write 718000 in standard form

Answer:

15

Step-by-step explanation:

10, 20.15, 15, 10, 14, 15, 15, 13, 25, 24

Organize the data from least to greatest

10, 10, 13, 14, 15, 15, 15, 20.15, 24, 25

Cross out data from each side until one point is left. So cross out one from one side, then another from the other side, continue this process until only one number is left. If two numbers are left, then take the average of the two numbers.

10, 10 , 13, 14, 15, 15, 20.15, 24, 25

10, 13, 14, 15, 15, 20.15, 24

13, 14, 15, 15, 20.15

14, 15, 15,

15

The value of p is 781.25.

What is a population growth?

Population Growth is defined as the increase in the number of individuals in a population is called population growth.

What is a common growth factor?

The growth factor is the ratio between the old price and the new price, once sales tax is included.

We want to know the population when y = 0, or when the number of years is zero.

Substitute the same in the equation

p = (400).\((\frac{5}{4} )^{y}\)

When y = 1 or at the 1st year, the population will be p = (400)(\(\frac{5}{4}\) ) = 500

This means that the population is increasing by a common growth factor of \((\frac{5}{4})\) .

When y = 3, or at year 3 we get the population as p = 400  \((\frac{5}{4} )^{3}\)

                                                                                      = 781.25

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Answer:

the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

Step-by-step explanation:

With the statement we can make a system of 2x2 equations, where:

"x" is the area of the first field

"y" is the area of the second field

However,

x + y = 56 => x = 56 - y

3/4 * x + 2/3 * y = 40

replacing we have:

3/4 * (56 - y) + 2/3 * y = 40

42 - 3/4 * y + 2/3 * y = 40

-0.0833 * y = 40 - 42

y = -2 / -0.0833

y = 24

now for x:

 x = 56 - 24

x = 32

This means that the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

Answer:

x not equal to 7

Step-by-step explanation:

(f ° g)(x)

= f (g(x))

So you are scrunching up the entire g(x) function and stuffing it into the x in the f(x).

This gives you

4/|x-7| see image.

x cannot be 7, bc if x is 7 the denominator would be 0 and that's never allowed. So the domain must be restricted and x not equal to 7.

Answer:

Step-by-step explanation:

a) To determine the endogenous variables, we need to identify the variables that are determined within the model equation. In the given model, the endogenous variable is Y (output or national income).

b) Let's find Y, C, and T step-by-step:

Start with the equation Y = C + I0 + g0.

Substitute C from the equation C = a + b(y - T).

Y = (a + b(y - T)) + I0 + g0.

Substitute T from the equation T = d + tY.

Y = (a + b(y - (d + tY))) + I0 + g0.

Expand the equation:

Y = a + by - bd - btY + I0 + g0.

Rearrange the equation to isolate Y:

Y + btY = a + by - bd + I0 + g0.

Y(1 + bt) = a + by - bd + I0 + g0.

Y = (a + by - bd + I0 + g0) / (1 + bt).

Now, Y is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y itself, along with the parameter t.

To find C and T, we can substitute the obtained Y value back into the respective equations:

Substitute Y into the equation C = a + b(y - T):

C = a + b(y - T) = a + b(y - (d + tY)) = a + by - bd - btY.

C = a + by - bd - bt[(a + by - bd + I0 + g0) / (1 + bt)].

Now, C is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y, along with the parameter t.

Substitute Y into the equation T = d + tY:

T = d + tY = d + t[(a + by - bd + I0 + g0) / (1 + bt)].

Now, T is expressed in terms of the exogenous variables d, t, and the endogenous variable Y, along with the parameters a, b, I0, and g0.

It's important to note that in the given model, there is only one endogenous variable, Y (national income/output). C and T are determined based on the values of Y and the exogenous variables.

Answer:

Figure B

Step-by-step explanation:

Figure B has three triangles, and 2 triangles make 1 square. So there are 1 1/2 squares :)

Sorry if I am incorrect.

Answer:

d/dx ( 32x - 5)

Step-by-step explanation:

i think this is right please tell me if its not

Answer: 60.2 inches

The perimeter of the triangle is 80.24 inches.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

Altitude = 24 inches

Base = 11 inches

Half of the base = 11/2 = 5.5 inches

Using Pythagoras theorem:

Hypotenuse = √(24² + 5.5²)

Hypotenuse = √(576+ 30.25)

                     = √606.25

                     =  34.62 inches

Now, perimeter of a triangle

= (base + side 1 + side 2)

= (11 + 34.62+ 34.62)

= 80.24 inches

Hence, the perimeter of the triangle is 80.24 inches.

