Answer:To solve the system of equations using substitution, we'll start by solving one equation for one variable, and then substitute that expression into the other equation.
Let's solve the second equation, y = 3x - 7, for y:
y = 3x - 7 (Equation 2)
Now, we can substitute this expression for y in the first equation, 2x + y = 3:
2x + (3x - 7) = 3
Combining like terms, we have:
5x - 7 = 3
Adding 7 to both sides of the equation, we get:
5x = 10
Dividing both sides of the equation by 5, we have:
x = 2
Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use Equation 2:
y = 3x - 7
Substituting x = 2, we have:
y = 3(2) - 7
Simplifying the expression, we get:
y = 6 - 7
y = -1
Therefore, the solution to the system of equations is x = 2 and y = -1.
We can also check this solution by substituting the values of x and y back into both original equations to make sure they satisfy both equations.
A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low.
True or False
A pooling equilibrium exists as long as the number of Type H customers in the market is relatively high.
True or False
Brainly Ginny character avatar
AI-generated answer
A pooling equilibrium exists when all customers, regardless of their type, are offered the same product or service. In a pooling equilibrium, the market does not differentiate between different customer types.
Given the statement "A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low," we can analyze its truthfulness:
If the number of Type H customers in the market is relatively low, it means that there are fewer customers of Type H compared to other types. In this scenario, it is more likely that the market will offer a single product or service that caters to the majority of customers, including non-Type H customers. Therefore, it is true that a pooling equilibrium is more likely to exist when the number of Type H customers is relatively low.
On the other hand, if the number of Type H customers in the market is relatively high, it means that there is a significant presence of Type H customers. In this case, the market might be inclined to offer specialized products or services that specifically cater to the needs and preferences of Type H customers. This would result in a segmentation or differentiation of the market, which contradicts the concept of a pooling equilibrium. Therefore, it is false to say that a pooling equilibrium exists when the number of Type H customers is relatively high.
To summarize:
- A pooling equilibrium is more likely to exist when the number of Type H customers in the market is relatively low. (True)
- A pooling equilibrium is less likely to exist when the number of Type H customers in the market is relatively high. (False)
what is the combined version of the equations 5.2*10^6 and 2.47*10^8
Brainly Ginny character avatar
AI-generated answer
To find the combined version of the given equations 5.2*10^6 and 2.47*10^8, we need to add or subtract the numbers and keep the same power of 10.
The numbers in scientific notation have two parts: the coefficient and the power of 10. In this case, we have:
5.2 * 10^6 and 2.47 * 10^8
To combine them, we need to make sure that the powers of 10 are the same. We can do this by adjusting the coefficients.
First, let's adjust the coefficient of 5.2*10^6. We can do this by multiplying it by 10^2:
5.2 * 10^6 * 10^2 = 5.2 * 10^(6+2) = 5.2 * 10^8
Now that we have adjusted the coefficient of 5.2*10^6, we can combine it with 2.47*10^8:
5.2 * 10^8 + 2.47 * 10^8 = (5.2 + 2.47) * 10^8 = 7.67 * 10^8
Therefore, the combined version of the equations 5.2*10^6 and 2.47*10^8 is 7.67*10^8.
Answer:
$223.21
Step-by-step explanation:
Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.
This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.
112% of x = 250
1.12x = 250
x = 250/1.12
x = 223.21
Answer: $223.21
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4
Which of the choices below best describes how to measure the spread of this data?
A. Both spreads are best described with the IQR.
B. Both spreads are best described with the standard deviation.
C. The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
D. The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answer:
C. The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Step-by-step explanation:
If data is normally distributed we use Standard deviation otherwise we use Interquartile Range (IQR) for measuring the spread.
Further, data is said to be normally distributed if Mean = Median = Mode.
So, High School data is normally distributed but College data is not.
So, We measure the spread of College data by IQR and High School data by Standard Deviation.
Thus, Option C is the only correct option.
A. x 2 + 5 = 3x - 3
B. 2x + 5 = 3x - 3
C. 2x + 5 = 3(x - 3)
Answer:
B..
Step-by-step explanation:
Let x represent the smaller number.
We have been one number is five more than another. The another number would be: .
Sum of both numbers would be
Three times the smaller number would be .
Three less than three times the smaller number would be .
We have been given that their sum is three less than three times the smaller. We can represent this information in an equation as: .
Therefore, option B is the correct choice.