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antoniya [11.8K]
3 years ago
12

Which equation is correct

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0
1. Two of the main identities used in trigonometry for right triangles (Triangles that have an angle of 90°) are: Sine (Sin) and Cosine (Cos).


 Sin x°=Opposite/Hypotenuse

 Cos x°=Adjacent/Hypotenuse

 2. The inverse of Sinx° is Cosec x°, then:

 Cosec x°=1/Sin x°

 3. The inverse of Cos x° is Sec x°, then:

 Sec x°=1/Cos x°

 4. Keeping this on mind, you have:

 Cosc x°=Hypotenuse/Opposite

 Sec x°=Hypotenuse/Adjacent

 5. Therefore, the correct answer is:

 The third option: Cosec x°=Hypotenuse/Opposite.
Murljashka [212]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i
strojnjashka [21]

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

  • Population mean = \mu = $150
  • Population standard deviation = \sigma = $30.20
  • Sample mean = \overline{x} = $160
  • Sample size = n = 40 > 30
  • Level of significance = \alpha = 2.5% = 0.025
  • We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

  • Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: H_0: \mu_0 \leq \mu = 150
  • Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically H_1: \mu_0 > \mu = 150

where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

3 0
2 years ago
Read 2 more answers
What are the excluded values for m+4m+2=8m+2?
aliina [53]
That equation is the same as 3m=0, only m=0 works. Do you think they want you to say, all numbers but zero are excluded? Or is the equation different?
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10. In what year would you expect 5% of the<br> U.S. population to smoke cigarettes?
MissTica
Sadly, 14% of US smokes that’s just adult
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3 years ago
Find the slope of a line perpendicular to 6x-2y=-3
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Answer:

the slope is -3

Step-by-step explanation:

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3 years ago
In two or more complete sentences, explain how to solve the cube root equation, <img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3
nordsb [41]
Isolate the root expression:

\sqrt[3]{x+1}+2=0\implies\sqrt[3]{x+1}=-2

Take the third power of both sides:

\sqrt[3]{x+1}=-2\implies(\sqrt[3]{x+1})^3=(-2)^3

Simplify:

(\sqrt[3]{x+1})^3=(-2)^3\implies x+1=-8

Isolate and solve for x:

x=-9

Since the cube root function is bijective, we know this won't be an extraneous solution, but it doesn't hurt to verify that this is correct. When x=-9, we have

\sqrt[3]{-9+1}=\sqrt[3]{-8}=\sqrt[3]{(-2)^3}=-2

as required.
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