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2 years ago

3) Which inequality represents this scenario?

Mathematics

2 answers:

andreev551 [17]2 years ago

5 0

Answer:

w < 3.3

C) w < 3.3

D) w < 3.3

olya-2409 [2.1K]2 years ago

4 0

Answer: $w \le 3.3$

=====================================================

Explanation:

w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.

w = 3.3 is possible or anything smaller than it is possible.

So w is 3.3 or smaller meaning we write the inequality $w \le 3.3$

The answer is not w < 3.3 because that would exclude 3.3 itself.

The answer is between choices C and D. It seems like one of those inequality signs should have an underline.

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Answer:

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Step-by-step explanation:

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2 years ago

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The Pew Research Center reported that 73% of Americans who own a cell phone also use text messaging. In a recent local survey, 1

AnnZ [28]

Answer:

$z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433$

Now we can find the p value. Since we have a bilateral test the p value would be:

$p_v =2*P(z>1.433)=0.152$

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

Step-by-step explanation:

Information provided

n=200 represent the sample size slected

X=155 represent the cell phone owners used text messaging

$\hat p=\frac{155}{200}=0.775$ estimated proportion of cell phone owners used text messaging

$p_o=0.73$ is the value to verify

$\alpha=0.1$ represent the significance level

We need to conduct a z test for a proportion

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:

Null hypothesis: $p=0.73$

Alternative hypothesis: $p \neq 0.73$

The statistic to check this hypothesis is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433$

Now we can find the p value. Since we have a bilateral test the p value would be:

$p_v =2*P(z>1.433)=0.152$

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

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3 years ago

Help!!!!!!!!!!!!!!! A square tabletop has side lengths of (4x − 8) units. Enter a polynomial that represents the area of the tab

kherson [118]

Answer: $16x^{2}-64x+64$

Step-by-step explanation:

1. The formula for calculate th area of a square is shown below:

$A=s^{2}$

Where s is the side of the square.

2. Therefore, if the square tabletop has side lengths of (4x-8) units you have:

$(4x-8)^{2}$

3. By definition, the square of a binomial is always a trinomial:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

4. Then, you obtain:

$(4x-8)^{2}=(4x)^{2}-2(4x)(-8)+8^{2}=16x^{2}-64x+64$

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2 years ago

(04.04 MC)

sp2606 [1]

Answer:

y = x^2/ 60 + 15

=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].

Step-by-step explanation:

Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.

That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.

So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"

We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).

The equation that best describes the equation of the satellite is given as;

(x - h)^2 = 4a( y - k). ------------------------(1).

[Note that if (h,k) = (0,15), then, a = 15].

Hence, (x - 0)^2 = (4 × 15) (y - 15).

x^2 = 60(y - 15).

x^2 = 60y - 900.

60y = x^2 + 900.

y = x^2/ 60 + 15.

Hence, we will have;

(x - h)^2 = 4a[ (x^2/6 + 15) - k ].

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2 years ago

Write an expression for the sequence of operations described below.1)) multiply 7 by 8, then divide f by the resultDo not simpli

nignag [31]

We need to write an expression for the operations:

$\begin{gathered} \text{ multiply 7 by 8} \\ \\ \text{dived f by the result} \end{gathered}$

The first operation (multiplication) can be represented as:

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The second operation (the division of f by the previous result) can be represented as:

$f\div(7\cdot8)$

Notice that we need the parenthesis to indicate that the product is the first operation to be done.

Answer:

$f\div(7\cdot8)$

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1 year ago