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NNADVOKAT [17]
3 years ago
13

Enter the coordinates of the point on the unit circle at the given angle. 135° (-VII, VI Enter​

Mathematics
1 answer:
vekshin13 years ago
4 0
Related angle is 45 degrees, set up a triangle and use exact trig values to solve for x and y, then rationalise the denominators

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How do I find the slope of a coordinate plane?
kolezko [41]
Look at the rise over run for it. That is the slope. Btw can u answer my last question thx
6 0
3 years ago
Poisoning by the pesticide DDT causes convulsions in humans and other mammals. Researchers seek to understand how the convulsion
denpristay [2]

Answer:

Step-by-step explanation:

Hello!

The researchers made a comparative experiment to test the convulsive effects of DDT. They had two groups of 6 rats each, one of them was given the pesticide, the other wasn't treated with any kind of substance (control group) Then the nerve activity was measured.

Given the samples:

X₁: Electrical response of a rat's leg after the rat has eaten poison. (height of the second spike)

12.207, 16.869, 25.050, 22.429, 8.456, 20.589

n₁= 6

X[bar]₁= 17.60

S₁= 6.34

X₂: Electrical response of a rat's leg. (height of the second spike)

11.074, 9.686, 12.064, 9.351, 8.182, 6.642

n₂= 6

X[bar]₂= 9.50

S₂= 1.95

The objective is to compare both samples electrical response to determine if the relative height of the second spike is affected by DDT (if it is the mean height of the spike of rats that are poisoned will be different to the mean height of the spike of the rats that aren't poisoned)

H₀: μ₁ = μ₂

H₁:  μ₁ ≠ μ₂

α: 0.05 (the significance level is not determined so I've choosen the most common one.)

I've performed a normality test for both samples, with p-value 0.7078 X₁ has a normal distribution and p-value 0.9367 X₂ has a normal distribution.

To compare both means, considering that both samples are small, and there is no information regarding the population variances, the most accurate statistic to use is the student t.

The p-value for variance homogenecy test is 0.1108 so the population variances are unknown but equal, so the test is a pooled t with pooled sample variance:

(Note I've compared all p-values to α: 0.05 )

t= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }

Sa^2= \frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2}

Sa^2= \frac{(5*40.20)+(5*3.80)}{6+6-2} = 22

Sa= 4.69

t_{H_0}= \frac{17.60-9.50-0}{4.69\sqrt{\frac{1}{6}+\frac{1}{6}  } }= 2.99

This test is two tailed with n₁+n₂-2 degrees of freedom, the p-value is:

p- value: 0.013574

The decision at 5% significance level is to reject the null hypothesis.

b. The p-value in a. indicates that 1.3574% of all samples taken will result that the mean height of the spike of rats poisoned with DDT will be different from the mean height of the spike of rats that were not poisoned.

I hope it helps!

3 0
3 years ago
Can any one please help me I really need help please help me thank you
lina2011 [118]

Answer:

Jack has to sell the old computers worth $8000

Step-by-step explanation:

Jack is paid for selling used computers = $15 per hour plus 5% commission

Let the revenue generated from selling the computers by him = $x

He will be paid for 40 hours = $(40×15) = $600

Commission earned by selling x computers = $0.05x

Total amount earned by him in 40 hours week = 600 + 0.05x

If this amount is $1000,

$1000 = $(600 + 0.05x)

0.05x = 1000 - 600

0.05x = 400

x = \frac{400}{0.05}

x = $8000

Therefore, Jack has to sell the old computers worth $8000.

7 0
3 years ago
Graph the equation using the slope and y-intercept.<br> y = 1/2x - 3​
joja [24]

Answer:

Step-by-step explanation:

6 0
3 years ago
jill measured the length of her eraser. She wrote 5 on her paper without the unit. Which metric unit of measure should Jill incl
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Its either centimeters or inches.
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7 0
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