A woven rattan basket can hold up 6 lbs of items. A net bag of 4 oranges weighs 12 ounces. How many bags of oranges can the basket hold ?

Answer:

[tex]737\frac{4}{5}[/tex]cents

Step-by-step explanation:

1 Gallon of Gas = 368.9 cents (Note: 9/10 = 0.9)

1/2 Gallon of gas = [tex]\frac{368.9}{\frac{1}{2} }cents\\ =368.9 * 2\\= 737.8 cents[/tex]

or [tex]737\frac{4}{5}[/tex] cents (Reduced to simplest form)

In the research of Professor Nwamabi  the use of air conditioning represents independent variable.

Given 100 participants are randomly selected in a research in which effects of air conditioning on sleep habits is studied.

Dependent variable is the variable whose value is dependent on the other variables like increase in profit and production.

Independent variable is the variable whose value is not dependent on the other variables.

In the research of Professor Nwamabi in which he is examining the effects of air conditioning on sleep habits, use of air conditioning represents independent variable. In this study the effect is on sleep habits means the value of sleep habits will change due to use of air conditioning. It shows that the use of air conditioning is not depending on other variable in the research.

Hence the use of air conditioning represents the independent variable.

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The correct answer is 700 months .

Given,

         I = 105

         P = 100

            r = 0.15

Now use simple interest formula,

      [tex]S.I. = \frac{p * r* t}{100}[/tex]

105=100×(0.15)×(t)

Swap sides so t is on the left.

100 ×(0.15)×(t)=105

Divide both sides by 100.

0.15t=1.05

Divide both sides by 0.15

t=700

So, we see that it takes 700 months to earn this amount.

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The function that  will give the area, f(x), of the quilt in square feet is

Area = f(x) = 10x²+31 + 15

Generally, the equation for Area of Rectangle is  mathematically given as

A = Length *Width

Therefore

A= (5x+3)(2x+5) square feet.

inconclusion, Area

f(x)= (5x+3)(2x+5)

f(x)=10x+25+ 6+15

(fx) 10x^2 +31x+15

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Answer:

f(x)=10x^2 + 31x + 15

Step-by-step explanation:

Did it and got it right

the other people put so much things for no reason lol

Answer:

√2

Step-by-step explanation:

Angle ( θ ) = 45

Hypotenuse side = 2

Opposite side = x

Formula : -

sin θ = Opposite side / Hypotenuse side

Note :

The value of sin 45 = 1/√2

sin 45 = x/2

1/√2 = x/2

Cross multiply,

x*√2 = 2*1

x√2 = 2

2 can be simplified as √2 * √2

x√2 = √2*√2

Divide √2 on both sides,

x = √2

The population in the year 2000 is 21

The function is given as:

P(t) = 21e^0.01823t

The year 2000 is 0 years after 2000.

This means that

t = 0

So, we have:

P(0) = 21e^(0.01823 *0)

Evaluate the product

P(0) = 21e^0

Evaluate the expression

P(0) = 21

Hence, the population in the year 2000 is 21

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The expected waiting time is 1.2 minute

According the statement

We know that the kingman formula is

[tex]{ E(W) = \left ( \frac{p}{1-p} \right )\cdot \left ( \frac{ C_{a}^{2}+ C_{s}^{2} }{2} \right ) \cdot \mu_{s} }[/tex]

According to statement the mean value μs is 6 min.

Here the value of P is 6/36 = 1/6

And the value of ca and cs is 1

Substitute the values in formula then

[tex]{ E(W) = \left ( \frac{0.17}{1-0.17} \right )\cdot \left ( \frac{ 1^{2}+ 1^{2} }{2} \right ) \cdot \m6} }[/tex]

[tex]{ E(W) = \left ( \frac{0.17}{0.83} \right )\cdot \left ( 1 ) \cdot \m6} }[/tex]

[tex]{ E(W) = \left ( 0.20} \right )\cdot \left ( 1 ) \cdot \m6} }[/tex]

[tex]{ E(W) = 1.22[/tex]

So, the expected waiting time is 1.2 minute

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According to AAA Chicago, 58 percentage of crashes involving teen drivers are instigated by distracted driving.

What does AAA study tell about the distracted driving of teens?

According to the AAA Foundation for Traffic Safety's review of over 1,700 crash films, distracted driving causes 58 percent of car accidents involving juvenile drivers. According to the foundation, this figure is four times higher than earlier projections derived from police records.

The investigation identified 12 different kinds of distracted driving that contributed to collisions, with passenger interaction accounting for 15% of crashes. Twelve percent of the collisions were caused by using a cellphone, which was followed by reaching for something, looking inside the vehicle, gazing outside while not paying attention to the road, singing or dancing, and looking at something outdoors.

According to the study, young drivers were prey to distracted driving by calls, texts, or other mobile device use for an average of 4.1 seconds in the final six seconds before a catastrophic crash.

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Answer:

the answer is c

Step-by-step explan

UV ⊥ AB and UV ║ ZY is the correct statement about the given figure.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

As we can observe in the graph Line ZY is parallel to the UV and WX is parallel to AB.

