I need help with this question

The probability that both the bolt and nail meet the specification is 0.8004. The probability that the bolt does not meet specifications is 0.08. The probability that at least one of the two does not meet specifications is 0.1996.

Given: the probability of bolts meeting the specification is 92%, the probability of nails meeting the specification is 87%. Since the bolt and nail are selected independently, we can use the multiplication rule of probability to calculate the probability of both the bolt and nail meeting the specifications.

Part A: Probability of bolt meeting specification P(Bolt) = 0.92

Probability of nail meeting specification P(Nail) = 0.87

We need to find the probability of both bolt and nail meeting specifications, i.e.,

P(Bolt ∩ Nail)P(Bolt ∩ Nail) = P(Bolt) × P(Nail)P(Bolt ∩ Nail) = 0.92 × 0.87

P(Bolt ∩ Nail) = 0.8004

Therefore, the probability that both the bolt and nail meet the specification is 0.8004.

Part B: Probability of bolt meeting specification P(Bolt) = 0.92

Probability of nail not meeting specification = 1 - P(Nail) = 1 - 0.87 = 0.13

We need to find the probability that the bolt meets specifications, but the nail does not, i.e.,

P(Bolt) × P(Not Nail)P(Bolt) × P(Not Nail) = 0.92 × 0.13P(Bolt) × P(Not Nail) = 0.1196

Therefore, the probability that the bolt meets specifications, but the nail does not is 0.1196.

Part C: Probability of bolt not meeting specification = 1 - P(Bolt) = 1 - 0.92 = 0.08

Therefore, the probability that the bolt does not meet specifications is 0.08.

Part D: We need to find the probability that at least one of the two does not meet specifications. This can be calculated by taking the complement of the probability that both meet specifications.

P(At least one) = 1 - P(Bolt ∩ Nail)P(At least one) = 1 - 0.8004P(At least one) = 0.1996

Therefore, the probability that at least one of the two does not meet specifications is 0.1996.

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Answer:

goodgydudufjdjdjdjdururirurur7rigjfifut

Step-by-step explanation:

goodghdhfudjdjsdhydydbsjshhdvrjeiid

Answer:

x = -1

Step-by-step explanation:

17x > -17, Divide both sides by 17

17x / 17 > -17 / 17

x > -1

Answer: 7000.

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

70000 ÷ 10% = 700000

The second lawn that Makayla mows has a length of 70 feet.

If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.

A = l x w

Area of first lawn = 10 feet x 7 feet

Area of first lawn = 70 ft^2

If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:

Area of second lawn = 7 x Area of first lawn

Area of second lawn = 7 x 70 ft^2

Area of second lawn = 490 ft^2

If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.

A = l x w

Area of second lawn = l x w

490 ft^2 = l x (7 feet)

l = 70 feet

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The measure of ZAFD is 50 degrees.

Based on the given information:

ZCFE is congruent to ZCFA.

mZCFB = 68°.

mZEFD = 62°.

To find the measure of ZAFD, we can use the fact that angles in the same segment of a circle are equal.

Since ZCFE and ZCFA are congruent, angle ZCFE is equal to angle ZCFA.

Therefore, mZCFA = mZCFE.

Now, let's find the measure of angle ZCFE:

mZCFE = mZCFB + mZEFD (Angle Addition Postulate)

mZCFE = 68° + 62°

mZCFE = 130°

Since ZCFA is congruent to ZCFE, we can conclude that mZCFA is also equal to 130°.

Now, to find the measure of ZAFD, we need to consider the angles in the quadrilateral ZAFD.

The sum of the angles in a quadrilateral is always 360°.

mZAFD + mZAFB + mZBFD + mZBFA = 360°

We know that mZAFB and mZBFD are equal to 90° because they are right angles (angle AFB and angle BFD are right angles in the diagram).

Therefore, we can rewrite the equation as:

mZAFD + 90° + 90° + mZBFA = 360°

Simplifying:

mZAFD + 180° + mZBFA = 360°

Rearranging the equation:

mZAFD + mZBFA = 360° - 180°

mZAFD + mZBFA = 180°

We know that mZBFA is equal to mZCFA, which is 130°.

