0.2019 is a fraction of the toasters that can be expected to fail during the fourth year of use for the given statistical studies
As it is the fraction of toasters that can be expected to fail during the fourth year of use. This is determined from a statistical study, which indicates that the fraction of electric toasters manufactured by a certain company that is still in working condition after t years of use is approximately 0.3012. To calculate the fraction of toasters expected to fail during the fourth year of use, we simply subtract 0.3012 from 1, which gives us 0.2019. This means that, according to the statistical study, approximately 20% of the electric toasters manufactured by the company can be expected to fail during the fourth year of use.
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A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a random sample of 160 reservations. She records whether they were made by a man or a woman, and also records how the reservation was made. She gets the following data: Phone 28 Men Women Fax 9 12 Email 37 29 45 Perform a chi-square significance test of association with a = .05. Be sure to include your null and alternative hypotheses, a justification for the use of this test, your test statistic calculations, your P-value, and your conclusion.
Answer:
Step-by-step explanation:
Here,
H_o: The way of reservation is independent of gender.
H_a: The way of reservation is not independent of gender.
We use a chi square test because we can calculate the expected frequencies for this chart.
Doing an Expected Value Chart,
33.7625 9.7125 30.525
39.2375 11.2875 35.475
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 4.482385929
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,
a = 3
b = 2
df = 2
Thus, the critical value is
significance level = 0.05
chi^2(critical) = 5.991464547
Also, the p value is
P = 0.106331579
Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we FAIL TO REJECT THE NULL HYPOTHESIS.
Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
I need help with this
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
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8.)
To buy your Halloween costume, you borrowed $15.00 from your mom. Then you
borrowed $3.50 from your Dad to buy face paint, and another $4.00 from your
sister for accessories. How much money do you owe altogether?
Answer:
22.50$
give brainiest
Answer:
You Owe $22.50
Step-by-step explanation: All yo do is add up all of the $ That they owe to each person and That is your answer.
When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?
Answer:
Step-by-step explanation:
Mother=5hrs
Sandy and Allen and mother=2.5
Allen with mother=3.5
It would take sandy 5hrs coz she decorates the house herself so if u think logically it took her mother 5 hrs so it would take her.Coz its only her doing it no one else is helping!
A bag contains 20 balls, some red and some purple. Suppose a student, without looking, chooses a ball out of the bag, records the color and then places the ball back in the bag. The student has recorded 3 red balls and 2 purple balls so far. Using these results, predict the number of red balls in the bag.
Answer:
12 red balls
Explanation:
The number of balls recorded so far:
• Red = 3
,• Purple = 2
This means that the relative frequency of obtaining a red ball will be:
\(\text{ Relative Frequency for Red Ball}=\frac{3}{3+2}=\frac{3}{5}\)\(\text{ Relative Frequency for Red Ball}=\frac{3}{3+2}=\frac{3}{5}\)Since there are 20 balls in the bag:
\(\begin{gathered} \text{ Expected Outcome}=\text{ Relative Frequency}\times\text{ Total Number of Trials} \\ =\frac{3}{5}\times20 \\ =3\times4 \\ =12\text{ red balls} \end{gathered}\)The number of red balls in the bag will be most likely 12.
1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.
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What type of sequence is this? (2, 4, 8, 16, 32)
Answer: A factor of 2 between each number
Step-by-step explanation: 2 (*2), 4 (*2), 8, and so on...
Answer:
Geometric sequence
Step-by-step explanation:
In a geometric sequence you must multiply by a common ratio to get from one term to the next.
To get from 2 to 4, multiply by 2.
To get from 4 to 8, multiply by 2, and so on.
This means that the common ratio is 2
Determine whether each of the following provides enough information to prove that △SQP ≅ △SQR. Select Yes or No for each statement.
Q is the midpoint of PR.
∠P ≅ ∠R
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ
For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.
What is triangle?
A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.
Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:
Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.
∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.
