Find an equation in slope-intercept form of the line that has slope 9 and passes through point A(-9, -1).

Answer:

1.5

Step-by-step explanation:

5/8 + 7/8= 1.5 or 1  1/2

Answer:

Read below.

Step-by-step explanation:

First fridge: [tex]\frac{8}{8} -\frac{5}{8} =\frac{3}{8}[/tex]

Second fridge: [tex]\frac{8}{8} -\frac{1}{8} =\frac{7}{8}[/tex]

[tex]\frac{7}{8} +\frac{3}{8} = \frac{10}{8} = 1 \frac{2}{8}=1\frac{1}{4}[/tex]

Combined [tex]1 \frac{1}{4}[/tex] fridge space is left.

Answer: A 1/10

Step-by-step explanation: edge 2021

Answer:

A. 9 miles

Step-by-step explanation:

if you flip one of the sides to be to be diagonal then it is the same length as the road.

Answer:

Step-by-step explanation:

Given infinite geometric series

We see that

Sum of the series

Answer:5/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

H₀: u = 50

H₁: u ≠ 50

Null hypothesis: The production line produce bags of candy has an average of exactly 50 candies per bag.

Alternative hypothesis: The production line produce bags of candy does not have an average of exactly 50 candies per bag.

Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample mean is too big or if it is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 1.0

Test Statistic

t = (x - u) / SE

t = - 2.0

DF = n - 1

D.F = 24

where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.

Since we have a two-tailed test, the P-value is the probability that the t statistic having 24 degrees of freedom is less than -2.0 or greater than 2.0.

Thus, the P-value = 0.057

Statistic result

Interpret results. Since the P-value (0.057) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test we have sufficient evidence in the favor of the claim that the production line produce bags of candy with an average of exactly 50 candies per bag.

Answer:

1) [tex]0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588[/tex]    

[tex]0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219[/tex]    

b) [tex] ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653[/tex]

And we want 2/3 of the margin of error so then would be: [tex] 2/3 ME = 0.00001111[/tex]

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]    (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

[tex]n=(\frac{z_{\alpha/2} s}{ME})^2[/tex]   (2)

Replacing we got:

[tex]n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12[/tex]

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

[tex]\bar X=0.0826052[/tex] represent the sample mean

[tex]\mu[/tex] population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size  

Part 1

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom, given by:

[tex]df=n-1=5-1=4[/tex]

The Confidence level is 0.95 or 95%, and the significance would be [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the critical value would be using the t distribution with 4 degrees of freedom: [tex]t_{\alpha/2}=2.776[/tex]

Now we have everything in order to replace into formula (1):

[tex]0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588[/tex]    

[tex]0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219[/tex]    

Part 2

The original margin of error is given by:

[tex] ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653[/tex]

And we want 2/3 of the margin of error so then would be: [tex] 2/3 ME = 0.00001111[/tex]

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]    (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

[tex]n=(\frac{z_{\alpha/2} s}{ME})^2[/tex]   (2)

Replacing we got:

[tex]n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12[/tex]

So the answer for this case would be n=12 rounded up to the nearest integer

Answer:

a) 332640 ways

b) 462 ways

Step-by-step explanation:

Order:

If the order of the choices matters, we use the permutations formula. If they do not matter, we use the combinations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

Combinations formula:

[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]

In this question:

6 objects, from a set of 11.

a) Order matters, so permutation.

[tex]P_{(11,6)} = \frac{11!}{(11-6)!} = 332640[/tex]

b) Order does not matter, so combinations.

[tex]C_{11,6} = \frac{11!}{6!(11-6)!} = 462[/tex]

Answer:

x =  ±sqrt(3/2)

Step-by-step explanation:

10x^2 - 6 = 9

Add 6 to each side

10x^2 - 6+6 = 9+6

10x^2 =15

Divide each side by 10

10x^2/10  = 15/10

x^2 = 3/2

Take the square root of each side

sqrt(x^2) = ±sqrt(3/2)

x =  ±sqrt(3/2)

Answer:

9

Step-by-step explanation:

First lets find g(2) because thats inside the f equation.

g(x) = 2x-x^3

g(2) = 2(2) - (2)^3

g(2) = 4 - 8

g(2) = - 4

So now we are finding

f(g(2)) => f(-4)

f(x) = x^2 - 7

f(-4) = (-4)^2 - 7

Remember, because the square is outside the parentheses due to us plugging in a value, it becomes positive

f(-4) = 16 - 7

f(-4) = 9

Answer:

B-91%

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: arriving home after 7 p.m.

Event B: getting home by bus.

When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.

This means that [tex]P(A|B) = 0.25[/tex]

Because the bus is cheaper, he uses the bus 70 percent of the time.

This means that [tex]P(B) = 0.7[/tex]

Probability of getting home after 7 p.m.

70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.

100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.

