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Marat540 [252]
4 years ago
6

The expression P(z > –1.53) represents the area under the standard normal curve above a given value of z. Find P(z > –1.53

).
Mathematics
1 answer:
Damm [24]4 years ago
6 0
We can only look up the value in the normal distribution table if the probability of z is LESS than a certain value AND the value is positive.
If the probability of z is MORE than the value, then you need to do 1 minus the probability.
I.e. 1 - 0.93699
[0.93699 is found in the normal distribution table, searching for 1.53]
However, since the value (-1.53) is also negative, you need to do 1 minus AGAIN. 
I.e. 1 - 0.93699

Since you have to do both, the answer should be obtained as follows:
1 - (1 - 0.93699) = 0.93699

Sorry for the terrible explanation :/ 
And apologies if anything is incorrect. Hope this helped though!
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how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%
mojhsa [17]

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16%  glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14

We need to add around 1.14 liters

4 0
3 years ago
Read 2 more answers
Complete the equation of the graphed linear function in point-slope form. y – (–2) = (x – ) The graph of the function goes throu
sammy [17]

Answer:

y-(-2) = 4(x-1)

Step-by-step explanation:

Point-slope form of the equation of a straight line is:

y-y_0 = m(x-x_0) (1)

The two points given in the problem are:

(x_0,y_0)=(1,-2)\\(x_1,y_1)=(2,2)

So, the slope of the line is given by:

m=\frac{y_1 -y_0}{x_1 -x_0}=\frac{2-(-2)}{2-1}=\frac{4}{1}=4

And substituting into eq.(1), we find:

y-(-2) = 4(x-1)


4 0
4 years ago
How do you describe the sum of two rays for geometry?
Ray Of Light [21]
To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
3 0
3 years ago
The measures of the angles of a triangle are in the ratio of 2 : 5 : 8
andrezito [222]

Answer: The measures of all the three angles are 24 , 60 and 96

Step-by-step explanation:

\\Since the measures are given in ratio form, the first thing is to find the total ratio, which is

\\2 + 5+ 8 = 15

\\Recall that the sum of angles in a triangle is 180 ,so to calculate each angle , we have

\\2/15 x 180 = 24

\\also , 5/ 15 x 180 = 60

\\Finally, 8/15 x 180 = 96

\\The triangle is obtuse , since it is having one angle greater than 90.

\\It can not be acute because of the existence of 96 , for a triangle to be acute , all the angles must be less than 90 , and it can not be right triangle because there is no existence of 90

7 0
3 years ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
Thepotemich [5.8K]

Answer:

The probability that exactly 12 buyers would prefer green

=0.00555

Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

P(X=x)=nC_r p^r q^{n-r}

P(x=12)=14C_{12}(0.50)^{12}(0.50)^{14-12}

P(x=12)=14C_{12}(0.50)^{12}(0.50)^2

P(x=12)=14C_{12}(0.50)^{14}

P(x=12)=\frac{14!}{12!2!}(0.50)^{14}

P(x=12)=\frac{14\times 13\times 12!}{12!2\times 1}(0.50)^{14}

P(x=12)=91\cdot (0.50)^{14}

P(x=12)=0.00555

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

3 0
3 years ago
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