A basket contains 20 red apples. The rest of the apples are green. The
number of red apples is 80% of the total number of apples. How many
total apples are in the basket?

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Jon:

Initial investment (PV)= $14,500

Interest rate (i)= 0.05/4= 0.0125

Number of periods (n)= 4 quarters

Sara:

Initial investment (PV)= $16,250

Interest rate (i)= 0.04/365= 0.00011

Number of periods (n)= 365 days

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+ i)^n

Jon:

FV= 14,500*(1.0125^4)

FV= $15,238.71

Sara:

FV= 16,250*(1.00011^365)

FV= $16,915.67

Sara will have $1,676.96 more than Jon.

Answer:

The ratio of volumes is of 27.

Step-by-step explanation:

Volume of a cuboid:

A cuboid has dimensions length l, width w and height h. The volume is given by:

[tex]V = lwh[/tex]

Multiplying dimensions by 3:

This means that l = 3l, w = 3w, h = 3h. So

[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]

Ratio of volumes:

[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]

The ratio of volumes is of 27.

======================================================

Work Shown:

Find the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%

The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%

We have to determine the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is

B-C = 7.3-5.6

B-C= 1.70%, or you could say

C-A = 5.6 - 3.9

C-A= 1.70%

Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.

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Answer:

1)     (2,4)

2)    (5,-2)

Step-by-step explanation:

those are the points at which the lines cross making them the solutions to the equations

Answer:

120 units squared

Step-by-step explanation:

Complete Question

A manufacturer of banana chips would like to know whether its bag filing machine works correctly at the 445 gram setting is there sufficient evidence at the 0.01 level that the bags are underfilled? Assume the population is normally distributed State the null and alternative hypotheses for the above scenario

Answer:

[tex]H_o=\mu=445g[/tex]

[tex]H_a=\mu<445g[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]M=445g[/tex]

Significance level [tex]\alpha=0.01[/tex]

Generally the Null and Alternative Hypothesis is

[tex]H_o=\mu=445g[/tex]

i.e  The bags are not under filled

[tex]H_a=\mu<445g[/tex]

i.e The bags are under filled

length of base is2 inches:

Answer:

Solution given:

According to the questionArea of triangle=14 square inches

bh=14

7*b=14

b=14/7

b=2

length of base is2 inches:

if

A=½bh

then

Area of triangle=14 square inches

½bh=14

½*7*b=14

b=14*2/7

b=4 inches

the length of the base of the triangle is 4inches.

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

What is mean by Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

The area of a triangle = 14 square inches

Height of a triangle = 7 inches

Now,

The given formula for a triangle is;

⇒ A = bh

Where, A is the area, b is base and h is the height of the triangle.

Substitute all the values in above equation, we get;

⇒ A = bh

⇒ 14 = b x 7

Divide by 7, we get;

⇒ 14/7 = b

⇒ b = 2 inches.

Therefore,

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

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Answer:

6

Step-by-step explanation:

4 x 6=24 9 x 2=18

24-18=6

Answer:

X>Dy+c

Step-by-step explanation:

I did this question before

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

Answer:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

A 95% confidence interval for the population proportion was 0.68 ± 0.04.

We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.

Thus, the correct answer is:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

Answer:

76

Step-by-step explanation:

Answer:

I believe the answer is 76

Answer:

B

Step-by-step explanation:

[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]

Answer:

second option "y ≥ 3x − 1."

Step-by-step explanation:

Just solved it

Answer:

Step-by-step explanation:

5.

3x-1 = 4x+13

-1=x+13

12=x

3(12)-1

36-1

Answer: 35

Second 5.

I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)

6.

90+40+x=180

130+x=180

50=x

Answer: 50

7.

x+71=90

x=19

Answer: 19

The required round of the time 97.5 is 98 seconds.

Given that,

Albert jumped 100 times in 97.5 seconds. To round off the time taken to the nearest second.​

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
in 97.5 seconds 0.5 in the tenth place is close to 1,

So the round off the number will be 98 seconds,

Thus, the required round of the time 97.5 is 98 seconds.

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Answer:

b could be -1 or 0

Step-by-step explanation:

f(x) = 3x^2 +bx+2

if it has no real roots, the discriminant must be less than zero

b^2 -4ac <0

a=3  b=b  c=2

b^2 - 4(3)(2) <0

b^2 - 24 <0

b^2 < 24

Taking the square root of each side

b< 2 sqrt(6)  and b > 2 sqrt(6)

b could be -1 or 0

Answer:

Step-by-step explanation:

(number of sides-2)*180 = (6-2)*180 = 720°

a= 720/6= 120°

lines form 180° angles

b= 180-120= 60°

sum of angles in a triangle is 180, and the angles are ≡

c=180/3 = 60°

c and d are supplementary angles (they add to 180)

d= 180-60 = 120°

d ≡ e+e because are vertical angles

e= 120/2 = 60°

sum of angles in a triangle is 180

f= 180 -90-60 = 30°

(number of sides-2)*180 = (5-2)*180 = 540°

g= 540/5= 108°

Answer:

60 miles

Step-by-step explanation:

if 45 = 3/4

divide 45 by 3 = 15

15 * 4 = 60

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

9514 1404 393

Answer:

  coterminal angle: 98°

  reference angle: 82°

Step-by-step explanation:

Adding 360° × 3 = 1080° brings the angle into the range 0-360°.

The coterminal angle is -982 +1080° = 98°

This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.

Answer:

- Top Hat

- 14

- 37

Step-by-step explanation:

Answer:

[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\\frac{7}{12}\:\text{more cups of flour}[/tex]

Step-by-step explanation:

The total amount of flour, in cups, Matthew needs is equal to [tex]2\frac{1}{4}+2\frac{1}{3}=4\frac{7}{12}[/tex]. Because he only has 4 cups, we can write the following expression to determine how many additional cups of flour he needs:

[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\4+c=\frac{7}{12}, \\\\c=\boxed{\frac{7}{12}\:\text{more cups of flour}}[/tex]

Answer:

[tex]60x-5[/tex]

Step-by-step explanation:

Multiply 10 by 6

60x - 5

Answer:

i think false

Step-by-step explanation:

Answer:

100 - 3.1 = 96.9

142000 - 96.9 = 1410903.1