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lianna [129]
3 years ago
7

3x + 4y = 17 -6x = 10y - 39 How many solutions

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0

Answer:

(7/3, 5/2) one answer

Step-by-step explanation:

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Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A consume
Ivan

Answer:

Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

Mean mileage for the Carter Motor​ Company's new sedan

We can design the null hypothesis and alternate hypothesis as:

H_{0}: \mu \geq 32\text{ miles per gallon}\\H_A: \mu < 32\text{ miles per gallon}

Type I error:

  • It is the false positive error.
  • It is the error of rejection a true hypothesis.

Type II error:

  • It is the false negative error.
  • It is the non rejection of a false null hypothesis.

Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.

3 0
3 years ago
3y-5=5y<br><br> What is the value of y?
navik [9.2K]
The value of Y would be -5 = 2y
8 0
2 years ago
Read 2 more answers
A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
Karen is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.
svp [43]

Step-by-step explanation:

independent is questions answered correct

dependent is final test sore.

i think

8 0
3 years ago
Read 2 more answers
A boat leaves a port and heads straight East for 12 miles then turns straight south for another 7 miles then stops. If another b
dlinn [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
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