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Artyom0805 [142]
2 years ago
12

A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teache

rs who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3.3 out of 5 with a standard deviation of 0.6. When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3.5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of 1%. Which of the following statements is valid based on the results of the test
a. The data shows that the authors make a stong proint with the date
b. The data shows that the authors cannot make a determination either way with this data.
c. 70% teachers are not satisfied with their jobs
d. None of the above
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0
The answer is b. the data shows that the authors connot make a determination either way with this data.
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Emily is making a punch that contains 75% apple juice and the rest ginger ale. The punch has 2 liters of ginger ale.
uysha [10]

Answer:

A.  0.25x = 2   B. 6

Step-by-step explanation:

25% of the total number of liters of juice = 2

this means that

the total number of liters of juice = \frac{2}{.25} = 8

the total number of liters of juice = the apple juice + the ginger ale

the ginger ale = the total number of liters of juice  - the apple juice

so

the ginger ale amount = 8 - 2 = 6

5 0
2 years ago
et p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.” Which represents p ∧ q? He
Elodia [21]
P = he is wearing a coat
q = the temperature is below 30 degrees Fahrenheit

The expression p ^ q means "p and q"
So we replace p and q with the defined expressions above to get this answer

"He is wearing a coat and the temperature is below 30 degrees Fahrenheit"

This is a conjunction
7 0
2 years ago
Consider the point. (2, 4, 5) What is the projection of the point on the xy-plane? (x, y, z) = What is the projection of the poi
Karolina [17]

Answer:

Step-by-step explanation:

Given is a point (2,4,5) in 3 dimension.

a) The projection of the point on xy plane would be with coordinate z=0 and same x,y coordinates

i.e. (2,4,0)

Similarly projection xz plane would be (2,0,5)

and projection on yz plane is (0,4,5)

If (2,4,5) is opposite vertex and faces are parallel to the coordinate planes

we would have the sides as xy plane yz plane and zx plane with extreme vertex as (2,4,5)

So all the 6 vertices would be

(0,0,0) (0,4,5) (2,0,5) (2,4,0) (0,4,0) (0,0,5) and (2,0,0),(2,4,0)

8 0
2 years ago
The diagram shows the position of two towns, Alton and Barking.
skad [1K]

Answer:

  216°

Step-by-step explanation:

The difference between the bearing from B to A and the bearing from A to B is 180°. Here, the difference between the two bearings is ...

  6b -b = 180°

  b = 180°/5 = 36°

  6b = 6·36° = 216°

The bearing of Alton from Barking is 216°.

7 0
2 years ago
Seams Personal advertises on its website that 95% of customer orders are received within four working days. They performed an au
Bezzdna [24]

Answer:

a. Yes(n=500>=5, n(1-p)=25>=5)

b. 0.15241

Step-by-step explanation:

a. A normal approximation to the binomial can be used  n\geq5 and n(1-p)>=5:

#We calculate our p as follows:

\hat p=x/n=470/500=0.94

n=500

n(1-p)=500(1-0.95)=25

Hence, we can use the normal approximation.

b. This is a normal approximation.

-Given that p=0.95(95%)

-We verify if our distribution can be approximated to a normal:

np=0.95\times 500=475\\n(1-p)=500(1-0.95)=25\\\\np\geq 5,\ n(1-p)\geq 5

Hence, we can use the normal approximation of the form:

P_{bin}(k,n,p)->N(\mu,\sigma^2)\left \{ {{\mu=np=475} \atop {\sigma=\sqrt{np(1-p)}=4.8734}} \right. \\\\\\P_{bin}(k\leq 470)\approx P_{norm}(x\leq 470.5)=P_{norm}(z\leq \frac{470-475}{4.8734})\\\\P_{norm}(z\leq -1.0260)=0.15241

Hence, the probability of the sample proportion  is the same as the proportion of the sample found is 0.15241

3 0
2 years ago
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