What is the measure of angle B in this triangle?

Enter your answer in the box.

m∠B=

Answer:

A

Step-by-step explanation:

If a manufacturer knows that their items have a normally distributed length, with a mean of 5.3 inches. the probability that the mean length of a sample of 20 items is less than 5.1 inches is 0.1314.

The standard deviation of the sampling distribution of the sample means (also called the standard error of the mean) can be calculated using the formula:

standard error of the mean = standard deviation / square root of sample size

So, in this case:

standard error of the mean = 0.8 / sqrt(20) = 0.178

To find the probability that the mean length of a sample of 20 items is less than 5.1 inches, we can standardize the sample mean using the formula:

z = (x - mu) / standard error of the mean

where x is the sample mean, mu is the population mean, and the standard error of the mean is 0.178.

So, we have:

z = (5.1 - 5.3) / 0.178 = -1.12

Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than -1.12 is approximately 0.1314.

Therefore, the probability that the mean length of a sample of 20 items is less than 5.1 inches is  0.1314.

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Answer:

the 2nd to last one................

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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Answer:

20 percent

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100.

The answer is \( { \underline{ \boxed{ \orange{ \tt{1020\:percent}}}}} \)

Hope it help ;)

Answer:

2c put me as brainlest

Step-by-step explanation:

Let's solve for c.

b=2c+6

Step 1: Flip the equation.

2c+6=b

Step 2: Add -6 to both sides.

2c+6+−6=b+−6

2c=b−6

Step 3: Divide both sides by 2.

2c

2

=

b−6

2

c=

1

2

b−3

Answer:

c=

1

2

b−3

now if ur just looking for the funtipn the asnwer would be 2c i think

Answer:

B. -6+8d-2c  C. -2c+8d-6

Step-by-step explanation:

In order to determine which expressions are equivalent to  you need to set the expression equal to the options available.

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution 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.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that \(n = 25\)

The chance for a procedural error is 10%

This means that \(p = 0.1\)

What is the probability that the manager finds more than two such transactions?

This is:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which

\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718\)

\(P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994\)

\(P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659\)

\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371\)

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629\)

0.4629 = 46.29% probability that the manager finds more than two such transactions

Using the binomial probability relation, the probability that more than 2 such transactions is made is 0.463

Given the Parameters :

Using the relation :

Substituting the values into the relation :

P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)

Using a binomial probability calculator :

P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)

P(X > 2) = 0.226 + 0.138 +... +..

P(X > 130) = 0.463

The probability that more than 2 such transactions is made is 0.463

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Answer:

B. m<B=50

C. m<C=65

Step-by-step explanation:

We know that the interior angles of a triangle add up to 180 so knowing that A and C would be the same because of the fact it’s isosceles, the measure of A+C=130 meaning measure of missing angle B would be 50.

Answer:

B and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is 80

8 percent of 1000 is 80.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given a number that is the 8 percent of 1000.

from the formula of percentage:

Percent = (value/total value)×100%.

In our case,

percent = 8 %

Total value is 1000

thus, Value = 8 * 1000/100

Value = 80

therfore, 80 is the value of 8 percent of 1000.

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Complete question:

What is8% percent of 1000?

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Considering the expression of a line, the price of the guitar in 2011 is $354.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.

Being:

the slope can be calculated as:

m= (300 - 246)÷ (2008 - 2005)

m= 54÷ 3

m= 18

Considering point 2 and the slope m, you obtain:

300= 18×2008 + b

300= 36,144 + b

300- 36,144 = b

-35,844 = b

Finally, the equation of the line is Price= 18×Year - 35,844

Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:

Price= 18×2011 - 35,844

Solving:

Price= 36,198- 35,844

Price= 354

In summary, the price of the guitar by 2011 is $354.

