A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 234.1-cm and a standard deviation of 2.3-cm. Find P80, which is the length separating the shortest

Answer:

4 dimes and 6 nickkels

Step-by-step explanation:

Multiply -1/4 by -7/9 ((To do this, multiply the numerator by the numerator and the denominator by the denominator.)

\(\bf{\dfrac{-1(-7)}{4\times9)} \ \ \to \ \ \ Multiply }\)

Do the multiplications in the fraction -1(-7) / 4 x 9.

\(\bf{\dfrac{7}{36} \ \ \Rightarrow \ \ \ Answer }\)

Answer:

$3.0375

Step-by-step explanation:

Original price of dinner = $2.25

If cost percentage of 35%, then the additional cost paid will be;

35% * 2.25

= 0.35 * 2.25

= $0.7875

Target price = Original price + additional cost

Target price = $2.25 + $0.7875

Target price = $3.0375

Step-by-step explanation:

1 kg = 1000 grams (hence the name : "kilo" means 1000).

so, 2kg = 2×1000 = 2000 grams.

now, how many CDs are in 2000 grams, when 1 weighs 10 grams ?

in other words : how often does 19 grams fit into 2000 grams ?

that is what division is for :

2000/10 = 200

so, you would need 200 CDs to reach 2kg.

Answer:

110

Step-by-step explanation:

A factory makes 5 recliners for every 2 couches that is produced.

The factory makes a total of 154 recliners and couches in a day

Let y represent the unit of work that was carried out in the factory

5y +2y= 154

7y= 154

y= 154/7

y = 22

Therefore the number of recliners made can be calculated as follows.

= 5 × 22

= 110

Hence 110 recliners were made

Answer:

-4/3

Step-by-step explanation:

m1m2=-1

so 3/4*X= -1

3X=-4

x= -4/3

Step-by-step explanation:

x²-6x+9=0

using the almighty formula where a=1 , b=-6 , c=9

Answer:

1 + 3 (x - 5) = 3x - 14

Step-by-step explanation:

Given:

1 + 3 (x - 5)

Open parenthesis

= 1 + {(3 * x) - (3 * 5)}

= 1 + (3x - 15)

= 1 + 3x - 15

= 3x - 14

1 + 3 (x - 5) = 3x - 14

Answer:

x=1

Step-by-step explanation:

The value for x is 0 or 1.

The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if \(b^x\) = n

Given:

logx + log(x + 2) = log(3x)

Using the Property

log a+ log b= log(ab)

So, logx + log(x + 2) = log(3x)

log ( x(x+ 2)) = log( 3x)

Now, Comparing

x(x+2) = 3x

x² + 2x = 3x

x² = x

x²-x= 0

x(x-1)= 0

x=0 or 1.

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The expression is undefined when t equals 8.

To find the excluded values for the expression 7t - 6/t - 8, we need to look at the denominator of the fraction, which is t - 8. This fraction is undefined when the denominator equals zero.

Setting t - 8 equal to zero, we get:

t - 8 = 0

t = 8

Therefore, the expression is undefined when t equals 8.



The expression 7t - 6/t - 8 has an excluded value at t = 8. This is because the denominator of the fraction, t - 8, becomes zero when t equals 8. In order for a fraction to be defined, the denominator must not equal zero. Therefore, we need to find all values of t that make the denominator zero. By solving the equation t - 8 = 0, we find that t = 8 is the only value that makes the denominator zero.



The excluded value for the expression 7t - 6/t - 8 is t = 8.



The expression 7t - 6/t - 8 has a fraction with denominator t - 8. For the fraction to be defined, the denominator must not equal zero. Therefore, we need to find all values of t that make the denominator zero.

To do this, we set the denominator equal to zero and solve for t:

t - 8 = 0

t = 8

Therefore, the expression is undefined when t equals 8.

To see why this is the case, let's consider what happens when we substitute t = 8 into the expression:

7t - 6/t - 8

= 7(8) - 6/8 - 8

= 56 - 6/8 - 8

= 56 - 0.75 - 8

= 47.25

However, if we look at the denominator of the fraction, t - 8, we see that it equals zero when t equals 8. This means that we cannot divide by zero, and the expression is undefined when t equals 8.

In summary, the excluded value for the expression 7t - 6/t - 8 is t = 8, as this is the only value that makes the denominator of the fraction equal to zero.

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Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).

To estimate the parameters of the model, we can use the following steps:

Calculate the mean of the first test scores and the mean of the second test scores.

Calculate the difference between each student's first test score and the mean first test score, and the difference between each student's second test score and the mean second test score.

Multiply the differences from step 2 together for each student, and sum the results.

Divide the sum from step 3 by the sum of the squares of the differences from step 2. This will give us the value of β1.

