Answer:
The test statistic for the hypothesis test is -1.202.
Step-by-step explanation:
We are given that a report on the nightly news broadcast stated that 10 out of 129 households with pet dogs were burglarized and 23 out of 197 without pet dogs were burglarized.
Let \(p_1\) = population proportion of households with pet dogs who were burglarized.
\(p_2\) = population proportion of households without pet dogs who were burglarized.
SO, Null Hypothesis, \(H_0\) : \(p_1=p_2\) {means that both population proportions are equal}
Alternate Hypothesis, \(H_A\) : \(p_1\neq p_2\) {means that both population proportions are not equal}
The test statistics that would be used here Two-sample z-test for proportions;
T.S. = \(\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }\) ~ N(0,1)
where, \(\hat p_1\) = sample proportion of households with pet dogs who were burglarized = \(\frac{10}{129}\) = 0.08
\(\hat p_2\) = sample proportion of households without pet dogs who were burglarized = \(\frac{23}{197}\) = 0.12
\(n_1\) = sample of households with pet dogs = 129
\(n_2\) = sample of households without pet dogs = 197
So, the test statistics = \(\frac{(0.08-0.12)-(0)}{\sqrt{\frac{0.08(1-0.08)}{129}+\frac{0.12(1-0.12)}{197} } }\)
= -1.202
The value of z test statistics is -1.202.
HELP I WILL GIVE BRAINLIEST IF RIGHT
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I might be wrong but i'm pretty sure it's right
Franklin treated his sister to lunch while visiting her in Ashland. Their lunch cost $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$ how much in total did he pay
Answer: $97.2
Step-by-step explanation: 75+8%/100=81+20%/100=97.2
If their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, Franklin treated his sister to lunch while visiting her in Ashland. Their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$.
We have to apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
If their lunch costs $75 and the sales tax in Ashland is 8%.
= 75+8% of 75
=75+(8/100)×75
=81
If Franklin left a 20% tip on the 75$
=81+20% of 81
=$ 97.2
Thus, if their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.
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Classify the real numbers as rational or irritational numbers
Answer:
god loves you <3 .
Step-by-step explanation:
Find the area of a square whose diagonal measure 40 m.
Answer:
800 m²
Step-by-step explanation:
Find the area of a square whose diagonal measure 40 m.
Area of a square using diagonals = Diagonal²:2
40² : 2 =
1600 : 2 =
800 m²
Which of the binomials below is a factor of this trinomial? x^2 + 12x + 36A. x+6B. x-4C. x+4D. x-6
The trinomial is given to be:
\(x^2+12x+36\)Rewrite the expression in the form:
\(\begin{gathered} a^2+2ab+b^2 \\ 36=6^2 \\ 12x=2x\cdot6 \end{gathered}\)Therefore, the expression becomes:
\(x^2+2x\cdot \:6+6^2\)Apply the perfect square formula:
\(a^2+2ab+b^2=\left(a+b\right)^2\)Therefore, the expression becomes:
\(\begin{gathered} a=x \\ b=6 \\ \therefore \\ x^2+2x\cdot6+6^2=(x+6)^2 \end{gathered}\)The correct option is OPTION A.
Solve for f.
f + 15 < 6 or f + 12 > 16
_
Step-by-step explanation:
1. f+15<6
= f<6-15
f < -9
2. f+12 >16
f >16-12
f > 4
Is -15.8 a rational number
Answer:
Yes because it can be turned into -15 4/5
(sorry if it's incorrect I just started learning this (っ °Д °;)っ)
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.
Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).
The sum of the scores on the first three, hundred point tests
= 82 + 88 + 87 = 257.
The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.
The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.
Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.
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Find the area of the rhombus below.
5 ft
-H-
------
8 ft
---
A =
feet squared
I’ll give you brainlest
Step-by-step explanation:
diagonal 1 (d1) = 5 + 5
= 10 ft
diagonal 2 (d2) = 8 + 8
= 16 ft
area of rhombus = 1/2 × d1 × d2
= 1/2 × 10 × 16
= 80 ft²
--------------------------------Follow mewhats 3/16 divided by 12
Answer:
0.015625
Step-by-step explana
I need a lil help, I am some how stuck here in math.
a. The value of c in the probability mass function when x is a discrete random variable is 0.15
b. The value of P(x > 3) is 0.25
c. The value of P(3 ≤ x ≤ 5) is 0.15
d. the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
What is probability mass function?In probability mass function, sum of the probabilities for all possible values of x must be equal to 1
Thus,
0.2 + 2c + 0.2 + c + 0.1 = 1
Solve for c
c = 0.15
Hence, the probability mass function for x can be rewritten as;
x: 0 1 2 4 10
p(x): 0.2 0.3 0.2 0.15 0.1
To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10
sum of their probabilities
P(x > 3) = P(x = 4) + P(x = 10)
= 0.15 + 0.1
= 0.25
To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:
P(3 ≤ x ≤ 5) = P(x = 4)
= 0.15
To find P(x < 6 | x ≥ 1), use the formula for conditional probability:
P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)
To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive
P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)
= 0.3
To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:
P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)
= 0.85
Therefore, we have
P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353
Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
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What is the discrimination of this function !! Please help
Answer:
Option C is correct.
The discriminant of the function is negative since the function doesn't have real roots as evident from the graph.
Step-by-step explanation:
The discriminant of a quadratic equation is the part of the quadratic formula underneath the square root symbol, that is, (b² - 4ac).
The discriminant tells us whether there are two solutions, one solution, or no solutions.