Similarly,  WX is perpendicular to ZY and UV(Parallel)

And AB is perpendicular to UV and ZY(Parallel)

Therefore, the correct statement is

UV ⊥ AB and UV ║ ZY

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The length of xy  in the triangle XYZ is 9 units if xyz is dilated to create triangle x prime, y prime and z prime.

Given triangle xyz is dilated to create x prime, y prime and z prime.The length of oz is 2, the length of Zz Prime is 4,the length of x prime y prime is 9 and the length of side y prime z prime is 12.

Dilation is basically technique of creating similar shapes. Each point is streched outwards from the center point by multiplying the scale.

After dilation the side of the shape used to reduce according to factor. It is reduced by number of times of factor.

The line xy is equal to 9 units after dilation by a factor of 3. So the length of xy is 9/3.

=3 units.

Hence the length of side xy is 3 units if xyz is dilated to create x prime, y prime and z prime.

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Answer: 3

Step-by-step explanation: just did it on edge

Answer:

Horizontal line -   y=3

Vertical line -  x=5

Step-by-step explanation:

See both graphs below

When a newspaper poll produces a statistic that is biased, it mean that

(b) Repeated polls would give, results that are very different from each other.

Statistical bias is anything that leads to a systematic difference between the true parameters of a population and the statistics used to estimate those parameters when people say that the newspaper poll is biased, they mean that:

(b) Responding was voluntary, and only these with access and interest would answer.

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Complete question:

When a newspaper poll produces a statistic that is biased, it means that

(a) Repeated polls would give the truth, about the population, in the same direction.

(b) Repeated polls would give results that are very different from each other.

(c) Repeated polls would give results that would not yield a normal distribution.

(d) Repeated polls would give results that are very similar to each other.

Answer:

(C) BE

Step-by-step explanation:

AE = 4

AG = 6

-> AE/AG = 2/3

DF = 2

We need a segment that is 3/2 the length of DF, which is 2.

The only option that works is (C) BE

Answer:

I think you would have to do 2 times 7

Answer:

h = 2.5cm or 5/2 cm

Step-by-step explanation:

Vol = Basearea•h

In your question, the base is the triangle shape. The rectangles go around the sides of the 3-d shape and on top is another triangle that we can't really see. In your image it is kind of laying on its side. So if we stand it up properly, the triangles are on the top and bottom. The triangle is the base.

Volume was given; it is 35. Also given is one side of the rectangles, that is 7.

So we can fill in 35 and 7 into the volume formula and calculate the Basearea.

V = B • h

35 = B • 7

35 = 7B

Divide by 7.

5 = B.

We have calculated the Basearea. This is the area of the triangle shaped bottom. The area formula for a triangle is:

A = 1/2bh

We just found that A=5 and we were given that the base of the triangle is 4.

A = 1/2bh

5 = 1/2•4•h

5 = 2h

Divide by 2.

5/2 = h

This is the height of the triangle, h in the picture. (The h in the volume formula and h in the triangle are different)

This is what the question is asking for, h = 5/2 or in decimals, h = 2.5cm

c = 4 times h

Linear equation: 1.5c + 2h = 360

Hello!

Your answer should be..

c=4h     ( as there are 4 hours )

1.5c+2h=360

c is 1.50 and h is 2.00 so you must add them to reach 360

Hope this helps! :)

Step-by-step explanation:

when given a ratio like this 4:7, it means that one item represents 4 units, and the other 7 units.

let's assume that length is larger than width, so the given 31.5 in are these 7 units.

that means 1 ratio unit is

31.5 / 7 = 4.5 in

the width is 4 units, therefore

width = 4×4.5 = 18 in

the perimeter is

2×length + 2×width = 2×31.5 + 2×18 = 63 + 36 = 99 in

the area is

length × width = 31.5×18 = 567 in²

The value of d is 27/2 when v =30

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

Suppose that d is directly proportional to the square of v.

So the equation is, d ∝ v² equals to d = kv², where k is a constant.

So in order to find the value of k,

d = k v²

d = 6, v = 20,

Substitue the value of d and v into the equation :

6 = k(20)²

k = 6/400

k = 3/200

Substitue the value of k and v =30 into the equation,

d = 3/200(30)²

d = 2700/200

d = 27/2

Hence, the value of d is 27/2 when v =30

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Answer:

$23.75

Step-by-step explanation:

first, we know the tie he bought is $12.50, so we want to subtract that from the total ($60). Now we have 47.50 dollars left and if he wants to buy two shirts, we divide $47.50 by 2, which is $23.75. So if the two shirts are the same price, he can pay $23.75 for each shirt.