So

[tex]P(A) = 0.7*0.25 + 0.3*0.06 = 0.193[/tex]

What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?

[tex]P(B|A) = \frac{0.7*0.25}{0.193} = 0.9067[/tex]

Rouding up, 91%.

So the correct answer is:

B-91%

Answer:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Step-by-step explanation:

For this case we have the following probability distribution given:

X       0     1      2     3

P(X)  0.1  0.3  0.4  0.2

And for this case the expected value with the following formula:

[tex] E(X) =\sum_{i=1}^n X_i P(X_i)[/tex]

And replacing we have:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

The explanation below should guide you to solve it's

Step-by-step explanation:

x2 + y2 - 14x -18y +105 =0

Now the standard form a the equation of a circle is

(X-Xo)2 + (y-yo)2 = r2

The above expressions becomes

x2- 14x + (-14/2)2 - (- 14/2)2 + y2 -18y + (-18/2)2 - (-18/2)2 + 105 =0

The above manipulation does not alter the equation and it's a way of forming squares of a quadratic equation.

(x - 7)2 + (y - 9)2 -49 - 81 + 105 = 0

(x - 7)2 + (y - 9)2 -130 + 105 = 0

(x - 7)2 + (y - 9)2 -25 = 0

(x - 7)2 + (y - 9)2= 25

From the analysis above you can determine the centres of the circle denoted by Xo and Yo as well as the radius which is the square root of the expression at the right

Answer:

5/y-3z

Step-by-step explanation:

Quotient is division

Product is multiplication

please mark brainliest

The equivalent value of the expression is A = 5/y - 3z

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = quotient of 5 and y, decreased by the product of 3 and z

Now , quotient of 5 and y = 5/y

And , product of 3 and z = 3z

So , On simplifying the expression , we get

A = 5/y - 3z

Hence , the equation is A =  5/y - 3z

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Answer:

We can replace the 'm' with the value of 'm' on the table to get the value of 't'.

Using the equation [tex]t=0.5m+15[/tex] from the first part of the question to complete the table:

[tex]t=0.5(5)+15\\\rightarrow 0.5*5 = 2.5\\t=2.5 + 15\\t=17.5[/tex]

[tex]t=0.5(15)+15\\\rightarrow 0.5 * 15 = 7.5\\t=7.5+15\\t=22.5[/tex]

Hope this helps.

Answer:

$65,000 , $50,000 and $35,000

Step-by-step explanation:

Lets us assume the CDs be C, stocks be S and Bonds be B

Given that

Total scholarship fund received = $150,000

i.e

C + S + B = $150,000 ......................... (1)

Now the each items invested percentage is given

And, the annual income from investment is $10,805

So, the next equation is

0.06C + 0.022B + 0.117S = $10,805 ....................... (2)

And, it is mentioned that

The $15,000 more in bonds than in CDs

B = C + $15,000 ........................ (3)

Now put the equation 3 in equation C is

2C + S = $135,000  ........................... (4)

0.082C + 0.117S = $10,475 ........................... (5)

Now multiply the 0.117S in equation 4

So

0.234C + 0.117S = $15,795

0.082C + 0.117S = $10,475

After solving this

0.152C = $5,320

C = CDS = $35,000

So

B = $35,000 + $15,000

B=   Bonds = $50,000

And S = Stock = $65,000

Answer:

CDs = 35000, Bonds = 50000, Stock = 65000

Step-by-step explanation:

Let amount invested in : CDs be 'C' , stock be 'S' , bonds be 'B'

As per total funds : C + B + S = 150000 [E1]

As per interest rates : 0.06C + 0.022B + 0.117S = 10805 [E2]

Given (15000 more invested in bonds than CDs :  B = C + 15000 [E3]

Putting equations : [E3] in [E2] & [E1]

C + (C+15000) + S = 150000 → 2C + 15000 + S = 150000

0.06C+0.022(C+15000)+0.117S = 10805 → 0.06C+0.022C+330+0.117S = 10805

By putting value of S from [E4] in [E5] :

0.082C + 0.117 (135000 - 2C) = 10475 → 0.082C + 15795 - 0.234C = 10475

5320 = 0.152C  → C = 5320 / 0.152 = 35000 [CDs]

B = C + 15000 = 35000 + 15000 = 50000 [Bonds]

By [E1]: 35000+50000+S = 150000 → S = 150000 - 85000 = 65000 [Stocks]

Answer:

See explanation below.

Step-by-step explanation:

To make use of the tools they give you, start at the point (-5, -2) which you know is a point the line goes through, then draw a line that goes towards the right following the rule given by the slope "1/2" (rise/run) which means that every 2 units to the right, you go one unit up. so from the point -5 in x, you go to the point -3 in x, and from -2 in y you move up one unit to -1

Therefore the line joins (-5, -2) to the point (-3, -1)

Answer:

The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.