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POLYNOMIAL 2) How many total zeros would the function f(x)=2x^5−3x^3+x have?
a 1
b 2
c 4
d 5
Answer: 5
Step-by-step explanation: I used m.athway
Solve x + 8 > 13, x + 18 > 23, x + 28 > 33. Complete the description of a pattern. Then use the pattern to predict the solution of x + 5,558 > 5,563.
For each inequality, x > ?
, and the number added to x is ?
less than the number on the right side of each inequality. So, x > ?
is the solution of x + 5,558 > 5,563.
Answer:
For each inequality, x > 5
, and the number added to x is 5
less than the number on the right side of each inequality. So, x > 5
is the solution of x + 5,558 > 5,563.
Step-by-step explanation:
13-8=5
Find the measure of ∠AED for m∠BEC = 36.
Hello!
∠AED and ∠BEC are opposite angles
so ∠AED = ∠BEC = 36°.
∠AED = 36°If ƒ(x) = x2 − x + 1 and ƒ(-1), then the result is:
Answer:
3
Step-by-step explanation:
Substitute -1 for x in your equation. You should be left with 1+1+1 which equals 3.
if cos 30 = root 3/2, find the value of sin15
Answer:
To find the value of sin 15, we can use the half-angle formula for sine:
sin (θ/2) = ±√[(1 - cos θ)/2]
where θ is the angle in radians.
In this case, we want to find sin 15, which is half of 30. So we can write:
sin 15 = sin (30/2)
Using the half-angle formula for sine with θ = 30, we have:
sin 15 = ±√[(1 - cos 30)/2]
We are given that cos 30 = √3/2, so we can substitute this value into the formula:
sin 15 = ±√[(1 - √3/2)/2]
To simplify this expression, we can rationalize the denominator by multiplying both the numerator and denominator by √2:
sin 15 = ±√[(√2 - √6)/4]
Since 0° < 15° < 90°, the sine of 15 degrees is positive. So we can take the positive square root:
sin 15 = √[(√2 - √6)/4]
Therefore, the value of sin 15 is:
sin 15 = √[(√2 - √6)/4]
Rewriting 3x^2=6x and solving with rewritten
Answer:
x = 0 , x = 2
Step-by-step explanation:
3x² = 6x ( subtract 6x from both sides )
3x² - 6x = 0 ← factor out 3x from each term
3x(x - 2) = 0
equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 2 = 0 ( add 2 to both sides )
x = 2
solutions are x = 0 , x = 2
Problem 3-66
Examine each diagram below. Which diagrams are possible? Which are impossible? Justify each conclusion
Hint:
Answer:
All of them is impossible in mathematics
Step-by-step explanation:
In the first diagram we see a right triangle, which we can use pythagorean theorem to verify , but 20^2-14^2 does not equal to 5^2
IN the second diagram, According to the corresponding angles theorem, the statement “If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent” is true either way. But in the diagram we see 50 isn't equal to 48, hence it's a false statement too.
In the third diagram, we see we can verify it using the summation of triangle a+b+c=180, we clearly see 63+59+57 isn't equal to 180
So, indeed, all of the three diagram is impossible to exist in mathematics
write each info entire radical √48
The value of the radical √48 is 4√3.
Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.
Here, we are given the radical √48
To find the value of the radical, we will factorize 48
i.e., 48 = 2×2×2×2×3
= 16×3
Now, the square root of 48, that is, √48
= \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)
We know 16 is a perfect square of 4, that is, the square root of 16= 4
⇒√16=4
Using this, we have √48= 4√3
The correct answer is 4√3.
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How can I solve this without using a Calculator?
Answer:
D
Step-by-step explanation:
\(h(x)=2x^5+(a+s)x^4+(b+t)x^3\)
For the polynomial to be divisible by x⁴, the coefficient od the x³ term must be 0, and thus the answer is D.
Hellp! me thanks alot explain if u can
Answer:
15 sides
Step-by-step explanation:
360/24 =15
Hope this helps!
