4
A farmer ties 4 bags on his mule. If the
mule can carry up to 200 lb and each
bag weighs 30 lb, how many more bags
can the mule carry?

Answer:

Approximately 2.5%

Step-by-step explanation:

Note that if the mean is 64 oz, then one standard deviation below that would be 61 oz., and two standard deviations beow 64 oz would be 58 oz.

So our task boils down to finding the area under a standard normal curve to the left of 58 oz.  

We can do this in two ways.

One is to apply the Empirical Rule, which states that 95% of data lies within 2 standard deviations of the mean, on both sides of the mean.  Thus, 5% lies outside the lines representing 2 standard deviations on both sides; half of that (representing the area under the curve to the left of 58) is 2.5%, which is the answer to this question.

The other way is to use a calculator with probability distribution functions built in:

normcdf(-1000, 58, 64, 3) = 0.0228, or approximately 2.28%.  Here "-1000,58" represents the area under the curve to the left of 58, 64 represents the mean, and 3 represents the standard deviation.

Answer:

6:14

Step-by-step explanation:

Step-by-step explanation:

[tex]a) \: 1\% \: of \: 400 = \frac{1}{100} \times 400 = 4 \\ \\ b) \: 1\% \: of \: 2500 = \frac{1}{100} \times 2500 = 25 \\ \\ c) \: 1\% \: of \: 657= \frac{1}{100} \times 657 = 6.57 \\ \\ d) \: 1\% \: of \: 12= \frac{1}{100} \times 12 = 0.12 \\ [/tex]

that is the solution to the simultaneous equation

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

2x - y = 6 → (1)

x + y = - 3 → (2)

Adding the equations term by term will eliminate the term in y, that is

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting in (2) gives

1 + y = - 3 ( subtract 1 from both sides )

y = - 4

Solution is (1, - 4 )

Answer:

Where are the equations

Step-by-step explanation:

Answer:

New altitude = 5.5 miles

Step-by-step explanation:

We are given;

Velocity = 400 m/h

Angle of descent = 1°

Altitude = 7.2 miles

Time = 15 minutes = 15/60 hours = 0.25 hours

Now, the downward component of its speed is;

Vy = (400)sin(1°)

Vy = 6.98 mph

After a time t, its height will be;

h(t) = (7.2 - 6.98t) miles, for t = hours

We are given;t = 0.25 hrs

Thus;

h(0.25) = 7.2 - (6.98*0.25) miles

h(0.25) = 5.46 miles

h(0.25) ≈ 5.5 miles to the nearest tenth

The new altitude after 15 minutes of descent is approximately 5.5 miles.

Calculating the New Altitude of a Descending Airplane

To determine the new altitude of the airplane after 15 minutes of descending at an angle of descent of 1 degree from the horizontal, follow these steps:

Hence, after 15 minutes, the airplane's new altitude is approximately 5.5 miles.

[tex]\text{Solve for x:}\\\\\frac{1}{2}(10x-2) +3x = 25\\\\\text{Distribute the 1/2 to the numbers inside the parenthesis}\\\\5x-1+3x=25\\\\\text{Combine like terms:}\\\\8x-1=25\\\\\text{Add 1 to both sides}\\\\8x=26\\\\\text{Divide both sides by 8}\\\\x=\frac{26}{8}\\\\\text{Simplify the fraction by dividing by 2}\\\\\boxed{x=\frac{13}{4}}[/tex]

The solution to the problem 1/2 (10x-2) +3x = 25 is x = 3.25 which is obtained by expanding the equation, combining like terms, isolating the variable, and then solving for the variable.

Let's solve the equation 1/2 (10x-2) +3x = 25 step by step to find the solution to this problem.

Firstly, expand the equation: 1/2 * 10x is 5x, and 1/2 * -2 is -1. Therefore, the equation becomes 5x - 1 + 3x = 25.

Next, combine like terms on the left side of the equation. 5x + 3x is 8x, so you have 8x - 1 = 25.

Then, add 1 on both sides to isolate 8x on the left side. The equation becomes 8x = 26.

Finally, divide both sides by 8 to solve for x. Therefore, x = 26 / 8 = 3.25.

