Solve for b in A = a + b
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3


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The given study is an example of longitudinal developmental design.

Longitudinal developmental research design  analyzes progress by observing or measuring a group of people over time. As a consequence, it assesses changes in behavior according  to age over time by examining one group of participants of about the same age.

The same people's behavior is examined over time using longitudinal research designs. For instance, using our example of examining the relationship between intellect and aging, a scientist would carry out a longitudinal study to see whether 20-year-olds lose IQ as they get older.

Hence we get the required answer.

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The true statements regarding the linear function are given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

In this problem, the function crosses the y-axis at the origin, hence the intercept is given as follows:

b = 0.

When x increases by one, y increases by 2, hence the slope is of:

m = 2.

Considering the slope, it means that the ratio of the legs of the right triangle with it's hypotenuse along the line is of 2.

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Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

a. There is a difference in the cholesterol levels between the two groups.

b. The confidence interval for the differences is of (1.7, 10.3), not containing 0 and thus verifying what was found in item a.

At the null hypothesis, it is tested that there is no difference, that is, the mean of the subtraction is of zero, hence:

[tex]H_0: \mu_d = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is, the mean of the subtraction is different of zero, hence:

[tex]H_1: \mu_d \neq 0[/tex]

We have a two-tailed test, as we are testing if the mean is different of value, with 30 + 25 - 2 = 53 df, with a significance level of 0.01, hence the critical value is of:

t = 2.6718

Hence the decision rule, considering the test statistic t, is given as follows:

For each sample, the mean and the standard error are given as follows:

Hence the mean and the standard error for the distribution of differences is given as follows:

The test statistic is obtained as the division of the sample mean by the standard error, hence:

t = 6/1.61

t = 3.73.

t > 2.6718, hence the null hypothesis is rejected, and there is a difference in the cholesterol levels between the two groups.

The confidence interval is obtained as the sample mean plus/minus the multiplication of the standard error and of the critical value.

Hence the lower bound of the confidence interval is of:

6 - 2.6718 x 1.61 = 1.7.

The upper bound is of:

6 + 2.6718 x 1.61 = 10.3.

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15.87 % percent of batteries have lifetimes more than 561 days.

Given:

battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days.

μ = 500

σ = 61

we know that

z = X - μ / σ

z score :

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Given X = 561 days

substitute

z = 561 - 500 / 61

= 61 / 61

z = 1

At z = 1 p value is 0.8413

1 - 0.8413 = 0.1587

= 0.1587 * 100 %

= 15.87 %

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The graph shows a negative correlation, and it is a non-linear model.

What is positive and negative correlation?

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation. When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.

As given data from the graph, y values goes decrease with increasing x values.

So, we can conclude that the graph shows a negative correlation.

And, the given data in the graph are not linear.

Hence, the graph shows a negative correlation, and it is a non-linear model.

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Answer:

The graph shows a negative correlation, and it is a non-linear model.

Step-by-step explanation:

The highest score is 12794706708

What is mean ?

The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

At first (remaining + top player) /888 = 14514514

So remaining + top = 12888888432

Now after removing top

Remaining/777 = 121212

Remaining = 94181724

So top = 12888888432 - 94181724

           = 12794706708

12794706708 is the score of the top player

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Answer: It's 64

Hope this helps!

Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = (x - 3)

y - 8.25 = x - 3

y = x + 5.25

Could you please give me brainliest for this? Thank you!

Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = x - 3    Add 8.25 to both sides of the equation

y = x + 5.25

Answer:

5

Step-by-step explanation:

Let x be that number.

(x^2) - 40 = 3x

x^2 - 40 = 3x

x*2-3x-40=0

(x-5)(x+8)=0

x=5

Answer:

Step-by-step explanation:

rawr u fel me

The function that models the volume of  a rectangular box in terms of width is (lw²)/2.

The basic formula for volume is length×width, whereas the basic formula for area of a rectangular shape is length×width×height.

Given: The base of a rectangular box is square. Half of the base's width is its height.

Let,

length = w (since it has a square base)

width = w

height = w/2

Volume of a rectangular box = length×width×height

                                               V = w×w×(w/2)

                                            V  = (lw²)/2

Therefore, the function that models the volume of  a rectangular box in terms of width is (lw²)/2.

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Answer:

it is linear

Step-by-step explanation:

if you add x on both sides, you can get rid of the -x on the left side, and you are left with a linear equation in slope intercept form

y=7/3x

Answers:

Ratios equivalent to 1/2 are...

Ratios equivalent to 3/9 are...

