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galina1969 [7]
3 years ago
7

Solve for t. −5t≥70 t≤75 t≥75 t≤−14 t≥−14

Mathematics
1 answer:
trapecia [35]3 years ago
5 0
<span>t≤−14. You have to divide the -5t by -5 to get the t by itself and then you have to divide 70 by -5</span>
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If cos A = 3 over 11, then which of the following is correct?
ziro4ka [17]

Answer:  The answer is (a) sec A = 11 over 3.



Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,

i.e.,

\cos A=\dfrac{3}{11}.

And we need to find which one of the given four options is correct.

We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

\sec A=\dfrac{1}{\cos A}~~\textup{and}~~\csc A=\dfrac{1}{\sqrt{1-\cos^2 A}}.

Therefore,

\sec A=\dfrac{11}{3}

and

\csc A=\dfrac{1}{\sqrt{1-\frac{9}{121}}}=\dfrac{1}{\sqrt{\frac{112}{121}}}=\dfrac{11}{4\sqrt 7}.

Thus, the correct option is (a)  sec A = 11 over 3.

3 0
3 years ago
Let the sample size of leg strengths to be 7 and the sample mean and sample standard deviation be 630 watts and 32 watts, respec
Colt1911 [192]

Answer:

a. There is_<u><em>sufficient</em></u> evidence that the leg

C. 0.010 < P-value < 0.025

b. Power of test = 1- β=0.2066

c. So the sample size is 88

Step-by-step explanation:

We formulate the null and alternative hypotheses as

H0 : u1= u2 against Ha : u1 > u2 This is a right tailed test

Here n= 7 and significance level ∝= 0.005

Critical value for a right tailed test with 6 df is 1.9432

Sample Standard deviation = s= 32

Sample size= n= 7

Sample Mean =x`= 630

Degrees of freedom = df = n-1= 7-1= 6

The test statistic used here is

Z = x- x`/ s/√n

Z= 630-600 / 32 / √7

Z= 2.4797= 2.48

P- value = 0.0023890 > ∝ reject the null hypothesis.

so it lies between 0.010 < P-value < 0.025

b) Power of test if true strength is 610 watts.

For  a right tailed test value of z is = ± 1.645

P (type II error) β= P (Z< Z∝-x- x`/ s/√n)

Z = x- x`/ s/√n

Z= 610-630 / 32 / √7

Z=0.826

P (type II error) β= P (Z< 1.645-0.826)

= P (Z> 0.818)

= 0.7933

Power of test = 1- β=0.2066

(c)

true mean = 610

hypothesis mean = 600

standard deviation= 32

power = β=0.9

Z∝= 1.645

Zβ= 1.282

Sample size needed

n=( (Z∝ +Zβ )*s/ SE)²

n=  ((1.645+1.282) 32/ 10)²

Putting the values  and solving we get 87.69

So the sample size is 88

5 0
3 years ago
What is the correct method of solving the equation x/3-6=9 for x?
AveGali [126]

Answer: The value of x is 45

Step-by-step explanation:

The equation x/3-6=9 is a linear equation, where x/3 is the same as one-third of x.

Thus it is easily simplified as such:

x/3-6=9

Collect like terms

x/3 = 9 + 6

x/3 = 15

i.e (1/3) of X = 15

To get the value of x, cross multiply

x = 3 x 15

x = 45

Thus, the value of x is 45

6 0
3 years ago
Mae Ling earns a weekly salary of 400 plus a 7% commission sales in a gift shop. How much would she make in a work week if she s
11111nata11111 [884]
Im pretty sure its 4,771 but id double check with a calculator

7 0
3 years ago
What does (2+3) +4^2 x (5-3) equal
givi [52]

Answer:

37

Step-by-step explanation

Do what is in the parenthesis first

(5)+4^2x(2)

Exponents next

4^2=16

5+16x2

Multiplication next

16x2=32

You're left with the equation 5+32=37

6 0
3 years ago
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