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Answer:

0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.

This means that \(\mu = 85, \sigma = 14.6\)

Sample of 9 male bulldogs:

By the Central Limit Theorem:

\(n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667\)

Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.

This means that \(\mu = 69, \sigma = 8.8\)

Sample of 8 female bulldogs:

By the Central Limit Theorem:

\(n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113\)

Subtraction of Male by Female:

\(\mu_S = \mu_M - \mu_F = 85 - 69 = 16\)

\(s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762\)

What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?

This is 1 subtracted by the pvalue of Z when X = 15. So

\(Z = \frac{X - \mu}{\sigma}\)

With our distribution(subtraction)

\(Z = \frac{X - \mu_S}{s_S}\)

\(Z = \frac{15-16}{5.7762}\)

\(Z = -0.17\)

\(Z = -0.17\) has a pvalue of 0.4325

1 - 0.4325 = 0.5675

0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.

Transversion is known as point mutation in DNA.

Transversion is a term used in molecular biology. It refers to a point mutation in DNA in which a single (two ring) purine (A or G) is changed for a (one ring) pyrimidine (T or C), or vice versa. A transversion can be spontaneous, or it can be caused by ionizing radiation or alkylating agents. It can only be reversed by a spontaneous reversion.

So, here 5'AGCCTAC3' we can replace (A or G) with (T or C)

So, the answer should be :

5'ATCCTAC3'

Here we have replaced G with T and other things are same

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The full question will be like this

Assume that a wild-type sequence is 5'AGCCTAC3'. Indicate the sequence that might be produced by a transversion. Which of the following sequences might be produced by a transversion?

A) 5'AGTCTAC3'

B) 5'AGCCGCCGCCGCCTAC3'

C) 5'AGCCCAC3'

D) 5'ATCCTAC3'

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Answer:

what is the length we are talking about i need a little more info

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

Answer:

y = 3x +1 (1)

2y = 6x +2  (2)

We can devide equation (2) by 2 and we got:

\( y =3x +1\)   (3)

And since equations (1) and (3) are equal we can do this:

\( 3x +1 = 3x+1\)

And that implies:

\( 0=0\)

And for this case we will have infinite solutions for the sytem given since we have two lines equal

Step-by-step explanation:

For this case we have the following system of equations given:

y = 3x +1 (1)

2y = 6x +2  (2)

We can devide equation (2) by 2 and we got:

\( y =3x +1\)   (3)

And since equations (1) and (3) are equal we can do this:

\( 3x +1 = 3x+1\)

And that implies:

\( 0=0\)

And for this case we will have infinite solutions for the sytem given since we have two lines equal

Answer:

the vertical line test proves that it is not a function because there are two y values for 1 x value

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

.

Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

plz give me brainliest i need it plz

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

\(t_{n-1,\alpha/2}=3.59114678\)

Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target

Step-by-step explanation:

From the question we are told that:

Sample size \(n=36\)

Mean diameter \(\=x=1.4\)

Standard deviation \(\sigma=0.5cm\)

Null hypothesis \(H_0 \mu=1.5\)

Alternative hypothesis \(\mu \neq 1.5\)

Significance level \(1\%=0.001\)

Generally the equation for test statistics is mathematically given by

\(t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }\)

\(t=\frac{1.4-1.5}{\frac{0.5}{\sqrt{36} } }\)

\(t=-1.2\)

Therefore since this is a two tailed test

\(t_{n-1,\alpha/2}\)

 Where

   \(n-1=36-1=>35\)

   \(\alpha=/2=0.001/2=>0.0005\)

From table

\(t_{n-1,\alpha/2}=3.59114678\)

Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target

Answer:

its ok I will give you a hand here

Let's solve your equation step-by-step.