Ratios equivalent to 5/7 are...

===============================================

Explanation:

Let's see if 2/6 is equivalent to 1/2. For now, let's assume they are equal fractions. If so, then,

2/6 = 1/2

2*2 = 6*1 ... cross multiplying

4 = 6

The last equation is of course false, which then causes a domino effect to make the first equation false as well. This means 2/6 is not equivalent to 1/2.

You can use a calculator to find that

Which is another way to see how the fractions aren't the same.

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

Let's check to see if 2/6 is equivalent to 3/9.

2/6 = 3/9

2*9 = 6*3 ... cross multiplying

18 = 18

We get the same thing on both sides, which means the third equation is true. By extension, the first equation is true as well. We have shown that 2/6 and 3/9 are equivalent.

Take note how both of those fractions reduce to 1/3, which is another way to see how they are equivalent.

Yet another way is to use a calculator to find that

Both approximate decimal values involve '3's going on forever.

Apply any of the methods discussed to check the other values, so you can properly sort each ratio mentioned. Let me know if you have any questions.

Answer:    T= -4

Step-by-step explanation: Well i guess it would be that ? If it's not sorry but it should be that

Answer:  sure I just need to know what you need help with to help you

Step-by-step explanation:

Both Priya's equation and Han's equation are wrong . So , I don't agree with either of them

Slope-intercept form of equation of line is y =mx + b

where m is a slope of line

b is y-intercept

According to the question,

Slope of line is given as 1/2

m = 1/2

Putting the value of m in equation of line

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

It is given that line(1) passes through (1,2)

so, x = 1 and y = 2

Substituing the value of x and y in equation (1)

2 = 1/2 +b

Multiplying by 2 both sides

4 = 1 + 2b

=> 2b = 3

=> b = 3/2

substituting the value of b

Equation of line is y = 1/2 x + 3/2

=> 2y = x + 3

Therefore, Both Priya's equation and Han's equation are wrong

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If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

Given that,

Assume that 60% of all college professors enjoy tennis, 65% enjoy bridge, 50% enjoy chess, and 45% enjoy any certain pair of recreational activities.

We have to find if you are told 20% of people prefer all three forms of recreation, should you be suspicious.

We know that,

Let the total professors be  =100

n(tennis) = 60

n( bridege) = 65

n( chess)= 50

n( T U B) = 45, n(BU C) = 45, n(T UC)=45

n( T UBUC)= n(T) + n(B) + n(C) - n( T U B) - n( BU C) - n(TUC) + n(T∩B∩C)

100 = 60 + 65 + 50 - 45-45-45 +n(T∩B∩C)

n(T∩B∩C)=60

Therefore, If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

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If Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. The amount of money that Kehlani have in her account than Benjamin is: $322.83.

Using this formula to find the compounded amount

A = P(1+r/n)^nt

Where

A = Amount

r =Interest rate.

n =Number of years

P =Principal

Benjamin

P = $20,000

r = 7 5/8% = 7.625% = 0.07625

n = 12 months

t = 10 years

Hence,

A = 20,000 (1+0.07625/12)^12× 10

A = 20,000 (1+0.006354)^120

A = 20,000 (1.006354)^120

A = $42,768.42

Kehlani

P = $20,000

r = 7 3/4% = 7.75= 0.0775

n = 4 months

t = 10 years

Hence,

A = 20,000 (1+0.0775/4)^4× 10

A = 20,000 (1+0.019375)^40

A = 20,000 (1.019375)^40

A = $43,091.25

Difference:

Difference = $43,091.25 - $42,768.42

Difference = $322.83

Therefore the amount of money is $322.83.

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Answer:322

Step-by-step explanation:

The multiplication of the two arrays will be 360.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The given arrays of the numbers are 5x6 and 2x6. The multiplication of the two numbers will be done as,

M = ( 5 x 6 ) x ( 2 x 6 )

Multiply both the numbers and solve,

M = 30 x 12

M = 360

Therefore, the multiplication of the two arrays will be 360.

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Answer:

See below

Step-by-step explanation:

This is a hard to explain without showing you, if it does not make sense it is not you, it is just hard to explain without showing you.

The probability of committing when at least one type I error at a significance level (exactly) 0.01 at m = 11 is equivalent to 0.1047.

Given that:

The hypotheses are based on independent samples with each at a 0.01 level of significance.

