Solve for n.

6 + 2n = 10

n =

Step-by-step explanation:

$333 for 18 hours work.

so,

333/18 = $18.50 for a single hour.

how many hours to make $425.50 ?

well, as often as the amount of 1 hour work fits into 425.5 :

425.5 / 18.5 = 23 hours

she will have to work 23 hours to make $425.50.

The number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

Given that, one week, Charlotte earned $333.00 at her job when she worked for 18 hours.

We need to find how many hours would she have to work the next week to earn $425.50.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, money earned in one hour = 333/18 =$18.5

If she is paid the same hourly wage, to earn $425.50, she has worked for 425.50/18.5 hours

=23 hours

Therefore, the number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The probability that both the balls are black is  \(\frac{1}{9} \\\) .

Probability is the section of mathematics which deals with the likelihood of an event happening.

The value of probability is a fraction which always lies between 0 and 1. it is defined as the ratio of the favorable outcomes of an event to the total outcome of an event.

Given the bag has 10 white balls and 5 black balls. Therefore the total number of balls in the bag is 15 .

Hence the sample space is 15 .

The balls are drawn with replacement. Therefore for the first ball pick:

Number of favorable outcomes = 5

Total number of outcomes = 15

Probability = favorable outcome ÷ total outcome

Therefore  \(P_1=\frac{5}{15}=\frac{1}{3}\)

Now the ball is placed back and the second ball is picked.

Number of favorable outcomes = 5

Total number of outcomes = 15

Probability = favorable outcome ÷ total outcome

Therefore  \(P_2=\frac{5}{15}=\frac{1}{3}\)

Now the total probability that both the balls are black is :

P = P₁×P₂

\(P=\frac{1}{3}\times \frac{1}{3}\\\\P=\frac{1}{9}\)

Hence the probability of picking two black balls is  \(\frac{1}{9} \\\)  .

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Answer:

the answer and explanation is there in the picture above as I found it hard to answer through text.

don't mind my messy handwriting...

I was writing fast.

Step-by-step explanation:

i hope this helps...

please give me brainliest if you find my answer helpful...

thank you and have a great day ahead :)

Answer:

You will have 21 positive results.

Step-by-step explanation:

Sensitivity of test:

Is the true positive rate, that is, the proportion of positive results that give positive tests.

Specificity of test:

True negative rate, that is, the proportion of negative results that give negative tests.

90% sensitive, 20 reliable people apply

0.9*20 = 18

95% specific, 60 unreliable people apply

1 - 0.95 = 0.05 of positive results.

0.05*60 = 3

How many positive results will you have?

18 + 3 = 21

You will have 21 positive results.

Answer:

Point-Slope: \(y+4=-\frac{1}{2}(x+3)\)

Slope-Intercept: \(y=-\frac{1}{2}x-\frac{11}{2}\)

Step-by-step explanation:

The point-slope formula is \(y-y_{1}=m(x-x_{1} )\). The slope-intercept formula is \(y=mx+b\). Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

\(y-(-4)=-\frac{1}{2}(x- (-3))\)

\(y+4=-\frac{1}{2} (x+3)\)

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

\(y+4=-\frac{1}{2}x-\frac{3}{2}\)

\(y=-\frac{1}{2}x-\frac{11}{2}\)

Answer: Point slope form   y+4= -1/2(x+3)  

Slope intercept form: y=-1/2x -11/2

Step-by-step explanation:

(-3,-4) : m= -1/2  

So we know the slope and to write it in point slope form it will be like ,

y- b = m(x-a)   Where b is the y value and a is the x value  and m in this case is the slope .

y- (-4) = -1/2 ( x-(-3)   which reduces to  y+4= -1/2(x+3)

Now to write it in slope intercept form  it will be  like y=mx+b and we kow htat m is the slope but we do not know b the y-intercept. But using the given coordinates we could plot it into the formula and solve for b.

y = mx +b

We  know that y is -4  

We know that m is -1/2  

we know that x is  -3  

so  -4 = -1/2(-3) + B

    -4  = 3/2 + b

   -3/2    -3/2

  b= -11/2  

We know now that the y intercept is -11/2 so we could write  it in slope intercept form.

y= -1/2x - 11/2

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

x = 21

y = 15

Step-by-step explanation:

3x - 16 + 6x + 7 = 180

3x + 6x - 9 = 180

9x = 180 + 9

9x = 189/9

9x/9 = 189/9

x = 21

6x + 7 = 11y - 32

6(21) + 7 = 11y - 32

126 + 7 = 11y - 32

133 + 32 = 11y

165 = 11y

11y/11 = 165/11

y = 15

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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Answer:

1. Corresponding angles

2. Alternate Interior angles

The trigonometric Identity proof (sec²θ - 1)cot²θ = 1 is as explained below.

We want to prove that;

(sec²θ - 1)cot²θ = 1

Now, we know from trigonometric identities that;

sec²θ - 1 = tan²θ

Thus, the left hand side of our original equation can be written as;

tan²θ * cot²θ

We also know in trigonometric identities that 1/tan θ = cot θ. Thus;

tan²θ * cot²θ can be written as;

tan²θ * (1/ tan²θ)

The above will cancel out to give us 1 which is also equal to the right hand side and as such our trigonometric proof is complete.

