an experimenter flips a coin 100 times and gets 56 heads. find the 96.5% confidence interval for the probability of flipping a head with this coin. a) [0.355, 0.615] b) [0.375, 0.665] c) [0.455, 0.665] d) [0.505, 0.510] e) [0.455, 0.465] f) none of the above

For 8 pounds of weight, the charges be the same for both the companies.

Given, that To ship an overnight package

Shipping Company A charges $14 plus $2.25 per pound

Shipping Company B charges $20 plus $1.50 per pound

Let, the weight be w

And the cost of shipment by company A & B be A(w) & B(w) respectively.

According to the question,

A(w) = 14 + 2.25w

B(w) = 20 + 1.50w

Now, when charges be the same

A(w) = B(w)

14 + 2.25w = 20 + 1.50w

On subtracting 1.50w on both the sides, we get

14 + 2.25w - 1.50w = 20 + 1.50w - 1.50w

14 + 0.75w = 20

Now on subtracting 14 on both the sides, we get

14 + 0.75w - 14 = 20 - 14

0.75w = 6

On dividing both the sides by 0.75, we get

0.75w/0.75 = 6/0.75

w = 8

Hence, weight = 8 pounds.

For 8 pounds of weight, the charges be the same for both the companies.

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Answer: m (slope) = 3

Step-by-step explanation: Slope Solution

m=rise run=ΔyΔx

m=y2−y1x2−x1

m=8−53−2

m=31

m = 3

Point Slope Form

y−y1=m(x−x1)

y−5=3(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−5=3(x−2)

y−5=3x−(3×2)

y−5=3x−6

y=3x−6+5

y=3x−1

m=3

b=−1

Hope this helps :)

Answer:

Yes it is

Step-by-step explanation:

Every new number is 3 less than the last number

n-3

Answer:

Yes, -3

Step-by-step explanation:

An arithmetic sequence is when the numbers in the sequence are subtracted or added by the same value everytime to get the next number. (NOT multiplied or divided, if it's that then it's a geometric sequence)

from 36 to 33, we can see the change is -3
from 33 to 30, it's also -3
from 30 to 37, it's also -3

The common difference is the difference between the two consecutive terms in the sequence, which is -3

Since it's subtracting or adding by the same value everytime to obtain the next value, this sequence is an arithmetic sequence, and the common difference is -3

Answer:

the bakery sold 1468 blueberry buns sooooo yeah

Step-by-step explanation:

The value of angle 5 is 115°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

angle 2 is 65°

angle 6 = angle 2 = 65°( corresponding angles)

angle 6 + angle 5 = 180( angles on a straight line)

65 + angle 5 = 180

angle 5 = `180 - 65

angle 5 = 115°

In conclusion, angle 5 is 115°

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The Z score of the individual with IQ 90 is -0.67.

It is given that the scores are Normally distributed.

The mean given is 100 while the standard deviation is 15.

Let the IQ distribution be X.

Hence X follows a Normal distribution X~N(100, 225)

where

100 = mean

225 = standard deviation

To find the Z score we need to convert the following into the standard normal distribution.

To do that we need to follow

Z = ((x - μ) / σ)

here

μ = mean of the distribution = 100

σ = standard deviation of the distribution = 15

x = 90

Hence the Z score is

Z = (90 - 100) / 15

= -10/15

= -0.67

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The solution for x in the function when the function g(x) = 10 is 4

From the question, we have the following equation that can be used in our computation:

g(x)=x-4

To make the equation legible, we need to rewrite it

So, we have the following representation

g(x) = x - 4

Also from the question, we have

g(x) = 10

This means that we calculate x when g(x) = 10

Substitute the known values in the above equation, so, we have the following representation

10 = x - 4

So, we have the following equation

x - 4 = 10

Add 4 to both sides of the equation

So, we have the following representation

x - 4 + 4 = 10 + 4

Evaluate the equation

x = 14

Hence, the solution is 14

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Answer:

t=0

Step-by-step explanation:

Your equation would be 324=-16t^2+324 since 370-46 is 324. subtract each side by 324 and you get 0=-16t^2. t=0

Answer:

-3

Step-by-step explanation:

You can use  to find the slope of a line going through  and .

I like to line up the points and subtract vertically. Then put 2nd difference over 1st difference.

(6,h)

minus

(7,-10)

------------

-1     h-(-10)

This also said to be equal to -7:

Multiply -1 on both sides:

Subtract 10 on both sides:

[texh=-3[/tex]

So if h=-3 then the slope of the line going through (6,h) and (7,-10) is -7.

Let's test it:

(6,-3)

minus

(7,-10)

----------

-1  7

So the slope is 7/-1=-7. This is the intended goal.

The check is good.

Answer: -33/5

Step-by-step explanation:

The equation using the absolute value function is x+2y-8=0.

In the given graph, we have:

(h, k) ∈ (4, 2) and a = -1/2

In the general absolute value function, substitute these values:

Let's f(x) be y:

Therefore, the equation using the absolute value function is x+2y-8=0.