Step-by-step explanation:

We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane

In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.

The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.

This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).

Answer:

c. point c

Step-by-step explanation:

Answer:

C                      

Step-by-step explanation:

Answer: 40°

Step-by-step explanation: angle XYW is 50°.XYW is made up of two angles XYZ and ZYW

So, XYZ+ZYW= XYW (equation 1)

Given XYZ= 10° and XYW= 50°

10°+ZYW= 50° (substituting the values of equation 1)

ZYW= 50-10

ZYW= 40°

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:-1.125

Step-by-step explanation:

Answer:

x=35

Step-by-step explanation:

62+2x+(x+13)=180

62+2x+x+13=180

3x+75=180

3x=180-75

3x=105

x=35

Answer:

60000

Step-by-step explanation:

8572x7= 60004...

Rounded to the nearest 10 (Which I assume you wanted to happen) is: 60000

[If I am wrong I am very sorry, please message me]

Answer:

36

Step-by-step explanation:

15 divided by 5 would = 3

3 is the cost of 1 cupcake

3 x 12 is 36

Answer:

36

Step-by-step explanation:

The pattern is times 3 so 12 times 3 is 36

Answer:

I think it’s 240

Step-by-step explanation:

Hope this helps

Answer:

approx. 11.18 ft.

Step-by-step explanation:

formula: d=√L²+W²+H²

d=√5²+6²+8²

5²+6²+8²=125

√125 ≈ 11.18 ft

d(diagonal)= 11.18ft

Answer:

Step-by-step explanation:

The number of times that each song is played is reducing in arithmetic progression. We would determine the total number of time for plating all the songs in a week by applying the formula for determining the sum of the n terms in an arithmetic sequence. It is expressed as

Sn = n/2(2a + (n - 1)d

Where

d represents the common difference

n represents the number of terms

a represents the first term of the sequence

Sn represents the sum of n terms if the sequence.

From the information given,

a = 60

n = 60

d = - 1

Sn = 60/2(2 × 60 + (60 - 1)-1)

Sn = 30(120 - 59)

Sn = 1830 times

The 60 songs are played for 1830 times in a week. If each song takes 3 minutes to play, then the total time taken to play the songs for 1830 times in a week is

3 × 1830 = 5490 minutes

7 days = 1 week

24 hours = 1 day

60 minutes = 1 hour

The number of minutes in a week is

7 × 24 × 60 = 10080 minutes

The station also has 24 ten-minute news breaks each day. The number of minutes of break for each day is

24 × 10 = 240 minutes

The amount of break time in a week is

240 × 7 = 1680 minutes

If the remaining minutes is meant for advertising, then the number if minutes available for advertising is

10080 - (5490 + 1680) = 2910 minutes

1 minute = 60 seconds

2910 minutes = 2910 × 60 = 174600 seconds

If the station charges $100 for every 30 seconds of advertising, then the amount that they take in each week(for 174600 seconds) is

(174600 × 100)/30 = $5820000

Answer:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Right skewed

Mean $206,274

Standard deviation $37,881.

Sample:

By the Central Limit Theorem, approximately normal.

Mean $206,274

Standard deviation [tex]s = \frac{37881}{\sqrt{100}} = 3788.1[/tex]

So the correct answer is:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.

Given :

According to the central limit theorem the approximately normal mean is $206274.

Now, to determine the approximately normal standard deviation, use the below formula:

[tex]s =\dfrac{\sigma }{\sqrt{n} }[/tex]   ---- (1)

where 's' is the approximately normal standard deviation, 'n' is the sample size, and [tex]\sigma[/tex] is the standard deviation.

Now, put the known values in the equation (1).

[tex]s = \dfrac{37881}{\sqrt{100} }[/tex]

s = 3788.1

[tex]\rm s \approx 3788[/tex]

So, the correct option is A).

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Answer:

Step-by-step explanation:

Regression analysis is a statistical method that is used to examine the relationship between two or more variables.

There are many types of regression analysis which can be used to  examine the influence of one or more independent variables on a dependent variable.

to carry out regression analysis the analyst must carry out the following

Some of the various types of regression models are

The things that should be done before performing a regression analysis include:

It should be noted that a regression analysis simply refers to a statistical method which examines the relationship between two or more variables.

To do a regression analysis, plot the given data or information graphically and then obtain the line of best fit.

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Answer:The correct answer for the given mathematics question above would be f < g. The interval wherein the value of (f-g)(x) is negative is f < g. A function is negative on intervals when the graph line lies below the x-axis. On the other hand, a function is positive on intervals when the graph line lies above the x-axis. 

Step-by-step explanation:

Answer:

Congruent

Step-by-step explanation:

Answer:

I think is congruent, but I m not sure

Answer:

10

Step-by-step explanation:

Take 4 times 2.5 since 25 / 10 = 2.5

4 x 2.5 = 10