if f(x) =2x-1 and g(x)=x^2-3x-2, fins (f+g)(x)

Answer: B

Step-by-step explanation:

To know the inequality, we can divide the numbers on each side to see what belongs in the middle.

0.67 ? 0.80

We can see that 0.67 is smaller than 0.8. Therefore, the inequality should be <.

0.67<0.8

Question Correction

Evelyn packed this box with 1 inch cubes. Which expression does not show how Evelyn can find the volume of the box?

Answer:  

(C) 2 + 3 + 6

Step-By-Step Explanation

In the diagram,  

Volume  = Height X Length X Width

= 6 X 2 X 3

=36 cubic units

Consider the options:

(A)6+6+6+6+6+6 =36 cubic units

(B) 2 X 3 X 6 =36 cubic units

(C) 2 + 3 + 6 = 11 cubic units

(D) 6 X 6 =36 cubic units

Out of the option, that which is not equivalent to 36 cubic units is:

(C) 2+3+6

Therefore, it does not show how Evelyn can find the volume of the box.

Answer:

2+3+6

Step-by-step explanation:

i just did it

Answer:

D. d = [tex]\sqrt{58}[/tex]

Step-by-step explanation:

Use the distance formula: d = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2} }[/tex]

The two points are (6, -2) and (3, -9)

Plug the values into the formula:

d = [tex]\sqrt{(3 - 6)^{2}+ (-9 + 2)^{2} }[/tex]

Simplify

d = [tex]\sqrt{(-3)^{2}+ (-7)^{2} }[/tex]

d = [tex]\sqrt{9+ 49 }[/tex]

d = [tex]\sqrt{58}[/tex]

I hope this helps :))

Answer: 7.2 inches

Step-by-step explanation:

3/4th of 8 feet = 6 ft.

Balance = 2 feet

1/3 of 2 feet = 2/3 = 0.67 ft = 8 inches

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

The question is incomplete:

The probability distribution is:

x   P(x)

0   0.30

1    0.40

2   0.20

3   0.06

4   0.04

The mean can be calculated as:

[tex]M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14[/tex]

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

[tex]s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04[/tex]

Answer:

mean: 1.14; standard deviation: 1.04

Step-by-step explanation:

Answer:

D. 120

Step-by-step explanation:

Array formula: A (n, p) = n! / (n -p)!

At where:

 n = Total number of elements in the set.

p = Quantity of elements per arrangement

A (5.5) = 5! / (5-5)! = (5x4x3x2x1) / 0!

By definition: 0! = 1

Then: 120/1 = 120

Answer:The line of reflection is the y axis

Step-by-step explanation:

Steps:

Add 47.52 to both sides

Divide both sides by 1.16

x= 98

Description:

The first step is to add 47.52 to both sides then simplify it then divide the both sides by 1.16. And your answer will equal as x=98.

Answer: x= 98

Please mark brainliest

Hope this helps.

Answer:

3√45

= 9√5

= 20.12461

Answer:

[tex]9\sqrt{5}[/tex]

Step-by-step explanation:

To simplify this radical, you want to first find the prime factorization of the radicand, which happens to be 45.

The lowest square root factor of 45 is 3.

Now, the radical looks like this:

[tex]\sqrt{3^2\cdot \:5}\\=\sqrt{5}\sqrt{3^2}[/tex]

Of course, The square root of a squared number is still the same number so...

[tex]=3\sqrt{5}[/tex]

Now, we aren't done here, as the 3 which was multiplied by the square root of 45 is still existent so...

[tex]=3 \cdot 3\sqrt{5} \\=9\sqrt{5}[/tex]

#SpreadTheLove<3

Answer:

Below in bold.

Step-by-step explanation:

A).  9.9^2 is close to 10^2 = 100

Round 1.79 to 1.8

So an estimate is 1.8 * 100

= 180.

B).  √97.5 / 1.96

( I am assuming that the square root is of 97.5 only).

is approximately equal to √100 / 2

= 10/2

= 5.

Answer:

D. SSS theorem

Step-by-step explanation:

The triangles have similarity by 3 sides:

So the answer is SSS

Answer:5. 291503

Step-by-step explanation:

√28

2√7

5. 291503

Answer:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84[/tex]  

And rounded up we have that n=1076

Step-by-step explanation:

Information given

[tex]ME= 0.025[/tex] represent the desired margin of error

Solution

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by  and . And the critical value would be given by:

[tex]t_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

We can assume that the best estimate for the true proportion is [tex]\hat p=0.5[/tex]. And on this case we have that [tex]ME =\pm 0.025[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84[/tex]  

And rounded up we have that n=1076

Answer:1260

Step-by-step explanation:

Kissing has 7 letters, and there are 2 paris of the same letter.

