I have a picture that is 30 inches wide and 20 inches tall. I would like the
picture to be a smaller scaled copy, and it needs to be 10 inches tall. How
wide should the new picture be?*

i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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As per the combination method, there are 84 number of ways in which 9 different computer games can be shared out between Wainah, Jingyi and Hebe so that each person receives an odd number of computer games.

Combination method

The way of selecting items from a collection where the order of selection does not matter is known as combination.

Given,

Here we need to find the number of ways in which 9 different computer games can be shared out between Wainah, Jingyi and Hebe so that each person receives an odd number of computer games.

Here we know following things,

Number of games in the system = 9

number of person should be shared = 3

So, according to the combination formula,

nCk = n!/k!(n-k)!  when n>k

The value of n is 9 and the value of k is 3

Now, we have to apply the values on the nCk formula, then we get,

9C3 = 9!/3!(9-3)!

When we simplify this one then we get,

=> 9C3 = 9! / 3! 6!

=> 9C3 = 84

Therefore, there are 84 possible ways are presented in this situation.

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Answer:

As P(M) = 0.45

P(F) = 1-0.45 = 0.55

P(Both students are male) = 0.45 x 0.45 = 0.2025 = 0.203 (cor to 3 dp)

P(Both students are female) = (1-0.45) x (1-0.45) = 0.55 x 0.55 = 0.3025 = 0.303 (cor to 3 dp)

P(First student male and second female) = 0.45 x 0.55 = 0.2475 = 0.248 (cor to 3 dp)

hope this helps!!!

Answer:

(2x3)^2+5^2

2x3=6

(6)^2+5^2

6x6=36

5x5=25

36+25=61

Step-by-step explanation:

Please mark me brainliest

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154°  ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = 26°

i don't know specifically what you are looking for but:

Direction: Opens Up

Vertex: (1, -1)

Axis of Symmetry: x = 1

and i attached the graph

Answer:  x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

Step-by-step explanation:

Solve for x:

F x = 2 x^2 - 4 x + 1

Subtract 2 x^2 - 4 x + 1 from both sides:

-2 x^2 + F x + 4 x - 1 = 0

Collect in terms of x:

-1 + x (F + 4) - 2 x^2 = 0

Divide both sides by -2:

1/2 + 1/2 x (-F - 4) + x^2 = 0

Subtract 1/2 from both sides:

1/2 x (-F - 4) + x^2 = -1/2

Add 1/16 (-F - 4)^2 to both sides:

1/16 (-F - 4)^2 + 1/2 x (-F - 4) + x^2 = 1/16 (-F - 4)^2 - 1/2

Write the left hand side as a square:

(1/4 (-F - 4) + x)^2 = 1/16 (-F - 4)^2 - 1/2

Take the square root of both sides:

1/4 (-F - 4) + x = √(1/16 (-F - 4)^2 - 1/2) or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way as before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equations:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

6

Step-by-step explanation:

The area of a parallelogram is

A = bh

A = 5*h

30 = 5h

Divide each side by 5

30/5 =5h/5

6 =h

The formula for the area of a parallelogram is A = bh.

Since we know the parallelogram has an area of 30 units and a height of 5 units, we can plug this information into the formula to get 30 = 5h.

Now, dividing both sides of the equation by 5, we find that 6 = h.

So the height of this parallelogram is 6 units.

Answer:

Step-by-step explanation:

4x12-5x6-14=0, the highest power of the variable in this equation is 12 so to make it a quadratic equation we should replace x12 by y2. Hence to rewrite the given equation as quadratic just substitute x6=y.

Answer:

72 > w

Step-by-step explanation:

72 > w is an inequality, not an equation

I think 72 > w

not for shure thou

a. The approximate value of the y-intercept is

b. The approximate value of the slope is

c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.

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:

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

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (100 - 60)/(45 - 5)

Slope (m) = 40/40

Slope (m) = 1

At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 1(x - 5)  

y = x - 5 + 65

y = x + 60

Part a.

