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Lera25 [3.4K]
3 years ago
14

Explain how to draw an area model to represent 2x15.

Mathematics
1 answer:
lana [24]3 years ago
3 0
2 which is the height and 15 would be the width.

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Please help!! 20 POINTS
rjkz [21]

f(-3) would be 36.

When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.

2x^2 - 5x + 3

Now we can put -3 into the equation and solve.

2(-3)^2 - 5(-3) + 3

2(9) + 15 + 3

18 + 15 + 3

36

7 0
3 years ago
A) Antoine's family is taking a summer vacation through the northern united states on day one of the trips the family will be tr
kirill115 [55]

Answer:

<h2>621.207km</h2>

Step-by-step explanation:

We are expected to convert from miles to kilometer

first day 85 miles =136.794km

Second day 125 mile=201.168km

third day 176 miles =283.245km

Total distance covered is

136.794km+201.168km+283.245km=621.207km

Therefore the total distance in kilometer is 621.207km

8 0
3 years ago
The height of a kicked football can be represented by the polynomial –15t2 + 17t + 4, where t is the time in seconds. Find the f
lozanna [386]

Answer:

(−5t−1)(3t−4)

Step-by-step explanation:

Factor −15t2+17t+4

−15t2+17t+4

=(−5t−1)(3t−4)

6 0
3 years ago
A cone's height is equal to the radius of its base. The area of its base is 1,386 square units. The approximate radius of the co
maxonik [38]

Answer:

  • 21 units
  • 9702 units³

Step-by-step explanation:

The area of the base is given by the formula ...

  A = πr²

so the radius is ...

  r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units

__

The volume is given by ...

  V = (1/3)Bh

where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...

  V = (1/3)(1386)(21) = 9702 . . . . cubic units

4 0
3 years ago
An SRS of 100 flights of a large airline (airline 1) showed that 64 were on time. An SRS of 100 flights of another large airline
IRINA_888 [86]

Answer:

Option b) between 0.05 and 0.01.

Step-by-step explanation:

We are given the following in the question:

x_1 = 64\\n_1 = 100\\x_2 = 80\\n_2 = 100

Let p_1 and p_2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective.

p_1 = \dfrac{x_1}{n_1} = \dfrac{64}{100} = 0.64\\\\p_2 = \dfrac{x_2}{n_2} = \dfrac{x_2}{n_2} = \dfrac{80}{100}= 0.8

First, we design the null and the alternate hypothesis

H_{0}: p_1 = p_2\\H_A: p_1 \neq p_2

We use Two-tailed z test to perform this hypothesis.

Formula:

\text{Pooled P} = \dfrac{x_1+x_2}{n_1+n_2}\\\\Q = 1 - P\\\\Z_{stat} = \dfrac{p_1-p_2}{\sqrt{PQ(\frac{1}{n_1} + \frac{1}{n_2})}}

Putting all the values, we get,

\text{Pooled P} = \dfrac{80+64}{100+100} = 0.72\\\\Q = 1 - 0.72 = 0.28\\\\Z_{stat} = \frac{0.64-0.8}{\sqrt{0.72\times 0.28(\frac{1}{100} + \frac{1}{100})}} = -2.5198

Now, we calculate the p-value from the table at 0.05 significance level.

P-value = 0.01174

Since,

0.05 > 0.01174 > 0.01

Thus, the correct answer is  

Option b) between 0.05 and 0.01.

6 0
3 years ago
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