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spayn [35]
3 years ago
13

hummingbirds beat their wings many times per second. which equation relates the number of wing beats per second (a) to the numbe

r of wing beats per minute (b)
Mathematics
2 answers:
Ann [662]3 years ago
7 0

Answer:

C

Step-by-step explanation:

EastWind [94]3 years ago
7 0

Answer:

b= a

60

Step-by-step explanation:

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In a study of red/green color blindness, 700 men and 2850 women are randomly selected and tested. Among the men, 66 have red/gre
olga55 [171]

Answer:

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

Step-by-step explanation:

Data given and notation  

X_{M}=66 represent the number of men with red/green color blindness.

X_{W}=8 represent the number of women with red/green color blindness.

n_{M}=700 sample of male slected

n_{W}=2850 sample of female selected

p_{M}=\frac{66}{700}=0.0943 represent the proportion of male with red/green color blindness.

p_{W}=\frac{8}{2850}=0.00281 represent the proportion of female with red/green color blindness.

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion of men with red/green color blindness. is higher than the proportionof women with red/green color blindness. , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{66+8}{700+2850}=0.0208

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

8 0
3 years ago
Find the sum of the arithmetic sequence 1, 3, 5, 7, … , 99.
bezimeni [28]

The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

<h3>What is Sequence?</h3>

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given sequence is 1, 3, 5, 7, … , 99.

It is a arithmetic sequence, the difference between two consecutive terms will be same

d=3-1=2

first term a=1

l=last term =99

We need to find 99 is which term in the sequence

Aₙ = a + ( n - 1 ) d

99=1+(n-1)2

99=1+2n-2

99=2n-1

100=2n

Divide both sides by 2

50=n

Now we need to find the sum of 50 terms

Sₙ=n/2(l+d)

=50/2(99+2)

=25(101)

=2525

Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

To learn more on Sequence click:

brainly.com/question/21961097

#SPJ1

6 0
1 year ago
What value of x is in the solution set of 3(x – 4) &gt; 5x + 2?
bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

- 2x - 14 > 0

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

x + 7 < 0

Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

x <  - 7

Or, Interval of the equal (- \infin, -7 ]

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
The probability that lucy will do. The drawing is 0.125. What is the probability that she will not win
gogolik [260]

Answer:

probability is alway 1 or less than 1

therefore the probability is 0.125/1

3 0
2 years ago
There are 12 students running for three student coun-
anyanavicka [17]
Must be

(c) 12.11.10

Or

(d) 12
8 0
3 years ago
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