Based on the equation above, the y-intercept is equal to 60.

Part b.

Based on the equation above, the slope is equal to 1.

Part c.

In this scenario, the expected number of cones of ice cream when the temperature is 30°C;

y = x + 60

y = 30 + 60

y = 90°C.

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Answer:

The variable that is being predicted is the dependent variable.

Step-by-step explanation:

The regression analysis is used to determine the effect on the response or dependent variable with every one unit change in the predictor or independent variable.

In case of simple linear regression there is only one independent variable and in cases of multiple linear regression there are more than one independent variables.

The general form of simple linear regression is:

\(y=\alpha +\beta x\)

The general form of multiple linear regression is:

\(y=\alpha +\beta_{1} x_{1} +\beta_{2} x_{2}+...+ +\beta_{n} x_{n}\)

The dependent variable are usually denoted by the letter "y" and the independent variables are usually denoted by the letter "x".

Thus, the variable that is being predicted is the dependent variable.

The mean mass of the boxes is equivalent to 33.1 Kg.

       \($A= \frac {1}{n} \sum \limits_{i=1}^n a_i\)

        [A] : arithmetic mean

[n] : number of values

        a[i] : data set values

Given are 14 boxes are to be shipped from Korea to Taiwan. The dot diagram represents the masses, in kg, of the boxes.

The given data set is -

28, 30, 31, 31, 33, 33, 33, 33, 34, 34, 34, 35, 36, 40.

Using the formula for mean -

\($A= \frac {1}{n} \sum \limits_{i=1}^n a_i\)

A = (28 + 30 + 31 + 31 + 33 + 33 + 33 + 33 + 34 + 34 + 34 + 35 + 36 + 40)/14

A = (28 + 30 + 31 x 2 + 33 x 4 + 34 x 3 + 35 + 36 + 40)/14

A = (28 + 30 + 62 + 132 + 102 + 35 + 36 + 40)/14

A = 465/14

A = 33.21

Therefore, the mean mass of the boxes is equivalent to 33.1 Kg.

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Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

From the figure shown we can say that:

- A rectangular prism has 6 faces.

- A rectangular prism has 8 vertices or 8 corners.

- F (faces) + V (vertices) = 6 + 8 = 14.

- A rectangular prism has 12 edges.

The number of edges (space1) is 2 (space 2) less (space 3) than the sum of faces and vertices (space 4).

Answer:

p = t X 10.25

Step-by-step explanation:

if she makes 10.25 an hour/time then when you multiply it you will get the total pay.

Using the z-score tables, the number of babies that weighed more than 10 pounds is; 43

A probability distribution that can be considered to be symmetric about the mean is the normal distribution, which can often be referred to as the Gaussian distribution. This depicts to us the concept of data being close to the mean occurring more often than data that are considered far from the mean. The normal distribution usually has a bell curve graph.

We are given that;

The total number of babies is 908.

Mean of the normal distribution is 7.2 pounds.

Standard deviation of the normal distribution is 1.5 pounds.

The formula of z score is given by;

z = (x - μ)/σ

where;

x is sample mean

μ is population mean

σ is standard deviation

We are given that;

x = 10

μ = 1.5

σ = 7.2

Thus;

z = (10 - 7.2)/1.5

z = 1.86667

The P-value from Z-Table gives us:

P(x > 10) = 1 - P(x < 10) = 0.030974

The number of babies that weighed more than 10 pounds is;

(0.030974 × 908) ≈ 43

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Answer:

A,M,V

Step-by-step explanation:

Answer:

-4.57142857143 rounded to -4.57 or -4.6

Step-by-step explanation:

calculator

x  ≥  4 which means that x must be greater than or equal to 4.

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Given inequality as :

⇒ 2x - 2  ≥  6

Divided by 2 both sides of the inequality,

⇒ x - 1  ≥  3

Add the 1 on both sides of the inequality,

⇒ x - 1 + 1  ≥  3 + 1

⇒ x  ≥  4 or

⇒ x ∈ [4, ∞ )

So, the solution of 2x - 2  ≥  6 is x  ≥  4

Therefore, x must be greater than or equal to 4.