Answer:
number of sides = 15
Step-by-step explanation:
since we are given the size of exterior angle and we know that the number of sides (n) = 360 ÷ by the size of the exterior angle.
so it's 360÷24 which is 15
I hope it's helpful!
A company discovers that to produce x = 940 new electronic parts, it will cost y = $55040. To produce 1000 new electronic parts, it will cost $58100.
Compute the slope of the costs and choose the most accurate statement from the following:
A.) Costs are increasing at a rate of $57 per item.
B.) Costs are decreasing at a rate of $50 per item.
C.) Costs are decreasing at a rate of $57 per item
D.) Costs are increasing at a rate of $51 per item.
E.) Costs are decreasing at a rate of $51 per item.
F.) Costs are increasing at a rate of $50 per item.
The slope of the costs and choose the most accurate statement are captured in the below option:
D.) Costs are increasing at a rate of $51 per item
What is the slope cost?
The slope of a line is the degree of change in y coordinates(costs) with respect to change in x coordinates(volume of output).
The formula for slope of the costs is as given below:
slope=(new costs-old costs)/(new quantity-old quantity)
new costs=$58,100
old costs=$55,040
new quantity=1000
old quantity=940
slope=($58,100-$55,040)/(1000-940)
slope=$51.00
This implies that for every additional new electronic part, the cost goes up by $51.00
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2y+5x=4 please help quickly
Answer:
5x+2y=4
Step-by-step explanation:
CAN SOMEONE PLEASE HELP me with the correct answer!!!!! I need this done please help like please
8
If d = 2, what is the value of (4-d)?
O A. 1
OB.
3
OC.
4
OD
0
Res
Answer:C
Step-by-step explanation:
please help me i dont understand thank you!!
Answer:
32 units squared
Step-by-step explanation:
Split up the figure into easy to find area parts. So, theres 2 triangles, and in the middle of those, you can make a square. And that would make the top part a large triangle! Now find the area of these
Large triangle: 1/2 (4)(10) = 20
Smallest triangle: 1/2(2)(2) = 2
Medium triangle: 1/2(6)(2) = 6
Square: 2*2 = 4
Now add them all up! 20+2+6+4 = 32 units squared!
Suppose Gil can write a poem in 1 hour, Holly can write a poem in 2 hours, and Ivan can write a poem in 3 hours. Each person spends 12 hours per day writing poems and requires a wage of $10 per hour to do so. If a literary magazine needs one poem, how much will it cost
Answer:
The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.
Step-by-step explanation:
The wage indicate the amount of money earned in hour for production of poems. If a literary magazine needs just one poem, then the cost will be the wage multiplied by time taken for the creation of the poem. There are three possibilities:
Gil
\(C = \left(10\,\frac{USD}{h})\cdot (1\,h)\)
\(C = 10\,USD\)
Holly
\(C = \left(10\,\frac{USD}{h}\right)\cdot (2\,h)\)
\(C = 20\,USD\)
Ivan
\(C = \left(10\,\frac{USD}{h}\right)\cdot (3\,h)\)
\(C = 30\,USD\)
The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.
Make sure all solutions are in lowest terms. 5/6 • 1/3
please help me im literally crying help if I fail i give up i can't.
Answer:
52 m²
Step-by-step explanation:
12x3 = 36
2 x (11-3) = 2x8 = 16
36+16 = 52
Step-by-step explanation:
12 x 10 x 3 = 360
8 x 11 x 2 = 176
once you get the final amounts you add them to gather which is 536.
Hope This Helped You :)
The number of wins in the American Baseball League, Central Division, for a recent year is given in the table. Find the mean number of wins. Round your answer to one decimal place.
The mean number of wins for the five teams is ______wins?
Answer:
81
Step-by-step explanation:
Average | x = 81
Count | n = 5
Sum | Sum = 405
Solution:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 405 / 5
= 81
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12
Step-by-step explanation:
2. Ron has 1846 marbles in his collection; he gave 547 marbles to his sister. How many marbles are left with him then?
Answer:
1299 marble
Step-by-step explanation:
subtract 547 from 1846