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Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer:

Step-by-step explanation:

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Some students reported how many pets they had. The dot plot shows the data collected: A dot plot is titled Students Pets and lab

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Answer:B

Step-by-step explanation:I just know

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3 years ago

Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Nezavi [6.7K]

$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

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3 years ago

NEED HELP!!!!!EMERGENCY

Basile [38]

Answer:

49.5 square inches

Step-by-step explanation:

We can split the figure into two easier shapes to find the area of; a triangle and a square.

The formula for a triangle is (b*h)1/2. Once we solve we get 24.5 or 24 1/2.

The formula for a square is l*w. Once we solve we get 25.

To find the area of the shaded region, we would add both area and get 49.5 or 49 1/2 square inches.

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3 years ago

University officials say that at least 70% of the voting student population supports a fee increase. If the 95% confidence inter

yanalaym [24]

Answer:

We are 95% sure that the true proportion of students that supports a fee increase is between 0.75 and 0.85.

Step-by-step explanation:

The interpretation of a x% confidence interval of proportions being between a and b is that:

We are x% sure that the true proportion of the population is between a and b.

If the 95% confidence interval estimating the proportion of students supporting the fee increase is (0.75; 0.85), what conclusion can be drawn

We are 95% sure that the true proportion of students that supports a fee increase is between 0.75 and 0.85.

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Are there no numbers?

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2 years ago