A storekeeper wants to mix two types of flour to get 300 pounds, so he can sell it by 2.50$ per pound. If he uses flour worth $2.40 a pound with another flour worth $3.00 a pound, how many pounds of each does he use?

Answer:

a. mean=18.6

b. standard deviation=1.0

c. The distribution is a symmetry and mound-shaped but nowhere near normal.

Step-by-step explanation:

a. let [tex]\mu_x[/tex] be the sample mean.

-For a normal distributed sample, the population mean is equal to the sample mean:

[tex]\mu_x=\mu\\\\=18.6[/tex]

Hence, the sample mean is 18.6

b. Let s denote the sample standard deviation.

-For a normally distributed population, the sample standard deviation is calculated using the formula;

[tex]s=\frac{\sigma}{\sqrt{n}}\\\\=\frac{6}{\sqrt{36}}\\\\=1.0[/tex]

Hence, the sample standard deviation is 1.0

c. The sample has a mean of 18.6 and a standard deviation of 1.0

-Since it's derived from a normally distribted population, it will be symmetrical and have an almost normal shape.

-Hence, it is a symmetry and mound-shaped, but Not Normal.

The mean of the sampling distribution is 18.6. The standard deviation of the sampling distribution is 1.0. The sampling distribution of the sample mean score for a random sample of 36 students is normally distributed with a mean of 18.6 and standard deviation of 1.0, according to the central limit theorem.

The mean and standard deviation of the population, which are given as 18.6 and 6.0 respectively, are used to calculate the mean and standard deviation of the sampling distribution.

(a) According to the central limit theorem, the mean of the sampling distribution of the sample mean score for a random sample of 36 students (µx-bar) is equal to the mean of the population (µ), so µx-bar = µ = 18.6.

(b) The standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students (σx-bar) is the standard deviation of the population (σ) divided by the square root of the sample size (n), so σx-bar = σ/√n = 6.0/√36 = 1.0.

(c) The sampling distribution of the sample mean score for a random sample of 36 students is a normal distribution with mean µx-bar = 18.6 and standard deviation σx-bar = 1.0, according to the central limit theorem, since the sample size is sufficiently large (n > 30).

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Answer:

6 x 0 = 0

Step-by-step explanation:

Answer:

6770299

Step-by-step explanation:

To work this out you would first divide 1.3 by 100, which gives you 0.013. Then you would add 0.013 to 1, which gives you 1.013. This is because you are finding a percentage increase and so you would convert the percentage to a decimal and add it to 1. Then you would multiply 5949951 by 1.013 to the power of 10. This is because you are finding the percentage increase over a span of 10 years.

1) Divide 1.3 by 100.

[tex]1.3/100=0.013[/tex]

2) Add 0.013 to 1.

[tex]0.013+1=1.013[/tex]

3) Multiply 5949951 by 1.013 to the power of 10.

[tex]5949951*1.013^{10} =6770298.9019004[/tex]

4) Round to the nearest whole number.

6770299

Answer:

"It is plausible that 75% of the population takes a daily vitamin because the data shows that a sample proportion of 70% is fairly likely."

Step-by-step explanation:

I took the test!

Based on the dot plot, the majority of the simulated proportions fall between 0.65 and 0.85, which includes the value of 0.75 that Naomi is testing.

Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.

Naomi can draw the conclusion from the facts that it is implausible that 75% of the doctor's patients take a daily vitamin.

The dot plot reveals that most simulated proportions are below 75% and only a few are above it.

Further evidence that the sample percentage of 70% is unlikely to have originated from a population with an actual proportion of 75% is provided by the fact that the range of the simulated proportions is rather narrow.

The simulation performed by Naomi shows that the statistic that 75% of people take a vitamin every day is not plausible.

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Answer:

9-8=1

Step-by-step explanation:

Substitute 8 for z and gives you 9-8 which equals 1

You know:

z = 8       so substitute/plug it into the expression

9 - z       Plug in 8 into "z" since z = 8

9 - 8

1

Answer:

The expression that represents the total amount of money raised from selling [tex]\(x\)[/tex]  flowerpots is [tex]\(15x\)[/tex].

