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solmaris [256]
3 years ago
11

Trent wants to buy 2 packs of trading cards for 3 dollars each. The trading card packs that Trent normally buys tend to come in

packs of 6, 10, 12, or 15 cards. After selecting 2 packs, Trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. Trent uses this information to write the equations below in order to compare c, the number of cards in each pack.
Mathematics
1 answer:
Monica [59]3 years ago
6 0
43 I think because you add 6 and 10 and 12 and 15 you will get 43

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Please I need help
vitfil [10]

Answer:

10

Step-by-step explanation:

From R(-2,4) to S(3,4) is 5 units to the right. Then S(3,4) to T(3, −1) is 5 units down.

4 0
3 years ago
During the trip, the Morales family drove on several different highways. Gabriela and Luis noticed that sometimes the mile marke
Elenna [48]

<u><em>Answer:</em></u>

The slope of the line is 77

<u><em>Explanation:</em></u>

We know the speed is constant and that the mile-marker location over time can be represented by a line. This means that the equation is linear.

<u>The slope can, therefore, be calculated as follows:</u>

slope = \frac{y_2-y_1}{x_2-x_1}

where (x₁ , y₁) and (x₂ , y₂) are two points on the line

We are given that the two points (1, 123) and (3, 277) are two points in the line

<u>Substitute with them in the above equation to get the slope as follows:</u>

slope = \frac{277-123}{3-2}=77

Hope this helps :)

3 0
3 years ago
If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line in slope intercept form
aleksley [76]

Answer:

y=-2x+3

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope, b is the y-intercept, and y and x are their respective coordinates.

The questions gives us a coordinate pair and a slope so all we need to find is the y-intercept to find the equation.

Begin by plugging in what we know.

(3) = (-2)(0) + b

3 = 0 + b

3 = b

Plug in the y-intercept (b) and slope (m)

y=-2x+3

6 0
3 years ago
How do we express twice the sum of a tube and four
Bumek [7]

Answer:

Step-by-step explanation:

2(4 + x) = 34

4 + x = 34/2 = 17

x = 17 - 4 = 13

4 0
3 years ago
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ &lt; 55 A sample of 36 is used. Identify the p-value and state your con
Ket [755]

Answer:

Step-by-step explanation:

Given that:

H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }

Z = \dfrac{-1}{\dfrac{5.3}{6} }

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

b

For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

Z = \dfrac{-2}{\dfrac{4.6}{6} }

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

Conclusion: \  There  \ is \  sufficient \  evidence  \  to \  conclude \  that \mu < 55

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

6 0
3 years ago
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