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The smallest approximate sample size required for Victoria to estimate the mean weight of apples with a 95% confidence level and a margin of error of no more than 5 grams is 35 apples.

Victoria wants to estimate the mean weight of apples in her orchard with a 95% confidence interval and a margin of error of no more than 5 grams, using an estimated standard deviation of 15 grams. To determine the smallest sample size (n) required, the following formula which incorporates the z-score for the desired confidence level, the standard deviation, and the desired margin of error can be used:

n = (z * σ / E)^2,

where z is the z-score corresponding to a 95% confidence level (which is 1.96), σ (sigma) is the estimated standard deviation (15 grams), and E is the desired margin of error (5 grams).

Plugging the values in gives us: n = (1.96 * 15 / 5)^2 = (1.96 * 3)^2
= 5.88^2 = 34.5744.

Since we cannot have a fraction of an apple, we round up to the nearest whole number. Therefore, the smallest approximate sample size required is 35 apples.

Victoria needs a sample size of at least 35 apples.

Victoria wants to estimate the mean weight of apples in her orchard with a 95% confidence interval and a margin of error no more than 5 grams. We are given the standard deviation of 15 grams.

To find the smallest approximate sample size n, we can use the formula for margin of error (E) in a confidence interval:

E = Z * (σ/√n)

Here, Z is the Z-score for a 95% confidence level, which is 1.96, σ (sigma) is the population standard deviation (15 grams), and n is the sample size.

Rearrange the formula to solve for n:

n = (Z * σ / E)²

Substitute the given values:

Calculate:

n = (1.96 * 15 / 5)²

n = (1.96 * 3)²

n = (5.88)²

n ≈ 34.57

Since the sample size must be a whole number, we round up to the nearest whole number, which is 35. Therefore, Victoria needs a sample size of at least 35 apples to achieve her desired margin of error.

Answer:

34

Step-by-step explanation:

4x+3x-8=90

so lets start by solving this

Let's solve your equation step-by-step.

4x+3x−8=90

Step 1: Simplify both sides of the equation.

4x+3x−8=90

4x+3x+−8=90

(4x+3x)+(−8)=90(Combine Like Terms)

7x+−8=90

7x−8=90

Step 2: Add 8 to both sides.

7x−8+8=90+8

7x=98

Step 3: Divide both sides by 7.

7x

7

=

98

7

x=14

Answer:

x=14

so plug this in and you get 3*14 -8

this equals 34

brainliest?

Answer:

It is 34 degrees

Step-by-step explanation:

Step 1:  Make an equation

[tex]4x + 3x - 8 = 90[/tex]

Step 2:  Combine like terms

[tex](4x + 3x) - 8 = 90[/tex]

[tex]7x - 8 = 90[/tex]

Step 3:  Add 8 to both sides

[tex]7x - 8 + 8 = 90 + 8[/tex]

[tex]7x = 98[/tex]

Step 4:  Divide both sides by 7

[tex]7x / 7 = 98 / 7[/tex]

[tex]x = 14[/tex]

Step 5:  Find the measure

[tex]3x - 8[/tex]

[tex]3(14) - 8[/tex]

[tex]42 - 8[/tex]

[tex]34^o[/tex]

Answer: It is 34 degrees

Answer:

the answer is number three

Step-by-step explanation:

Answer: a=b , greater than

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

d

Step-by-step explanation:

3 times (x) is 3x

3 times (2y) is 6y

and 3 times (5) is 15 and the end result would be 3x+6y+15

Answer:

1: do half then 12 more

2: 6/8 or 3/4

3: 8 or 8/100

4: 6.45,6.76

5: 1(83/100)

6:75/100

7:???

8:????

Step-by-step explanation:

hope this helped

Answer:

17.6 lbs

Step-by-step explanation:

1kg=2.2lbs

Multiply each side by 8

8kg=17.6 lbs

Given that there are 1 kilogram in 2.2 pounds. By unitary method, we can say that 8 kilograms are equal to 17.6 pounds.

Unitary method is the method of solving problems wherein you first find the value of one item, then to find value of k items, multiply value of one item by k.

The given question is about establishing a relationship between measurement units kilogram and pound with their units being kg and lbs respectively.