Answer:

x^4-9x^2+26x-24

Step-by-step explanation:

Answer:

[tex] {x}^{3} - 9 {x}^{2} + 26x - 24[/tex]

Step-by-step explanation:

[tex](x - 3)( {x}^{2} - 6x + 8)[/tex]

[tex] {x}^{3} - 6 {x}^{2} + 8x - 3 {x}^{2} + 18x - 24[/tex]

[tex] {x}^{3} - 9 {x}^{2} + 26x - 24[/tex]

Answer:

Increasing: [tex](\infty, -1) \cup (2, \infty)[/tex]

Decreasing: [tex](-1, 2)[/tex]

Step-by-step explanation:

So when an equation has and odd degree, it will go in the opposite direction on both ends, so if y went towards infinity as x went towards infinity, then y would go towards negative infinity as x goes towards negative infinity. In this case, by looking at the graph it has an odd degree, due to opposite end behaviors, although on both ends it's increasing because even though it appears that it's going down on the left side, that's only if you start from the right and go towards the left. So it's really increasing from negative infinity to -1, and then it decreases from -1 to 2, until it once again starts increasing from 2 to infinity. This can be represented as (-infinity, -1) U (2, infinity) for increasing and (-1, 2) as decreasing

The maximum earning is v(r,b)

Let v(r,b) be the expected value of the game for the player, assuming optimal play, if the remaining deck has r red cards and b black cards.

Then v(r,b) satisfies the recursion

and

The stopping rule is simple: Stop when v(r,b)=0.

To explain the recursion . . .

If r,b>0, and the player elects to play a card, then:

Thus, if r,b>0, electing to play a card yields the value f(r,b).

But the player always has the option to quit, hence, if r,b>0, we get v(r,b)=max(0,f(r,b)).

Implementing the recursion in Maple, the value of the game is

v(26,26)=41984711742427/15997372030584

v(26,26)  ≈2.624475549

and the optimal stopping strategy is as follows . . .

So, The maximum earning is v(r,b)

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The value of x = 93 degree and value of angle A and B is 72 , 108 degree

The pair of triangles that are supplementary and they add to form 180 degree angle are called Linear Pairs.

It is given that

∠ A = x -21

∠ B = x+15

also it is given that

angle  A and B form a linear pair

∠ A + ∠ B = 180 degree

To find the value of x

x -21 + x+15 = 180

2x - 6 = 180

2x = 186

x = 93 degree

so

∠ A = x -21 = 93 -21 = 72 degree

∠ B = x+15 = 93+21 = 108 degree

Therefore the value of x = 93 degree and value of angle A and B is 72 , 108 degree.

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Using a significance level of 0.05, the null hypothesis would be rejected for p-values less than 0.05.

Depends on if the p-value is less or more than the significance level:

Hence, the null hypothesis would be rejected for p-values less than 0.05.

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Answer:

x > -5

Step-by-step explanation:

[tex] \frac{2}{5} (x - 1) < \frac{3}{5} (x + 1)[/tex]

[tex]2(x - 1) < 3(x + 1)[/tex]

[tex]2x - 2 < 3x + 3[/tex]

[tex] - 5 < x[/tex]

[tex]x > - 5[/tex]

95% of the students have study hours between 10.75 and 13.25 hours and the percentage of the students have study hours that are above 12 is 92%.

Given average of 12 % studying required, population mean of 15 hours, standard deviation of 3 hours.

We have to find the confidence interval for 95% students and the percentage of the students that have studied above 12 hours.

Margin of error=z*σ[tex]\sqrt{n}[/tex]

z value for the p value 0.95 is 1.96.

Margin of error=1.96*3/[tex]\sqrt{22}[/tex]

=5.88/4.69

=1.25

Upper interval=Mean +margin of error

=12+1.25

=13.25

Lower interval=Mean- margin of error

=12-1.25

=10.75

The confidence interval (10.75,13.25).

Now we will calculate the percentage of the students that are above 12.

z value when X=12, z=12-15/15

=-3/15

=-0.2

p value of -0.2 will be =0.5+0.4207=0.9207

=0.9207*100

Percentage=92.07%

Approx=92%.

Hence the confidence interval is (10.75 , 13.25) and 92% students have studied above 12.

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Question is incomplete as it should include  sample size of 22.

Answer:

the answer is 24500

Step-by-step explanation:

7800+7900+8800

=24500

Answer:

y = - 3x + 11

Step-by-step explanation:

the altitude is a line from the vertex A drawn perpendicular to the opposite side BC

calculate the slope of BC using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = B (- 7, 3 ) and (x₂, y₂ ) = C (- 1, 5 )

[tex]m_{BC}[/tex] = [tex]\frac{5-3}{-1-(-7)}[/tex] = [tex]\frac{2}{-1+7}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = - 3x + c ← is the partial equation

to find c substitute A (4, - 1 ) into the partial equation

- 1 = - 12 + c ⇒ c = - 1 + 12 = 11

y = - 3x + 11 ← equation of altitude from A

Answer:

B. 2

w=2

Step-by-step explanation:

hope this helps!

The order from least to greatest is 0.8%, 0.556, 1.2 and 10/8

In order to order the given numbers, we will first have to write them as a percentage as shown.

Given the number below

10/8, 1.2, 0.556, 0.8%

Convert to percentage

10/8 = 125%

1.2 = 120%

0.556 = 55.6%

0.8%

Hence the order from least to greatest is 0.8%, 0.556, 1.2 and 10/8

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