Explanation:

The total amount of money raised from selling [tex]\(x\)[/tex] flowerpots can be represented by the expression:

[tex]\[ \text{Total amount of money} = \text{Price per flowerpot} \times \text{Number of flowerpots sold} \][/tex]

Given that each flowerpot sells for $15, and [tex]\(x\)[/tex] represents the number of flowerpots sold, the expression would be

[tex]\[ \text{Total amount of money} = 15x \][/tex]

So, the expression that represents the total amount of money raised from selling [tex]\(x\)[/tex] flowerpots is [tex]\(15x\)[/tex].

Answer:

y = 5x - 13

Step-by-step explanation:

Use the formula  y = mx + b to solve for b. Then plug in known values.

Answer:

y=5x-13

Step-by-step explanation:

Answer:its D (3,7)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3y = 27x

We want to find k  when y = kx

Divide each side by 3

3y/3 = 27x/3

y = 9x

The constant of proportionality is 9

Answer:

9 Years

Step-by-step explanation:

Paige's dog is 1 1/2 years old, so subtract 10 1/2 by 1 1/2 to get an answer of 9 years.

Answer:

640

Step-by-step explanation:

the 2nd 4 rounds up making it 640 instead of 650

Answer:

A≈695.29cm²

Step-by-step explanation:

The area of a regular octagon with a perimeter of 96 cm is calculated by first finding the length of one side, then calculating the area of one of the eight isosceles triangles formed within the octagon, and finally multiplying this area by eight to get the total area, which is 384 cm².

To calculate the area of a regular octagon with a given perimeter, we first need to determine the length of one side. Since a regular octagon has equal sides, we can divide the perimeter by 8. In this case, the perimeter is 96 centimeters, so each side of the octagon is 96 cm / 8 = 12 cm.

We know that a regular octagon can be divided into eight identical isosceles triangles. The area of an isosceles triangle can be found by the formula A = (1/2)bh, where b is the base and h is the height.

To find the height of each triangle, we can draw an altitude from the center of the octagon to the base of one of the triangles, which creates two 90-degree triangles.

By using the Pythagorean theorem on one of these right-angled triangles, with the base of each being half the length of an octagon's side (6 cm), and the Pythagorean triple 6-8-10, we can determine the height to be 8 cm. Thus, the area of each triangle is (1/2) * 12 cm * 8 cm = 48 cm².

Finally, since there are eight triangles, the total area of the octagon is 8 * 48 cm² = 384 cm².

Answer:

These equations are in slope-intercept form. I can use the y-intercept and slope to graph both lines. I plot the y-intercept and use rise over run to locate another point on the line. Then, I can draw a line through the two points.

Step-by-step explanation:

Answer:

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represent the greatest number of games he can bowl.

Many goes bowling, he spends 4.25 for rent shoes and spends 2.50 for each game he bowls. It means that the amount that he would spend in bowling x games is

4.25 + 2.5x

If he has 25.00 to spend, then the inequality that Manny can use to determine the greatest number of games he can bowl is

4.25 + 2.5x ≤ 25

Answer:

i.)12 feet

Step-by-step explanation:

ut+1/2gt^2

7×1+1/2×10×1^2 =12

Answer:

42

Step-by-step explanation:

Let the number be "x"

We translate the word equation to algebraic equation.

First,

subtract 6 from me, so we have:

x - 6

Now,

Multiply by 2, so we have:

2(x-6)

Now,

Subtract 40, then divide by 4:

[tex]\frac{2(x-6)-40}{4}[/tex]

Now, you get "8", so equate this to 8, we get:

[tex]\frac{2(x-6)-40}{4}=8[/tex]

We now solve using algebra:

[tex]\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42[/tex]

The number is 42

Answer:

105.88%

Step-by-step explanation:

Efficiency:

Output/input × 100

4500/4250 × 100

105.8823529%

Answer:

12,89

Step-by-step explanation:

Answer:

$11.50

Step-by-step explanation:

(English) Granola bars cost $1 each and the yogurt is $.50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50. The second statement would yield $6 + $5.50, which equals $11.50.

