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djyliett [7]
3 years ago
9

What is the period of `y = 1+ tan((1)/(2)x)`?

Mathematics
1 answer:
jonny [76]3 years ago
7 0
2π is the period of `y = 1+ tan((1)/(2)x)`
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Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain. A. No, they do not both mean the same
Yuri [45]

Answer:

B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.

Step-by-step explanation:

Given

Phrase 1: 6 less a number y

Phrase 2: 6 less than a number y

<em>Mathematically,</em>

Phrase 1 can be represented as follows;

y - 6

<em>Mathematically,</em>

Phrase 2 can be represented as follows;

y - 6

<em>Since the representation  of both phrases are the same, then option B answers the question.</em>

<em></em>

4 0
3 years ago
Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wed
vazorg [7]

-Answer:Option B: Increase the amount of money they save each month by $80 from what they've been saving.

Step-by-step explanation: Only option B will allow them to meet their goal.

7 0
2 years ago
Express this equation in logarithmic form. y = 10^x<br><br> x = ?
Lana71 [14]

From definition we have:

$x=\log_{10}y

8 0
3 years ago
A sample of 38 observations is selected from one population with a population standard deviation of 3.4. The sample mean is 100.
kaheart [24]

Answer:

a. two-tailed test

b. reject H0 if Z>1.96 or Z<-1.96

c. Z = 1.73

d. we have failed to reject the null hypothesis

e. P-value = 0.0418

Step-by-step explanation:

We will use a Z test to resolve this, an it will be a two-tailed test because the hypothesis statements are not indicating a specific direction for the significant difference (H0 : μ1 = μ2 ; H1 : μ1 ≠ μ2), this also means that the significanclevel will be divided between the both tails (2.5% en each tail for the rejection regions). See attached drawing for reference.

We need to find our critical value:

Zα/2 = Z(0.05/2) = 0.025

If we look for 0.025 in a Z table we will find that the critical value is 1.96 to the right, and by symmetry -1.96 to the left. So our decision rule will be to reject H0 if Z>1.96 or Z<-1.96

The Z test will be done using the next equation:

Z = (x⁻1 - x⁻2) - (μ1 - μ2) / √( σ²1/n1 + σ²2/n2

Because we are testing the null hypothesis we know that μ1 - μ2 must be zero if they are supposed to be equal (H0 : μ1 = μ2), so we calculate as follows:

Z = (100.5 - 98.8) - (0) / √( (3.4)²/38 + (5.8)²/51 = 1.7/0.9817 = 1.73

Z<1.96, therefore we have failed to reject the null hypothesis

The P-value for this test would be represented by the probability of Z being greater than 1.73, so we can look for it in any Z table, finding that its value is 0.0418, and because P-value>0.025 we again confirm that we don't have evidence statistically significant to reject the null hypothesis

4 0
3 years ago
DUE NOW PLEASE HELP ME
NISA [10]

Answer:

Step-by-step explanation: 16.990107955403875

•Rectangular prism - Multiply the measurement of the length times the width, then times the height  

•Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³  

•Prism - Find the area of the base, then multiply the area times the height of the prism. Area would be length times width (B), or B x h  

•Triangular prism - Find the area of the base (b), then multiply the area times the length (l) between the triangular bases. Area of the base would be ½ times the base times the height (h) of the triangle, or ½bhl  

•Cylinder - Find the area of the circular face using pi times the radius squared, then multiply that area times the height of the cylinder, so πr²h  

•Pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3Bh  

•Square pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3s²h  

•Rectangular pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3 lwh  

•Sphere - For a sphere, multiply 4/3 times pi, then time the radius cubed, or 4/3 πr³

6 0
3 years ago
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