Sets A,B , and C are subsets of the universal set U.

These sets are defined as follows.

U= {f,g,h,p.q.r.x.y.z}

A={f,h,p.q.r}

B={q,r,y,z}

C={g,h,p,q,y}


Find (B' U A) ∩ C.

Write your answer in roster form or as Ø.

Using a system of equations, the amounts of cholesterol in each item are given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables for this problem are given as follows:

By eating 1​ egg, 1​ cupcake, and 1 slice of​ pizza, a child consumes 303 mg of cholesterol, hence:

x + y + z = 303.

3 cupcakes and 4 slices of​ pizza, he or she takes in 90 mg of cholesterol, hence:

3y + 4z = 90

y + 1.33z = 30.

By eating 2 eggs and 1​ cupcake, a child consumes 570 mg of cholesterol, hence:

2x + y = 570.

Then, writing y and z as functions of x:

Then, replacing on the first equation:

x + y + z = 303.

x + 570 - 2x + 1.5x - 406 = 303.

0.5x + 164 = 303.

x = (303 - 164)/0.5

x = 278.

The amounts for the cupcake and the slice of pizza are given as follows:

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The most likely the line of best fit for this scatter plot is line C.

It should be noted that a scatterplot simply means a graph that shows the relationship between the variables in the data set.

In this case, the most likely the line of best fit for this scatter plot is line C. The dependent variable is illustrated in the x axis and the dependent variable is illustrated on the y axis.

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Using the z-distribution, the observed test statistic is given as follows:

z = 3.69.

At the null hypothesis, it is tested if older students have the same mean as the general population, that is:

[tex]H_0: \mu = 115[/tex]

At the alternative hypothesis, it is tested if they have a greater mean, that is:

[tex]H_0: \mu > 115[/tex]

The test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]\overline{x} = 135.2, \mu = 115, \sigma = 30, n = 30[/tex]

Hence the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{135.2 - 115}{\frac{30}{\sqrt{30}}}[/tex]

z = 3.69.

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7. D. Arc JK = 124°

8. Applying the angle of intersecting chords theorem, m∠1 = 115°.

The angle of intersecting chords theorem states that the angle (∠1) formed by two chords in a circle, equals half of the sum of the intercepted arcs (arcs ML and JK).

Arc JMK = 2(118) = 236° [inscribed angle theorem]

Arc JK = 360 - arc JMK = 360 - 236

Arc JK = 124°

Arc ML = 236 - 70 - 60 = 106°.

m∠1 = 1/2(arc JK + arc ML)

m∠1 = 1/2(124 + 106)

m∠1 = 115°.

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The greatest size grid squares she can make is; 12 inch by 12 inch.

Since, it follows from the task content that the poster at the artist's disposal is 12 inch by 30 inch, it follows that the smaller dimension of the poster is; 12inch.

It is the limiting dimension and hence, the greatest size grid squares she can make is; 12in by 12 inch.

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The complete  table will be:

Fraction      Decimal       Percent

39/100            0.39           39%

82/100            0.82           82%

22/100           0.22          22%

3/4                   0.75          75%

80/100           0.8             80%

The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the following example:

[tex]\frac{25}{100} =0.25*100=25%[/tex]

The percentage is considered a math tool with several applications and areas, for example: medicine, engineering, investments, supermarkets, drugstores,banks  etc.

Fraction      Decimal       Percent

39/100            0.39           0.39*100=39%

Fraction      Decimal       Percent

82/100            0.82         0.82*100=82%

Fraction      Decimal       Percent

22/100           0.22        22%

Fraction      Decimal       Percent

3/4                 0.75        0.75*100=75%

Fraction      Decimal       Percent

80/100           0.8         0.80*100=80%

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Answer:

Median

Explanation:

Real estate prices are virtually usually biased to the right. If we estimate the price of a typical home in a city at $500,000. We would have no trouble locating properties for $2 million and $3 million, and perhaps even some $5 or $6 million residences. However, you won't find houses for under $1.5 million. Because of this, the mean value is pulled toward the high end more than the median value.

The value of the given expression is 11.57

Division are written as a ratio of two values. Given the expression below

5+6+6+2^6 ÷ 7

Simplify to have:

(11+6+64)÷ 7

Simplify the expression in parenthesis

81÷ 7

11.57

Hence the value of the given expression is 11.57

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The transformation illustrated in the figure is translation.

Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.

Analysis:

Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.

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The outcome P-Value is 0.0179 when Zstat = +2.10

According to the statement

we have given the value of Z-Stat which is +2.10

And we have to find the P value when H0 is rejected only in the upper tail

Z-stat is defined as the Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And

we know that the relationship between Z-Stat and the p value is the P-Value is calculated by converting your statistic (such as mean / average) into a Z-Score.

So, the outcome p value is 0.0179

So, The outcome P-Value is 0.0179 when Zstat = +2.10

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Answer:

Line A

Step-by-step explanation:

Hello!

Given that the x-values is the time in minutes, and the y-axis is the number of dishes stacked, for every minute, the line should go up by 7.

This means, that the value of y when x is 1 should be 7. The line that follows this rule is Line A. For every minute, 7 dishes are stacked.

The answer is Line A.

Part A

1) (5, -1)

2) (1, -3)

3) (-2, -2)

4) (-5, -4)

Part B

1) (-5, 1)

2) (-1, 3)

3) (2, 2)

4) (5, 4)

The actual value is 250.

Applying simple percentage formula here,

let x be the whole value

x=148.5/ 59 2/5%

x= 148.5/0.594

x=250.

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The actual value is 250.