(Espanol)Las barras de granola cuestan $1 cada una y el yogur es de $.50 por taza. Si conectamos esto a cada ecuación, verás que 12 barras de granola equivalen a $12, y 7 tazas de yogur equivalen a $3.50, para un total de $15.50. La segunda declaración produciría $6 + $5.50, lo que equivale a $11.50.

Hope this is correct :)

espero que esto sea correcto :)

Answer:

The height is 15 feet

Step-by-step explanation:

The height is 15 feet

Answer:538.72

Step-by-step explanation:5.2×7.4=38.48

Soo..577.2-38.48=538.72

Answer:

1.24 kilograms per cubic meter.

Step-by-step explanation:

The air density is "[tex]1.24\ \frac{kg}{m^3}[/tex]"

The initial weight of 7 ball [tex]= 0.615 \ kg\\\\[/tex]

weight of 7 inflated balls[tex]= 0.624 \ kg\\\\[/tex]

Calculating the mass (weight) of 7 air:

[tex]\to 0.624-0.615\ kg\\\\ \to 0.009\ kg\\\\[/tex]

Calculating the diameter of 7 balls:

[tex]\to 0.24 \ m\\\\[/tex]

Calculating the Radius of the ball:

[tex]\to \frac{\text{diameter}}{2}\\\\ \to \frac{0.24}{2}\\\\ \to 0.12\ m\\\\[/tex]

Calculating the volume of air in the ball:

[tex]\to \frac{4}{3} \pi r^3\\\\\to \frac{4}{3} \pi (0.12)^3 \\\\ \to 1.333333 \times 3.14 \times 0.001728 \\\\ \to 0.00723456\\\\[/tex]

Calculating the density of air:

[tex]\to \text{Air density}=\frac{\text{Mass}}{\text{volume}}\\\\[/tex]

                      [tex]=\frac{ 0.009}{0.00723456}\ \frac{kg}{m^3}\\\\ =1.244\ \frac{kg}{m^3} \\\\=1.24\ \frac{kg}{m^3}[/tex]

Therefore, the air density is "[tex]1.24\ \frac{kg}{m^3}[/tex]".

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Answer:

The answer to your question is 6.- B    7.- D

Step-by-step explanation:

Data

Parallelogram ACFG

6.-

m∠GAC = 112°

m∠ACF = ?

Process

These angles are supplementary, they measure the same.

                  ∠GAC + ∠ACF = 180

-Substitution

                      112 + ∠ACF = 180°

-Solve for ∠ACF

                      ∠ACF = 180° - 112°

-Result

                      ∠ACF = 68°

7.-

m∠AGF = 2a + 10

m∠ACF = a + 20

The angles ∠GAC and ACF are equal, they measure the same.

                   ∠GAC = ∠ACF

-Substitution

                   a + 20 = 2a + 10

-Solve for a

                   a - 2a = 10 - 20

-Result

                   -a = -10

                    a = 10

-Find ∠AGF

      ∠AGF = 2(10) + 10

                 20 + 10

                = 30°

Answer:

The answer is $10.8 (1,080 cents)

Step-by-step explanation:

First of all, let us calculate the area of the frame:

Area = Length × width = 18 × 3 = 54 in²

We are told that she charges 20 cents per square inch, therefore:

1 in² = 20 cents

∴ 54 in² = 20 × 54 = 1,080 cents.

We know that 100 cents = $1

∴ 1,080 cents = 1/100 × 1,080 = $10.8

Answer:

NO.

Step-by-step explanation:

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. So, in other words, 2 shapes  or figures in geometry are congruent if they have the exact same size and shape.

A rectangle has 2 pairs of parallel sides. One pair is longer than the other pair. Therefore, to be congruent, all sides have to be equal, which is a square, not a rectangle. So the answer is NO.

No a rectangle does not have four congruent sides instead it has two pairs of congruent sides.

A rectangle has two pairs of congruent sides that are opposite each other. Therefore, a rectangle does not have four congruent sides, but rather two pairs of congruent sides.

