find the value of x in the equation below. 18 = x - 10

Answer:

Step-by-step explanation:

The first term here is -50 and the common ratio is 0.70.  Note that the second term is 0.70(50) = 35.

The formula a(n) = a(0)*r^(n -1) becomes  a(n) = -50*0.70^(n -1), and so

the 5th term is a(5) = -50*0.70^4 = -12.005

Answer:

The equation of a line passing through points [tex](x_1,y_1)[/tex]and [tex](y_1,y_2)[/tex] is given by:

[tex]y-y_1 = \frac{(y_2-y_1)}{x_2-x_1}(x-x_1)[/tex]

According to question, the passing points of the line are (1,1) and (3,-3). So, its equation is given by:

[tex]y-1 = \frac{-3-1}{3-1} (x-1) \\or, y-1 = \frac{-4}{2}(x-1)\\or, 2y-2 = -4x+4\\or, 4x + 2y = 2+4\\or, 4x+2y = 6\\or, 2x+y = 3 is the required equation.[/tex]

Answer:

Step-by-step explanation:

Given the expression

[tex]\lim_{x \to \ 0} \frac{sin^2x}{x}[/tex]

Substitute the value of x in the function

[tex]= \frac{sin ^2(0)}{0}\\= 0/0 (indeterminate) \\[/tex]

Apply l'hospital rule

[tex]\lim_{x \to \ 0} \frac{d/dx(sin^2x)}{d/dx(x)} \\= \lim_{x \to \ 0} \frac{(2sinxcosx)}{1} \\[/tex]

Substitute the value of x

= 2 sin(0)cos(0)

= 2 * 0 * 1

= 0

Hence the limit of the function is 0

Answer:

Step-by-step explanation:

Basically, since we know that the ticket gives the $2.50 discount we know that the d value will be always $2.5 less than the corresponding p value. The only table that follows that rule is option A).

Answer:

24

Step-by-step explanation:

because  its 24 gkrjkkmn lol

Answer:

The value of the test statistic is t = 2.19.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Our test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Sample of 1300 voters:

This means that [tex]n = 1300[/tex]

Found that 45% of the residents favored construction.

This means that [tex]X = 0.45[/tex]

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%.

This means that [tex]\mu = 0.42[/tex], and by the Central Limit Theorem:

[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.42*0.58}{1300}} = 0.0137[/tex]

So, the test statistic is:

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

[tex]t = \frac{0.45 - 0.42}{0.0137}[/tex]

[tex]t = 2.19[/tex]

The value of the test statistic is t = 2.19.

Answer:

It will read the same at F = -40.

Step-by-step explanation:

The relation between fahrenheit and celsius is given by the following equation:

[tex]C = \frac{5(F-32)}{9}[/tex]

At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

This is F for C = F. So

[tex]C = \frac{5(F-32)}{9}[/tex]

[tex]F = \frac{5(F-32)}{9}[/tex]

[tex]9F = 5F - 160[/tex]

[tex]4F = -160[/tex]

[tex]F = -\frac{160}{4}[/tex]

[tex]F = -40[/tex]

It will read the same at F = -40.

Answer:

probability that a rivet is defective is 0.00868

Step-by-step explanation:

given data

rivets = 20

all seam need reworking P = 16% = 0.16

solution

we consider here probability of a defective rivet = p

and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)

so that for non-defective = 1 - P [all the rivets are non-defective]

and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]

= [tex]1 - (p})^{20}[/tex]     ....................1

so

1-0.16 = [tex]1 - (p})^{20}[/tex]

0.84 = [tex]1 - (p})^{20}[/tex]

[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p

solve it we get

p = 0.00868

so, probability that a rivet is defective is 0.00868

Answer:

0.45 and 0.5

Step-by-step explanation:

plato/edmentum

The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)

This refers to the probability of a parameter falling across a set of values around the mean.

To find the 90% confidence interval,

Probability=  45%= 0.45

Level of significance= 90%

1-0.90

= 0.10

[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]

The value of 0.05

P0.05= 1.645

P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]

0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]

0.45 ± 1.645 * 0.035178

0.45 ± 0.0578

0.45 - 0.0578, 0.45 + 0.0578

(0.4, 0.507)

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Answer:

The correct answer is - Non sampling error

Step-by-step explanation:

Sampling errors arises when a sample does not represent the whole population.

It is  difference between the real values of the population and the values derived by using samples from the population.

A non-sampling error refers to an error that occurs during data collection, causing the data to differ from the true values.

Non sampling error are of two types , response error and non response error.

In the given question , the error is a response error.

