1/2(10p-7q) if p=9 and q=2

Answers

Answer 1

Answer:

38

Step-by-step explanation:

1/2(10p-7q)

1/2(10(9)-7(2))

1/2(90-14)

1/2(76)

76/2

38


Related Questions

if a is more than b, what is the equation for an ellipse with a centre at the origin and a horizontal major axis?

Answers

Answer:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

STUDY
1. Simplify the expression below
5p + 14p
4(x - 2) + 6x
2. Evaluate

Answers

Answer:

(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.

Step-by-step explanation:

Answer:

5p + 14p= 19p

4 (x-2)+6x

4x-8+6x

10x-8

A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting taxes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]

In this problem:

1,190 adults were asked, hence [tex]n = 1190[/tex]In fact 62% of all adults favor balancing the budget over cutting taxes, hence [tex]p = 0.62[/tex].

The mean and the standard error are given by:

[tex]\mu = p = 0.62[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]

[tex]Z = -2.13[/tex]

[tex]Z = -2.13[/tex] has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Please show your work !! 3and 4

Answers

Step-by-step explanation:

#3. 3^⅓ × 9^⅓ ......make the bases the same

3^⅓ × (3²) ^⅓

3^⅓ × 3^⅔ .....since the bases are the same, add the powers

3^ (⅓+⅔)

3^1

3

#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5

(x + 6) ^3/5 *5/3= 8^¹*5/4

x + 6 = 8^5/3

x + 6= ( 3√8)^5

x + 6 = 2^5

x + 6 = 32

x = 32 -6

x = 26

hope this helps!

Not sure though

I need help with these three questions I have the question and math problems all in the screenshots please help :)

Answers

Answer:

Screenshot 1 = Option B (5x-1)²

Screenshot 2 = (x+9)(x+9)

Screenshot 3 = Option 3 100x²-20x+1

Step-by-step explanation:

Screenshot 1 -

(5x-1)² = (5x-1)(5x-1)

5x · 5x = 25x²

5x · -1 = -5x

5x · -1 = -5x

(-1) · (-1) = 1

25x²- 5x- 5x + 1 = 25x² - 10x + 1

Screenshot 2 -

(x+9)(x+9)

x · x = x²

x · 9 = 9x

x · 9 = 9x

9 · 9 = 81

x² + 9x + 9x + 81 = x² + 18x + 81

Screenshot 3 -

100x²-20x+1

(10x-1)(10x-1)

10x · 10x = 100x²

10x · (-1) = -10x

10x · (-1) = -10x

(-1) · (-1) = 1

100x² - 10x - 10x + 1 = 100x² - 20x +1

Which statements are true about Gretchen's adjusted data set?
The data set is approximately symmetric.
The center moved farther from the center of Manuel's data set.
a The center moved closer to the center of Manuel's data set.
The spread values are closer to the spread values of Manuel's data set.
The data set is skewed left.
The spread values are farther from the spread values of Manuel's data set.

Answers

Answer:

The spread values are closer to the spread values of Manuel’s data set.

The data set is approximately symmetric.

The data set is skewed left.

Step-by-step explanation:

i got it right.

The true statements bout Gretchen's adjusted data set are (1), (4), and (5).

What are statistics?

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

Which statements are true about Gretchen's adjusted data set:

The options are:

The data set is approximately symmetric.The center moved farther from the center of Manuel's data set.The center moved closer to the center of Manuel's data set.The spread values are closer to the spread values of Manuel's data set.The data set is skewed left.The spread values are farther from the spread values of Manuel's data set.

As we know,

The spread values are more similar to Manuel's data set's spread values, and the data set is roughly symmetric and tilted to the left.

The true statements are:

The data set is approximately symmetric.The spread values are closer to the spread values of Manuel's data set.The data set is skewed left.

Thus, the true statements bout Gretchen's adjusted data set are (1), (4), and (5).