Calculate β0 by substituting the values of β1 and the mean first and second test scores into the equation: Second Test Grade = β0 + β1(First Test Grade)

Using these steps, we can calculate the estimates of the parameters as follows:

Mean first test score = (50+91+55+58+79+70+97+51+51+59+69+56+56+41+49+58+58+99+87+95+97)/21 = 68.381

Mean second test score = (70+58+74+65+60+60+48+73+73+66+67+70+73+76+72+68+73+53+58+50+55)/21 = 64.762

Difference between student 1's first test score and mean first test score = 50 - 68.381 = -18.381

Difference between student 1's second test score and mean second test score = 70 - 64.762 = 5.238

Difference between student 2's first test score and mean first test score = 91 - 68.381 = 22.619

Difference between student 2's second test score and mean second test score = 58 - 64.762 = -6.762

Sum of multiplied differences = (-18.3815.238) + (22.619-6.762) + (-13.3818.238) + (-10.381-0.762) + (10.619*-6.238) + (2.619*-7.238) + (28.619*-16.762) + (-17.3819.238) + (-17.3819.238) + (-9.381*-0.762) + (0.619*-0.238) + (-2.3816.238) + (-2.3817.238) + (-27.38116.238) + (-18.3813.238) + (-10.381*-3.762) + (-10.3815.238) + (-10.3815.238) + (30.619*-11.762) + (18.619*-6.762) + (26.619*-14.762) + (28.619*-9.762) = -962.676

β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619)

Thus, Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).

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Answer:

115 peices ignore this woejdndnsja

Answer:

There would be 115 pieces because 5.75 divided by 0.05 is 115

Step-by-step explanation:

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

\(V_A = Length * Base * Height\)

Where

\(Length \to a\)

\(Base \to b\)

\(Height \to h\)

So:

\(V_A = abh\)

For Prism B, we have:

\(Volume = Base\ Area * Height\)

Where

\(Base\ Area = Length * Base\)

and

\(Length = a\)

\(Base = b\)

So:

\(Base\ Area = a * b\)

\(Base\ Area = a b\)

The volume is then calculated as:

\(Volume = Base\ Area * Height\)

\(V_B = ab * Height\)

Where

\(Height \to h\)

So:

\(V_B = ab * h\)

\(V_B = abh\)

By comparison:

\(V_A = V_B = abh\)

Answer:

D Not enough information

Step-by-step explanation:

They give us one pair of congruent sides and we know there is a pair of  congruent angles because of vertical angles however we can't say for sure that the sides are equal because there is no theorem to prove it and we can't guess by eye in Geometry

Hope This Helps :)

Answer:

i think A is answer you should to do

Answer:

(x ÷ 2) + 7

Step-by-step explanation:

A quotient is the answer to a division problem...

So.... Let's say "a number" is x

(x ÷ 2) + 7 = Seven more than the quotient of a number and 2

That should be the answer!

The area of rectangle ABCD is equal to 20 square units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance AB = √[(-5 + 6)² + (2 - 4)²]

Distance AB = √[1 + 4]

Distance AB = √5

For the width, we have:

Distance AD = √[(2 + 6)² + (8 - 4)²]

Distance AD = √[64 + 16]

Distance AD = √80

Mathematically, the area of a rectangle can be calculated by using this formula:

Area of a rectangle = AD × AB

Area of a rectangle = √80 × √5

Area of a rectangle = √400

Area of a rectangle = 20 square units.

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Answer:

(1,-4) is in quadrant 4

The expected value of the number of points for one roll is -1/3

To find the expected value of the number of points for one roll, we need to consider the probabilities of the outcomes and their associated point values.

Jolene tosses two number cubes, and the sum of the two numbers determines the points she earns. The possible sums are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Let's calculate the probabilities of each sum:

Sum 2: There is only one way to roll a sum of 2 (1, 1). The probability is 1/36.

Sum 3: There are two ways to roll a sum of 3 (1, 2 and 2, 1). The probability is 2/36.

Sum 4: There are three ways to roll a sum of 4 (1, 3; 2, 2; 3, 1). The probability is 3/36.

Sum 5: There are four ways to roll a sum of 5 (1, 4; 2, 3; 3, 2; 4, 1). The probability is 4/36.

Sum 6: There are five ways to roll a sum of 6 (1, 5; 2, 4; 3, 3; 4, 2; 5, 1). The probability is 5/36.

Sum 7: There are six ways to roll a sum of 7 (1, 6; 2, 5; 3, 4; 4, 3; 5, 2; 6, 1). The probability is 6/36.

Sum 8: There are five ways to roll a sum of 8 (2, 6; 3, 5; 4, 4; 5, 3; 6, 2). The probability is 5/36.