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Answer: ∠B≈39.81°

Step-by-step explanation:

[tex]\displaystyle\\tg\angle B=\frac{AC}{BC} \\\\tg\angle B=\frac{5}{6} \\\\\angle B=arctg\frac{5}{6} \\\\\angle B\approx39.81^0[/tex]

Answer:

4 times the difference of x and 2 is 4(x-2)

Answer:

12 tables per classroom.

Step-by-step explanation:

We will assume that the teacher uses all of the 4/5 oz of paint.  We can find how many samples of 1/30 oz are contained in the 4/5 oz by dividing:

(4/5)÷(1/30) = (4/5)*(30/1)

(4/5)*(30/1)  = (120/5)

(120/5) = 24 samples of 1/30 oz paint in (4/5) oz total paint.

Each of the 2 Pre-K classrooms have the same number of tables, so we can divide 24 samples by 2 to find the number of tables in each classroom,

*24 samples/2 classrooms) = 12 tables/classroom

Answer:

Step-by-step explanation:

Answer:

4/6 means 2/3 it is most likely 0, 67 or 0, 66.

Step-by-step explanation:

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

A portion going towards the principal(debt )

A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

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Answer:

(3,0) (-3,0)

Step-by-step explanation:

ask:))

The p - value is d ) a probability .

Defining P - Value

P - Value : It is the probability of obtaining results at least as extreme as the  observed results of a statistical hypothesis test , assuming that the null hypothesis is correct . The p - value does not , in itself , establish probabilities of hypotheses . Rather , it is a tool for deciding , whether to reject null hypothesis or not .

A smaller p - value means that there is stronger evidence in favor of alternative hypothesis .

Hence , the p - value is d ) a probability .

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Answer:

I think its 7/3 or 6/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) Because there are 7 red and 4 blue marbles, there are 7+4=11  marbles in the bag.

So the ratio of all marbles to blue marbles is 11 to 4.

We write this as follows. 11:4

(b)There are 7 red marbles and 4 blue marbles in the bag.

So the ratio of red marbles to blue marbles is 7 to 4.

We write this as follows. 7:4

The probability a dry day is followed by a light rain day is 0.07.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Given.

Here, the markov chain's three possible states are listed as dry, light rain, and wet.

From the second number in the first row, the chance of a dry day followed by a light rain is calculated as follows: P(dry⇒ light) = 0.01.

Therefore, the necessary probability in this case is 0.01.

We currently have (wet⇒ light) - 0.07

Therefore, the necessary probability in this case is 0.07.

The probability a dry day is followed by a light rain day is 0.07.

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The ratio of 2 meters to 76 centimetres is 50: 19.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

In simpler terms, a ratio compares values.

Let's find the ratio of 2 meters to 76 centimetres as follows:

We have to first convert the units so they will be same.

Hence,

1 cm = 0.01 m

76 cm = ?

cross multiply

length in metres = 76 × 0.01

length in metres = 0.76 metres

Therefore, let's multiply the 2 units by 100.

0.76 × 100 = 76 metres

2 × 100 = 200 metres

In ratio, 200 : 76 will be simplified as 50 : 19

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The perimeter of the rectangle is =  48cm

Acc to our question-

Hence,The perimeter of the rectangle is =  48cm.

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A graph of the inequality (-2x + y ≥ -6) is shown in the image attached below.

A graph simply refers a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rearrange and simplify the given equation in slope-intercept form as follows:

-2x + y ≥ -6

Adding 2x to both sides of the inequality, we have the following equation:

-2x + y + 2x ≥ -6 + 2x

y ≥ -6 + 2x

Rearranging the equation in slope-intercept form, we have the following equation:

y ≥ 2x - 6

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Answer:

84%

Step-by-step explanation:

correct answers = 42

incorrect answers =8

total mark=50

% of the correct =

[tex] \frac{42}{50} \times 100 = 84[/tex]answer is 84%

Javieratta worked for a total of 32 hours in the week of June to earn an amount of 304 dollar.

Javieretta earns $9.50 each hours she works at camp clap happy.

She earned $304 in week of june and $247 during a week in july.

Let us assume that she works X hours.

So, using unitary method, we can write,

X times the amount she earns in one hour = Earning in the week of june.

X(9.50) = 304

X = 304/9.50

X = 32 hours.

So, she worked for a total of 32 hours in the camp clap happy summer vacation.

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Answer:

4x + y = 21

Step-by-step explanation:

1. distribute in the parenthesis first, so the right side of the equation is not -4x+24

Right now the total equation looks like y+3 = -4x+24

2. Now we add the 4x to both sides to cancel it out on the left side, so we're left with:

4x+y+3=24

3. After that we can subtract the 3 from both sides to leave us with:

4x+y=21

Writing only p = 5 is a mistake since p = 0 is also a solution of the  quadratic equation

Given the quadratic equation: p² −5p = 0

p² −5p = 0

p(p−5) = 0

p = 0 or p−5=0    

p = 0 or p = 5

Jada made mistake in the  3rd step instead of him to break the equation into two parts and then equate them to zero i.e he neglected the part where p = 0 and only make use of p-5 = 0

Since the equation has two solutions, p = 0 and p = -5. Therefore, writing only p = 5 is a mistake because when p = 0 is substituted into p² −5p = 0, it also gives 0  

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