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2 years ago

34 + 4 ⋅ 5 = ____. (Input whole numbers only.)

Mathematics

2 answers:

Dimas [21]2 years ago

5 0

Answer:

34+3*5

34+15

49

Hope this helps :)

Step-by-step explanation:

Nady [450]2 years ago

4 0

PEDMAS says that we do the multiplication first
34+3*5
34+15
49 :)

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Consider the following hypothesis test:

Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0

3 years ago

The quadrilateral with the following vertices is a

Vesna [10]

Answer:

Parallelogram

Step-by-step explanation: You have to plot the points in a coordinate plane. If you do that and connect the dots you will get parallelogram.

8 0

2 years ago

If tan θ =(√3)/3, 0◦< θ < 360◦,

svetlana [45]

Arctan (√3 /3) = 30°. = π/6 rad

That is the value searched, in degrees and radians.

You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3

3 0

2 years ago

Can someone please help me with this math problem.

mr Goodwill [35]

PART A:
Find the rate of change between 1980 and 1989
d for P₁ = 80 - 60
d for P₁ = 20

d for P₂ = 76 - 82
d for P₂ = -6

The rate of change in P₁ is 20 hundred per year. The rate of change in P₂ is -6 hundred per year.

PART B:
Find the rate of change between 1989 and 1996
d for P₁ = 100 - 80
d for P₁ = 20

d for P₂ = 70 - 76
d for P₂ = -6

The rate of change in P₁ is 20 hundred per year. The rate of change in P₂ is -6 hundred per year.

PART C:
Find the rate of change between 1980 and 1996
d for P₁ = 100 - 60
d for P₁ = 40

d for P₂ = 70 - 82
d for P₂ = -12

The rate of change in P₁ is 40 hundred per year. The rate of change in P₂ is -12 hundred per year.

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3 years ago

A circle has a radius of 4m . find the length s of the arc intercepted by a central angle of 77° . do not round any intermediate

Hoochie [10]

$s= \pi r ( \frac{C}{180} ) \ \ \ \ [C= central \ angle, \ r=radius, \pi =3.14] \\ \\ s=3.14*4* \frac{77}{180}= 3.14* \frac{77}{45} \approx 5.4 \ m
$

8 0

2 years ago