9514 1404 393
Answer:
positive
Step-by-step explanation:
The exponent 12 tells you how many times (-1 3/4) is a factor in the product. The number 12 is even, so there will be an even number of minus signs in the product. That results in a positive product.
__
The value is ...
825.005006849765777587809625
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
The value of the test statistic is t = 2.19.
Step-by-step explanation:
Central Limit Theorem
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]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Sample of 1300 voters:
This means that [tex]n = 1300[/tex]
Found that 45% of the residents favored construction.
This means that [tex]X = 0.45[/tex]
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%.
This means that [tex]\mu = 0.42[/tex], and by the Central Limit Theorem:
[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.42*0.58}{1300}} = 0.0137[/tex]
So, the test statistic is:
[tex]t = \frac{X - \mu}{s}[/tex]
[tex]t = \frac{0.45 - 0.42}{0.0137}[/tex]
[tex]t = 2.19[/tex]
The value of the test statistic is t = 2.19.
a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.
Answer:
so what is the question?
What is the area of a triangle with a
base of 6m and a height of 7m
Answer:
It is 21
Step-by-step explanation:
Find two consecutive whole numbers that 83 lies between.
Answer:
82, 84
Step-by-step explanation:
If ∆HBN~∆LYR, find the value of x.
Answer:
x=6
Step-by-step explanation:
32-21 = 11
28-11 = 17
17-11 = 6
x=6
Write an integer to express: What is the temperature if it
is 50 degrees above zero?
Answer:
49 degrees
Step-by-step explanation: You are basically counting from 0 to 49
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?
Combine like terms.
Please help me.
Answer:
15y^2-45
Step-by-step explanation:
5y^2+10y^2-45 = 15y^2-45
Paul will select a random sample of students to create a 95 percent confidence interval to estimate the proportion of students at his college who have a tattoo. Of the following, which is the smallest sample size that will result in a margin of error of no more than 5 percentage points?
Answer:
385
Step-by-step explanation:
Given that:
Margin of Error (MOE) = 5% = 0.05
Zcritical, 95% = Z(1-α/2) = Z0.025 = 1.96
MOE = Zcritical * (√p(1-p))/n)
p is taken as 0.5 when not stated ;
5 = 1.96 * sqrt[(0.5 * 0.5) / n]
5 = 1.96 * sqrt(0.25/n)
Square both sides
(0.05/ 1.96)² = 0.25/n
0.0006507 = 0.25/n
0.0006507 * n = 0.25
n = 0.25 / 0.0006507
n = 384.20162
Sample size = 385
Limit as x approaches 0 of (sin^2x)/x
Answer:
0Step-by-step explanation:
Given the expression
[tex]\lim_{x \to \ 0} \frac{sin^2x}{x}[/tex]
Substitute the value of x in the function
[tex]= \frac{sin ^2(0)}{0}\\= 0/0 (indeterminate) \\[/tex]
Apply l'hospital rule
[tex]\lim_{x \to \ 0} \frac{d/dx(sin^2x)}{d/dx(x)} \\= \lim_{x \to \ 0} \frac{(2sinxcosx)}{1} \\[/tex]
Substitute the value of x
= 2 sin(0)cos(0)
= 2 * 0 * 1
= 0
Hence the limit of the function is 0
The following data give the estimated prices of a 6-ounce can or a 7.06-ounce pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets are reproduced here.
0.99 1.92 1.23 0.85 0.65 0.53 1.41
1.12 0.63 0.67 0.69 0.60 0.60 0.66
a. Find the range.
b. Find the sample variance.
c. Find the sample standard deviation.
Answer:
a) Range = 1.39
b) the sample variance is 0.1597
c) the sample standard deviation is 0.3996
Step-by-step explanation:
Given the data in the question;
a) Find the range.
To determine the range, we simple subtract the smallest value from the largest value. i.e
Range = largest value - smallest value
from data set; our smallest is 0.53 while our largest value is 1.92
so
Range = 1.92 - 0.53 = 1.39
b) Find the sample variance.
