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valkas [14]
3 years ago
14

Find the value of cos 0 , If sec 0 = 3/2 0 < 90

Mathematics
2 answers:
UNO [17]3 years ago
7 0

Answer:

Step-by-step explanation:

cos theta is 2/3 because  cos means reciprocal of sec

Evgesh-ka [11]3 years ago
4 0

Answer:

option C

Step-by-step explanation:

sec\theta = \frac{1}{cos\theta}\\\\\frac{3}{2}= \frac{1}{cos\theta}\\\\cos\theta = \frac{1}{\frac{3}{2}} = \frac{2}{3}

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At a local track meet, RCMS won 3 blue ribbons than red ribbons. They also won 7 more yellow ribbons than red ribbons. RCMS won
erma4kov [3.2K]
Let no red ribbons=x
no. Of blue ribbons=x+3
No. Of yellow ribb9ns=x+7
Totsl ribbons=28
28=x+x+3+x+7
28=3x+10
3x=28-10
3x=18
X=18/3
X=6

No .of red ribbons=6
No. Of blue ribbons=x+3=9
No. Of yellow ribbons=x+7=13
5 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
Stells [14]

Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0
3 years ago
Find 1/9 of 3/4 of 24
fomenos
First, find 3/4 of 24. 24/4=6, 6x3= 18. Now, find 1/9 of 18. 18 divided by the denominator, 9, is 2. Since the numerator is one, our answer remains as 2. So yeah, the answer is 2.
4 0
3 years ago
Read 2 more answers
I need to find X thank you
Pani-rosa [81]
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8 0
3 years ago
A survey of voters explored the relationship between the ages of voters and wether or not they support building skateboard ramps
Novosadov [1.4K]

Answer:

(a)12%

(b)20%

(c)49%

Step-by-step explanation:

(a)In the age group 58 and above:

  • Number in favor of building the skateboard ramps=6
  • Number opposed to building the skateboard ramps=44
  • Total = 50

Percentage of those in favor = \frac{6}{50}X100 =12\%

(b)In the age group 18-37

  • Number in favor of building the skateboard ramps=40
  • Number opposed to building the skateboard ramps=10
  • Total = 50

Percentage of those opposed to it = \frac{10}{50}X100 =20\%

(c)

  • Total Number of those in favor of building the skateboard ramps=73
  • Total Number opposed to building the skateboard ramps=77
  • Total = 150

Percentage of those in favour = \frac{73}{150}X100 =48.67 \approx 49\%

6 0
3 years ago
Read 2 more answers
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