Inflation has caused the price of a 50-pound bag of rice to rise in a certain country, as shown in the table. What type of function models the situation?

Answer: [tex]||cu||=39[/tex]

Step-by-step explanation:

Given

[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]

[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction

[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]

[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]

option (a) is correct.

Answer:

65.3%

Step-by-step explanation:

P(2,3, OR 4)

You have to do each one individually then add them together

5C2(.4)^2 times (.6)^3 + 5C3(.4)^3 times (.6)^3 + 5C4(.4)^4 times (.6)^1=

.3465+.2304+.0768=.6528=65.3%

Step-by-step explanation:

Total time taken=(30/24+12/8)

=(1.25+1.5)

=2.75 hrs

=165 minutes

=2 hrs and 45 minutes

formula used: v=d/t

or,d=v×t

or,t=d/v which is the master formula used in the solution of this problem.

If you are satisfied with my answer then please, give brainliest.

Answer:

Step-by-step explanation:

From the question we are told that:

Null Hypothesis [tex]H_0: 50[/tex]

Alternative Hypothesis [tex]H_a: > 50[/tex]

Sample size [tex]n=50[/tex]

standard deviation[tex]\sigma=6[/tex]

Significance level [tex]\alpha=0.05[/tex]

a)

Sample mean [tex]\=x=52.5[/tex]

Generally the equation for Test statistics is mathematically given by

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

[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.95[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Reject the Null hypothesis [tex]H_0[/tex]

b)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

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

[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=1.18[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude,The value of test statistics is less than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

c)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

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

[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.12[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

Answer:

B) f(x) = 8x

Step-by-step explanation:

Horizontal shifts are representative of "C" in the equation "BF(CX-H)+K"

So, 2x * 4 = 8x

Answer:

[tex]d=8610.1ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta =6\textdegree[/tex]

Height of plane [tex]h=900ft[/tex]

Generally the trigonometric equation for distance flown d is mathematically given by

  [tex]sin \theta=\frac{h}{d}[/tex]

Therefore

 [tex]d=\frac{h}{sin\theta}[/tex]

 [tex]d=\frac{900}{sin6}[/tex]

 [tex]d=8610.1ft[/tex]

Answer: 8 hrs and 3/4 of an hour (three quarters)

Step-by-step explanation:

the same logic such as a quarter of an hour

if you meant to put a link there is none

Answer:

518,400ways

Step-by-step explanation:

nPr=n/n-r

10P3=10/(10-3)

=10/7

=10x9x8x7x6x5x4x3x2x1/7

=3,628,800/7

=518,400 ways

There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.

Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.

The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.

As per the given data in the question,

Total number of students in the class = 10

So, the ways the teacher can ask 3 students to complete the task will be,

= ¹⁰C₃ = 10!/[3! (10 - 3)!]

= (10 × 9 × 8 × 7!)/[3! × 7!]

= 720 / 6

= 120 ways.

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Answer:

For all the questions?

Step-by-step explanation:

Answer:

19.4 in.

Step-by-step explanation:

i dont know this questions

Answer:

Growth.

Step-by-step explanation:

y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.

Hope that this helps!

Answer:

48xy+36x

=6x(8y+6)

Step-by-step explanation:

Answer:

44.4 units

Step-by-step explanation:

Recall: 2 tangents drawn from an external point from a circle are congruent

Perimeter of the quadrilateral = AB + BC + CD + AD

AB = 3.1 + 8 = 11.1

BC = 3.1 + 8 = 11.1

CD = 11.1 (given)

AD = 8 + 3.1 = 11.1

Perimeter = 11.1 + 11.1 + 11.1 + 11.1

= 44.4 units

Answer:

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.

This means that [tex]n = 250, \pi = \frac{14}{250} = 0.056[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275[/tex]

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

Answer:

The minimum grade a student needs to have to qualify for the bonus points is of 85.16.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 72 and a standard deviation of 8.

This means that [tex]\mu = 72, \sigma = 8[/tex]

What is the minimum grade a student needs to have to qualify for the bonus points?

The 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.

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

[tex]1.645 = \frac{X - 72}{8}[/tex]

[tex]X - 72 = 1.645*8[/tex]

[tex]X = 85.16[/tex]

The minimum grade a student needs to have to qualify for the bonus points is of 85.16.

Answer:

A and C and E

Step-by-step explanation:

Circumference is = 2*pi*r

Answer:

3,850,000people

Step-by-step explanation:

Given

Total registered voters = 7million

If 55% of 10000 of the voters plans to vote for her, the number of people out of 10000 that plans to vote for her is expressed as:

55/100 × 10,000

= 55 × 100

= 5500

This shows that 5500 voters for every 10,000 plans to vote for her, if we have 7 million voters,

Hence x for every 7million plans to vote for her.

5500 = 10000

X = 7,000,000

Cross multiply

10,000x = 5,500 × 7,000,000

x = 5,500×700

x = 3,850,000

This shows that the population interest is 3,850,000people out of 7million

Answer:

7,870,000

.00004

.0000000000097

Step-by-step explanation:

Answer:

if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.

Answer:

40

Step-by-step explanation:

Girls=(25+b)

boys=b

girls + boys=105

(25+b)+b=105

2b=80

b=40

Check answer

girls=b+25

girls=40+25

girls=65

boys+girls=105

40+65=105

105=105

There are 40 boys in the school.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let 'x' be the number of girls and 'y' be the number of boys in the school.

There are 105 pupils in a school.

So, we get an equation,

⇒ x + y = 105               ..................(1)

the girls are 25 more than the boys.

So, we get an equation,

⇒ x = y + 25               .........................(2)

Substitute above value of x in equation (1)

⇒ (y + 25) + y = 105

⇒ 2y + 25 = 105

⇒ 2y = 80

⇒ y = 40

Substitute above value of y in equation (2),

⇒ x = 40 + 25

⇒ x = 65

Therefore, there are 40 boys in the school.

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Answer:

10.5

Step-by-step explanation:

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

602 / 43 = 14

we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

The measure of ∠S is equal to 151°.

In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.

As per the given data:

We are given the diagram of a shape and all its internal angles.

As the given shape is having 5 sides, it will be a pentagon.

The sum of all internal angles in a pentagon is equal to 540°.

∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540

= 43x - 62 = 540

= 43x = 602

x = 14

To find the measure of ∠S.

∠S = 13x - 31

∠S = 13(14) - 31

∠S = 151°

The measure of ∠S is equal to 151°.

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