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Answer:

1a.11:25

2a.3:4

3a.4:5

4a.1:4

5a.8:21

6a.26:1

1.50 red apples

2.250 barries

3.473 turnips

4. 50 pears

5.10 melons

6.30 blueberries

Answer:

48(c)

Step-by-step explanation:

Answer:

its will take 3 hours

Answer:

C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.

Step-by-step explanation:

I took the quiz. I hope this helps :)

So in this case f(x) is number of pollinated flowers and x is the days. First you will need to determine the number of flowers pollinated at days 4 and 10 and the days in between.  f(4)= 3(4^2)= 3*16 = 48  f(5)= 3(5^2)= 3*25 =75  f(6)= 3(6^2)=3*36=108  f(7)= 3(7^2)=3*49=147  f(8)= 3(8^2)=3*64=192  f(9)= 3(9^2)= 3*81=243  f(10)= 3(10^2)=3*100=300    Now we need to find the average increase, so that will be the average of the differences between days  [(75-48)+(108-75)+(147-108)+(192-147)+(243-192)+(300-243)]/6  =(27+33+39+45+51+57)/6=42

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

False. When Jane turns left 40 degrees and walks 60 meters, she is farther away from her starting position than when she crossed the finish line.

If Jane turns left 90 degrees or 120 degrees, then she will also be farther away from her starting position than when she crossed the finish line. Turning left 90 degrees or 120 degrees will take her in a different direction, and thus she will be farther away from her starting position than when she crossed the finish line.

Therefore, the given statement is false.

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Answer:

8

Step-by-step explanation:

2x² + 3x - 6

plug in x with 2

2(2)^2+3(2)-6

2(4)+6-6

8+6-6

14-6

8

Step-by-step explanation:

This is an equation, where we need to find the value of x.

To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8

Now we have the equation:

3.4x + 23.8 - 2.1 = 35.5

Next, we can add 2.1 to both sides of the equation:

3.4x + 23.8 = 37.6

Then, we can subtract 23.8 from both sides of the equation:

3.4x = 13.8

Finally, we can divide both sides of the equation by 3.4 to find the value of x:

x = 4

Therefore, the value of x that solves the equation is 4.

The amount of water needed is 72 liters.

Given that, the ratio of the alcohol and water in a mixture of 72 units is 2 ratio 1, we need to find the amount of water that must be added to the mixture in order to make this ratio 1 ratio 2,

So,

The quantity of water in it = 72 / 3 × 1 = 24

New ratio =

48 / 24+x = 1/2

96 = 24+x

x =72

Hence, the amount of water needed is 72 liters.

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Considering the expression of a line, the slope of line that passes through points (-2,7) and (-3,3) is 4.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m can be calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (-2, 7) and (x₂, y₂)= (-3, 3), the slope can be calculated as:

m= (3 -7)÷ (-3 -(-2))

m= (3 -7)÷ (-3 +2)

m= (-4)÷ (-1)

m= 4

Finally, the slope is 4.

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Answer:

$0.96

Step-by-step explanation:

Take your cost and divide it by your amount.

$11.52/12 = 0.96

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

Answer:

33.3%

Step-by-step explanation:

Answer:

Slope=m=5/4

Point through which line is passing is (X,Y)=(4,−1)

By using slope-point form, the equation of line is given as,

(y−Y)=m(x−X)

(y−(−1))=5/4(x−4)

(y+1)=5x/4−5

(y+1)=(5x−20)/4

4(y+1)=5x−20

4y+4=5x−20

5x−4y−20−4=0

5x−4y−24=0

is the equation of line passing through the point (4,−1)and having slope 5/4

Hope it helps you :)

Step-by-step explanation:

Answer:

18m

Step-by-step explanation:

First find the area of the given rectangle. Use the formula
area = length * width = 27 * 12 = 324
So the rectangle has an area of 324m²
We are looking for the side a square of the same area. At a square, length and width are the same.
So the area = length * length => area = length²
=> 324m² = length²
to get the length, take the squareroot of both sides. Then you see
18 = length
A square of the same area as the rectangle has sides of 18 meters length.