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Answer:

x=3, y=1

Step-by-step explanation:

2x+3y=9. Equation 1

4x+y=13   Equation 2

y=13-4x.  Modify equation 2 to isolate y

2x+3(13-4x)=9 subst value of y of equation 2 into equation 1

2x+39-12x=9 solve equation

-10x+39=9

-10x=-30

x=3

solve for y

2x+3y=9

2(3)+3y=9

6+3y=9

3y=3

y=1

Check answer:

4x+y=13

4(3)+1=13

13=13

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Answer:

please check photos for explanation.

The correct matches are:

32 corresponds to log₂(x) = 5

3 corresponds to log₃(x) = 1

1,000 corresponds to log₁₀ (x) = 3

625 corresponds to log₅(x) = 4

16 corresponds to log₄(x) = 2

A logarithm is a mathematical function that represents the exponent to which a specific base must be raised to obtain a given number. In other words, it is the inverse operation of exponentiation.

The logarithm of a number x to a given base b is denoted as log_b(x), where b is the base and x is the number. It represents the power to which the base must be raised to obtain the value x.

The logarithmic equations and their corresponding x-values are as follows:

log₂(x) = 5 → x = 32

log₃(x) = 1 → x = 3

log₁₀(x) = 3 → x = 1,000

log₅(x) = 4 → x = 625

log₄(x) = 2 → x = 16

So, the correct matches are:

32 corresponds to log₂(x) = 5

3 corresponds to log₃(x) = 1

1,000 corresponds to log₁₀ (x) = 3

625 corresponds to log₅(x) = 4

16 corresponds to log₄(x) = 2

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The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.

A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:

Maximum housing budget = 30% of $1575

Maximum housing budget = 0.30 × $1575

Maximum housing budget = $472.50

Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

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Answer:

B

Step-by-step explanation:

i took the same thing

Answer:

Step-by-step explanation:

yall it literally says the probability LOL it has its own section, look at the numbers 2 and 20 and under them, the probabilty is spelled out for you :]

Answer:

Ivy is 15 years old and Audrey is 12 years old.

Step-by-step explanation:

Let Ivy's age be \(i\) and Audrey's age be \(a\).

Since the sum of their ages is 27, we can write the equation \(i+a=27\).

Next, we'll write a second equation from the fact that 9 years ago Ivy was twice as old as Audrey. Nine years ago, Ivy and Audrey's ages were \(i-9\) and \(a-9\), respectively. Therefore, we have \(i-9=2(a-9)\)

Let's isolate \(i\) by adding 9 to both sides:

\(i=2(a-9)+9\)

Distribute:

\(i=2a-18+9,\\i=2a-9\)

Now substitute \(i=2a-9\) into our first equation:

\(2a-9+a=27,\\3a-9=27, \\3a=36, \\a=\boxed{12}\)

Therefore, Ivy's age must be:

\(i+12=27,\\i=27-12=\boxed{15}\)

Thus, Ivy must be 15 years old and Audrey must be 12 years old.

The average confidence interval, according to our 80% level of confidence, falls between 31.54 and 35.86 minutes for the total population.

You only have a 5% probability of making a mistake with a 95% confidence interval. You have a 10% probability of being mistaken when the confidence interval is 90%. The difference between a 95 percent and 99 percent confidence interval is the width of the interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

Confidence intervals include details about the range in which the true value is likely to fall, as well as the kind and magnitude of the effect that has been proved. Conclusions concerning the can be made as a result of this.

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The second differences for the relation is -2 which is option A.

To find the second differences, we need to calculate the difference between consecutive differences of the 'y' values in the given relation.

First, let's calculate the first differences:

-9 - (-4) = -5

-4 - (-1) = -3

-1 - 0 = -1

0 - (-1) = 1

-1 - (-4) = 3

-4 - (-9) = 5

Now, let's calculate the second differences:

-5 - (-3) = -2

-3 - (-1) = -2

-1 - 1 = -2

1 - 3 = -2

3 - 5 = -2

The second differences for the given relation are all -2.

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The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

From the question, we have the following parameters that can be used in our computation:

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

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Answer:

Approach 1: Mathematical Approach

Domain is the possible inputs or x values of a function

Here we can use any x values greater than or less than 7. We can also use 7 since their is a a function defined for x greater than or equal to 7.

So the domain is (-♾, ♾).

The range is possible y values. Since we can use negative x values, if we plug in x values for the function -5/7x+1, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

This means the range is bounded to -4 so our range is

(-4,♾)

Approach 2: Graphical Approach

Above is the graph

It can take any x values so the domain is (-♾, ♾).

The range is (-4,♾).

Answer:

i kinda wanna say it is the first one or second

Step-by-step explanation:

Answer:

10 pounds for $4.99

Step-by-step explanation:

If you multiply the 5 pounds for 2.69 by 2, you would get 10 pounds of hamburger for 5.38 which is more than 4.99

if there are 360 days in 1 year, then 60 days is 60/360 = 1/6 of a year.

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$375\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &\frac{1}{6} \end{cases} \\\\\\ I=(375)(0.095)(\frac{1}{6})\implies I\approx 5.94\)