Use the properties of equality to finish solving the equation. 3 4 (20y − 8) + 5 = 1 2 y + 1 4 (20y + 8) 1. Distribute the 3 4 and 1 4 : 2. Combine like terms: 15y − 6 + 5 = 1 2 y + 5y + 2 15y − 1 = 11 2 y + 2 What is the solution?

Answer:

Para responder esta pregunta, necesitamos utilizar el gráfico que se ve en la imagen de abajo.

En dicho gráfico, se presenta el porcentaje que gana, en promedio, una mujer comparado con lo que ganaría un hombre en el mismo puesto.

a)  Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional?

Viendo el gráfico, podemos ver que en Suiza una mujer gana el 68% de lo que gana un hombre.

Entonces, si un hombre gana una cantidad X, tendremos:

X = 100%

y la mujer gana 1300 francos, que es el 68%, entonces podemos escribir:

X = 100%

1300 francos = 68%

Ahora podemos tomar el cociente entre esas dos ecuaciones, para así obtener:

X/(1300 francos) = (100%/68%)

Ahora podemos resolver esto para X:

X = (100%/68%)*(1300 francos) = 1911.76 francos.

Un hombre en la misma posición ganaría 1911.76 francos.

b) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?

Viendo el gráfico, podemos ver que una mujer en España gana el 67% de lo que ganaría un hombre en la misma posición.

El sueldo del hombre es 1102 euros, y en este caso, esto es el 100%, entonces:

1102 euros = 100%

Y sea X el sueldo de la mujer, el cual sabemos que representa el 67%, entonces escribimos:

X = 67%

Así, tenemos dos ecuaciones:

X = 67%

1102 euros = 100%

Tomando el cociente, obtenemos:

X/(1102 euros) = (67%/100%)

Resolviendo para X obtenemos:

X =  (67%/100%)*(1102 euros) = 738.34 euros

Una mujer en la misma posición ganaría 738.34 euros.

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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Reason:

The 24 needs to be changed to a 10 for it to be in scientific notation.

The template for scientific notation is \(a * 10^b\) where \(0 \le |a| < 10\)

So for example, \(1.23 \times 10^4\) is in scientific notation.

Answer:

y=x-2+√3

Step-by-step explanation:

I'm not sure keep it up

Answer:

Step-by-step explanation:

Let us first make the denominators equal, so

600 x 700 = 420000

\(\frac{480}{600} * \frac{700}{700} \\\\= \frac{336000}{420000}\)

Similarly,

\(\frac{560}{700} * \frac{600}{600} = \frac{336000}{420000}\)

By comparison, both of them are equal.

Hope It Helps!

The width of the border is 1/2 feet

From the information given, we have that;

Cherry wood of area to border and surrounded glass of area 9 square feet.

The combined area will be area of glass + area of the border made from cherry wood

The total area of coffee table would be ;

= 9 + 7 = 16 square feet.

Since the center glass piece is a square thus the surrounding border of cherry wood also would be of square shape.

So each side of the square is √16 = 4 feet

Outside of cherry border has 4 feet length and width while the inside of cherry border, which is same as the length and width of glass is 3 feet.

The difference is 4 -3 = 1 feet

Since border is on both sides therefore the width of the border= 1/2 feet

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Answer:

6.984 x 10^10

Step-by-step explanation:

(7.2 x 10^3) x (9.7 x 10^6)

7.2 x 9.7 = 69.84

3+6=9

69.84 x 10^9

The first number has to be between 1 and 10 and it can't be a 0. So you move it to the left and add 1 to the exponent.

6.984 x 10^10

Answer:

I think it's 11/6 I think so

Answer:

A

Step-by-step explanation:

Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

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The probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 11/12

To calculate the probability of rolling two fair six-sided dice and getting a sum of 4 or higher, we first need to calculate the total number of possible outcomes.

The number of possible outcomes when rolling two dice is 6 × 6 = 36, since each die has 6 possible outcomes.

Now, let's find the number of outcomes that result in a sum of 4 or higher. We can do this by listing all the possible outcomes:

Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes

Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes

Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes

Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes

Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes

Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes

Sum of 10: (4, 6), (5, 5), (6, 4) = 3 outcomes

Sum of 11: (5, 6), (6, 5) = 2 outcomes

Sum of 12: (6, 6) = 1 outcome

Therefore, the number of outcomes that result in a sum of 4 or higher is 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.

Therefore, the probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 33/36 = 11/12.

To find the probability of getting a sum of 44 or higher, we need to subtract the probability of getting a sum of 43 or lower from 1:

Sum of 2: (1, 1) = 1 outcome

Sum of 3: (1, 2), (2, 1) = 2 outcomes

Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes

Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes

Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes

Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes

Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes

Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes

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Answer:

I can' see this. Can you show it closer? Please!

Step-by-step explanation:

Answer:

ok maybe itll work with this???

Step-by-step explanation:

file:///C:/Users/apple/Downloads/13f2bddc55b71689635395017a167da1%20(1).pdf

I hope it workksss

We have the following probabilites:

Following the definition of conditional probability:

In this case, we want to calculate the conditional probability that a person has a daughter given that he/she already has a son. Then, the probability is:

therefore, the conditional probability that a person who has a son also has a daughter is 34%

The fraction of the cake that was ron's pieces is 1/5.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Since Mrs Jones gave 1/5 of a cake to her neighbour, the remaining fraction will be:

= 1 - 1/5

= 4/5

The fraction of the cake that was ron's pieces will be:

= 2/(1+3+4) × 4/5

= 2/8 × 4/5

= 8/40

= 1/5

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Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

Answer:

128 ft^2

Step-by-step explanation:

each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128

Answer:

Here

a+34=90

=90-34

=56

Ans is 56 degree

1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.

