Ask question

Ask question

All categories

2 years ago

9

The table shows the shipping costs for items of different values. A 2-column table with 4 rows. The first column is labeled tota

l cost of items (in dollars) with entries 25, 45, 50, 70. The second column is labeled shipping costs (in dollars) with entries 5.99, 8.99, 8.99, 10.99. Which best describes the strength of the model? a weak positive correlation a strong positive correlation a weak negative correlation a strong negative correlation

2 answers:

Lisa [10]2 years ago

4 0

A strong positive correlation.

Step-by-step explanation:

The question requires you to calculate the correlation coefficient and then make a conclusion about its value.

Form a table as shown where x is cost of items and y is shipping cost

x y xy x² y²

25 5.99 149.8 625 35.9

45 8.99 404.6 2025 80.8

50 8.99 449.5 2500 80.8

70 10.99 769.3 4900 120.8

190 34.96 1773.2 10050 318.3 ------sum

The formula for correlation coefficient follows;

r=n(∑xy)-(∑x)(∑y) ÷ √{[n∑x²-(x)²] [n∑y²-(y)²]}

where n=4

r=4(1773.2)-(190)(34.96) ÷ √{[4(10050)-190²] [4(318.3)-34.96²]}

r=450÷ √{4100*51)

r=450÷√209100

r=450÷457.3

r=0.98409

The value of r indicates a stronger positive correlation

Learn More

Correlation coefficient :brainly.com/question/12528676

Keywords :shipping costs,cost of items, strength of the model

#LearnwithBrainly

krok68 [10]2 years ago

3 0

Answer:

B

Step-by-step explanation:

a strong positive correlation

You might be interested in

You are a pharmacy technician. You need to prepare a 0.85-gram dose of a liquid antibiotic. The medicine is concentrated at 250

Xelga [282]

Answer:

17mL

Step-by-step explanation:

Convert 0.85 gr to miligrams

If 100 mg is 1 gr. Then, 0.85 gr is 850 mg

So, 850 multiply for 5ml and divide for 250 ml

or $850mg \frac{5ml}{250mg}$

So all mg is gone and the amount of mililiters is 17

5 0

2 years ago

Read 2 more answers

A spinner has five congruent sections, one each of blue, green, red, orange, and yellow. Yuri spins the spinner 10 times and rec

Burka [1]

Answer:

S = {AB, AC, BC}

Step-by-step explanation:

3 0

1 year ago

the chorus has 35 members. which expression represents the number of ways a group of 6 members can be chosen to do a special per

zimovet [89]

You have to choose $6$ members from the group of $35$ people. So there are $\binom{35}{6}$ ways to do it.

3 0

2 years ago

Read 2 more answers

Please answer all of them need this

VikaD [51]

First Question

For a better understanding of the solution provided here please find the first attached file which has the diagram of the the isosceles trapezoid.

We dropped perpendiculars from C and D to intersect AB at Q and P respectively.

As can be seen in $\Delta BCQ$ , we can easily find the values of CQ and BQ.

Since, $Sin(75^0)=\frac{CQ}{8}$

$\therefore CQ=8\times Sin(75^0)\approx 7.73$ ft

In a similar manner we can find BQ as:

$Cos(75^0)=\frac{BQ}{8}$

$BQ\approx2.07$ ft

All these values can be found in the diagram attached.

Thus, because of the inherent symmetry of the isosceles trapezoid, PQ can be found as:

$PQ=22-(AP+QB)=22-(2.07+2.07)=17.86$

Let us now consider $\Delta AQC$

We can apply the Pythagorean Theorem here to find the length of the diagonal AC which is the hypotenuse of $\Delta AQC$ .

$AC=\sqrt{(AQ)^2+(QC)^2}=\sqrt{(AP+PQ)^2+(QC)^2}=\sqrt{(2.07+17.86)^2+(7.73)^2}\approx21.38$ feet.

Thus, out of the given options, Option B is the closest and hence is the answer.

Second Question

For this question we can directly apply the formula for the area of a triangle using sines which is as:

Area= $\frac{1}{2}$ (First Side)(Second Side)(Sine of the angle between the two sides)

Thus, from the given data,

Area= $\frac{1}{2}\times 218.5\times 224.5\times sin(58.2^0)\approx20845$ $m^2$

Therefore, Option D is the correct option.

Third Question

For this question we will apply the Sine Rule to the $\Delta ABC$ given to us.

Thus, from the triangle we will have:

$\frac{AB}{Sin(\angle C)}=\frac{BC}{Sin(\angle A)}$

$\frac{c}{Sin(\angle C)}=\frac{a}{Sin(\angle A)}$

$\frac{17}{Sin(25^0)}=\frac{a}{Sin(45^0)}$

This gives $a$ to be:

$a\approx28.44$

Which is not close to any of the given options.

Fourth Question

Please find the second attachment for a better understanding of the solution provided her.

As can be clearly seen from the attached diagram, we can apply the Cosine Rule here to find the return distance of the plane which is CA.

$AC=\sqrt{(AB)^2+(BC)^2-2(AB)(BC)\times Cos(\angle B)}$

$\therefore AC=\sqrt{(172.20)^2+(111.64)^2-2(172.20)(111.64)\times Cos(177.29^0)}\approx283.8$ miles.

Thus, Option D is the answer.

8 0

2 years ago

Read 2 more answers

Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with para

kvasek [131]

Answer:

(a) 0.932

(b) 0.0653

(c) 0.032

(d) 0.316

(e) 0.251

Step-by-step explanation:

From the table with mean parameter μ = 5, we can compute the following cumulative and density probability

(a) $P(X \leq 8) = 0.932$ (cumulative)

(b) P(X = 8) = 0.0653 (density)

(c) $P(9 \leq X) = 1 - P(X \leq 9) = 1 - 0.968 = 0.032$ (cumulative)

(d) $P(5 \leq X \leq 8) = P(X \leq 8) - P(X \leq 5) = 0.932 - 0.616 = 0.316$ (cumulative)

(e) $P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251$

5 0

2 years ago