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2 years ago

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Mathematics

1 answer:

777dan777 [17]2 years ago

6 0

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The Yoga class you wish to take is offering two price quotes: $120 for 5 weeks as (15 classes) or $160 for 8 weeks (24 classes).

True [87]

The answer is B $1.05

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3 years ago

Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few y

Shalnov [3]

Answer:

p value = 0.039

t = - 2.169

Step-by-step explanation:

Applying the null and alternate hypothesis

$H_{0} : U1 = U2$

$H_{\alpha } : U1 \neq U2$

using excel worksheet to calculate for ( t and p )

t = -2.169

p = 0.039

from the results obtained

The conclusion is affected by the significance level because : 0.1 < p > 0.01

so when the significance level is = 0.1 the Null hypothesis is rejected and we can say the mean time interval will change while

if the significance level = 0.01 the Null hypothesis is accepted and we can not say the mean time interval has changed because the p -value is greater than 0.01

attached is the excel solution

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3 years ago

Find the distance between the points given.

Maru [420]

Use the distance formula

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2$

Input corresponding numbers

$d = \sqrt {\left( {2- 6} \right)^2 + \left( {5-8} \right)^2$

Solve

$d = \sqrt {\left( {-4} \right)^2 + \left( {-3} \right)^2$

$\sqrt{16 + 9}$

$\sqrt{25} = 5\\\\ d=5$

So, the distance between the points given is 5

4 0

3 years ago

Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3

Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051 degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

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3 years ago

In a class 28 of students, 5 are female and 19 have an A in the class. There are 2 students who are female and have an A in the

telo118 [61]

Step-by-step explanation:

Of the 28 students, 5 are female. So the probability is 5/28.

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3 years ago