Answer:
-25
Step-by-step explanation:
10^2 ÷ -2^2 = -25
That's why the answer is -25.
What is the sum of the measures of the interior angles of this polygon?
A 5-sided figure.
270 degrees
450 degrees
540 degrees
900 degrees
Answer:
360Θ
Step-by-step explanation:
A population has a standard deviation of 97. We take a random sample of size 26 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. a) What is the variance of this population
Answer:
Variance of this population = 9,409
Step-by-step explanation:
Given:
Standard deviation of population = 97
Random sample size = 26
Find:
Variance of this population
Computation:
Standard deviation (σ) = 97
Variance = Standard deviation²
Variance = (σ)²
Variance of this population = Standard deviation of population²
Variance of this population = 97²
Variance of this population = 9,409
Members of a bowling league play thousands of combined games over the course of a season. Suppose that the scores of individual games have a known standard deviation of σ=30 pins. Isla plans on taking a random sample of n games from this population to make a 95% confidence interval for the mean score. She wants the margin of error to be no more than 10 pins. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
9 games
30 games
35 games
43 games
55 games
Answer: 35
Step-by-step explanation:
Got it right on khan
A bus has 10 seats that can hold 2 passengers and another seat that can hold 3 passengers how many passengers can be seated on the bus
Answer:it can hold 23 passangers
Step-by-step explanation:
6. A stoplight at an intersection stays red for 60 second, changes to green for 45
seconds, and then turns yellow for 15 seconds. If Jamal arrives at the
intersection at a random time, what is the probability that he will have to wait at
a red light for more than 15 seconds?
Answer:
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Step-by-step explanation:
At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.
Uniform probability distribution:
Has two bounds, a and b. The probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Red for 60 seconds
So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, [tex]a = 0, b = 60[/tex]
Probability that he will have to wait at a red light for more than 15 seconds?
[tex]P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75[/tex]
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 16 of 40 at one school and 13 of 30 at the other had this infection. Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other. Find the test statistic. [Suggestion: try to use a TI 83 or a similar calculator.]
Answer:
The test statistic is [tex]z = -0.28[/tex]
Step-by-step explanation:
First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A random sample of children in two different schools found that 16 of 40 at one school
This means that:
[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]
13 of 30 at the other had this infection.
This means that:
[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]
Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.
At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
And at the alternate hypothesis, we test if there is difference, that is:
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]
[tex]z = -0.28[/tex]
The test statistic is [tex]z = -0.28[/tex]
Why should you write everything down instead of doing the math in your head?
Answer and Step-by-step explanation:
It ensures that you don't accidently skip a step or get confused by which numbers are being used. By writing it down, it allows you to look back and see if you answer was correct or incorrect.
For example:
On a test, you need to do a complicated math problem that you know you can do in your head. It would still be a good idea to write down the process, so that you can see in front of you the numbers you get and results. If it is incorrect when checking over you answers, then you can go through the steps you made to see where you made a mistake.
#teamtrees #PAW (Plant And Water)
Answer:
Because when you need to use this information in the future it will be in your notebook/binder. When you study each lesson you will have the answers in your notes for when you do a Test or quiz. When doing math in your head it is called mental math but it is only used when needed.
Step-by-step explanation:
- chicken box
Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years
Answer:
27 cents
Step-by-step explanation:
10% of 90= 9
9x3=27
Answer:
p x t x r / 100
90 x 10 x 3 / 100
=27
i need help i dont know how to do this yet
Answer:
A=wl=4·7=28 answer is 28
Step-by-step explanation:
Answer:
the answer is 28
Step-by-step explanation:
you do lengthh times width
the length is 7 the width is 4
so 7 times 4 is 28
please help me with this equation
PLEASE HELP ME. Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
What is the m∠ADC ?
Enter your answer in the box
º
Answer: 120
Step-by-step explanation: took the test and that’s the correct answer
The question is in le picture below U-U
Answer:
30%
Also I LOVE THE EMMA PIC!!!!!!!!
Which two words are the closest antonyms?
A.) admiring and devoted
B.) adopt and borrow
C.) twig and limb
D.) release and grasp
Answer:
D-Release and Grasp
Step-by-step explanation:
Antonyms are opposites, and the other answer choices are not antonyms.
Release-allow or enable to escape from confinement
Grasp-seize and hold firmly
Hope this helps :-)
In a children's story, a young girl finds that one bowl of soup is too hot, another is too cold, and a third bowl is just
right. Further study reveals that the temperature of the soup bowl that the young girl declared to be just right was
100°F. A researcher would like to test the hypotheses How=100 versus Hou* 100 where ji = the true mean
temperature of all bowls of soup. A 95% confidence interval based on a random sample of 30 bowls of soup is
(100.9, 102.3). Using this interval, can the researcher reject the null hypothesis?
