Answer:
4.21875
Step-by-step explanation:
2.25*1.875 =4.21875
The area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have side measures of the rectangle:
[tex]\rm a = 2\frac{1}{4} \\\\\rm b = 1\frac{7}{8}[/tex]
The area of the rectangle A is given by:
[tex]\rm A = (2\frac{1}{4} )\times(1\frac{7}{8} )[/tex]
[tex]\rm A = (\frac{9}{4} )\times(\frac{15}{8} )[/tex]
[tex]\rm A = \frac{135}{32}[/tex] or
[tex]\rm A =4 \frac{7}{32}[/tex]
Thus, the area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.
Learn more about the area here:
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Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s Subscript men Baseline equals 0.98 minutes and s Subscript women Baseline equals 1.02 minutes. (a) Is there sufficient evidence to support the claim that men and women differ in repeatability for this assembly task at the 0.02 level of significance
Answer:
There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task
Step-by-step explanation:
Given
Let subscript 1 represent men and 2 represent women, respectively.
[tex]n_1 = 25[/tex]
[tex]n_2 = 21[/tex]
[tex]s_1 = 0.98[/tex]
[tex]s_2 = 1.02[/tex]
[tex]\alpha = 0.02[/tex]
Required
Determine if here is enough evidence
First, we need to state the hypotheses
[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]
[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]
Next, calculate the test statistic using:
[tex]F = \frac{s_1^2}{s_2^2}[/tex]
[tex]F = \frac{0.98^2}{1.02^2}[/tex]
[tex]F = 0.923[/tex]
Calculate the rejection region;
But first, calculate the degrees of freedom
[tex]df_1 =n_1 - 1[/tex]
[tex]df_1 =25 - 1[/tex]
[tex]df_1 =24[/tex]
[tex]df_2 = n_2 -1[/tex]
[tex]df_2 = 21 - 1[/tex]
[tex]df_2 = 20[/tex]
Using the F Distribution: table
[tex]c = \frac{\alpha}{2}[/tex]
[tex]c = \frac{0.02}{2}[/tex]
[tex]c = 0.01[/tex]
At 0.01 level (check row 20 and column 24), the critical value is:
[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound
At 0.01 level (check row 24 and column 20), the critical value is:
[tex]f_{0.01,20,24} = 2.74[/tex]
Calculate the inverse F distribution.
[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound
The rejection region is then represented as:
[tex]0.365 < Test\ Statistic < 2.86[/tex]
If the test statistic falls within this region, then the null hypothesis is rejected
[tex]F = 0.923[/tex] --- Test Statistic
[tex]0.365 < 0.923 < 2.86[/tex]
The above inequality is true; so, the null hypothesis is rejected.
This implies that, there is no sufficient evidence.
The expression 125 + 4n can be used to find the total price for n students to take a field trip to the aquarium. Determine the cost for 55 students to visit the aquarium.
Hurry plz
Answer:
125+ 4(55)
Step-by-step explanation:
345 is the answer
give brainliest if right
What is greater than 0.58 and less than 0.6
Answer:
0.59 im assuming
Step-by-step explanation:
Answer:
0.6=3/5
Step-by-step explanation:
on a double number line representes a heart rate in beats per min. how many minutes until the heart beats 300 times
Answer:
60
Step-by-step explanation:
Help what’s the rule
Solve and graph and plot this on the line
Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14
Answer:
7√x = 14
Step-by-step explanation:
A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?According to the task content;
It follows that we are required to determine the equation which is a radical equation.On this note, the required equation is 7 √x = 14 because the variable is under a radical.
Read more on radical equation;
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Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram. WILL NAME BRAINLIST!!!!!!!!!!!
Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
Geometry Question Need Help. I will give brainliest
Answer:
-4 + 5 + 1 is your answer I am the teacher of your Colony
I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG
Answer:
B) 3 5/9
Step-by-step explanation:
Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
find the mean 8,10,7,3,9,6,4,1
PLEASE JUST HELP!!!!!! Anyone!!!!