Substituting the known values into the equation:

mZAFD + 130° = 180°

Subtracting 130° from both sides:

mZAFD = 180° - 130°

mZAFD = 50°

Therefore, the measure of ZAFD is 50 degrees.

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Answer:

3.6

Step-by-step explanation:

a² + b² = c²

a = 3

b = 2

3² + 2² = c²

13 = c²

c = 3.6

Answer:

13

Step-by-step explanation:

Answer:

We know that:

Mary has 5/7 of the red paint tube

And she also has 4/7 of the blue paint tube.

How much paint does she have in total?

Well, we only need to add these fractions.

5/7 + 4/7 = 9/7

We can rewrite the 9 as 7 + 2, then we get:

9/7 = (7 + 2)/7 = 7/7 + 2/7 = 1 + 2/7

This means that, in total, she has a complete tube and two sevents of other.

Using the system of equations, we get that the drama club is charging $21 for a regular gift basket and $39 or a deluxe gift basket.

Given that,

The drama club is selling gift baskets to raise money for new costumes.

Let x be cost of the regular gift baskets and y be the cost of the deluxe gift baskets.

During the fall play, they sold a combined 15 regular gift baskets and 17 deluxe gift baskets, earning a total of $978.

15x + 17y = 978

During the spring musical, they sold 27 regular gift baskets and 17 deluxe gift baskets, earning a total of $1,230.

27x + 17y = 1230

From both equations,

978 - 15x = 1230 - 27x

12x = 252

x = 21

Cost of regular gift basket = $21

Cost of deluxe gift basket = y = (978 - 15 (21)) / 17 = $39

Hence the cost two kinds of baskets are $21 and $39.

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Answer:

The IQR is 30 grams

Step-by-step explanation:

IQR=Q3-Q1=150-120=30

Answer:

x=1 or x=−2

Step-by-step explanation:

16x2+10x−27=−6x+5

Step 1: Subtract -6x+5 from both sides.

16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)

16x2+16x−32=0

Step 2: Factor left side of equation.

16(x−1)(x+2)=0

Step 3: Set factors equal to 0.

x−1=0 or x+2=0

x=1 or x=−2

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

B)34

Step-by-step explanation:

Answer:

B.34°

supplementary angles

their sum is 180

180=146+x

x=180-146=34

The value of sin 315° = -√2/2, cos 9π/4 = √2/2 , tan (-135) = 1°

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent .

We can use the following trigonometric identities to find the values ​​of sin, cos, and sun:

sin(x) = sin(x 360°)

cos(x) = cos(x 360°)

tan(x) = tan(x 180°)

Using these identities, we can convert  angles to equivalent angles in the first quadrant, where the values ​​of sin, cos, and sun are known.

sin (315°)

We can convert 315° to the corresponding angle in the first quadrant by subtracting 360°:

315° - 360° = -45°

Since sin(x) = sin(x 360°), we have:

sin(315°) = sin(-45°)

We know that sin(-θ) = -sin(θ), so:

sin(-45°) = -sin(45°)

We also know that sin (45°) = √2/2, so:

sin(315°) = -√2/2

Therefore, the power of 315  is equal to -√2/2.

cos(9π/4)

We can convert 9π/4 to the corresponding angle in the first quadrant by subtracting 2π:

9π/4 – 2π = π/4

Since cos(x) = cos(x 360°), we have:

cos(9π/4) = cos(π/4)

We know that cos(π/4) = √2/2, so:

cos(9π/4) = √2/2

Therefore, cos 9π/4 is equal to √2/2.

tan(-135°)

We can convert -135° to the corresponding angle in the second quadrant by adding 180°:

-135°- 180° = 45°

Since tan(x) = tan(x 180°), we have:

We know that tan(45°) = 1, so:

reddish brown (-135°) = 1

Therefore tan (-135°) equals 1.

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Answer:

A. 25°

Hope it helped

Answer:

150

Step-by-step explanation:

equation is linked below :)

Answer:

Write the point slope form of the equation of the line that passes through the points (5,-9).

---

slope = m = (1--9)/(-6-5) = 10/-11 = -10/11

-------------------

Form:: y = mx + b

Solve for "b"::

-9 = (-10/11)5 + b

-------

Step-by-step explanation:

ur really pretty btw :p

Making Vi the subject of formula gives the following expression: Vi = √(Vf² - 2aX).