[tex]\frac{7!}{2!2!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{4}[/tex]= 1260

Answer:

4 : 3

Step-by-step explanation:

16 : 12 can be simplified by 4 to get 4 : 3

Answer:

[tex]4:3[/tex]

Step-by-step explanation:

[tex]16 : 12[/tex]

The common highest factor of the ratio is 4.

Simplify the ratio.

[tex]16 \div 4:12 \div 4[/tex]

[tex]4:3[/tex]

Answer:

-56/9

Step-by-step explanation:

By Vieta's formulas,

$r + s = -\frac{4}{3}$ and $rs = \frac{12}{3} = 4.$ Squaring the equation $r + s = -\frac{4}{3},$ we get

$r^2 + 2rs + s^2 = \frac{16}{9}.$ Therefore,

$r^2 + s^2 = \frac{16}{9} - 2rs = \frac{16}{9} - 2 \cdot 4 = -\frac{56}{9}}$

Answer:

105

Step-by-step explanation:

1h and 15 minutes is 75 minutes so

30+75=

70+30=100

100+5=105

Answer:

105

Step-by-step explanation:

I copied the other dude

Answer:

15x^4+2x^3-8x^2+2x-15

Step-by-step explanation:

Answer:

22.11 miles per gallon

Step-by-step explanation:

1 km = 0.621371 miles

1 litre = 0. 264172 gallon

Given

Mileage of car =  9.4 Milometers per liter of gasoline

Mileage of car = 9.4 Km/ litres

now we will use 0.621371 miles for Km and 0. 264172 gallon for litres

Mileage of car = 9.4 * 0.621371 miles/ 0. 264172 gallon

Mileage of car = 9.4 * 2.3521 miles/ gallon

Mileage of car = 22.11  miles/ gallon

Thus, 9.4 Km/litres is same as 22.11 miles per gallon.

Answer:

1.3888888 ft^3

Step-by-step explanation:

We need to find the volume

V = l*w*h

V = 24*10*10

V =2400 in^3

We want cubic ft

Divide by 12 for each foot

12*12*12 = 1728 ft^3

2400/1728 =1.3888888 ft^3

Answer:

[tex] = 1.388889 {ft}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 10 \times 24 \times 10 \\ = 2400 {in}^{3} [/tex]

we know that,

[tex]1 \: \: in = 0.833333ft \\ x = 2400 \\ use \: \: cross \: \: \: multipication \\ 2400 = 0.833333x \\ \frac{2400}{0.833333} = \frac{0.833333x}{0.833333} \\ x = 1.388889 {ft}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

μ = 9.504

Step-by-step explanation:

I get complete question that is x is a normally distributed random variable with a standard deviation of 4.00. find the mean of x when 64.8% of the area lies to the left of 11.02

given data

standard deviation = 4

solution

we know that that

X ∞ Normal ( μ , 4²)     ...............1

so Probability P will be express as

P ( X < 11.02 ) = 64.8%

so here

P ( Z < [tex]\frac{11.02- \mu }{4}[/tex] ) = 0.648

Z for 0.648  = [tex]\frac{11.02- \mu }{4}[/tex]  

0.379 = [tex]\frac{11.02- \mu }{4}[/tex]  

solve it we get

μ = 9.504

Answer:

a) Standard error of the mean = 1.433 mm

b) 99% confidence interval = (12.6, 22.2)

c) The precision of the estimate = 4 816

d) The assumptions that are necessary for the validity of the conidence interval constructed include

- The sample must be a random sample extracted from the population, with each variable in the sample independent from one another.

- The sample must be a normal distribution sample or approximate a normal distribution and the best way to establish this is when the population distribution where the sample was extracted from is normal or approximately normal.

Step-by-step explanation:

a) Standard error of the mean is given as

σₓ = (σ/√n)

σ = Sample standard deviation = 4.3 mm

n = sample size = 9

σₓ = (4.3/√9) = 1.433 mm

b) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 17.4 mm

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 9 - 1 = 8.

Significance level for 99% confidence interval

(100% - 99%)/2 = 0.5% = 0.005

t (0.005, 8) = 3.36 (from the t-tables)

Standard error of the mean = 1.433 mm

99% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 17.4 ± (3.36 × 1.433)

CI = 17.4 ± 4.816

99% CI = (12.584, 22.216)

One crate orė

99% Confidence interval = (12.584, 22.216)

c) The precision of the estimate is gven as the length of the, margin of error of the confidence interval. The precision of the estimate = 4.816

d) They include

- The sample must be a random sample extracted from the population, with each variable in the sample independent from one another.

- The sample must be a normal distribution sample or approximate a normal distribution and the best way to establish this is when the population distribution where the sample was extracted from is normal or approximately normal.

Hope this Helps!!!

