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dimaraw [331]
3 years ago
11

Find each angle measure to the nearest degree. 15) tan C = 0.1405

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

C=8^o

Step-by-step explanation:

To find the angle C given the equation tan(C)=0.1405, use the "arctan" function [which is the inverse function of tangent] on both sides of the equation as shown below:

tan(C)=0.1405\\arctan(tan(C)) = arctan(0.1405)\\C=arctan(0.1405)\\C=7.9977^o

This can be rounded to the nearest degree as: C=8^o

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alina1380 [7]

Answer:

3. 224 cm3

4. 35 cm3

5. 60 cm3

Step-by-step explanation:

To find the volume you need to multiple the base times the height times the length.

3 0
3 years ago
In a random sample of n1 = 162 males, there are x1 = 63 people that have blue eyes. In a random sample of n2 = 333 females, ther
sesenic [268]

Answer:

z = 2.1784 > 1.96,

Reject the null hypothesis

Step-by-step explanation:

For the males:

n1  = 162, x1 = 63

P1 = x 1/ n1 = 0.3889

For the Females:

n2 = 333,

x2 = 97

P 2 = x2/n2

= 0.2913

P 1= P2 Null hypothesis

P 1 is not equal to P 2 alternative hypothesis

Pooled proportion:

P= (x1 + x2) /( n1+ n2)

= (63 + 97) / (162 + 333)= 0.3232

Test statistics :

Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)

0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)

=2.1784

c) Critical value :

Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960

Reject H o if z < -1.96 or if z > 1.96

d) Decision:

z = 2.1784 > 1.96,

Reject the null hypothesis

7 0
3 years ago
The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days
Lelu [443]
Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

7 0
4 years ago
PLEASE HELP IM STUCK PLS
QveST [7]

Answer:

<u>The slope is -3.</u>

Step-by-step explanation:

The slope is the Rise/Run between the two points.  The change in y for every change in x.  Take the two points and calculate the:

RISE = (-6 - 3) = -9

RUN = (8 - 5) = 3

Rise/Run, or slope, is = -9/3 or -3

I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.

3 0
2 years ago
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IRISSAK [1]

Answer:

x= 35

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supposing we are finding x, we know that the line in the middle is the dimeter. so we know its a semicircle with an arc of 180 degrees. 180-110=70 divide that by two to get x which is 35.

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3 years ago
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