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to describe the steps that should be taken to rearrange and make Vi the subject of formula. Therefore, the appropriate and required steps are listed as follows:

Vf² = Vi² + 2aX

Subtracting 2aX from both sides of the equation, we have:

Vf² - 2aX = Vi² + 2aX - 2aX

Vi² = Vf² - 2aX

Taking the square root of both sides, we have:

Vi² = Vf² - 2aX

Vi = √(Vf² - 2aX)

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Answer:

16

Step-by-step explanation:

U is the midpoint of TV ⇒ TV = TU + UV

TU and UV equals each others since U is the midpoint of TV

                          add -x to both sides

                           \(x + 8 -x = 2x - x \\8 = x \\x = 8\)

The amount of loss that the insurance company will pay is $70000

Deductible plus the amount of coinsurance equals the out-of-pocket maximum.

Determine the $1,000 deductible that the insured is required to pay.

Calculate the coinsurance payment due from the insured: 20% of $5,000 equals $1,000.

The coinsurance penalty is calculated using the straightforward formula: the loss multiplied by the amount of insurance that should have been in place, less any deductible, equals the amount that was actually paid.

The following covered losses are subject to the coinsurance provision: Property value: $200,000; policy limit: $140,000; coinsurance: 80%; loss: $100,000; deductible: $250; all other numbers: $200,000; etc.

The insured only had $140,000 when they should have had $160,000 (200,000 x.80).

The coverage will cover the deductible plus $87,500. (140,000/160,000

=.875; $100,000 x .875

= $87,500; $87,500 - $250

= $77,250)

Stop Limit/Value =%, Loss Amount x% = $ Amount Policy Would Pay (-) minus $ Deductible = $ Covered Loss Amount

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Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value's original equation.

Divide f(x) by x-1 , we get

k-27=R

Divide f(x) by x-2, we get

2k-44=4R

substitute value of R in second equation and solve, we get

k=32

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(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.

The factorization of x^3 2x^2 5x 6 is (x^2)(2x)(3) . This can be found by dividing x^3 2x^2 5x 6 by its prime factors.

You can also factor out x^2 from the expression x^3 2x^2 5x 6, which would leave you with x^2(x 2.5 6) or x^2(x 2.5 3)

Given that x3 - 2x2 - 5x + 6 = f(x),

We must determine the factored form of f in its entirety (x).

Consider (x - 1) as a factor (x).

Let's see if (x - 1) is a factor of f. (x).

f(1) = (1) (1)

3 - 2(1) (1)

2 - 5(1) + 6

= 1 - 2 - 5 + 6

= 6 - 6

= 0

f(1) = 0

(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.

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The interquartile range of the data will be 13

When arranged from lowest to highest, the IQR reflects the median 50% of values. To calculate the interquartile range (IQR), firstly compute the median (middle value) of the data's lower and upper halves. All those are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The interquartile range is the difference between quarters three and then one.

first, let us sort the data from lowest to highest

25,25,29,31,33,37,38,42,46

Q1- median of the lower half of the data=(29+25)/2=27

Q3-median of the upper half of the data=(38+42)/2=40

the interquartile range of the data will be Q3-Q1

40-27= 13

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It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer:

I don’t know but I know 27 times 630 plus 19 times 680 is 29,930 I’ve tried some other ways but it gets really close but not exact

Step-by-step explanation:

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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Susan needs to use a length of 20 feet for the floor of her treehouse.

In the scale drawing, the ratio of 2.5 inches to 3 feet represents the relationship between the actual measurements and the scaled measurements. To find the length of the floor in feet, we can set up a proportion using the given scale. Since 2.5 inches corresponds to 3 feet, we can write the proportion as follows:

2.5 inches / 3 feet = x inches / 20 feet

To solve for x, we cross-multiply and divide:

2.5 inches * 20 feet = 3 feet * x inches

50 inches * feet = 3x inches * feet

50 = 3x

Dividing both sides by 3:

50 / 3 = x

x ≈ 16.67

Therefore, the length of the floor in inches is approximately 16.67 inches. However, since we need the answer in feet, we round it to the nearest whole number, which is 17 feet. Therefore, Susan must use a length of 17 feet for the floor of her treehouse.

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