Answer: 6 and -1/6

Step-by-step explanation:

solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

Answer:

1) 2

2) -1/2

Step-by-step explanation:

1) 3y= 6x+9

y= 2x+3

Slope is 2

Parallel line "t" has the same slope, it will have equation:

y= 2x+b

2) y =2x+3

Perpendicular line"r" has a slope opposite-reciprocal to this, so the slope will be -1/2, the equation for line"r" is:

y= -1/2x +b

The gradient of the line is same as slope and it is -1/2 for line"r"

-4.8 * 3.2 [least],

4.32/3,

-2 3/5 - (-1 2/5),

2 1/4 + (-1 2/5) [greatest]

Step-by-step explanation:

-4.8 * 3.2 = -15.36

4.32 / -3 = -1.44

-2 3/5 - (-1 2/5) = -2 3/5 + 1 2/5 = -2.6 + 1.4 = -1.2

2 1/4 + (-1 2/5) = 2 5/20 - 1 8/20 = 17/20 = 0.85

Answer:

a) 1.93

b) 97.32% of men are SHORTER than 6 feet 3 inches

c) 2.71

d) 0.34% of women are TALLER than 5 feet 11 inches

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

For man, [tex]\mu = 69.8, \sigma = 2.69[/tex]

A feet has 12 inches, so this is Z when X = 6*12 + 3 = 75. So

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

[tex]Z = \frac{75 - 69.8}{2.69}[/tex]

[tex]Z = 1.93[/tex]

b. What percentage of men are SHORTER than 6 feet 3 inches?

Z = 1.93 has a pvalue of 0.9732

97.32% of men are SHORTER than 6 feet 3 inches

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

For woman, [tex]\mu = 64.1, \sigma = 2.55[/tex]

Here we have X = 5*12 + 11 = 71.

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

[tex]Z = \frac{71 - 64.1}{2.55}[/tex]

[tex]Z = 2.71[/tex]

d. What percentage of women are TALLER than 5 feet 11 inches?

Z = 2.71 has a pvalue of 0.9966

1 - 0.9966 = 0.0034

0.34% of women are TALLER than 5 feet 11 inches

Answer:

Degree: 4; Type: quartic; Leading coefficient: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will use the reduction of order to solve this equation. At first, we need a solution of the homogeneus solution.

Consider the equation [tex]y''+2y'+y=0[/tex] We will assume that the solution is of the form [tex]y=Ae^{rx}[/tex]. If we plug this in the equation, we get

[tex]Ae^{rx}(r^2+2r+1)=0[/tex]

Since the exponential function is a positive function, and A should be different to zero to have non trivial solutions, we get

[tex]r^2+2r+1=0[/tex]

By using the quadratic formula, we get the solutions

[tex]r= \frac{-2\pm \sqrt[]{4-4}}{2}=-1[/tex]

So one solution of the homogeneus equation is of the form [tex]y=Ae^{-x}[/tex]. To use the reduction of order assume that

[tex] y = v(x)y_h[/tex]

where [tex]y_h = Ae^{-x}[/tex]. We calculate the derivatives and plug it in the equation

[tex] y' = v'y_h+y_h'v[/tex]

[tex]y'' = v''y_h+v'y_h'+y_h'v'+y_h''v = v''y_h+2v'y_h+y_h''v[/tex]

[tex](v''y_h+2v'y_h'+y_h''v)+2(v'y_h+y_h'v)+vy_h = 0[/tex]

If we rearrange the equation we get

[tex]v''y_h+(2y_h'+2y_h)v'+v(y_h''+2y_h'+y_h)=0[/tex]

Since [tex]y_h[/tex] is a solution of the homogeneus equation we get

[tex]v''y_h+(2y_h'+2y_h)v'=0[/tex]

If we take w = v', then w' = v''. So, in this case the equation becomes

[tex]w'y_h+(2y_h'+2y_h)w=0[/tex]

Note that [tex]y_h' = -1y_h[/tex] so

[tex]w'y_h=0[/tex]. Since [tex]y_h[/tex] cannot be zero, this implies

w' =0. Then, w = K (a constant). Then v' = K. So v=Kx+D where D is a constant.

So, we get that the general solution is

[tex] y = vAe^{-x} = (Kx+D)Ae^{-x} = Cxe^{-x} + Fe^{-x}[/tex] where C, F are constants.

Answer:

r = -10*cos(t)

Step-by-step explanation:

To write the rectangular equation in polar form we need to replace x and y by:

[tex]x=r*cos(t)\\y=r*sin(t)[/tex]

Replacing on the original equation, we get:

[tex](x+5)^2+y^2=25\\x^2+10x+25+y^2=25\\(r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25[/tex]

Using the identity [tex]sin^2(t)+cos^2(t)=1[/tex] and solving for r, we get that the polar form of the equation is:

[tex](r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25\\r^2cos^2(t)+10rcos(t)+r^2sin^2(t)=0\\r^2cos^2(t)+r^2sin^2(t)=-10rcos(t)\\r^2(cos^2(t)+sin^2(t))=-10rcos(t)\\r^2=-10rcos(t)\\\\r=-10cos(t)[/tex]