To determine our variance, we use the following formula;
∑([tex]X_{i}[/tex] - [tex]x_{bar}[/tex])² / n - 1 = [ ∑[tex]X_{i}[/tex]²/n-1 ] - [ [tex]\frac{n}{n-1}[/tex]([tex]x_{bar}[/tex])²]
where [tex]x_{bar}[/tex] = ∑[tex]X_{i}[/tex]/n
n is sample size = 14 so lets calculate ∑[tex]X_{i}[/tex]
∑[tex]X_{i}[/tex] = 0.99 + 1.92 + 1.23 + 0.85 + 0.65 + 0.53 + 1.41 + 1.12 + 0.63 + 0.67 + 0.69 + 0.60 + 0.60 + 0.66
∑[tex]X_{i}[/tex] = 12.55
∑[tex]X_{i}[/tex]² = 0.99² + 1.92² + 1.23² + 0.85² + 0.65² + 0.53² + 1.41² + 1.12² + 0.63² + 0.67² + 0.69² + 0.60² + 0.60² + 0.66²
∑[tex]X_{i}[/tex]² = 13.3253
so
our [tex]x_{bar}[/tex] = ∑[tex]X_{i}[/tex]/n = 12.55 / 14 = 0.8964
so our Variance will be;
= [ ∑[tex]X_{i}[/tex]²/n-1 ] - [ [tex]\frac{n}{n-1}[/tex]([tex]x_{bar}[/tex])²]
= [ 13.3253 / 14-1 ] - [ [tex]\frac{14}{14-1}[/tex] (0.8964)²]
= 1.025 - 0.8653
= 0.1597
Therefore, the sample variance is 0.1597
c) Find the sample standard deviation.
we know that standard deviation is the square root of variance;
standard deviation = √Variance
standard deviation = √0.1597
standard deviation = 0.3996
Therefore, the sample standard deviation is 0.3996
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answer:
Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below
answer :
y-intercept = 25.9047
slope = 2.8420
Step-by-step explanation:
Determine the slope for the regression equation and y intercept
The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )
y = 25.9047 + 2.8420x
from the equation gotten above
y-intercept = 25.9047
slope = 2.8420
If f(x) = 3x – 1 and g(x) = x², then what is (fºg)(x)?
Answer:
3x^2-1
Step-by-step explanation:
Answer:
f(x) = 3x – 1 and g(x) = x²
Putting the value of g(x) in f(x), we get
(fog)(x)= f{g(x)}= f(x²) = (3x²-1)
(3x²-1) is the right answer.Find the surface area of the rectangular prism.
4 mi
5 mi
4 mi
Answer:
112
Step-by-step explanation:
A = 2 (wl+hl+hw)
A = 2 (4 x 5 + 4 x 5 + 4 x 4)
A = 2 (20 + 20 + 16)
A = 2 x 56
A = 112
Which line , or solid , is the best line of best fit ? What evidence can you provide to prove this is the best line of best fit ?
I need help with this.
Answer:
D=4
C=12.56
Step-by-step explanation:
D=2r
d=2×2
D=4
C=pi ×D
C=3.14×4
C=12.56
1000000000000 x 21392938402840
Answer:
2.1392938e+25Step-by-step explanation: you just times it so u get this answer
Answer:
2.13929384 x10^25
Step-by-step explanation:
use a calculator
Write the phrase as an expression.
28 divided by 7
An expression is
Just to let you guys know the answer is not 28/2 because someone already got it wrong.
Answer:
28 divided by 7 is 4
Step-by-step explanation:
example: There 28 cupcakes if there are 7 people how many will each get? Ok so you have 28 groups of 7 and then you'll get your answer which is 4.
The mathematical expression for the phrase 28 divided by 7 is 28 ÷ 7 and the value of the expression is 4.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
28 divided by 7,
The mathematical expression for the above statement can be written as shown below,
28 ÷ 7
Calculate the value of the expression as shown below,
28 ÷ 7 = 4
Thus, the expression is 28 ÷ 7.
To know more about division:
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What percent of 75 is 21?
A school’s math department has money to spend on calculators. It uses the equation y = 1,000 – 80x to determine how much money is left in the account to spend on calculators, where x represents the number of calculators purchased. What is the meaning of the slope of the equation?
A. Each calculator costs $1,000.
B. The account had $1,000 before buying calculators.
C. Each calculator costs $80.
D. The account had $80 before buying calculators.
Answer:
C. Each calculator costs $80.
Step-by-step explanation:
Linear equation:
Has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and the meaning is how much the output changes when the input changes by 1 unit.
In this question:
Amount remaining after buying x calculators:
[tex]y = 1000 - 80x[/tex]
So the slope of -80 means that each calculator costs $80, since after buying a calculator, 80 is retired from the amount.
The answer is given by option C.
Solve for the value of x and y if ADCB - NOPM.
I need that please
Answer:
can we see the picture?
