Answer:
1. 21, 22
2.29,30
Step-by-step explanation:
1. m+4>24
subtract both sides by 4
m>20
Two values that are greater than 20 are 21 and 22.
2. 7<x/4
multiply both sides by 4
28<x
Two values that are greater than 28 are 29 and 30.
Graph the following function on the axes provided.
Answer:
this may help you.look it once
Step-by-step explanation:
.
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]
How do we decide if a situation requires us to measure in square units or cubic units?
Answer: see below...
Step-by-step explanation:
Square units are when we are finding the surface area.
Since it is side x side, so ^2.
Cubic units are when we are finding the volume.
Since it is side x side x side, so ^3.
The question is in le picture below U-U
Answer:
30%
Also I LOVE THE EMMA PIC!!!!!!!!
Which of the functions below could have created this graph?
In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?
Answer:
its A
Step-by-step explanation:
its A ️ ♀️ ️ ♂️ ️
Guys help me with this quick pls
Answer:
[tex]117 = 66 + \beta \\ \beta = 51[/tex]
Find the slope of the line parallel to the line graphed.
My Answer:
Pls help solve this...No hacker links
Answer:
x=13
Step-by-step explanation:
18-5=13. You have to subtract 5 from 5 itself and then 18.
What’s the answer (no link I give brainly)
Pls helppppp!! Brainlyest answerrrr
Discuss the political, economic and social organisation of buganda kingdom during the pre colonial period
Answer:
What type of line the picture represent
Pls help me no weird answers pls.
Answer choices are:
A.24
B. 80
C.90
D. 56
x > -3 For each statement list three numbers that would make a solution to the inequality true.
Answer:
x = -2
x = -1
x = 0
Step-by-step explanation:
Find three numbers to the left of -3 on the number line
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 68% of the population will have a height within which of the following ranges?
Answer:
68% of the population will have a height between 64 and 72 inches
Step-by-step explanation:
According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches
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?
Which value (s) of x are solution(s) of the equation below?
A. x = 2, 4
B. x = -1, 4
C. x = 2
D. x = -1
Answer:g
Step-by-step explanation:
9 mi
12 mi
What is the length of the hypotenuse?
miles
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
What is the total of 12 monthly payments of 100.00 including tax
Answer:
The monthly payments of said financing plan will be $8.33.
Step-by-step explanation:
To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:
100/12 = X
8.33 = X
Therefore, the monthly payments of said financing plan will be $8.33.
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.
14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.
Answer:
1+1 is cannot be
Step-by-step explanation:
jajauajhwhahwwhhahwhauwu
find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] about the... a) x-axis.
Answer:
[tex]v = \frac{32\pi}{3}[/tex]
or
[tex]v=33.52[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x - x^2[/tex]
[tex]g(x) = x^2[/tex]
[tex][a,b] = [0,2][/tex]
Required
The volume of the solid formed
Rotating about the x-axis.
Using the washer method to calculate the volume, we have:
[tex]\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx[/tex]
Integrate
[tex]v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx[/tex]
[tex]v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx[/tex]
Substitute values for a, b, f(x) and g(x)
[tex]v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx[/tex]
Evaluate the exponents
[tex]v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx[/tex]
Simplify like terms
[tex]v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx[/tex]
Factor out 8
[tex]v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx[/tex]
Integrate
[tex]v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0[/tex]
[tex]v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0[/tex]
Substitute 2 and 0 for x, respectively
[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])[/tex]
[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])[/tex]
[tex]v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ][/tex]
[tex]v = 8\pi [ \frac{16}{3} - \frac{16}{4} ][/tex]
Take LCM
[tex]v = 8\pi [ \frac{16*4- 16 * 3}{12}][/tex]
[tex]v = 8\pi [ \frac{64- 48}{12}][/tex]
[tex]v = 8\pi * \frac{16}{12}[/tex]
Simplify
[tex]v = 8\pi * \frac{4}{3}[/tex]
[tex]v = \frac{32\pi}{3}[/tex]
or
[tex]v=\frac{32}{3} * \frac{22}{7}[/tex]
[tex]v=\frac{32*22}{3*7}[/tex]
[tex]v=\frac{704}{21}[/tex]
[tex]v=33.52[/tex]
please help me!! asap!!
Answer:
answer: 85
Step-by-step explanation:
These add up to 360 and
85 + 85 + 95 + 95 = 360 so 85 is the answer.
Hope that helps!
Identify the distance between the points (9,7,3) and (5,3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
Using it's formula, it is found that the distance between the two points is of 5.7 units. Additionally, the midpoint is (7, 5, 2.5).
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are (9,7,3) and (5,3,2), hence:
[tex]D = \sqrt{(9 - 5)^2 + (7 - 3)^2 + (3 - 2)^2} = 5.7[/tex]
The distance between the two points is of 5.7 units.
What is the midpoint?The midpoint is the mean of the coordinates, hence:
xM = (9 + 5)/2 = 7.yM = (7 + 3)/2 = 5.zM = (3 + 2)/2 = 2.5.The midpoint is (7, 5, 2.5).
More can be learned about the distance between two points at https://brainly.com/question/18345417
a)Solve for x:
y = 130 − 4x
b) What is the value of x when y = 120
Answer:
[tex]x = \frac{5}{2}[/tex]
Step-by-step explanation:
y = 130 - 4x
======================
120 = 130 - 4x
-10 = -4x
x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]
find m
135°
125°
55°
100°
Answer:
answer: m = 125
Step-by-step explanation:
parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!
Step-by-step explanation:
here's your solution
==> sum of corresponding angles of parallelogram = 180°
==> angle J + angle k = 180°
==> 55° + k = 180°
==> k = 180° - 55°
==> k = 125°
[tex]hope \: it \: helps[/tex]
please help me with this equation
Find 59.2% of 250................................................
Answer:
148
Step-by-step explanation:
59.2/100x250
What is nine divided by two
Answer: 4.5
Step-by-step explanation:
9/2 = 4.5
have a good day. you have to use division, and plus, 4.5 + 4.5 = 9