Answer: approximately normal
Step-by-step explanation:
In the 1990s, it was generally believed that genetic abnormalities affected about 5% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities, which could have important implications for health insurance companies. A recent study examined 384 randomly selected children and found that 25 of them showed signs of a genetic abnormality.
Required:
What is the p value?
Answer:
The p-value of the test is 0.0869.
Step-by-step explanation:
In the 1990s, it was generally believed that genetic abnormalities affected about 5% of a large nation's children.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.05[/tex]
Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities.
This means that the alternate hypothesis is:
[tex]H_{a}: p > 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
5% tested at the null hypothesis:
This means that:
[tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]
A recent study examined 384 randomly selected children and found that 25 of them showed signs of a genetic abnormality.
This means that [tex]n = 384, X = \frac{25}{384} = 0.0651[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.0651 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{384}}}[/tex]
[tex]z = 1.36[/tex]
p-value:
Testing if the mean is bigger than a value, so the pvalue is the probability of finding a value in the z table higher than 1.36, which is 1 subtracted by the pvalue of z = 1.36.
z = 1.36 has a pvalue of 0.9131
1 - 0.9131 = 0.0869
The p-value of the test is 0.0869.
2. You have 15 nickels and dimes. The coins are worth $1.20. How many of each coin do you have?
Answer:
9 dimes and 6 nickles
Step-by-step explanation:
answer the question!!!!!!!!!!!!!!
Answer:
Im not sure im sorry if i got it wrong but my guess is 1234 :/
Step-by-step explanation:
Answer:
4132
Step-by-step explanation:
1).4,132 (four thousand one hundred thirty-two) is an even four-digits composite number
2). 4 + 1 + 3 + 2 = 10
3). each number is greater than 0
4). 4+1= 5 3+2= 5
5). 4 is the gretes number in 4132
What is the area of the following circle?
Correct answers only
Will mark brainlist
If a varies directly as b and a=6, when b=1/3, find the equation that relates a and b
Answer:
A=18b
Step-by-step explanation:
A = kb
6 = k(⅓)
k = 6×3
k = 18
Answer:
a=18b
Step-by-step explanation:
use the equation of a=kb
so find k first 6=k1/3
k=18 then substitute it in the eqn
Two cars, each with a different volume of gas in their tanks, start moving at the same time. However, the volume of gas in their tanks is used up at different rates. Assume the volumes are changing linearly. Volume in Tank (gal) Time (hr)15Car A17.2514.25Car B1915 How many hours will it take before both tanks have the same volume of gas in it?
Answer:
8 hours
Step-by-step explanation:
−0.75x + 18 = -x+20
0.25x = 2
x = 8
An educator believes that new reading activities for elementary school children will improve reading
comprehension scores. She randomly assigns third graders to an eight-week program in which some will use these activities and others will experience traditional teaching methods. At the end of the experiment, both groups take a reading comprehension exam. Their scores are shown in the back-to-back stem-and-leaf display. Do these results suggest that the new activities are better? Test an appropriate hypothesis and state your conclusion.
The correct answer to this open question is the following.
Unfortunately, you forgot to attach the scores shown in the back-to-back stem-and-leaf display. So we do not know what the numbers are and we do not have any reference at all
What we can do to help you is to comment on the following general terms.
There have been previous and similar experiments or projects like this in other schools in America. These results suggest that the new activities are better because extra or special reading comprehension programs better prepare students to understand what they are reading and comprehend more than basic ideas of the text.
Students that participate in these programs develop a better sense to understand and like what they are reading, considerably increasing their focus and attention.
These programs have resulted positively when trying to improve the marks of the students, compared to other traditional approaches.
I GIVE BRAINLIEST! LOOK AT THE IMAGE BELOW.
Which graph represents y as a function of x?
Answer:
D
Step-by-step explanation:
Has only one point on the x- axis.
Divide. (3x⁴ - 3x³ - 6x -10) ÷ (x - 2)
Please help I can't find a proper answer
pasagot po please........
Step-by-step explanation:
Angles:
1. <SLT and <AKM
2.<KMA and <LST
3.<MAK and <STL
Sides:
1. SL and KM
2.ST and AM
3.TL and AK
Answer:
3
Step-by-step explanation:
hgffggffggfrrtggfrrg
vertex of y = x³ + x² - 4x - 4
Answer:
(-2,0)
Step-by-step explanation:
A drama class has a total of 40 students. The number of males is 6 more than the number of females. How many males and how many females are in the class?
Answer:
Females = 17 and males = 23
Step-by-step explanation:
Given that,
Total no of students in the class = 40
Let no. of females = x
No. of males = 6+x
ATQ,
Total students = males + females
40 = x+6+x
40-6 = 2x
34 = 2x
x = 17
Hence, there are 17 females and (6+17= 23) males.
What is the domain of the function graphed above?
A.
