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2 years ago

Help asap please!! <3

Mathematics

2 answers:

xz_007 [3.2K]2 years ago

6 0

Answer:

3/2 or 1.5

Step-by-step explanation:

Finding the gradient

gradient (m) = y₂ - y₁ / x₂ - x₁
m = 5 + 1 / 4 - 0
m = 6/4
m = 3/2 or 1.5

Roman55 [17]2 years ago

4 0

Answer:

gradient = $\frac{3}{2}$

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )

m = $\frac{5-(-1)}{4-0}$ = $\frac{5+1}{4}$ = $\frac{6}{4}$ = $\frac{3}{2}$

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Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was

Ivan

Answer: $\pm0.1706$

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of $\alpha:0.05$ : $z_{\alpha/2}= 1.96$

Sample mean : $\overline{x}=2.5$

Standard deviation : $\sigma= 0.5$

We assume that this is a normal distribution.

Margin of error : $E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706$

Hence, the margin of error is $\pm0.1706$

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3 years ago

If an architect wants to draw a plan for a house that is 75 ft by 80 ft, and his paper is 10 in. by 17 in., what is the best sca

drek231 [11]

The best scale factor to make use of every inch of the paper would be that 1 inch represents 7.5 feet.

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3 years ago

Factor: 3x^2 - 288y^2 - 36

erica [24]

Answer:

3x^2-288y^2-36

Rewrite -36 as 12×3

Rewrite -288 as 96×3

3x^2+96.3y^2+12.3

factor out common term 3

=3(x^2-96y^2-12)

7 0

3 years ago

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What is the dimensions of a box 8 cubic feet

Nesterboy [21]

You can't tell. The volume doesn't tell you the dimensions. It only tells you
what the product of the three dimensions is, but not what anyone of them is.
There are an infinite number of different possibilities.

Example: Volume = 8 cubic feet

The dimensions of the box could be

Length = 2-ft, Width = 2-ft, Height = 2-ft
or
1 x 1 x 8
or
1 x 2 x 4
or
1 x 3 x 2-2/3
or
1 x 5 x 1.6
or
1 x 6 x 1-1/3
or
1 x 7 x 1-1/7
or
2 x 3 x 1-1/3
or
2 x 5 x 0.8
or
2 x 6 x 2/3
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2 x 7 x 4/7
or
2 x 8 x 1/2
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8 0

4 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Chris is playing a

alisha [4.7K]

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Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple

$(x,y)\, x, y \in \{h,d,c,s\}$

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If we want a player to draw two card of the same colour, the following couples are good:

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so 8 possible couples over 16. This means that the probability that a player draws two cards of the same color is 8/16 = 1/2.

Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:

$(h,c),\ (h,s),\ (d,c),\ (d,s)$

which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.

4 0

4 years ago

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