Applying percentage formula here,

let x be the value:

x=148.5/ 59 2/5%

x= 148.5/0.594

x=250

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Answer: 2.01

Step-by-step explanation:

[tex]5\ln x=3.5\\\\x=\frac{3.5}{5}\\\\x=e^{3.5/5}\\\\x \approx 2.01[/tex]

The equivalent expression to [tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}[/tex]

Equivalent expressions are similar expressions that may have different forms but when a value is replaced with the variables in the same form provides the same answer.

From the information given, If:

Then the fractional form can be an expression as:

[tex]\mathbf{(\dfrac{r}{s})(x)= \dfrac{3x-1}{2x+1}}[/tex]

where;

[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{3(6)-1}{2(6)+1}}[/tex]

[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{18-1}{12+1}}[/tex]

[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}[/tex]

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Answer:

2x+2

Step-by-step explanation:

x²+2x-3

=2(x^2-1)+2*1(2x^1-1)

Answer:

[tex]\implies y=(x-2)^2-6[/tex]

Step-by-step explanation:

Vertex form of a quadratic equation:

[tex]y=a(x-h)^2+k[/tex]

where:

Given vertex:  (2, -6)

⇒ h = 2 and k = -6

Substitute the values of h and k into the formula:

[tex]\implies y=a(x-2)^2+(-6)[/tex]

[tex]\implies y=a(x-2)^2-6[/tex]

As we have not been given a value for the constant [tex]a[/tex], assume this is 1.

Therefore, the vertex form of the quadratic function with vertex (2, -6) is:

[tex]y=(x-2)^2-6[/tex]

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Vertex form

a=1

Put values

The fraction of those who were delivered by car will be 1/6.

It should be noted that from the information given, the students were questioned on how they got to schoo and half of the students said they walk, one-third said they take a taxi,and the rest claimed they drive.

Therefore, the fraction of those who were delivered by car will be:

= 1 - (1/2 + 1/3)

= 1/2 - 5/6

= 1/6

In conclusion, the fraction of those who were delivered by car will be 1/6.

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The first three statements are not a negation. Only the last statement is a negation.

The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "P" is the statement's negation. The words negation is used to denote a statement's denial.

It's vital to know the opposite of a given mathematical statement from time to time in mathematics. This practice is known as "negating" a statement. Remember that if a statement is true, then its negation must be false (and if a statement is false, then its negation is true).

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The solution to the system of inequalities is (0.667, 5.333)

The system of inequalities is given as:

y > 2x + 4

x + y ≤ 6

Next, we plot the graph of the system using a graphing tool

From the graph, both inequalities intersect at

(0.667, 5.333)

Hence, the solution to the system of inequalities is (0.667, 5.333)

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Answer:

Answer B is correct

Answer:

shown in explanation

Step-by-step explanation:

a) ∆EPB similar to ∆ERG

b) angle BEP = angle GER (common angle shared)

angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)

therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG

or explanation can also be shortened to

∆EPB is similar to ∆ERG (AA, similarity)

c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal

[tex] \frac{pb}{rg} = \frac{ep}{er} [/tex]

RG = 200+300=500m

[tex] \frac{200}{500} = \frac{ep}{ep + 350} [/tex]

cross multiply (from what I've learnt)

2ep+700=5ep

ep= 700/3 = 233 ⅓m (answer for length EP)

Do the same for length BE(using ratio of corresponding sides)

[tex] \frac{be}{ge} = \frac{pb}{rg} [/tex]

[tex] \frac{be}{be + 400} = \frac{200}{500} [/tex]

cross multiply again to get:

5BE = 2BE + 800

BE = 800/3 = 266 ⅔ m (answer for length BE)

Answer:

.3

Step-by-step explanation:

.33 is .03 greater than .3

The number which represents the smallest value between 0.3 and 0.33 is the number 0.3.

Given are two decimal numbers.

0.3 and 0.33

It is required to find the number which is the smallest between these two.

The number 0.3 can be written as 0.30.

And the other number is 0.33.

In order to find the smallest number, check the digits from left to right.

The first digit after the decimal point of both numbers is 3.

The second digit after the decimal point is 0 for 0.30 and 3 for 0.33.

Here 0 is smaller than 3.

So, 0.30 is smaller than 0.33.

Hence, the smallest value is 0.3.

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Answer:

the slope is 5 and the y intercept is 5

Step-by-step explanation:

I think that you meant to write y = 6x + 5.

y = mx + b

The number in in the m spot is the slope and the number in the b spot is the y intercept.

Please see the graph below

Part A

[tex]f(x)=(x-1)(2x-3)[/tex]

Part B

[tex](x-1)(2x-3)=0\\\\x=1, \frac{3}{2}[/tex]

So, the x-intercepts are [tex](1,0)[/tex] and [tex]\left(\frac{3}{2}, 0 \right)[/tex]

Part C

As [tex]x \to \infty[/tex], [tex]f(x) \to \infty[/tex] because the leading coefficient is positive.

As [tex]x \to -\infty[/tex], [tex]f(x) \to \infty[/tex] because the degree is even and the leading coefficient is positive.

Part D

Plot the x-intercepts on the graph, and then find the value of [tex]f(x)[/tex] at [tex]x=\frac{5}{4}[/tex] (the midpoint of the two roots) to plot the vertex. Then, draw a curve through these three points that approaches infinity as [tex]x \to \pm \infty[/tex]

The critical values are 0.622, 0.707, 0.789 and 0.834

The sample size is given as:

n = 8

Calculate the degrees of freedom using

df = n - 2

So, we have:

df = 8 - 2

df = 6

Using the table of values of critical values, we have:

Critical values = 0.622, 0.707, 0.789 and 0.834

By comparing the critical values and the linear correlation coefficient, we can conclude that there is no significant linear correlation.

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Answer:

20

Step-by-step explanation:

20+20=40