{7/2}
B. -♾
O C. -2 _< x <♾
OD. -10 _< x _< 10
Answer:
D
Step-by-step explanation:
Dwayne plays five games of rock-paper-scissors. In order to seem unpredictable, he never chooses the same move (rock, paper, or scissors) twice in a row. How many different sequences of moves can Dwayne go through?
Answer:
48
Step-by-step explanation:
First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.
In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:
3 2 2 2 2
And you would multiply all the numbers.
3 x 2 x 2 x 2 x 2
= 6 x 8
= 48
Please help this is important
Answer:
x = 18.8
Step-by-step explanation:
(6x + 19) is in linear pair vertically so,
it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)
now, 180 - 6x + 19 is corresponding with (4x + 11)
therefore, 4x + 11 = 180 - 6x + 19
4x + 6x = 180 + 19 - 11
10 x. = 180 + 8
10 x. = 188
x = 188/10
x. = 18.8
Cross - check:-
4x + 11 = 180 - 6x + 19
4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)
86.2. = 86.2
therefore, x = 18.8 is the correct answer
A stream is flowing down a slope into a larger river. The elevation of the head of the stream is 2,200 feet above sea level. The elevation of the mouth of the stream is 1,000 feet. The horizontal distance along the stream between those two points is 63,360 feet. What is the gradient of the slope the stream is flowing over in ft/mi
Answer:
[tex]100\ \text{ft/mi}[/tex]
Step-by-step explanation:
Elevation of the head of the stream is 2,200 feet above sea level
Elevation of the mouth of the stream is 1,000 feet
Rise = [tex]2200-1000=1200\ \text{ft}[/tex]
Distance between the two points = [tex]63360\ \text{ft}=\dfrac{63360}{5280}=12\ \text{mi}[/tex] = Run
Gradient is given by
[tex]\dfrac{\text{Rise}}{\text{Run}}=\dfrac{1200}{12}\\ =100\ \text{ft/mi}[/tex]
The gradient of the slope the stream is flowing over is [tex]100\ \text{ft/mi}[/tex].
angle measure of 36 and 57?
Answer: 7767788877787887+-77-7
If f varies inversely as g, find f when g= -6.
F= 4 when g= -6
F=
Step-by-step explanation:
f=gf=1/g
4=1/-6
=-24
find f
f=1/-6
which one is a polynomial ? it’s not B!!
Please please help me please please help please
In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.
For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).
Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.
Answer:
Part A: 4x = -5(x-18)
Part B: A and B both = 40 degrees
Step-by-step explanation:
Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.
So A = B
4x = -5(x -18)
4x = -5x + 90
9x = 90
x = 10
Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:
Angle B = -5(x - 18) = -50 + 90 = 40
PLS HELP FAST NO LINKS
Use the trapezoid to answer the question.
Choose all the attributes that describe the trapezoid.
A. It has four acute angles,
B. It has two obtuse angles.
C. It has no perpendicular sides.
D. It has one pair of parallel sides.
E. It has two pairs of parallel sides.
Answer:
D and B would be your answer
Answer ASAP for BRAINLIEST (NO LINKS OR I REPORT)
Answer:
radius = 3 feet
Step-by-step explanation:
V = 1/3πr²h
15π = 1/3πr²·5
you can divide each side by 5π to get:
3 = r²/3
r² = 9
r = [tex]\sqrt{9}[/tex] which is 3
Answer:
3
Step-by-step explanation:
((r^2)h[tex]\pi[/tex] )/3=volume of a cone
[tex]15\pi =((r^2)h\pi )/3[/tex]
they say that the height is 5 so insert 5 for h
[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]
solve for r
multiply both sides by 3
[tex]45\pi =r^25\pi[/tex]
divide both sides by 5
[tex]9\pi =r^2\pi[/tex]
[tex]r=3[/tex]
Hope that helps :)
Can you help me please
Answer:
this is the ans
Step-by-step explanation:
hope it helps!!!
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81
Answer:
-243, 729
Step-by-step explanation:
pattern is to multiply by -3 to get next number
jannie recieves 150 pocket money per month in the new year his mother decided to increase his pocket money in the ratio 6 is to 5 calculate jannies adjusted monthly pocket money
Answer:
Answer and steps are in picture.
please explain why. In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition, and 6 compete in both the fox-trot and tango competitions. How many dancers compete in the fox-trot or tango competitions?
Answer: 34 of them do
Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because the question they want us to answer is only the ones who do fox-trot or tango not both
Hope this helps :)
Answer:
22+18-6=34
Step-by-step explanation:
Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.
We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.
Now, let's take a further look at how those sets are made up.
Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.
Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.
Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.
We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.
Hope this was a clear explanation :)
WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.
Answer:
thrid one looks right
Step-by-step explanation:
Answer:
The 4th cone
Step-by-step explanation:
Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward. If you are familiar with plane symmetry, this question is fairly simple. Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.
Hope this helps.
Just in case my explanation was too confusing, I'll attach the image of the answer here.
Feel free to give me brainliest.
.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.
Answer:
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]
Sample standard deviation:
Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So
[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93
The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.