20
Step-by-step explanation:
X+100+60=180(due to stright angle) =X+160=180 =X=180-160 =X=20Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]
Probability of at least one problem:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]
Find the probability that the calculator has a good case and good batteries.
No problems, so
[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is 0.84 or 84%
Calculation of the probability:Since
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
So, the probability is
= 1- (0.08 + 0.11 - 0.03)
= 1 - 0.16
= 0.84
Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%
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Pls can someone answer how to round 5pi to the nearest 10th I’ll give you brain points or whatever
Answer:
Step-by-step explanation:
5[tex]\pi[/tex]=15.70...
To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.
Thus, it will become 15.7
The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The diameter of the nickel (circle) is 5 millimeters
D = 5 millimeters
The circumference of the circle = πD
Plug D = 5 millimeters in the above formula:
The circumference of the circle = 5π mm
As we know,
π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)
The circumference of the circle = 5π = 15.70796 mm
The circumference of the circle = 15.70796 = 15.7 mm
(Rounded to the nearest Tenths Place)
Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
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1. Find the area of the composite figure. Heellllppppp
Answer: 24
Step-by-step explanation:
Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.
what’s the slope of (0,3) (7,-9)
Answer:
-[tex]\frac{12}{7}[/tex]
Step-by-step explanation:
y2-y1 ÷ x2-x1
-9-3 ÷ 7-0
-12 ÷ 7
(Can not be simplified any further)
Answer:
-12/7
Step-by-step explanation
[tex]\frac{Rise}{Run}[/tex]
Slope equals the change in y over the change in x.
Equation:
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Plug in values.
[tex]\frac{-9-3}{7-0}[/tex]
Answer is:
[tex]-\frac{12}{7}[/tex]
You multiply a number by (–3) and the product is negative. List four possible numbers you could have multiplied by –3 and four you could not have multiplied.
Answer:
-3(43)= -129
−3(3) = −9
−3(2) = −6
−3(1) = −3
−3(0) = 0
−3(−1) = 3
−3(−2) = 6
-3(-3)= 9
Step-by-step explanation:
As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.
Multiplying −3 by a negative integer gives a positive number.
The product of a positive number and a negative number is negative.
On a map, the scale is 1 inch to 400 miles. If the
trip from Corpus Christi to El Paso is 600 miles,
how far apart will those cities appear on the map
(in inches)?
Answer:
B. 1.5 inches
Step-by-step explanation:
600/400=3/2=1.5
43=0.34x+19.5
What is x
Step-by-step explanation:
43=0.34x+19.5
=> 0.34x+19.5 = 43
=> 0.34x = 43 - 19.5
= 23.5
[tex] = > x = \frac{23.5}{0.34} [/tex]
=> x = 69.117 (Ans)
The area oc an isoceles triangle is 44 square centimeters. Use the equation 1/2(8h)=44 to find the height of fhe triangle.
At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate
Answer:
5.9%
Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
Given the following data set: 3 5 6 7 7 8 8 8 9 9 9 10 102 Researcher detected the technical error in the last observation and replaced 102 by 10.2. What happens to Interquartile Range (IQR) and Standard Deviation (SD)
Answer:
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
Step-by-step explanation:
Given the data:
3 5 6 7 7 8 8 8 9 9 9 10 102
Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102
The interquartile range (IQR) for the data:
IQR = Q3 - Q1
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 26.3
Correcting error in the data:
3 5 6 7 7 8 8 8 9 9 9 10 10.2
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 2.04
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
*) How is the sign of 18(–24)(-5)(-101)(-7) determined?
Complete the statement.
?
because there is an
number of
v
) The product is ?
negative factors.
Answer:
The first ? is positive, second ? is even.
Step-by-step explanation:
There is 4 negative factors. 4 is an even number. When there is an even amount of negative factors, the anwser is always even.
The complete statement is;
The product is Positive because there is an even number of negative factors.
Here;
The mathematical expression is,
18 (–24) (- 5) (-101) (- 7)
We have to complete the statement.
What is Product of number with negative sign?
If the number of negative factor is odd then sign of product is negative and if the number of negative factor is even then sign of product is positive.
Now,
The mathematical expression is,
18 (–24) (- 5) (-101) (- 7)
Value of 18 (–24) (- 5) (-101) (- 7) = 1,527,120
Hence, The product is Positive because there is an even number of negative factors.
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Dion builds a pattern that is represented by the equation b equals 2 F + 6 where f is the figure number of the pattern and B is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern?
9514 1404 393
Answer:
24
Step-by-step explanation:
Using 9 as the figure number, Dion's equation tells us there are ...
2(9) +6 = 18 +6 = 24 blocks in figure 9
Angle 1 and angle 2 are supplementary. angle 1 measures 3x and angle 2 measures 2x + 10. what does x equal?
Step-by-step explanation:
3x+2x+10=180
5x+10=180
5x=170
x=34
so the value of x is 34
The value of x is 34.
Here,
Angle 1 and angle 2 are supplementary.
And, angle 1 measures 3x and angle 2 measures 2x + 10.
We have to find the value of x.
What is Supplementary angle?
Supplementary angles are those angles that sum up to 180 degrees.
Now,
Angle 1 and angle 2 are supplementary.
⇒ ∠1 + ∠2 = 180°
And, angle 1 measures 3x and angle 2 measures 2x + 10.
⇒ 3x + 2x + 10 = 180
⇒ 5x + 10 = 180
⇒ 5x = 170
⇒ x = 34
Hence, The value of x is 34.