Answer:
the answer is 8 because 8 is 20% of 40
What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram
Answer:
for square its A=a2
for trapezoid its A=a+b/2h
for triangle A=hbb/2
for parallelogram A=bh
Step-by-step explanation:
for brainliest !!!! help
What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2
[(p^q)^r] is equivalent to [p^ (q^r)]
Answer:
True
Step-by-step explanation:
Just write down the answer.
FREE BRAINLIST NEED HELP ASAP
Answer:
C. 904.78 cubic inches
Step-by-step explanation:
The volume of a cylinder = πr²h
=π(6²)(8)
=288π
=904.778684234 in³
HELP! LOOK AT THE PHOTO
Answer:
The answer to the question provided is 30.
Step-by-step explanation:
[tex]5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30[/tex]
[I apologize if the answer to the question is inaccurate]
Answer: 30
Step-by-step explanation:
An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
B: 2,5
Step-by-step explanation:
Step One: We must assume this is rotating in a clockwise rotation since it is not -90 and there is no mention of it otherwise.
Step Two: To do this problem, you need to know the 90-degree rotation formula: (b, -a). This means that we make the x-coordinate negative and then switch spots with the x and y coordinates.
Step Three: By following this formula, we would make -2 negative, which makes it positive. Currently, the equation is (5, 2). Now, we need to finish the formula by swapping places: (2,5). That is the answer.
The locations of three water pumping stations form a triangle on a map of the area. The distance
from station A to station B is 650 meters. The distance from station B to station C is 558 meters.
Answer:
There is a picture attached in which the drawing of the triangle is present.
Options are
1. less than 92 meters
2. Exactly 92 meters
3. Between 92 and 1208 meters
4. greater than 1208 meters.
Step-by-step explanation:
Correct answer is
3. Between 92 and 1208 meters
Reason is 92 cannot be the answer because hypotenuse of a triangle can not be smaller than base and perpendicular as per Pythagoras theorem.
Also it cannot be greater than 1208 as can be proven by Pythagoras theorem.
Therefore the correct answer has to be between 92 and 1208 meters.
Multiple Choice
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
o A. P= 35 in., A = 300 in.2
O B. P = 70 in., A = 300 in.2
o C. P = 300 in., A = 70 in.2
o D. P = 35 in., A = 200 in.2
9514 1404 393
Answer:
B. P = 70 in; A = 300 in²
Step-by-step explanation:
The perimeter is the sum of the side lengths. Opposite sides are the same length, so the perimeter is ...
P = 20 in + 15 in + 20 in + 15 in = 2(20 in +15 in) = 2(35 in)
P = 70 in.
Only answer choice B has the correct value. (Its area figure is also correct.)
in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?
Answer:60 female workers
Step-by-step explanation:12+18=30
30x2=60
Please help me if not that’s fine no links!
Answer:
30°
Step-by-step explanation:
53°+97°+x = 180°
The sum of three angles must equal 180°
Solve the equation.
150°+x = 180°
x = 180°-150°
x = 30°
Therefore, x = 30°
A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation?
Answer:
C- Chi-square test for Homogeneity
Step-by-step explanation:
Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.
Hi there :D
I am struggling. I will mark brainliest!
Answer:
400.2
Step-by-step explanation:
A = π r l + π r²
l = √r² + h²
Solving for A
A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)
Which graph represents a function with direct variation?
Answer:
Second graph with straight diagonal lines
Step-by-step explanation:
The second graph with straight diagonal lines represents the direct variation
The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.
Hence, If value of variable A increases, then value of variable B will also increase
Answer:
I believe it's the third one
explanation:
its one of the only graphs that the line passes through the orgin, and its linear.
Hope it helps and plase forgive me if I'm wrong
Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.
Answer:
108 degrees
Step-by-step explanation:
you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108
Which equation is right
Answer:
b.5²+12²=13² is your answer