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2 years ago

Which equation best represents a trend line for the scatter plot? These are fractions BTW.

Mathematics

2 answers:

kenny6666 [7]2 years ago

6 0

(1, 8) and (7,1)
slope = (8-1)/(1-7) = -7/6
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6

equation
y = -7/6(x) + 55/6

answer
<span>y=−7/6 x+55/6 </span>

RUDIKE [14]2 years ago

5 0

A would Be your answer

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Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are

Nastasia [14]

Answer:

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

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.36$ estimated proportion with the survey

$p_o=0.41$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:

Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

When we conduct a proportion test we need to use the z statistic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

8 0

3 years ago

Read 2 more answers

During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet

Leno4ka [110]

Answer:

$25t+19\leq 144$

$t\leq5$

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = $19+25t$

Now, as per question, the total depth should not be more than 144 feet. So,

$\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144$

Solving the above inequality for time 't', we get:

$25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min$

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0

3 years ago

Using a multiple of ten for at least one factor write an equation with a product that has four zeros

PtichkaEL [24]

Answer:

The required equation is : 5 · 4000 = 20,000

Step-by-step explanation:

We have to use multiple of 10 for at least one factor.

So, in order to form our equation, we take one factor as 4000 which is a multiple of 10 (10 × 400 = 4000)

And the other condition to form the equation is given that the product should contain 4 zeros, so we need to multiply the first factor 4000 by some number such that the product contains 4 zeros.

Therefore, if we multiply 4000 by 5 we get the product as 20000 which contains 4 zeros.

Hence, 5 × 4000 = 20,000 is our required equation.

8 0

2 years ago

Susannah bought eggs for $0.79 per carton. She spent a total of $6.32. How many cartons did she buy?

Rzqust [24]

6.32 divided by 0.78= 8 cartons

5 0

2 years ago

A cube has edge length 3 in. What is its volume in inches cubed?

Nadusha1986 [10]

Answer:

$Volume = 33 = 27 inches^{3}$

Can u gimme brain plz!

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5 0

2 years ago