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Answer: Volume is 15cm

Step-by-step explanation: for ever square add 1/2 to each other

Answer:

0.5%

Step-by-step explanation:

That percentage would be:

 8 people

--------------------- = (1/200) = 0.005  multiplied by 100% yields 0.5%

 1600 people

The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.

A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis is an important part of research.

The following hypotheses would be appropriate for testing the difference in effectiveness between brand-name and generic ibuprofen:

The null hypothesis (H0) states that there is no difference in the mean effectiveness of brand-name and generic ibuprofen.

Alternative hypothesis (Ha): The mean effectiveness of brand-name ibuprofen and generic ibuprofen differs.

These hypotheses can be expressed symbolically as follows:

H0: _generic = _brand-name\\

Ha: _trademark _generic

Where _brand-name denotes the population mean efficacy of brand-name ibuprofen and _generic denotes the population mean efficacy of generic ibuprofen. The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.

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Answer:
H0: μ1 – μ2 = 0

Ha: μ1 – μ2 ≠ 0

Step-by-step explanation:

took the quiz :)

Answer:

1,2 and 3 because this three are positive numbers and when added and multipled both gives the same answer 6. 1,2 and 3 are the positive integers and the result of their addition and their multiplication is same .

Step-by-step explanation:

Answer:

1 2 and 3

Step-by-step explanation:

when added togegether the answer is 6 and when multiplied the abswer is 6

Answer:

Hi, option A). 3 to 1 is the correct option.

Step-by-step explanation:

See there are 6 yellow and 2 red.

It will be 6:2

And if we simplify it further both of the numbers are multiples of 2.

Therefore:

The answer is option A). 3:1

Answer: B. 4 to 1

Step-by-step explanation:

green = (3/4) purple

Substituting the expression for green from the first conversion, we get:

yellow = (5/6) (3/4) purple

yellow = (5/8) purple

Finally, we can use the third ratio to convert purple to red:

5 purple = 2 red

purple = (2/5) red

Therefore, the ratio between yellow to red is 4 to 1.

the area of the rectangle will be 1.5w².

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

The given length of the rectangle is w

The width will be 1.5w

So the rectangle of the white figure is Area = w*1.5w = 1.5 w²

hence the area of the rectangle will be 1.5w².

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The holdout method is a common approach to assess the performance of a model on new, unseen data.

Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. In simple linear regression, the relationship is modeled using a straight line, while in multiple linear regression, the relationship is modeled using a hyperplane in higher dimensions. Linear regression models are widely used in various fields, including finance, economics, social sciences, and engineering, to analyze and predict the behavior of a dependent variable based on one or more independent variables. The basic idea behind linear regression is to find the best-fitting line or hyperplane that minimizes the sum of the squared differences between the predicted values and the actual values of the dependent variable. This best-fitting line or hyperplane is called the regression line or regression hyperplane.

Here,

The basic idea is to split the available data into two parts: a training set and a validation set. The training set is used to fit the model, while the validation set is used to evaluate its performance. The holdout method can help us estimate how well the model will generalize to new data.

To compare the predictability of two linear regression models using the holdout method, we would follow these steps:

Split the data into a training set and a validation set. In this case, we would use the first 30 observations for training and the remaining 10 observations for validation.

Fit the first linear regression model using the training data. This model uses the variables x and d as predictors.

Fit the second linear regression model using the training data. This model extends the first model by including the interaction variable xd as a predictor.

Predict the response variable y for each observation in the validation set using both models.

Compare the predicted values to the actual values of y in the validation set. We can use metrics such as mean squared error (MSE) or R-squared to assess the performance of each model.

Choose the model that performs better on the validation set. This model is expected to have better predictability on new, unseen data.

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Answer:

\(5 { \times 54}^{2} \)