Sum 9: There are four ways to roll a sum of 9 (3, 6; 4, 5; 5, 4; 6, 3). The probability is 4/36.

Sum 10: There are three ways to roll a sum of 10 (4, 6; 5, 5; 6, 4). The probability is 3/36.

Sum 11: There are two ways to roll a sum of 11 (5, 6; 6, 5). The probability is 2/36.

Sum 12: There is only one way to roll a sum of 12 (6, 6). The probability is 1/36.

Now, let's calculate the point values for each sum:

Sum 6 or 12: Jolene earns 8 points with a probability of (5/36 + 1/36) = 6/36.

Other sums: Jolene loses 2 points with a probability of (1 - 6/36) = 30/36.

To calculate the expected value, we multiply each point value by its corresponding probability and sum them up:

Expected Value = (8 * 6/36) + (-2 * 30/36)

= (48/36) - (60/36)

= -12/36

= -1/3

Therefore, the expected value of the number of points for one roll is -1/3, which means Jolene can expect to lose 1/3 of a point on average for each roll.

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Answer:

a^2-12a+35

Step-by-step explanation:

(a-7)(a-5)

a^2-7a-5a+35

a^2-12a+35

The statement that accurately describes the form of the sampling distribution is:The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

According to the central limit theorem, regardless of how the population distribution is shaped, the sampling distribution of the sample mean will be approximately normally distributed for a sufficiently large sample size.

For this situation, irregular examples of 32 are drawn from Meredith's patient populace, which fulfills the state of a sufficiently huge example size. The central limit theorem can be used to determine the sampling distribution's mean and standard error.

In this instance, the population mean, which is 37, is equal to the mean of the sampling distribution.

The population standard deviation divided by the square root of the sample size is the sampling distribution's standard error. For this situation, the standard mistake is 8 partitioned by the square foundation of 32, which is around 1.41.

Therefore, the statement that accurately describes the form of the sampling distribution is:

The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

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Answer:

b took the test right now

Step-by-step explanation:

The required, seat width is the continuous variable in the given table.

Continuity is a mathematical concept that describes the smoothness of a function or a curve. A function is said to be continuous if there are no abrupt changes or breaks in the values it takes as the input varies. More formally, a function f(x) is continuous at a point x = a if the limit of f(x) as x approaches a from both sides exists and is equal to f(a).

For example, a function that describes the temperature in a room as a function of time is continuous if there are no sudden changes or jumps in the temperature.

Here,
The number of seats is not a continuous variable because it can only take discrete values (such as 120, 225, etc.).

The Wi-Fi and first-class variables are not continuous either because they are categorical variables that can only take a limited number of values (yes or no).

The seat width variable, however, is a continuous variable because it can take on any value within a range of values (such as between 19.9 inches and 20.6 inches). Therefore, seat width is the continuous variable in the given table.

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Answer:

14k

Step-by-step explanation:

add 10 and 4 because they both have k

In statistics, p-value significance is the measure of the strength of evidence against the null hypothesis.

P-value significance is used to determine whether or not a result is statistically significant. The p-value is the probability of obtaining the observed results or more extreme results if the null hypothesis is true. If the p-value is below the chosen significance level, usually 0.05, the null hypothesis is rejected, indicating that the results are statistically significant.

This means that the observed data is unlikely to have occurred by chance alone and that there is strong evidence to support the alternative hypothesis. P-value significance is an essential concept in hypothesis testing, and it is widely used in scientific research, medical trials, and other statistical analyses.

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Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The perimeter of ΔPRT.

= RP + PT + RT

The perimeter of ΔPRT is 120 m

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

We will apply the Pythagorean theorem to ΔPRT

PT² = RP² + RT²

PT² = 900 + 1600

PT² = 2500

PT = 50

Now,

The perimeter of ΔPRT.

= RP + PT + RT

= 30 + 50 + 40

= 120 m

Thus,

The perimeter of ΔPRT is 120 m

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The planet that has the larger mass is the planet B and the measurements in standard forms are

From the question, we have the following parameters that can be used in our computation:

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

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The probability of landing on yellow is less than the probability of landing on blue

Probability is the likelihood of a desired event happening.

Since there are one orange, two purple, two yellow, and three blue and the spinner divided into eight equal colored sections.

Thus, we can write the probabilities as follow:

probability of orange = 1/8

probability of purple = 2/8 = 1/4

probability of yellow = 2/8 = 1/4

probability of blue = 3/8

Therefore, the probability of landing on yellow is less than the probability of landing on blue is the true statement

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Answer:

k < 9/8

Step-by-step explanation:

let me know if you want an explanation :))