A recent survey reported that 73% of Americans approve of human embryonic stem cell research. If an American is selected at random, find the probability that he or she will disapprove or have no opinion on the issue. The probability that he or she will disapprove or have no opinion on the issue is __% .

The angle of inclination of the hill is 1.369 degrees .

Given :

a bulldozer exerts 1000 pounds of force to prevent a 5000 lb lboulder from rolling down a hil determine the angle of inclination of the hill .

Angle of inclination :

Inclination of a line is the angle between the line and the positive direction of x − axis. Value of this angle is between 0 and 180 degrees . It is measured in anti - clockwise direction from the positive direction of x − axis .

Angle of inclination cos x = 1000 / 5000

cos x = 100 / 500

= 10 / 50

= 1 / 5

x = cos^-1 ( 1/5 )

x = 1.369 degrees .

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Answer:

when multiplying fractions with whole numbers put the whole number over 1.

Step-by-step explanation:

For this example 3 1/5 x 11/1, times 5 by 3 and add 1 to make it a whole fraction. find the common denominator. then times it you'll get 176/5 or in decimal form 35.2.

Answer:

\(0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286\)

\(0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562\)

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

\( X= 36\) represent the families owned at least one DVD player

\( n= 85\) represent the total number of families

\(\hat p=\frac{36}{85}= 0.424\) represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \(\alpha=1-0.99=0.01\) and \(\alpha/2 =0.05\). And the critical value would be given by:

\(z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58\)

The confidence interval for the mean is given by the following formula:  

\(\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)

If we replace the values obtained we got:

\(0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286\)

\(0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562\)

The 99% confidence interval would be given by (0.286;0.562)

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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Answer: 12x^3−25x^2+9

^ are the exponents

Step-by-step explanation:

i think the answer is 3x^2-x

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

A

Step-by-step explanation:

Because 105%*105%=1.1205

and the only number divisible by that is A

The required theorem will be: If opposite two angles of a quadrilateral are equal then the quadrilateral is a parallelogram.

Quadrilateral whose each opposite sides are equal and parallel to each other is called Parallelogram.

According to theorem, if one quadrilateral consists equal opposite angles then the quadrilateral is a parallelogram.

In the given figure opposite angles of this quadrilateral given are 115, so they both equal to each other.

Hence by the above theorem, we can say that the quadrilateral is a parallelogram.

Thus, the given quadrilateral is a prallelogram.

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3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

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Answer:

Step-by-step explanation:

Answer:

an example of an equation?

if you want one step you can try

10k=35

if you want two step

10k-17=18

Step-by-step explanation:

Answer:

It was 40 degrees warmer in Lancaster than Yardley.

Step-by-step explanation:

Answer:

19-(-21)=40°

Step-by-step explanation:

Warmer temperature has to carry a positive sign

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Step-by-step explanation:

her it Go i think it is helpful for u

Answer:

2/3

Step-by-step explanation:

66.66 percent is closest to the fraction 2/3.

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

Answer:

The coefficient is 1

Collect like terms

Calculate the sum

Answer:

when you + you never add p + p= p2 thats not correct, you Just leave it.

Step-by-step explanation:

A) a + 2a+ 3a= 6a

B) 2p2 + 3p2+ p2 + 4p2= 10 p2

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

Ok

Explanation:

Thank you for sharing :)

Answer:

good job

Step-by-step explanation:

Answer:

i think the answer is 5

Step-by-step explanation:

if it greater than or equal to its 1 or higher but, its not 10 because it has to be less than 10 5 falls right in the middle of greater that or equal to 1 but less than 10

Answer:

x² - 6x + 8 = 0

or, x² - (4+2)x + 8 = 0

or, x² - 4x - 2x + 8 = 0

or, x(x-4) -2(x -4)= 0

or , (x-4) (x-2) = 0

either,

x - 2 = 0

x = 2

OR,

x - 4 = 0

x = 4

next ,

x-p = 9

or, 2-p = 9

p= -7

either,

x-p = 9

or, 4 - p = 9

or, p= -5

hope this will help you

Answer:

there are 6 outcomes

Step-by-step explanation:

there are only 6 spots, therefore it has to be 6

Answer:

1. the red balloon

2.they both ascended at the same rate

Step-by-step explanation:

Answer:

1.red

acended

Step-by

Answer:

X = <6

Step-by-step explanation:

(2x - 4) < 8

2x - 4 + 4 < 8 + 4

2x < 12

2x/2 < 12/2

x < 6

Hope this helps! :)

The positions will be filled in 56,280 ways

There are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows

For the position of president

11 combination 1 = 11

For the position of secretary

10 combination 1 = 10

For the position of treasurer

10 combination 1 = 10

For the position of three directors

8 combination 3 = 56 ways

the total number of ways to fill these positions is

11 x 10 x 9 x 56 = 56,280.

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