(x+2)(x+2)=3x

Step 1: Simplify both sides of the equation.

x2+4x+4=3x

Step 2: Subtract 3x from both sides.

x2+4x+4−3x=3x−3x

x2+x+4=0

For this equation: a=1, b=1, c=4

1x2+1x+4=0

Step 3: Use quadratic formula with a=1, b=1, c=4.

x=

−b±√b2−4ac

2a

x=

−(1)±√(1)2−4(1)(4)

2(1)

x=

−1±√−15

2

Step-by-step explanation:

hope I help and just use (math pa pa) it will help you study for a test or something have a grate day

Answer:

1

Distribute

(

+

2

)

(

+

2

)

=

3

{\color{#c92786}{(x+2)(x+2)}}=3x

(

+

2

)

+

2

(

+

2

)

=

3

{\color{#c92786}{x(x+2)+2(x+2)}}=3x

2

Distribute

(

+

2

)

+

2

(

+

2

)

=

3

{\color{#c92786}{x(x+2)}}+2(x+2)=3x

2

+

2

+

2

(

+

2

)

=

3

{\color{#c92786}{x^{2}+2x}}+2(x+2)=3x

3

Distribute

2

+

2

+

2

(

+

2

)

=

3

x^{2}+2x+{\color{#c92786}{2(x+2)}}=3x

2

+

2

+

2

+

4

=

3

x^{2}+2x+{\color{#c92786}{2x+4}}=3x

4

Combine like terms

2

+

2

+

2

+

4

=

3

x^{2}+{\color{#c92786}{2x}}+{\color{#c92786}{2x}}+4=3x

2

+

4

+

4

=

3

x^{2}+{\color{#c92786}{4x}}+4=3x

5

Move terms to the left side

2

+

4

+

4

=

3

x^{2}+4x+4=3x

2

+

4

+

4

−

3

=

0

x^{2}+4x+4-3x=0

6

Combine like terms

2

+

4

+

4

−

3

=

0

x^{2}+{\color{#c92786}{4x}}+4{\color{#c92786}{-3x}}=0

2

+

1

+

4

=

0

x^{2}+{\color{#c92786}{1x}}+4=0

7

Multiply by 1

2

+

1

+

4

=

0

x^{2}+1x+4=0

2

+

+

4

=

0

x^{2}+x+4=0

8

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

+

+

4

=

0

x^{2}+x+4=0

=

1

a={\color{#c92786}{1}}

=

1

b={\color{#e8710a}{1}}

=

4

c={\color{#129eaf}{4}}

=

−

1

±

1

2

−

4

⋅

1

⋅

4

√

2

⋅

1

x=\frac{-{\color{#e8710a}{1}} \pm \sqrt{{\color{#e8710a}{1}}^{2}-4 \cdot {\color{#c92786}{1}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{1}}}

9

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Multiply the numbers

=

−

1

±

−

1

5

√

2

x=\frac{-1 \pm \sqrt{-15}}{2}

10

No real solutions because the discriminant is negative

The square root of a negative number is not a real number

=

−

1

5

Step-by-step explanation:

Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)

Simplifying this equation, we get:

\(1 = 1.03^n \times 0.2^n\)

Taking the logarithm of both sides of the equation, we get,

\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

False , when there is no relationship between the independent variable and the dependent variable, the slope of the regression line.

What is an example of an independent variable?

It is an independent variable that doesn't alter as a result of the other variables you're attempting to assess.

                         Age, for instance, could be an independent variable. Other aspects of a person's life, like as what they eat, how much they attend school, or how much television they watch, won't alter their age.

What distinguishes a variable from a dependent one?

The cause is the independent variable. The other factors in your study have no bearing on its value.

                         Effect is the dependent variable. Changes in the independent variable have an impact on its value.

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Answer:

(x-8)(x+8)

Step-by-step explanation:

a2-b2={a+b)(a-b) a=8 and b=8

(x+8)(x-8)

The solution is : the percentage of cars that are driving less than 45 mi/hr is 2.3%

Here, we have,

Since the speeds of cars are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = speeds of cars

µ = mean speed

σ = standard deviation

From the information given,

µ = 55 mi/hr

σ = 5 mi/hr

The probability that a car is driving less than 45 mi/hr is expressed as

P(x < 45)

For x = 45

z = (45 - 55)/5 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

Therefore, the percentage of cars that are driving less than 45 mi/hr is

0.023 × 100 = 2.3%

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Answer:

D

Step-by-step explanation:

y-7 = -1/2 (x-(-2)

y-7 = -1/2 (x+2)

y -7 = -1/2 x - 1

y = -1/2 x -1 +7

y = -1/2 x + 6

Answer:

x ≥ -7

Step-by-step explanation:

greater than or equal to ≥

x ≥ -7