Yes, the null hypothesis can be rejected at the significance level a = 0.05, because 100 is not contained in the and
95% confidence interval.
Yes, the null hypothesis can be rejected at the significance level a = 0.01, because 100 is not contained in the
95% confidence interval.
No, the null hypothesis cannot be rejected at the significance level a = 0.05, because 100 is not contained in the
95% confidence interval.
No, the null hypothesis cannot be rejected at the significance level a = 0.01, because 100 is not contained in the
95% confidence interval
Answer:
A, Yes, the null hypothesis can be rejected at the significance level α = 0.05, because 100 is not contained in the 95% confidence interval.
Step-by-step explanation:
Pls help me no weird answers pls.
Answer choices are:
A.24
B. 80
C.90
D. 56
Which statement describes the term economics?
Answer:
Economics: A social science that studies how people interact with value!
Hope this helps :D
PLEASEEEEEEE HELP!!!!!
Answer:
22.18
Step-by-step explanation:
c squared = a squared + b squared - 2ab cos c
or a instead of c in this case.
144+225-360(-0.342)
square root 492.12
what is E and F i really need help please no bots
Answer:
be happy
Step-by-step explanation:
Which inequality is equivalent to |x-4/<9?
- 9> X-4 < 9
0.9< X - 4 < 9
OX-4<-9 or X-4 < 9
X – 4 >-9 or x 4 < 9
Answer: x-4>-9 or x-4<9
Step-by-step explanation:
The correct option for the given inequality is x-4>-9 or x-4<9
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given an inequality, |x-4| < 9
Using the rule, if |x| < a then, -a < x < a.
Therefore,
|x-4| < 9
-9 < x-4 < 9
x-4 > -9 or x-4 < 9
Hence, The correct option for the given inequality is x-4>-9 or x-4<9
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
Connie mason has a coupon for 25 percent off the purchase of a necklace that has a regular price of 100 what is the price after the coupon is used
how do you divide a square in half by connecting two vertices?
Answer:
diagonally.
Step-by-step explanation:
the vertices are the corners or angles. square has four angles. if you have to divide it in half by connecting 2 vertices, then you would just need to draw a line from one corner, diagonally to another corner. you have 2 halves that are equilateral triangles. think about a grilled cheese sandwich cut in half. make sense?
Can someone help me with this equation
Answer: 9.45•10^7
Step-by-step explanation:
Find 59.2% of 250................................................
Answer:
148
Step-by-step explanation:
59.2/100x250
Eighteen students decide they don't want to be
rescued and want to continue to live in the
jungle. If this represents 40% of the students,
how many students want to be rescued?
Answer:
27
Step-by-step explanation:
There are 45 students in total and 18 want to continue living in the jungle
45-18=27
What is the slope of the line that passes through the
points (2, 6) and (2, 9)?
0
3
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Graph the following function on the axes provided.
Answer:
this may help you.look it once
Step-by-step explanation:
.
how many hundreds are in 200 + 10 + 6
Answer:
1
Step-by-step explanation:
Answer:
2?
Step-by-step explanation:
Can someone answer me I don’t get it
Answer:
B, C and F
Step-by-step explanation:
Negative numbers go farther and father to the left on a number line the higher in value they get.
what is the area of the triangle 13,12,5
Answer:
area = 5
Step-by-step explanation:
1) WILL MAKE BRAINLIEST
write the slope-intercept form of the equation of each line.
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
1. Approach
Slope intercept form is a way of expressing an equation of a line using the slope of a line, and its y-intercept. The general format for the equation of a line in slope-intercept form is the following,
[tex]y=mx+b[/tex]
Find each of the missing pieces of information and substitute it into the equation to find the equation of the line.
2. Find the slope
The slope of a line is the change in the line is can be found using the following formula,
[tex]\frac{y_2-y_2}{x_2-x_1}[/tex]
As one can see on the given graph, two points on the line are the following,
[tex](-2, -1), (-1, 1)[/tex]
Substitute the points into the formula and solve for the slope,
[tex]\frac{(1)-(-1)}{(-1)-(-2)}[/tex]
[tex]=\frac{2}{1}\\\\=2[/tex]
3. Find the y-intercept
The y-intercept of a line is where the line intersects the y-axis. As one can see this point is the following,
[tex](0,3)[/tex]
Thus the y-intercept is (3).
4. Put the information together
Putting all of this information together, substitute the found information into the general equation for slope-intercept form. One can see that the equation of a line is the following,
[tex]y=2x+3[/tex]