We know that:

P (at least one type I error is committed) = 1 - [P (No error -  type I error is committed)]^m

P (at least one type I error is committed) = 1 - [(1 - 0.01)]^11

P (at least one type I error is committed) = 1 - [0.99]^11

P (at least one type I error is committed) = 1 - 0.8953

P (at least one type I error is committed) = 0.1047

So, the probability of committing when at least one type I error is equivalent to 0.1047.

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30(1-cos2) is the evaluated line integral along the given positively oriented curve.

Green's theorem is mostly utilized to evaluate the line integral of a single direction and a curved plane. The link between a line integral and a surface integral is demonstrated by this theorem. It is connected to several theorems, including the Gauss theorem and the Stokes theorem.

To integrate the derivatives in a certain plane, one uses Green's theorem. This thesis can be employed to transform a given line integral into a surface integral, double integral, or conversely.

One of the four calculus foundational theorems, all 4 of whom are intimately connected to one another, is the Green's theorem.

How to solve?

By Green's theorem, we have

∫c (cist dx + x² siny dy ) = ∫∫r [μ(x²siny)/μx - μcosy/μy dxdy

where C is the *boundary* of the rectangle .

The integral is then

=(cos0 -cos2)∫(5,5)(2x +1)dx

=(1-cos2)(5²+5)

=30(1-cos2)

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Answer:

b = 4

Step-by-step explanation:

Step 1: Divide 45 by 36 on the right side

    1. 5/b = 1.25

Step 2: Multiply both sides by b and flip the equation

    2. 1.25b = 5

Step 3: Divide both sides by 1.25

    3. b = 4

[tex]\fbox{b=4}[/tex]

Cross multiply:

[tex]\dfrac{5}{b} =\dfrac{45}{36}[/tex]

[tex](5)\times(36)=45\times(b)[/tex]

[tex]180=45b[/tex]

Flip the equation:

[tex]45b=180[/tex]

Divide both sides by 45:

[tex]\dfrac{45b}{45} =\dfrac{180}{45}[/tex]

[tex]b=4[/tex]

The null hypothesis must be rejected as there is enough evidence that the diameter differs from 0.5 inches.

Given values are

The population mean is  0.5 inches

The Null hypothesis is  : H₀ : μ = 0.5 inches

The Alternative hypothesis is  given by Hₐ : μ ≠ 0.5 inches

Now let us consider the parameter given:

sample size is  n =  15  

test statistics is  t =  1.66

The level of significance : α = 0.05

The degree of freedom: df = n-1 = 15 -1 =14

Calculating the critical value : [tex]t_\frac{\alpha}{2} ,df[/tex] = 2.145

We are using the critical value of [tex]t_\frac{\alpha}{2}[/tex] as the test is one-tailed .

Comparing the value of  t and [tex]t_\frac{\alpha}{2}[/tex] we can see that : [tex]t < t_\frac{\alpha}{2}[/tex]

Hence the null hypothesis can be rejected.

Given that the value of t does not fall within the range covered by (i.e., the range from -2.145 to the bottom of the normal distribution curve), we are unable to reject the null hypothesis.

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The value of b/a of the number plates is 0.0

Decimals with the same number of decimal places are referred to as like decimals (after the decimal point). For instance, because both 2.33 and 4.52 include up to two decimal places, they are similar to decimals. Likely decimals are those that do not have the same number of decimal places (after the decimal point).

Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals.

According to the above question

26 x 10000 = 260,000

If letter and digit repeats are allowed, the number of license plates that can be created under the new system is (26)3 * 1000 = 17,576, 000.

In other words, 260,000 / 17,576,000 = 0.0148, which, when rounded to the nearest tenth, equals 0!

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To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Scott has a tree in his lawn. The tree grows 25 centimeters every year. Since the tree began developing, Scott has managed 16 centimeters off its level. The objective for the tree's level is given by 25x - 16 ≥ 234, where x is the quantity of years the tree develops.

Simplify the inequality, then we have

25x - 16 ≥ 234

25x ≥ 234 + 16

25x ≥ 250

x ≥ 10

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

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The number of red playing chips that were given to him is 30.

Let the red chips be illustrated as r.

Let the blue chips be illustrated as b

The appropriate equation to solve the question will be:

r + b = 50.......... i

10r + 5b = 400 ......... ii

From equation i, r = 50 - b.

Put the value of r into equation ii

10r + 5b = 400

10(50 - b) + 5b = 400

500 - 10b + 5b = 400

500 - 5b = 400

Collect like terms

5b = 500 - 400

5b = 100

Divide

b = 100/5

b = 20

Therefore, red chips will be:

r = 50 - b

r = 50 - 20

r = 30

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