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I forgot how to do this lol

Answers

The equation of the line has the form: y = ax+b parallel to the line y = -2x + 7
=> a= -2
Passes through (4,1) => x=4, y=1
Substituting into the equation:
1= -2x(4) + b => b= 9
=> y= -2x + 9

solve for x: 2-3(2x-2)=17​

Answers

Answer:

x = - 1.5

Step-by-step explanation:

2 - 3(2x - 2) = 17 ← distribute parenthesis

2 - 6x + 6 = 17 , simplify

8 - 6x = 17 ( subtract 8 from both sides )

- 6x = 9 ( divide both sides by - 6 )

x = [tex]\frac{9}{-6}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5

97 term of-5,-23,-41

Answers

Answer:

-1147

Step-by-step explanation:

Answer:

-1733

Step-by-step explanation:

-5-96*18 = -1733

Half of the marbles in a box are red, a third are white, and the other 6 are blue. Find the probability of picking a marble that is not blue

Answers

The probability of picking a marble that is not blue is 5/6

The proportions of the balls are given as:

[tex]Red = \frac 12[/tex]

[tex]White = \frac 13[/tex]

[tex]Blue = 6[/tex]

The probability of picking a ball that is not blue is:

[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]

So, we have:

[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]

Rewrite the fractions as equivalent fractions

[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]

Take LCM

[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]

Add 3 and 2

[tex]P(Not\ Blue) = \frac {5}6[/tex]

Hence, the probability of picking a marble that is not blue is 5/6

Read more about probabilities at:

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What is the equation of the line that passes through the point (5, 6) and has a slope
of 2

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

pleaseee help lol also show work if you can please ​

Answers

Answer:

Answer is x = 31.5

Step-by-step explanation:

Explanation is in the picture. Pls give brainliest. :D

Use the information in the diagram to determine the height of the tree. The diagram is not to scale.

Answers

Answer:

75FT  B

Step-by-step explanation:

if the building is 150 feet, then the tree is about 50% the height of the building it is 75 feet tall or answer B

Your bank account starts with $1550 and every month $50 is automatically deducted for the cable bill. You want to know how long, x, it would take your account to drop below $0. How many months would it take for your account to drop BELOW $0?

Answers

Step-by-step explanation:

C(x) = 1550 - 50x

With C(x) the cash you have every month (x).

Now we solve:

1550 - 50x < 0

So it becomes:

50x > 1550

x > 31

The 32nd month you'll be broke.

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

C

Step-by-step explanation:

y = 10

x = 8

The y intercept is 0 and the line runs through (0,0)

m = y / x This formula can only be used when the y incept is 0.

m = 10/8

m = 5/4

Equation

y = 5/4 x

3

Which is greater?

48 fl oz
10 3/4 c

Answers

10 3/4 cups is bigger!!!!!!!!!!!!!

triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A

Answers

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²

Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged to 2,8 C is thrown at him and gets close enough to experience an electric field of 20 N/C. What is the electric force on the electroball from electroboy's electric field at this moment?

Answers

Answer:

static electricty

Step-by-step explanation:

it is preserved charge

Answer:

its electroboom not boy

Step-by-step explanation:

lol its static

A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.​

Answers

Answer:

24mph

Step-by-step explanation:

convert 20 mins and 30 mins to hrs by dividing by 60

4/(20/60)=12

6/(30/60)=12

12+12=24

Cyclist's average speed is 12 mph.

What is Speed?

Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.

It can also be defined as the rate of change of position of anything in any direction.

Speed is a scalar quantity as it does not have direction.

Total distance travelled by the cyclist = 4 miles + 6 miles

                                        = 10 miles

Total time taken by the cyclist = 20 minutes + 30 minutes

                                                  = 50 minutes

We need the average speed in mph or miles per hour.