2. AABBCcDD:  This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is  = 1/128.

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

3. The probability of this happening is 1/32.

AaBbCcDd : The probability of this happening is  1/256.

4. aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is  1/128.

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is  1/32.

To solve this problem, we need to use the principles of probability and Punnett squares.

For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.

Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:

A  |  A  |  a  |  a  

---|-----|-----|----

B  |  B  |  b  |  b  

---|-----|-----|----

C  |  C  |  c  |  c  

---|-----|-----|----

D  |  D  |  d  |  d  

Each box in the Punnett square represents a possible combination of alleles from the two parents.

For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.

We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.

AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.

The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.

AABBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)

AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).

The probability of this happening is \((1/2)^8 = 1/256.\)

aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)

Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.

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The residual plot can provide valuable insights into the adequacy of the regression model, and whether any modifications or alternative models may be needed to better explain the data.

A residual plot is a visual tool for evaluating a regression model's goodness-of-fit. The residuals—that is, the discrepancies between the observed and expected values—are plotted against the predicted values.

The residuals should be randomly dispersed around zero and the plot should show no clear patterns or trends if the regression equation accurately models the data.

The residuals may show patterns or trends in the plot if the regression equation is a poor model of the data, which would indicate that the model is failing to account for some crucial characteristics of the data.

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Answer:

5x>60

x>60/5

x>12

number line

hope it helps.

To find the volume of the inscribed cube, we need to determine the edge length of the cube first. Let's denote the edge length of the inscribed cube as "x".

In a cube inscribed in a sphere, the diameter of the sphere is equal to the diagonal of the cube. Therefore, the diameter of the sphere is equal to the space diagonal of the large cube, which is given as 9 inches.

The space diagonal of a cube with edge length "a" can be found using the Pythagorean theorem:

Diagonal² = a² + a² + a²

Diagonal² = 3a²

Since the diameter of the sphere is 9 inches, we can write:

3a² = 9²

3a² = 81

a² = 81 / 3

a² = 27

a = √27

a = 3√3

Now we know the edge length of the large cube, which is 3√3 inches. The volume of a cube is given by V = a³, where "a" is the edge length.

Volume of the inscribed cube:

V = (3√3)³

V = 3³ * (√3)³

V = 27 * 3

V = 81 cubic inches

Therefore, the volume of the inscribed cube is 81 cubic inches.

The volume of the cube inscribed in the sphere, given the sphere is inscribed in a cube with an edge length of 9 inches, is 81 cubic inches.

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The next letters in the pattern are 6 and -7.The given pattern alternates between positive and negative numbers. By observing the pattern, we can determine the next numbers in the sequence.

The first number, 2, is positive. The second number is obtained by taking the negative of the previous number and subtracting 1. Therefore, -2 - 1 = -3.The third number is positive and is obtained by taking the absolute value of the previous number and adding 1. Therefore, |-3| + 1 = 4.

The fourth number is negative and is obtained by taking the negative of the previous number and subtracting 1. Therefore, -4 - 1 = -5.

Following this pattern, the next number will be positive and obtained by taking the absolute value of the previous number and adding 1. Therefore, |-5| + 1 = 6.

The next number after 6 will be negative and obtained by taking the negative of the previous number and subtracting 1. Therefore, -6 - 1 = -7.

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Answer:

The Answer is 2 blue marbles.

Step-by-step explanation:

The numbers of blue marbles in the bag will be 2.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

a bag contains = 10 red marbles

the ratio of red marbles to blue marbles is = 5:1

That is :

5 ratio of marbles is equals to = 10 marbles

now,

1 ratio of marbles is equals to = 2 marbles

Therefore, the numbers of blue marbles in the bag will be 2.

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Answer:

Animism

Step-by-step explanation:

Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.

Answer: m=3

2m-3= -m+6

3m=9

m =3

Hope this helps!

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

Answer:

A  gallons and a half a minute

Step-by-step explanation:

9 minutes it fills up a gallons and a half

Answer:

135%

Step-by-step explanation:

To find the percentage of last Sunday's offering compared to the offering from a year ago, we can use the following formula:

percentage = (last Sunday's offering / offering from a year ago) x 100%

Plugging in the given values, we get:

percentage = (6,500 / 4,800) x 100%

percentage = 1.35416666667 x 100%

percentage = 135.42%

Rounding to the nearest percent, we get:

percentage = 135%

Therefore, last Sunday's offering was 135% of the offering from a year ago.

Answer:62.5%

I think this is the answer it might not be, if not i am so sorry.

Answer:

3 I think.

Step-by-step explanation:

5 would be broken up to 2 groups of 2 and 1 group of 1.

In 20 different ways 5 dessert courses can be arranged taken 2 at a time.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, There are 5 dessert courses in a restaurant and they will be presented two at a time in an order.

Here we have to use permutation as order matters.

Now, the permutation of 5 different things taken 2 at a time is,

= \(^5P_2\).

= 5!/(5 - 2)!.

= 5!/3!.

= 5 × 4.

= 20 different ways.

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