
Step-by-step explanation:
9 : 3
9 - 3 = 6
6 : 16
9 + 3 = 12
12 : y
[tex]\frac{6}{16} :\frac{12}{y}[/tex]
y · 6 = 12 · 16
6y = 192
6y ÷ 6 = 192 ÷ 6
y = 32
square the following numbers
5, 9, 12
Answer:
5² = 25
9² = 81
12² = 144
hope it helps
have a nice day
Answer:
5^2=5x5=25
9^2=9x9=81
12^2=12x12=144
Step-by-step explanation:
If this helps you, please mark brainliest!
Have a nice day!
can someone tell me what the diffrence of 8 through 5 is
Answer:
The answer is 3.
Step-by-step explanation:
What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.
Answer:
3
Step-by-step explanation:
What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 15 mph, find the speed of the plane in still air.
Answer:
161 speed of plain in still air
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A random sample of 10 subjects have weights with a standard deviation of 12.7363 kg. What is the variance of their weights?
Answer:
Variance, V = 162.2133 kg²
Step-by-step explanation:
Given the following data;
Standard deviation = 12.7363 kg.
To find the the variance of their weights?
Mathematically, standard deviation is equal to the square root of variance.
[tex]Sd = \sqrt{V}[/tex]
Where;
Sd is the standard deviation of the sample.
V is the variance of the sample.
Substituting into the formula, we have;
[tex]12.7363 = \sqrt{V}[/tex]
Taking the square of both sides, we have;
[tex]12.7363^{2} = V [/tex]
Variance, V = 162.2133 kg²
Find the measure of the missing angle.
Answer:
92
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
? = 92
Answer:
92 degrees
Step-by-step explanation:
the 92 degree angle is congruent to the missing angle