We know that,

60 minutes = 1 hour

1 minute = 1/60 hour

50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour

                   = [tex]\frac{5}{6}[/tex] hour

Average Speed = Total distance travelled / Total time taken

                          = 10 miles / (5/6) hour

                          = 10 × [tex]\frac{6}{5}[/tex]

                          = 12 miles per hour

Hence the average speed of the cyclist is 12 miles per hour.

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Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15

Answers

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R is ....

Answers

Answer:

[tex]i = \sqrt{ \frac{p}{r} } [/tex]

Use the information in the diagram to determine the height of the tree. The diagram is not to scale.

Answers

Step-by-step explanation:

the scenario creates 2 similar triangles :

one main triangle with the house height the double floor distance and the double line of sight from the left point on the floor to the top of the house.

and the other triangle is the height of the tree, the single floor (from the left point to the tree) distance, and the single line of sight from the left point on the floor to the top of the tree.

similar triangles means : all angles are the same. and the side lengths of one triangle correlate to the corresponding side lengths in the other triangle by the same multiplication factor.

and that means that the floor distances of small and large triangle have the same ratio, as the view of line distance AND the height sizes.

we see : large triangle side / small triangle side = 2/1 = 2

and therefore, the same factor (2) applies to the heights.

so,

height of house / height of tree = 2

therefore,

height of tree = height of house / 2 = 150/2 = 75 ft

3. In a survey of 200 people about a bus company, 77 said they were satisfied with the bus
company's performance. What percent of the people were satisfied with the bus company's
performance?

O 23%

38.5%

061.5%

077%

Answers

The percentage of the people that were satisfied with the bus company's  performance is: B. 38.5%

Given the following data:

Population = 200 peopleSatisfied people = 77 people

To determine the percentage of the people that were satisfied with the bus company's  performance:

In this exercise, you're required to find the number of the people that were satisfied with the bus company's  performance as a percentage of the total population in this survey.

Thus, we would use this formula:

[tex]Percentage = \frac{Satisfied\;people}{Population} \times 100[/tex]

Substituting the given parameters into the formula, we have;

[tex]Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}[/tex]

Percentage = 38.5%

Read more on percentage here: https://brainly.com/question/14432715

Which property is shown here? (-3 + 9) + 1 = -3 + (9 + 1)

Answers

Answer:

Commutative property

Step-by-step explanation:

Answer:

Associative property I think

Step-by-step explanation:

Find the common ratio of the geometric sequence 9, -18, 36, ...

Answers

Answer:

-2.

Step-by-step explanation:

-18/9 = -2.

36/-18 = -2.

We multiply by -2 to get the next number in the sequence.

Common ratio is -2.

The following circular spinner has 10 sections of equal size. If the spinner is spun twice, what is the probability that the spinner lands on an odd number both times?

Answers

Answer:

The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

hope this helps you mark me brinilylist

Please show work!! I'll give you brainliest

10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?

Answers

Answer:

b=34.2m

Step-by-step explanation:

equation for area of parallelogram

a=b×h

in which b is the base(length) and h is the height

[tex]690.84 = b \times 20.2[/tex]

[tex]b = \frac{690.84}{20.2} [/tex]

b=34.2m

What percent of the respondents preferred dark chocolate or milk chocolate?
Write your answer using a percent sign (%).

Answers

80%, 1000-200 = 800/1000 or 80%

how many roots does the quadratic function h(x)+=x2^2-3x+6 have

Answers

The quadratic function h(x) = x² - 3x + 6 has 2 roots.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic etc.

A quadratic polynomial has a degree of 2, hence it has only 2 roots.

The quadratic function h(x) = x² - 3x + 6 has 2 roots.

Find out more on polynomial at: https://brainly.com/question/2833285

Kiara bought fabric to make a dress and a sewing machine. The total cost of her purchase, $80.50, included both the cost of her sewing machine

Write an equation to determine the cost of fabric per foot

find the cost of fabric per foot

Answers

The cost is of fabric per foot 40.25$
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