A veterinarian uses a specific formula to calculate the dosage of an antibiotic given to dogs with bacterial infections. For each 10 pounds of a dog's weight, she treats the dog with 50 mg of antibiotic per dose. Which of the following graphs describes the relationship between a dog's weight and the antibiotic dosage used to treat it?
Answer:
The first graph.
Step-by-step explanation:
Just took the test, got it right. Every increase of ten pounds is an increase in 50 mg of treatment, and it should start at 0.
The best option is first graph. The graph clearly shows the relationship between a dog's weight and the antibiotic dosage used to treat the dog.
What is graph?A graph is "diagrammatic or pictorial representation of the collection of data in organized manner."
According to the question,
A veterinarian uses a specific formula to calculate the dosage of an antibiotic given to dogs with bacterial infections. For each 10 pounds of a dog's weight, she treats the dog with 50mg of antibiotic per dose.
The horizontal line in the graph represents the dog's weight in (l b) and the vertical line in the graph represents the amount of dosage is used for treatment for bacterial infection of the dog.
Every increase of ten pounds is an increase in 50 mg dosage of treatment, and it should start at 0 in the graph.
Hence, the best option is first graph. The graph clearly shows the relationship between a dog's weight and the antibiotic dosage used to treat the dog.
Learn more about graph here
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Many grocery store chains offer customers a card they can scan when they check out and offer discounts to people who do so. To get the​ card, customers must give​ information, including a mailing address and​ e-mail address. The actual purpose is not to reward loyal customers but to gather data.
Required:
What data do these cards allow stores to​ gather, and why would they want that​ data?
Answer:
1. The data that these cards allow stores to gather are customer data.
2. The stores want the data to enable them understand the customer, their buying goals, customer preferences, and spending patterns. These data enable the stores to stock their stores to meet customers needs. They also use the data to understand the individual customers credit history and buying habits.
Step-by-step explanation:
Customer data are essential assets which businesses use to understand their customers. They obtain the data through firsthand responses from customers, through investigation, or by asking direct questions. Many organizations use loyalty cards to help them gather customer data, such as individual preferences and spending patterns.
HELP ME WITH THIS QUESTION ASAP
Answer:
5x + 10 y = 70
Step-by-step explanation:
48 - 2C = 88 solve for C
Answer:
c = -20
Step-by-step explanation:
Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 48 from both sides of the equation:
-2c + 48 = 88
-2c + 48 (-48) = 88 (-48)
-2c = 88 - 48
-2c = 40
Next, divide -2 from both sides of the equation:
(-2c)/-2 = (40)/-2
c = 40/(-2) = -20
c = -20 is your answer.
~
Let 3x + 9 = 5x – 3. What is the value of 4x ?
Answer: 24
Step-by-step explanation:
3x + 9 = 5x - 3
9 = 2x - 3
12 = 2x
x = 6
6 * 4 =24
4x = 24
Mrs. Write makes cookies for the school bake sale. She uses the equation y=0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A) 5 cookies per dollar
B) $2 per cookie
C) 50 cookies per dollar
D) $0.50 per cookie
Answer:D
Step-by-step explanation: just trust me on this one i have a 103% in 9th grade math
Three of the vertices of square ABCD are located at A(0,3), B(4,0), and C(7,4).
Determine the area of square ABCD.
Answer:
The area of the square ABCD is 25 square units
Step-by-step explanation:
The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.
The area of the square is
[tex]A = a^2[/tex]
Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):
[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]
[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]
a = 5
Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:
[tex]A = 5^2 = 25[/tex]
The area of the square ABCD is 25 square units
Find the area of the figures below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenth place
Answer:
50.3 square units
Step-by-step explanation:
area of rectangle: 11 x twice the radius
radius = 2
A(rect): = 11(4) = 44 sq units
A (semi-circle) = (π·r²) / 2
A = 4π / 2 = 2π = 6.28 sq units
44.0 + 6.28 = 50.28
Mr. Gary wrote the sequence below on the board.
10,5, 0, -5, -10
Drag and drop an answer choice into each empty box below.
0 5 10
+
Drag and drop items from the box above to accurately complete the
statement below.
Identify the value of aj and complete the recursive rule for Mr. Gary's
sequence.
ai =
an = an-1
Answer:
this could be wrong but for this question i put 10 as the first blank and for the second blank i put - and then for the third i put 5
Step-by-step explanation:
Im not sure on this. I have the same fsq and we haven't learned this yet but this is what I put because the sequence is subtracting 5
Answer:
Step-by-step explanation:
the answers is 75,000,000