12
There are 81 counters in a bag.
32 of the counters are green.
The rest of the counters are orange.
One of the counters is taken at random.
Find the probability that the counter is orange.

helpppp pls

Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

It is given by the following formula:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

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Answer:

The answer e i think

Step-by-step explanation:

Answer:

im pretty sure the answer is D. let me kno if im right

Answer:

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is  910*(1.2)^t

An initial population of 910 quail increases at an annual rate of 20%.

So,

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is 910*(1.2)^t.

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

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Explanation:

Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.

You can think of it like

price = constant + (mileage coefficient)*(mileage)

The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.

answer:

ABCD is not congruent to KLMN

ABCD cannot be mapped onto KLMN

Answer:

Step-by-step explanation:

Answer:

[tex]x=7,\\y=4\sqrt{2}[/tex]

Step-by-step explanation:

Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.

The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:

[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]

The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:

[tex]x=4+3=\boxed{7}[/tex]

Answer:

B .3.5 points of coffee did he drink

hope it helps

answer in picture

stay safe (..

Answer:

Hello There!!

Step-by-step explanation:

Reading gives the required time interval.Some precise stopwatches are electronically connected to the time event.Therefore, making it more accurate.

hope this helps,have a great day!!

~Pinky~

Answer:

Step-by-step explanation: 16 ft 7 in, I correctly believe:

Answer:

The dimensions are four by two by two meters.

Step-by-step explanation:

The volume for a rectangular prism is given by:

[tex]V=\ell wh[/tex]

Where l is the length (or depth), w is the width, and h is the height.

Since the height and width are both two meters less than the depth, we can write that:

[tex]h=\ell -2\text{ and } w = \ell -2[/tex]

We are also given that the total volume is 16 cubic meters. Substitute:

[tex]16=\ell(\ell -2)(\ell -2)[/tex]

Expand:

[tex]16=\ell(\ell^2 -4\ell +4)[/tex]

Distribute:

[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]

Isolate the equation. So:

[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]

We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:

[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]

Factor:

[tex](\ell ^2+4)(\ell -4)=0[/tex]

Zero Product Property:

[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]

Solve for each case:

[tex]\ell^2=-4\text{ or } \ell =4[/tex]

Since we cannot take the square root of a negative number, we can ignore the first case.

Therefore, the length (or depth) of the storage space is four meters.

Thus, the dimensions are four by two by two meters.

Answer:

$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

Step-by-step explanation:

Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:

4 x 2 = 8

3.5 x 2 = 7

1500 x 0.08 + 1500 x 0.07 = 225

1400 x 0.08 + 1600 x 0.07 = 224

100 x 0.08 + 2900 x 0.07 = 211

500 x 0.08 + 2500 x 0.07 = 215

Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

Answer:

0.52

Step-by-step explanation:

100% - 48% = 52%

[tex]\frac{52}{100}[/tex]

0.52

Answer:

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

Answer:

use photo math. it will help

Answer:

p=5

Step-by-step explanation:

5+p=10

Hence, p=10-5

=5

Answer:

5

Step-by-step explanation:

1. Move the constant to the right- hand side and change its sign.

p=10-5

2. Subtract the numbers

p=10-5

the answer is 5

Answer:

Graph A: (0,10) Graph B: (0,20)

Graph A: Height (feet) Graph B: Hight (feet)

Graph A: 138 Graph B: 120

Graph A: 32.6 Graph B: 43

Step-by-step explanation:

The smaller text was really blurry but I tried my best. Hope this helps!

Answer:

Step-by-step explanation:

I just pointed the answers, but quality of picture is poor: it's impossible to indicate the numbers on y-axis, and tell exact number on x-axis.

Answer:

x=28

y=v7vub8b9nf7v6v

Answer:

the second one for #4 and the third one for #5

Step-by-step explanation:

4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or

y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).

5.

Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.

Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.

If apple pie is "a" and lemon is "l":

6a + 4l = 80

6a + 5l = 94,

so C is the answer

Answer:

below

Step-by-step explanation:

15r kg therefore it would be 15r/5people

3r kg for each person

I hope this is help full to you

Answer:

The correct answer is "[tex]\frac{2}{7}[/tex]".

Step-by-step explanation:

According to the question,

Number of students,

= 35

A ! mid term A,

[tex]n(A) = 20[/tex]

B : final A,

[tex]n(B) = 13[/tex]

Didn't start,

[tex]n(A^c \cap B^c) = 12[/tex]

Now,

⇒ [tex]n(A \cup B)=35-12[/tex]

                   [tex]=23[/tex]

then,

⇒ [tex]n(A \cup B)=20+13-23[/tex]

                   [tex]=10[/tex]

hence,

The probability will be:

⇒ [tex]P(A \cap B)=\frac{10}{35}[/tex]

⇒                 [tex]=\frac{2}{7}[/tex]

Answer:

I think the answer is would be C

Answer:

A. Neil did not make a mistake.

Step-by-step explanation:

Everything looks fine in this problem.

Answer:

$30.53

Step-by-step explanation:

Find total sum

30+25+35=90

90+24=114

114+40=154

154+35=189

…

You will get 458

458/15=30.53333

Answer:

Step-by-step explanation:

i cant see the answer

Answer:

4+1=5(0+1)

Step-by-step explanation:

The formula is y2-y1=slope(x2-x1)

Find the slope by using the formula y2-y1/x2-y1.

Answer:

k>1.25

Step-by-step explanation:

The given quadratic equation is :

(k – 1)x² + x + 1 = 0

We need to find all values of k for which the above equation has two real and unequal roots.

For a quadratic equation ax²+bx+c=0, for real and unequal roots,

b²-4ac>0

Here, a = (k-1), b = 1 and c = 1

Put all the values,

1²-4×(k-1)1>0

1-4k+4>0

5-4k>0

k>1.25

S, k can take values more than 1.25. Hence, it can take values 1.5, 1.75.

Answer:

18

Step-by-step explanation:

Find the diagram attached

From the diagram

PR + RQ = PQ

PR + RQ = 38

PR = 38 - RQ

using similar triangle;

KQ/RQ = KP/PR

45/RQ = 50/38-RQ

Cross multiply

50RQ = 45(38-RQ)

50RQ = 1710 - 45RQ

50RQ + 45RQ = 1710

95RQ = 1710

RQ = 1710/95

RQ = 18

Hence the length of RQ is 18

Answer:

333..%

Step-by-step explanation: