Purple paint is a mix of blue paint and red paint in the ratio of 7:4
How much blue and red paint is needed to make 1650 mL of purple paint?


Pls

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

A home improvement company is interested in improving customer satisfaction rate from the 52% currently claimed. The company sponsored a survey of 262 customers and found that 148 customers were satisfied.

What is the test statistic?What is the p-value?Does sufficient evidence exist that the customer satisfaction rate is different than the claim by the company at a significance level of a=0.057?

Solution: Here n=262 customers are selected.Sample proportion, p = Number of customers satisfied/ Total number of customers=148/262=0.564

In the case of one-tailed testing,The null hypothesis H0: p = 0.52 (claim by the company)

Alternative hypothesis H1: p > 0.52 (improvement in customer satisfaction rate)The test statistic is given byZ = (p - P) / √ [P * (1 - P) / n]

Where P is the hypothesized proportion in the null hypothesis.=0.52Z=(0.564 - 0.52) / √ [(0.52 * 0.48) / 262]=2.31 (approx)

The p-value for the test is the probability of Z = 2.31.

Using the Z-table, the p-value is calculated as 0.010. Hence the p-value is 0.01.The level of significance, α = 0.057As the level of significance (α) is greater than p-value (0.010),So, the null hypothesis is accepted.

There is no sufficient evidence that the customer satisfaction rate is different than the claim by the company at a significance level of a = 0.057.

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The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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Answer: Here ya go.

Step-by-step explanation:

Based on the given information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own graphing TI calculators so it can be estimated that the proportion of students who do not own a TI graphing calculator is 50%.

To estimate the proportion of students who do not own a TI graphing calculator, we can use the information provided that out of the 4 students who owned a TI calculator, 2 had graphing calculators. Since we know that all graphing calculators are TI calculators, we can assume that the 2 students with graphing calculators are included in the total count of students who own TI calculators. Therefore, the remaining 2 students who own TI calculators must have non-graphing calculators.

Based on this information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own non-graphing TI calculators. Therefore, we can estimate that the proportion of students who do not own a TI graphing calculator is 50%.

It's important to note that this is an estimation based on the limited information provided. To obtain a more accurate estimate, a larger sample size or more comprehensive data would be needed. Additionally, this estimation assumes that the sample of 4 students is representative of the entire student population in terms of calculator ownership. If there are any biases or limitations in the sampling method or if the sample is not representative, the estimate may not accurately reflect the true proportion of students who do not own a TI graphing calculator.

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Answer:

C

Step-by-step explanation:

The domain of a function is the span of x-values.

And the range of a function is the span of y-values it covers.

From the graph, we can see that the span of x-values the graph covers goes from x=1 to x=6.

In other words, the domain is all numbers between 1 and 6 including 1 and 6.

In an inequality, this is:

\(1\leq x\leq 6\)

For the range, we can see that the lowest the graph goes is y=1, and the highest it goes is y=7.

So, the range is all numbers in between 1 and 7 including 1 and 7.

In an inequality, this is:

\(1\leq y\leq 7\)

Thus, the correct answer is C.

D is half correct, but the domain and range is flipped, so that may be your mistake. Be more careful next time!

Since when Fanta put 2 dollars in her account her brother put 5 dollars in his account, then

The ratio between them is

Fanta: brother

2 : 5

If Fanta has 40 dollars in her account, then by using the ratio method we can find the amount in her brother's account

Fanta: brother

2 : 5

40. : x

By using the cross multiplication

Divide both sides by 2 to find x

Her brother will have 100 dollars when she has 40 dollars

By using the tape diagram, add Fanta by 2 and her brother by 5

Fanta: 2 4 6 8. 10. 12. 14 16 18. 20. 22 24. 26. 28. 30

Brother: 5 10. 15. 20. 25. 30. 35. 40. 45. 50. 55. 60. 65. 70. 75

Fanta: 32. 34. 36. 38. 40

Brother: 80. 85. 90 95. 100

Another ratio could be any number multiply by 2 and 5 (I will multiply them by 30 to get a new ratio)

Fanta: 60

Brother: 150

Answer:

Probability=

(number if outcomes favourable)/(total number of outcomes)

Therefore P(no red/green)=1-(8/21+6/21)

=1-(8+6)/21=1-14/21=(21×1-14)/21=(21-14)/21

=7/21=1/3 ans

Step-by-step explanation:

Answer:

-5 and 5

Step-by-step explanation:

you basically just subtract 5 from 5 and you get 0

Answer:

5 , -5

Step-by-step explanation:

The pair of numbers that  has a sum of 0 is 5, -5 this is because a negative number plus a positive that is the same number will automatically be zero.

