A normal distribution has a mean of 0.40 and standard deviation of 0.028. What percentage of observations will lie between 0.372 and 0.428?

Answers

Answer 1

Answer: Solution:
To evaluate for P(0.372<x<0.428) we shall proceed as follows:
z-score is given by:
z=(x-μ)/σ
thus when x=0.372:
z=(0.372-0.4)/0.028
z=-1
thus
P(x<0.372)=P(z<-1)=0.1587

when x=0.428
z=(0.428-0.4)/(0.028)=1
P(x<0.428)=P(z<1)=0.8413
thus
P(0.372<x<0.428) =P(z<1)-P(z<-1)=0.8413-0.1587=0.6826

Answer 2

Answer:

Final answer:

To find the percentage of observations between two values in a normal distribution, we can convert the values to z-scores and use a z-table to find the corresponding areas. In this case, the percentage of observations between 0.372 and 0.428 is 68.26%.

Explanation:

To find the percentage of observations that will lie between 0.372 and 0.428 in a normal distribution with a mean of 0.40 and standard deviation of 0.028, we need to find the area under the curve between these two values.

Using a standard normal distribution table or z-table, we can convert the values to z-scores by subtracting the mean and dividing by the standard deviation. The z-score for 0.372 is (0.372 - 0.40) / 0.028 = -1, and the z-score for 0.428 is (0.428 - 0.40) / 0.028 = 1.

By looking up the corresponding area for these z-scores in the z-table, we find that the area to the left of -1 is 0.1587 and the area to the left of 1 is 0.8413. To find the percentage between -1 and 1, we subtract the smaller area from the larger area: 0.8413 - 0.1587 = 0.6826 or 68.26%.

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copy and complete the table for the equation x^2 3x-2. Create a graph to estimate the solutions for the equation x^2 3x-2=0

Answers

Answer:

Unfortunately, I can't see the table so I can't help you there :(

But to create a graph:

We can just plug in different points and connect them! Remember, the squared makes it a parabola, so your graph should have a similar U-shaped look. If you want to see the solutions in the graph, just look for places where y=0, or where there's a point on the x-axis.

Choose the equivalent system of linear equations that will produce the same solution as the one given below.6x + 2y = −6
3x − 4y = −18

12x + 4y = −12
15x = −30
8x + 4y = −4
14x = −10
6x − 8y = −36
−6y = −42
6x − y = −15
3y = 9

Answers

The given system of equation:
$6x+2y=-6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* 2 \n3x-4y=-18 \n \n12x+4y=-12 \n\underline{3x-4y=-18 \ \ } \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \nx=-2 \n \n3x-4y=-18 \n3 * (-2)-4y=-18 \n-6-4y=-18 \ \ \ \ \ \ \ \ \ \ \ \ |+6 \n-4y=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-4) \ny=3 \n \n(x,y)=(-2,3)$

Answer options:
1.
$12x+4y=-12 \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \n \n12x+4y=-12 \nx=-2 \n \n12 * (-2)+4y=-12 \n-24+4y=-12 \ \ \ \ \ \ \ \ \ \ |+24 \n4y=12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 4 \ny=3 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

2.
$8x+4y=-4 \n14x=-10 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 14 \n \n8x+4y=-4 \nx=-(10)/(14)=-(5)/(7) \n \nx=-(5)/(7) \not= -2 \n\hbox{not the same solution}$

3.
$6x-8y=-36 \n-6y=-42 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-6) \n \n6x-8y=-36 \ny=7 \n \ny=7 \not= 3 \n\hbox{not the same solution}$

4.
$6x-y=-15 \n3y=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \n \n6x-y=-15 \ny=3 \n \n6x-3=-15 \ \ \ \ \ \ \ \ \ |+3 \n6x=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 6 \nx=-2 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

The equivalent systems of equations are 1 and 4:
12x+4y=-12
15x=-30
and
6x-y=-15
3y=9

Answer:12x+4y=-12

15x=-30

Step-by-step explanation:

just took the test and had to use the answer below to get it right but they got to answers :// thats dumb but theres the answer start forward

YOUR WELCOME

The number of 8th graders in choir is three times the number of the 7th graders. if there are 48 8th graders choir how.many 7th graders are in choir

Answers

divide 48 by 3, for every three 8th graders, there is one 7th grader in choir
48÷3=16
There's 16 7th graders in choir !!

Rosie works 40 hours a week as an office manager. If she made $23,920 last year, how much was she paid per hour?

Answers

Hey there..
Lets solve this questions in steps..

Step 1 - we need to know that how many weeks are there in 1 year
so, there are 52.17 weeks but the round figure is 52 weeks.

Step 2 - we know that shawn worked 40 hours a week
So, in order to get total hour worked by him in one year, we need to multiply 52 * 40
i.e. 52 *40 = 2080

Step 3 - Now, we have total hours we can simply divide the total hour worked with how much he earned last year
i.e. 23,920 / 2080
= $11.5 per hour.

Hope this helped you.. :)

Answer:

11.50

Step-by-step explanation:

N E V E R M I N D...........

Answers

Answer:

Step-by-step explanation:

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain.

Answers

no, tony is not correct. solving the inequality tells us that x is greater than or equal to 37.5. since the class must wash a whole number of cars, they need to wash at least 38 cars.

Answer:

Sample Response: No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

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