Answer:
Graph has been shown in the attached file.
Step-by-step explanation:
We have been given the system of equations
Both the equation represents a straight lines. We can find the x and y intercepts of these lines to graph.
The intercept form of a line is given by
Here a is the x - intercept and b is the y-intercept.
Divide both sides of the equation (1) by 16
Hence, x-intercept = 4 and the point is (4,0)
y-intercept = 4 and the point is (0,4)
Similarly, for the second line
Divide both sides of the equation (2) by -6
x-intercept = -6 and the point is (-6,0)
y-intercept = -1 and the point is (0,-1)
We'll plot these points in the xy- plane and then join to get the graph of these lines.
The area of a triangle can be determined as half the product of two sides multiplied by the sine of the angle between them. In this case,
A = (1/2)(AB)(AC)(sin A) = (1/2)(6)(15)(sin 48) = 33.44 square units.
Answer:
D. Only one cleaning product was asked about in the survey.
Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.
Step-by-step explanation:
the other options are wrong because:
- A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-
- B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim.
- C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.
Answer:
Robin will have 12 dimes in his pocket.
Step-by-step explanation:
Since;
D = One dime = $0.1
P = One penny = $0.01
Amount to have less = $1.08
From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,
Decease in holding = D - P = $0.1 - $0.01 = $0.09
Therefore, we have:
Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes
Therefore, Robin will have 12 dimes in his pocket.