Given in the question,

1 kg = 2.2 lbs

8 kg = 8 * 2.2 lbs = 17.6 lbs

Implying that 8 kilograms are equal to 17.6 pounds.

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Answer:

35

Step-by-step explanation:

5+5+10+3+2+7+3=35

Answer:

The area is 42

Step-by-step explanation:

First you have to divide the figure into three rectangles

The first one has

Lenght=10

Width=5-2=30

Area=l x w=10x30=30

The other two are equivalent in lenght and width that means that if if we find the area of one we must multiply by 2 to find the other.

Rectangles 2 and 3

Lenght=3

Width=2

Area of one of them=3x2=6

Both rectangles=6x2=12

Now, we add everything up

Total Area=12+30=42

Answer:

Option 3

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.

Step-by-step explanation:

y = -4x - 19 y = 2x − 1

-4x - 19 = 2x - 1

6x = -18

x = -3

y = 2(-3) - 1 = -7

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given

y = -4x - 19 y = 2x − 1

-4x - 19 = 2x - 1

6x = -18

x = -3

y = 2(-3) - 1 = -7

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Answer:

Step-by-step explanation:

25 is equivalent to 820 because 2 x 20 = 5 x 8 = 40. 410 is equivalent to 820because 4 x 20 = 10 x 8 = 80. 615 isequivalent to 820 because 6 x 20 = 15 x 8 = 120.

Answer:

4:10 = 8:20( when multiplied by 2)

24:60 divide by 3 we get 8:20

2:5 multiply by 4 we get 8:20

Answer:

FALSE=Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set.

Step-by-step explanation:

Answer:

5x^2-7x+15

Step-by-step explanation:

(6x^2 - 4x + 11) + ( 4 - x^2 – 3x)

Combine like terms

6x^2 - x^2   -4x -3x   +11+4

5x^2     -7x        +15

Answer:

30 percent of 150 is 20%

Answer:

$30 of $150 is 20%

brainliest??

Step-by-step explanation:

150/30 = 5

100% / 5 is 20%

=20%

Answer:

a) C≈25.13

(ALSO, for "b" do you have a picture for it?)

Step-by-step explanation:

a) C=2πr

C=2π(4)

Answer:

Picture for b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

  = 3(x² - 2x - 3) ← distribute by 3

  = 3x² - 6x - 9 → A

The equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.

Given the zeros are x = - 1 and x = 3 then the factors are (x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation.

- 9 = a(0 + 1)(0 - 3)

a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a,

y = 3(x + 1)(x - 3)

Expand the factors and calculate.

y = 3(x² - 2x - 3)

y = 3x² - 6x - 9

Therefore, the equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.

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Answer:

C. A box plot is best for displaying the spread of data above and below the​ median, so Yuki should use a box plot.

Step-by-step explanation:

Neither dot plot nor histogram shows the median of data, but box plot it does. Also, box plots show the how spread data is from minimum value to first quartile, from first quartile to median, from median to third quartile and from third quartile to maximum value.

Final answer:

By substituting the given values f = 3, g = 2, and h = 7 into the expression f3 + 11g - 4h, and performing the operations as directed, we find that the value of the expression is 3.

Explanation:

To evaluate the expression f3 + 11g - 4h when f = 3, g = 2, and h = 7, we substitute these values into the expression.

Therefore, the value of the expression f3 + 11g - 4h is 3.

Answer:

6

Step-by-step explanation:

18x - 43 = 65

move the 43 over by adding since it's being subtracted

18x = 108

divide by 18 to get x by itself

x = 6

Answer:

x=6

Step-by-step explanation:

According to the question

18x-43=65

Let's add 43 to both sides

18x=65+43

18x=108

Divide both sides by 18

x=6

Therefore x=6

Answer:

540

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

To find the volume of a prism, you multiply the area of its base by its height. Thus, the volume of a prism with a base area of 24 m² and a height of 7 m is 168 m³.

The subject of this question is Mathematics, more specifically, geometry. The question wants to find the volume of a prism. The formula for finding the volume of a prism is Base Area x Height. In this case, the base area of the prism is given as 24 m², and the height is given as 7 m.

We use the formula: Volume = Base Area x Height which translates to Volume = 24 m² x 7 m= 168 m³. So the answer is 168 cubic meters, which corresponds to option A.

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