So , it is an example of Non-Sampling error.

Answer:

x = 2, -2, -1/5

Step-by-step explanation:

g(x)= 5x^3+x^2-20x-4

g(x)= x^2(5x+1)-4(5x+1)

g(x)=(x^2-4)(5x+1)

g(x)=(x-2)(x+2)(5x+1)

x-2=0

x= 2

x+2=0

x= -2

5x+1=0

x= -1/5

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Question:

[tex]5x-3y=14[/tex]

[tex]3x-5y=2[/tex]

Find x and y

Answer:

[tex]x = 4[/tex]

[tex]y =2[/tex]

Step-by-step explanation:

Given

[tex]5x-3y=14[/tex]  -- (1)

[tex]3x-5y=2[/tex] -- (2)

Required

Find x and y

We'll solve this using elimination method.

Multiply (1) by 3 and (2) by 5 to eliminate x

([tex]5x-3y=14[/tex]) * 3

([tex]3x-5y=2[/tex]) * 5

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

[tex]15x - 9y = 42[/tex]

[tex]15x - 25y =10[/tex]

Subtract

[tex]15x - 9y = 42[/tex]

- ([tex]15x - 25y =10[/tex])

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

[tex]15x - 15x - 9y + 25y = 42 - 10[/tex]

[tex]- 9y + 25y = 42 - 10[/tex]

[tex]16y = 32[/tex]

Make y the subject

[tex]y = \frac{32}{16}[/tex]

[tex]y =2[/tex]

Substitute 2 for y in [tex]5x-3y=14[/tex]

[tex]5x - 3 * 2 = 14[/tex]

[tex]5x - 6 = 14[/tex]

Collect Like Terms

[tex]5x = 14+6[/tex]

[tex]5x = 20[/tex]

Make x the subject

[tex]x = \frac{20}{5}[/tex]

[tex]x = 4[/tex]

Answer:

y=2/3x+1

Step-by-step explanation:

m= (slope)

b= (y-intercept

Answer:

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time

Step-by-step explanation:

We use the following relation to solve the question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

First 15 minutes:

Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]

Velocity of 5 miles per hour. So the distance is of:

[tex]d = vt = 5*0.25 = 1.25[/tex]

Final 15 minutes:

The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:

[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time

Answer:

4.5 (j + m) + 27

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

The range of the 10  values is 10 - 3 = 7  so that is true.

The median will be the mean of the 2 middle values so that is possible also. The distribution could be, for example:

3 3 3 4 4 4 7 8 8 10  when the median = (4 + 4) / 2 = 4.

Answer:

True.

Step-by-step explanation:

the range of 10 values is 10-3 = 7 so that is true

Answer:

no, its not

Step-by-step explanation:

you can find the decimals by dividing the numerator and the denominator

4/10 = 0.4

2/3 = 0.6666666......

so the values are obviously different

Answer:

648 cups, 3 fluid ounces

Step-by-step explanation:

You need to know that 1 cup = 8 fluid ounces (fl. oz).

convert to fl. oz:

1296 cups = 10368 fl.oz.

total fl.oz. = 10368+6 = 10374

10374 / 2 = 5187 fl.oz.

= 648 cups and 3 fluid ounces

Answer:

-8x + 3

Step-by-step explanation:

Answer:

$12.49

Step-by-step explanation:

cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98

cost of one purse = $24.98 ÷ 2 = $12.49

Answer:

Sorry but this makes no scine sorry

Explanation

-1.25+2.5=1.25

Answer:

1.25 is the answer .......

Step-by-step explanation:

hello will u be friend with me

The probability that a student is a female given that they have an A is 0.2

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

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Answer:

The probability is 13.33%

Step-by-step explanation:

Probability

The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).

The formula to calculate the probability is:

[tex]\displaystyle P=\frac{f}{n}[/tex]

Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.

The probability that the next roll is a five is:

[tex]\displaystyle P=\frac{24}{180}[/tex]

Simplifying:

[tex]\displaystyle P=\frac{24}{180}[/tex]

[tex]\displaystyle P=\frac{2}{15}[/tex]

Dividing:

[tex]\displaystyle P=0.1333 = 13.33\%[/tex]

The probability is 13.33%

Answer:

2

Step-by-step explanation:

Answer:

First the line is positive so you can eliminate all negative choices for slope

Now start from a random point that lands on the graph

Now it can’t be 1 becuase it has am extra box but that line isn’t on a point

Now 1/2 it can’t be becuase if you rise 1 and go right 2 it’ll not land ona. Point

But for 2, you rise up 2 and right 1 and you land on a point on the graph so the final answer is 2