- 3x + 5y = -2
2x - 2y = 1
Solve by elimination

Answer:

[tex]T > 45[/tex]

Step-by-step explanation:

Given

[tex]\frac{T}{3} > 15[/tex]

Required

Graph the solution

[tex]\frac{T}{3} > 15[/tex]

Multiply both sides by 3

[tex]3 * \frac{T}{3} > 15*3[/tex]

[tex]T > 15*3[/tex]

[tex]T > 45[/tex]

See attachment for graph (Assume T is on the x-axis)

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that [tex]p = 0.6[/tex]

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].

We have that

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]

0.9744 probability that AT LEAST ONE of them has been vaccinated

Answer: 3.25 = 13/4

Step-by-step explanation:

I got 13/4

A mixed number is an addition of its whole and fractional parts.

3 + 1/4

add 3 and 1/4

To write

3

as a fraction with a common denominator, multiply by 4/4

3 x 4/4 + 1/4

Combine 3 and 4/4

3x4/4+ 1/4

Combine the numerators over the common denominator.

3x4+1/4

Simplify the numerator.

Multiply 3 by 4

12+1/4

Add 12 and 1

And your final answer is

13/4

Answer:

first you multiply both sides by k. that makes kU equals x

Answer:

Distance between two points = √37

Step-by-step explanation:

Given:

(-2,-1)

(-3,5)

Find:

Distance between two points

Computation:

Distance = √(x1 -x2)² + (y1 - y2)²

Distance between two points = √(-2+3)² + (-1 - 5)²

Distance between two points = √ 1 + 36

Distance between two points = √37

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Answer:

3x + 4y = 17

Step-by-step explanation:

Espero y te haiga ayudado :)

Answer: 59.98

Step-by-step explanation: :)

The distance between them is 59.92 ft

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

Given that, a scenario that is making an arrangement of a right-angled triangle, we need to find the base, [refer to the figure attached]

So, here we will use the Pythagoras theorem

75²+base² = 96²

base² = 96²-75²

base = √3591

base = 59.92

Hence, the distance between them is 59.92 ft

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Answer:

y and x equal

[tex] \sqrt{5 } [/tex]

Answer:

3 hours

Step-by-step explanation:

(60km)/(20km/hr)=3

Answer:

$3,120

Step-by-step explanation:

$2,000

+$1,120

---------------

    $3,120

Hence, the percent is the discount is $ [tex]3120[/tex].

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

The regular price of an item at a store is $[tex]2,000[/tex]. If the sale price is $[tex]1,120[/tex].

So,

[tex]2,000+1120=3120[/tex] $

Hence, the percent is the discount is $ [tex]3120[/tex].

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Answer: 14

Step-by-step explanation:

0-14 is -14 0+14 is 14

The correct number which is the same distance from 0 as - 14 is,

⇒ d = 14

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

To find the same distance from 0 as −14.

Now, We can formulate;

The correct number which is the same distance from 0 as - 14 is,

⇒ d = | 0 - (- 14)|

⇒ d = 14

Thus, The correct number which is the same distance from 0 as - 14 is,

⇒ d = 14

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Answer:

165.00 dollars

Step-by-step explanation:

Answer:

Exterior angle = 45° each

Step-by-step explanation:

Given:

Number of side n = 8

Find:

Exterior angle

Computation:

Exterior angle =360° / n.

Exterior angle =360° / 8

Exterior angle = 45° each

Answer:

13/10  < 25/10  < 92/10  < 133/10

Step-by-step explanation:

13/10 is less than 5/2 is less than 46/5 is less than 133/10

Answer:

45

Step-by-step explanation:

Answer:

30.9 square cm

Step-by-step explanation:

subtract area of circle from area of square

Area of square = 12² or 144  

(each side is twice the radius)

Area of circle = 6²π or 113.1

Answer:

1/3(9x+12)+4x+6=x

We move all terms to the left:

1/3(9x+12)+4x+6-(x)=0

Domain of the equation: 3(9x+12)!=0

x∈R

We add all the numbers together, and all the variables

3x+1/3(9x+12)+6=0

We multiply all the terms by the denominator

3x*3(9x+12)+6*3(9x+12)+1=0

Wy multiply elements

9x^2(9+18x(9+1=0

Step-by-step explanation:

B 56

Step-by-step explanation:

Answer:

[tex]y = x - 4[/tex]

Step-by-step explanation:

Given

[tex]2y - 2x = -8[/tex] -- correct expression

Required

Represent as slope intercept form

[tex]2y - 2x = -8[/tex]

Make 2y the subject

[tex]2y = 2x - 8[/tex]

Divide through by 2

[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]

[tex]y = x - 4[/tex]

Answer:

m∠Z= 23°

Step-by-step explanation:

if they're equal, as are their angles

124°+33°= 157°

180°-157°= 23°

m∠Z = 23°

The triangles are congruent. Therefore,

ΔXYZ ≅ ΔMNL

∠Y ≅ ∠N

Therefore,

∠Y = 124°

Sum of angles in a triangle = 180°

33 + 124 + m∠Z = 180°

157 +  m∠Z  = 180°

m∠Z = 180 - 157

m∠Z = 23°

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Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

Answer:

12(m +1) > 18m - 3

12m + 12 > 18m - 3

12+3 > 18m - 12m

15 > 6 m.

m < 15/6

m < 2.5

4th option is correct.

Answer:

{m| m < 2.5}

Step-by-step explanation:

m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]

hope that helped!

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

Answer:

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a random sample of 500 employees, 15 reported owning an electric car.

This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]

The standard mean error is calculated by:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]

Then the confidence interval limits can be found by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]

We have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]

Finding the standard mean error:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]

From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758

Thus, the confidence interval is obtained by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

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Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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Step-by-step explanation:

Consider a function

f

(

x

)

which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.

Answer:

Step-by-step explanation:

60 = x% of 80

x% = 60/80 = 0.75 = 75%