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KengaRu [80]
4 years ago
8

Given a mean of 43.8 and a standard deviation of 8.7 what is the z score of the value 40

Mathematics
2 answers:
DanielleElmas [232]4 years ago
8 0
z=\dfrac{40-43.8}{8.7}\approx-0.4368
lana [24]4 years ago
4 0

Answer:

-0.44

Step-by-step explanation:

Given a mean of 43.8 and a standard deviation of 8.7

z-score =\frac{x-mean}{standard deviation}

mean = 43.8

standard deviation = 8.7

now plug in the values of mean and standard deviation

x= 40

z-score =\frac{40-43.8}{8.7}

z-score =\frac{-3.8}{8.7}

z-score = -0.44

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Dovator [93]

12^2=144

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if b=3, a^2=48, then there will be no a available

if b=1 , a^2=144, then a is 12 and 12 can not be divided by 9

The answer is D

3 0
4 years ago
Someone please help me in this question it is kind of confusing it is a question under pre calculus in first year calculus i wil
masya89 [10]
Neither P, nor A are on the sketch 
I guess P is the upper right corner of the rectangle 
and A=(0,1) 

P belongs to the line going through (1,0) and B(0,y) 
<span>but we don't know the y-coordinate of B </span>

<span>the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 </span>
now look at the right triangle BOA 
<span>his hypotenuse is AB=sqrt2 and the <span>the kathete</span> OA is 1 </span>
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1 
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the line going through (1,0) and (0,1) is L(x)=-x+1 

P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1) 

b) so if that's P, the height of the rectangle is -x+1 and the width=2x 
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I hope my answer has come to your help. Thank you for posting your question here in Brainly.

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5 0
3 years ago
Justify whether the solution makes sense.
Zigmanuir [339]

Answer:

They are identical triangles.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

The triangle with 39 and 90 has a missing angle of 51 degrees, and the triangle with 51 and 90 vice versa.

5 0
3 years ago
Read 2 more answers
Jenny drives from Paris to Rochefort, a distance of 483 km. her average speed on the journey is 84 km/h, she leaves at 9:50. Wha
Mrrafil [7]

The correct answer is 3: 35

Explanation:

To calculate at what time Jenny will arrive in Rochefort, the first step is to calculate the approximate time of the trip. Now, to calculate this consider the time of a movement (t) equals to the distance (d) divided by the speed (s), the process is shown below:

t = 483 km / 84 km/h

t = 5.75 hours

In this number 5 refers to the hours and 0.75 represents 45 minutes considering 0.75 x 60 minutes in one hour = 45 minutes. Therefore, the total time from Paris to Rochefort is 5 hours and 45 minutes. Now, to calculate the time of arrival add this result to the time of departure.

Add the hours: 5 hours + 9 hours: 14 hours

Add the minutes: 50 minutes + 45 minutes =95 minutes

95 minutes are equivalent to 1 hour (60) minutes and 35 minutes

Calculate the total

Hours: 14 hours + 1 hour = 15 hours or 3  in the 12 hour system (15 hours - 12 hours = 3 p.m.)

Minutes: 35 minutes

4 0
3 years ago
jamal is going to borrow 14000 from his credit union to buy a used car. the APR is 7.0% and the length of the loan is 4 years. h
ELEN [110]
The formula to use here would be:

A = P(1+r)^t  where P is the principal (starting) amount, r is the rate of interest, and t is time. Knowing this, plug in your values:

A = 14,000(1+0.07)^4 once worked out, you should get $18,351.14414 < this is the total amount he would be paying at the end of 4 years. to find the interest, subtract this amount from the principal amount (14,000):

$18,5351.14414 - 14,000 = 4,351.14414 < this is the amount of interest. Round your answer. 

Answer: Jamal will pain $4,351.14 interest. 
8 0
3 years ago
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