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A dilation maps AB onto A'B'. If the coordinates of the
endpoints are
A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
what is the scale factor?
Answer:
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
[tex]A = (4,2)[/tex]
[tex]A' = (10,5)[/tex]
[tex]B = (10,6)[/tex]
[tex]B' = (25,15)[/tex]
Required
Determine the scale factor (k)
Scale factor is calculated using:
[tex]Old * k = New[/tex]
In this case, we have:
[tex]AB* k = A'B'[/tex]
Make k the subject
[tex]k = \frac{A'B'}{AB}[/tex]
Using point A and A'
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(10,5)}{(4,2)}[/tex]
Factorize the numerator
[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*1[/tex]
[tex]k = 2.5[/tex]
Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: Strength High Low High conductivity 74 8 Low conductivity 15 3 a. If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high
Answer:
0.74
Step-by-step explanation:
Given :
__________________ STRENGTH __
__________________High _ Low
High conductivity _____ 74 __ 8
Low conductivity _____ 15 ___ 3
Probability that conductivity is high and strength is high :
This the probability of High conductivity n High strength = P(High conductivity n High strength)
Probability = required outcome / Total possible outcomes
Required outcome = P(High conductivity n High strength) = 74 (from table)
Total possible outcomes = total sample size = 100
Hence,
P(High conductivity n High strength) = 74 / 100 = 0.74
What is -5-3(-5x-3)-3x
Answer:
12x+4
Step-by-step explanation:
when simplified you would get 12x + 4
Can someone HELP ME please!!?
please help! (URGENT)
Answer:
X = 5
Step-by-step explanation:
Heather knit a scarf for each of her 4 friends. Altogether, the scarves had a
total length of 27.6 ft. If each scarf was the same length, how long was each
scarf? Correct
Answer:
6.9 feet
Step-by-step explanation:
You can get this by dividing 27.6 by 4
then can check your answer by multiplying 4 by 6.9
A publisher reports that 40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
[tex]p-value = 0.9953[/tex]
Step-by-step explanation:
Given
[tex]P = 40\%[/tex] --- proportion of population
[tex]n = 200[/tex] -- samples
[tex]p = 31\%[/tex] -- proportion of samples
Required
Determine the p value
First, calculate the standard deviation ([tex]\sigma[/tex])
[tex]\sigma = \sqrt{\frac{P*(1 - P)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*0.60}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.24}{200}}[/tex]
[tex]\sigma = \sqrt{0.0012}[/tex]
[tex]\sigma = 0.0346[/tex]
Next, we calculate the z score
[tex]z = \frac{p - P}{\sigma}[/tex]
[tex]z = \frac{40\% - 31\%}{0.0346}[/tex]
[tex]z = \frac{9\%}{0.0346}[/tex]
[tex]z = \frac{0.09}{0.0346}[/tex]
[tex]z = 2.6012[/tex]
[tex]z \approx 2.60[/tex]
From the z table, the p value of [tex]z = 2.60[/tex] is: 0.9953
Hence:
[tex]p-value = 0.9953[/tex]
Solve the equation, and check the solution. w/3 = 0.9 (The w is a variable for the fraction)
Answer:
w = 2.7
Step-by-step explanation:
To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.
10 POINTS!! Select the correct answer.
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?
A. 0
B. 1
C. 2
D. 4
E. infinitely many
Answer:
the answer is E . infinitely many
explaination:
The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.
Answer:
E. Infinitely many
3) Andy earned 1,000$. He used 25% to buy food and 50% to pay
the rent. The rest he saved. How much money did he save?
Step-by-step explanation:
1000 devided by 75% gives 250
Which statement is NOT true in the equation y = 9x?
The value of y is 9 times the value of x.
The equation represents an additive relationship.
The value of y is 45 when the value of x is 5.
The equation represents a multiplicative relationship.
Answer:
dhdbdudbdudbdne d ieh eue
Answer: the equation represents an addictive relationship
Step-by-step explanation:
If Alan read 204 pages in6 hours, how many pages would you expect him
to read in 11 hours?
Answer:
374 Pages
Step-by-step explanation:
First find the unit rate. 204/6=34 pages per hour.
34*11=374
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oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long what is the percent error in this situation? , please tell me how you got the answer. Will give brainliest
Answer:
I'd say its 1.02% but don't quote me on that
Step-by-step explanation:
The percent error in the given situation is 2%. Therefore, option C is the correct answer.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long.
Difference in number =30-29.4
= 0.6
Now, percent error = 0.6/29.4 ×100
= 2.04%
≈ 2%
The percent error in the given situation is 2%. Therefore, option C is the correct answer.
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2x - 3y = -14
5x + 9y = -2
Step-by-step explanation:
2x-3y= -14
5x+9y= -2
multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.
➡️when you multiply,it will be
10x-15y= -70
-10x-18y= 4
cancel out each x value,then you get
-15y-18y= -70+4
-33y= -66, divide each side by -33 to get the value of y
⚪️y= 2
➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x
2x-3(2)= -14
2x-6= -14
2x= -14+6
2x= -8 divide both side by 2
⚪️x= -4
so the answer is (-4,2)
Some one please help
Answer:
1/31 or [tex]\frac{1}{31}[/tex]
To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
How high off the ground is the top of the monument?
Please help
Answer:
65 meters
Step-by-step explanation:
The height of the monument off the ground = x + 5
Find x using Pythagorean Theorem:
x = √(61² - 11²)
x = √3,600
x = 60 meters
Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters
Answer: 65
Word Problem: A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
Question: How high off the ground is the top of the monument?