- When the discriminant is positive or greater than zero, that is, (b² - 4ac) > 0, the quadratic function has 2 real distinct roots.
- When the discriminant is equal to zero, that is, (b² - 4ac) = 0, the quadratic function has 1 repeated root.
- When the discriminant is negative or lesser than zero, that is, (b² - 4ac) < 0, the quadratic function has no real roots.
For this question, the graph of the quadratic function shows that it doesn't have real roots (this is evident because the graph doesn't cross the x-axis), hence, the duscriminant of this quadratic function has to bee negative.
Hope this Helps!!!
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Is y=3/4x proportional?
Answer:
My answer is Yes
Step-by-step explanation:
In the diagram below,DE and EF are tangent to 0.What is the measure of DGF?
Answer: 245
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
Please help me out. I will mark brainlist. How do I solve this?
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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Select expression that is mathematically equivalent to xy−z+ (a - b) X c. y - 2 O
a) x/y – z + (a - b)
b) Xc O x/(y – z) + (a - b)
c) Xc O x/y - 2 + a - b c O
d) x/(y – z) + a – b xc
Question:
Select expression that is mathematically equivalent to
\(\frac{x}{y-z} + (a-b)*c\)
a) \(x/y - z + (a - b) * c\)
b) \(x/(y - z) + (a - b) * c\)
c) \(x/y - z + a - b * c\)
d) \(x/(y - z) + a - b * c\)
Answer:
\(x/(y - z) + (a - b) * c\)
Step-by-step explanation:
Given
\(\frac{x}{y-z} + (a-b)*c\)
Required
Determine its equivalent
Start by writing y - z in bracket;
\(\frac{x}{y-z} + (a-b)*c\)
becomes
\(\frac{x}{(y-z)} + (a-b)*c\)
When - is used as divide, it is equivalent to /
The given expression can then be rewritten as
\(x/(y - z) + (a - b) * c\)
Hence;
\(\frac{x}{y-z} + (a-b)*c\) is equivalent to \(x/(y - z) + (a - b) * c\)
Find the probability that when a couple has twotwo children, at least one of them is a boyboy. (Assume that boys and girls are equally likely.) The probability is . 5.5 that at least one of the twotwo children is a boyboy.
Answer:
0.75
Step-by-step explanation:
It is given that having a boy or girl as children are the two events which are equally likely.
i.e. Probability of having a boy or a girl is equal to \(\frac{1}{2}\) or 0.5.
Let P(B) be the probability of having a boy and P(G) be the probability of having a girl child.
So, P(B) = P(G) = 0.5
To find: Probability that out of two children, atleast one boy is born.
Required probability = 1 - Probability that both the children are girls
Required probability :
\(\Rightarrow 1-(0.5 \times 0.5)\\\Rightarrow 1 - 0.25\\\Rightarrow 0.75\)
So, the probabilty that atleast one boy is born out of two children is 0.75.
An education researcher recorded the number of students at each of the schools in her county. Number of students Number of schools 594 2 851 2 904 4 928 2 X is the number of students that a randomly chosen school has. What is the expected value of X? Write your answer as a decimal.
The Basic expected value formula is the probability of an event multiplied by the number of times the event happens: (P(x) * n).
P(A) is the probability of an event “A” n(A) is the number of favorable outcomes. n(S) is the total number of events in the sample space.
Probability is given by
\(Pr\text{ =}\frac{n(A)}{n(S)}\)o
6TH GRADE MATH, SOMEONE PLS FIND THE SLOPE IN THIS EQUATION TY
Answer:
slope is -2
Step-by-step explanation:
100% correct :)
The slope is what is next to the x in y=mx+b
so if it was like this y=3x + 2
3 is the slope
hope that makes sense
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Remmy bought 4.8 pounds of potatoes. He paid $1.05 per pound. How much did Remmy pay for the
potatoes?
Show Your Work
Remmy bought 4.8 pounds of potatoes. He paid $1.05 per pound. Remmy pay for the potatoes is $ 5.04.
Total pound of potatoes bought by Remmy = 4.8 pounds
Amount paid per pound = $ 1.05
Amount paid for total potatoes = (4.8) × $ 1.05
= $ 5.04
A word problem is made up of several simple sentences that describe situations in real life where a particular issue needs to be solved using a stepwise mathematical calculation.
Word problems are a vital component of learning in the primary school curriculum because they require pupils to apply their understanding of a number of different concepts to solve an issue from the real world.
The third operation on the list of Word Problems is multiplication. It assists us in calculating the product of two given numbers, as suggested by its name. In other terms, multiplication is multiplying the amounts that are given to produce a result.
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Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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7u<42
solve the inequality for U
Answer: u<6
Step-by-step explanation:
Isolate u by dividing both sides of the inequality by 7
\(\frac{7u}{7} < \frac{42}{7} \\u < 6\)
u<6
Solution:In order to solve this inequality, we need to divide both sides by 7.Remember, our goal is to find the value of u.We know that 7u is less than 42.So, divide both sides by 7:u<6So u is less than 6.This also means that the numbers less than 6 will satisfy the inequality (make it true).Hope it helps.
Do comment if you have any query.
What is the smallest number greater than zero you can make using four fours?
Answer:
16?
Step-by-step explanation:
4 + 4 + 4 + 4 equals
4 x 4 equals
16
In a survey of 3417 adults aged 57 through 85 years, it was found that 80.3% of them used at least one prescription medication. C
a. How many of the 3417 subjects used at least one prescription medication?
Answer:
2743.851 adults aged 57 through 85 years used at least one prescription medication.
Step-by-step explanation:
I did this on a calculator so yeah...