Step-by-step explanation:

Let M&Ms be=x and Starburts be=y

According to first condition

4x+2y=8.34-eq no 1

According to second condition

2x+3y=6.15-eq no 2

now, multiplying eq no 1 by 3 and eq no 2 by 2 and subtracting eq no 2 from eq 1

12x+6y=25.02

-4x-6y=-12.3

8x=12.72

x=12.72/8

x=1.59

Putting the value of x in eq 1

4*1.59+2y=8.34

6.36+2y=8.34

2y=1.98

y=1.98/2

y=0.99

Hence,the m&ms costed 1.59 and Starbursts costed 0.99

Answer:

7/6

Step-by-step explanation:

1/3=2/6

2/6+5/6=7/6

Answer:1.16666666667

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

The three inequalities (listed below) have been plotted on a graph :

Answer:

24 cm

Step-by-step explanation:

The altitude from the centre to the chord is 5 cm and bisects the chord.

The radius of the circle is 26 cm ÷ 2 = 13 cm

There is a right triangle formed with legs 5 and x ( x is half the chord )

The hypotenuse is the radius, then using Pythagoras' identity

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take the square root of both sides )

x = \(\sqrt{144}\) = 12

Then

length of chord = 2x = 2 × 12 = 24 cm

Answer:

Step-by-step explanation:

The  chord, if the ends connected with the center, form an isosceles triangle with two sides being a radius of the circle.

We have:

From the triangle we get:

The length of the chord is 24 cm

Answer:

She can make 15 scarves with 5 yards of fabric

For each yard of fabric,3 scarves can be made

Step-by-step explanation:

5 yards  = 5/1 yards

5/1 divided into 1/3     is the same as

5/1 multiplied by 3/1

5X3 = 15

Answer:

23

Step-by-step explanation:

30/3 + 13/1

23

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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A two-dimensional form having four sides, four vertices, and four angles is referred to as a quadrilateral. Examples are: Trapezium, Parallelogram, Rectangle, Rhombus, Square and Kite.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals. Hence a Quadrilateral is of 4 sides, vertices and angles. It consists of 360 degrees.

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Answer:

x=18

Step-by-step explanation:

Answer:

x= 18

Step-by-step explanation:

To solve this equation you have to work backwards

Start by dealing with the numbers that we know:

450 + (28.75 × x) = 967.5

-450                          -450

28.75x = 967.5

(when a number and a letter in mathematics are next to each other they are multiplying)

Now divide to find the value of x:

967.5 ÷ 28.75 = 18

18 is the value of x

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Considering that it has a higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

The coefficient of variation for a distribution is given by the standard deviation of the distribution divided by the mean of the distribution. The higher the coefficient, the more spread out the distribution is.

For the distributions in this problem, the coefficients are given as follows:

Due to the higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

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Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

Answer:

Step-by-step explanation:

A=4

B=6

C=2

D=3

E=5

F=1

The total surface area of the prism is 812 units² and lateral surface area is 684 units²

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism = 2B +ph

where h is the height and

B is the base area and p is perimeter of the base

Base area = 1/2bh

= 1/2 × 8× 16

= 64 units²

Perimeter of the base = 10+10+16 = 36 units

SA = 2 × 64+36 × 19

= 128 + 684

= 812 units²

The lateral surface area = (19× 10 )+ (19 × 10 )+ (16 × 19)

= 190 + 190 + 304

= 684 units²

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Answer:

The volume of the cylinder is greater than the volume of the prism.

Step-by-step explanation:

The Volume of a cylinder is given as:

= πr²h

Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:

= πr²h
=3.14 × 3² × 12

=339.12

The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:

= Length × Width × Height

Based on the calculation, the volume of the cylinder is greater than the volume of the prism.

Answer:

B: The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation:

In order to find the volume of the cylinder, we would use to formula \(\pi r^{2} h\). Substitute the given measures of the cylinder to get \(\pi\)·3²·12. The simplified and calculated form would be 108 units cubed.

Now, we find the volume of the rectangular prism, which is \(l\)·\(w\)·\(h\), or 16*16*9. This means the volume is 2304 units cubed.

Therefore, since 2304 un³>108 un³, answer choice b would be correct.

The largest angle for which it would be appropriate to use the small angle approximation for cosine is 15 degrees

We know that basic trigonometric identities are the primary trigonometric ratios of sine, cosine, and tangent that are defined in a right triangle but at the same time these ratios have numerous applications, but their most important application is finding unknown sides and angles in a right triangle.

Small Angle approximation can be said to be the approximation that can be used to find a more simplified formula for each of the three primary ratios. This process is called a small-angle approximation or applying the small-angle approximation theorem.

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The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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The value of  (x - µ) / σ is the z factor.

We have:

x is the random number

µ is the mean

σ  is the standard deviation,

Now,

we need to evaluate, (x - µ) / σ

(x - µ) / σ = z factor

The Z factor is computed by dividing the dynamic range by the separation band (i.e., the difference between the sample mean and the control mean).

The difference in a value's z-score between it and the set mean is measured in standard deviations. By deducting the value from the mean and dividing the result by the standard deviation, you may determine it.

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