Answer:

Yes, acute

Step-by-step explanation:

Because 10 and 12 add up to more than 16, it is possible to construct an acute triangle with these side lengths.  Since 10^2 + 12^2 ≠ 16^2, we know that any triangle so constructed will not be a right triangle.

The measures 10, 12, and 16 can be the side lengths of a triangle because the sum of the two shorter sides must be greater than the longest side for a triangle to exist.

In this case, 10 + 12 is greater than 16, 16 + 10 is greater than 12, and 12 + 16 is greater than 10, satisfying the triangle inequality theorem. Therefore, a triangle can be formed.

Classifying the triangle: Using the Pythagorean theorem, we can determine that the triangle with side lengths 10, 12, and 16 is a scalene triangle, and since 10^2 + 12^2 is less than 16^2, it is an obtuse triangle.

Answer:

Stagflation is the combination of stagnation and inflation. Its simply mean continues increase in inflation while consumer demand for product is stagnant and there is relatively high unemployment

Reason;

Some economist hold that inflation is caused when demand for goods are high and demand for a product can not be controlled where there is no price regulation.

Answer: The reason was because Economists at that time believed that inflation only occurred when the demand for goods was high.

Step-by-step explanation:

Stagflation occurred in the 1970's in the United States under the rule of President Gerald R. Ford. Stagflation is a term used to describe a situation of both stagnation and inflation in the economy. The period was a tough time in the history of America. It occurred just after the tenure of President Johnson who contributed to the crisis through his policy of pumping money into the economy to increase spending without increasing taxes. The resultant effect of this was inflation.

America was also dependent on oil at that time, even though the price of oil was rapidly increasing. The period saw them importing more goods than exporting. Also, jobs were lost. Economists tried to solve the issue but it was difficult because they believed that inflation could only occur when the demand for goods was high.  

Answer:

The ratio of the surface areas and volume is 8((5y+5x) /25xy)

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes.

Let us assume that the radius =x

Radius r=5x/4

And the height =y

Height h= 5y/4

We know that the total surface area of a cylinder is

A total = 2πrh+2πr²

We can factor out 2πr

A total = 2πr(h+r)

The volume of a cylinder is given as

v= πr²h

The surface area and volume ratios

Can be expressed as

2πr(h+r)/πr²h= 2(h+r)/rh

= (2h+2r)/rh= 2h/rh + 2r/rh

= 2/r + 2/h

= 2(1/r + 1/h)

Substituting our value of x and y

For radius and height we have

= 2(1/5x/4 + 1/5y/4)

=2(4/5x + 4/5y)

=2*4(1/5x + 1/5y)

= 8 (5y+5x/25xy)

Answer:

Ratio of surface area = 25/16

Ratio of volume = 125/64

Step-by-step explanation:

The surface area and volume of a cylinder are given by the formulas:

Surface area = 2*(pi*r^2 + pi*r*h)

Volume = pi*r^2*h

If we increase the radius and height by 5/4, we have that:

New surface area = 2*(pi*(5/4*r)^2 + pi*(5/4)*r*(5/4)*h) = (5/4)^2 * 2*(pi*r^2 + pi*r*h) = (5/4)^2 * Surface area

New volume = pi*(5/4*r)^2*(5/4)*h = (5/4)^3 * pi*r^2*h = (5/4)^3 * Volume

So the ratios are:

ratio of surface area = New surface area / Surface area = (5/4)^2 = 25/16

ratio of volume = New volume / Volume = (5/4)^3 = 125/64

Answer:

Angle M = 120 degrees

Shortest side = MN

Middle Side = MO

Longest side = ON

Step-by-step explanation:

Answer:

MN < NO < OM

Step-by-step explanation:

∡ M = 180 -45-75=60°

45° opposite side - MN - shortest side

75° opposite side - OM - longest side

60° opposite side - NO

MN < NO < OM

Answer:

3 maybe

Step-by-step explanation:

 Solution shown in the picture is (x | x > 3).

Inequality given in the picture shows,

    Therefore, inequality shown in the picture will be x > 3.

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