In an analysis of variance problem if SST = 120 and SSTR-80, then SSE is
a. 200
b. 40
c. 80
d. 120

Each right triangle has a missing value of 1.9096 where = angle, O = opposing side, A = adjacent side, and H = hypotenuse.

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangle triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

given,

1.9096 is what's lacking.

SOH CAH TOA's identification would appear to be:

The opposite or hypotenuse of sin

Sinθ = O/H

the following being spoken

H = 11 \sin θ = 0.1736

To replace having, use:

0.1736 = O/11

O = 11 * 0.1736

O = 1.9096

the missing value is 1.9096.

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The amount for handle soend on Christmas present will be 240.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Hadlee spent 1/4 of her money on Christmas presents she had 180 remaining.

Now,

Since, Hadlee spent 1/4 of her money on Christmas presents she had 180 remaining.

Let the amount for handle soend on Christmas present = x

Hence, The amount for handle soend on Christmas present will be;

⇒ x - 1/4x = 180

⇒ 3/4x = 180

⇒ 3x = 180 × 4

⇒ 3x = 720

⇒ x = 240

Thus, The amount for handle soend on Christmas present will be 240.

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The equation of the line is y = 1/5(x + 37). The standard equation of a instantly line is y = mx + c, in which m is the gradient, and y = c is the cost in which the road cuts the y-axis.

This range c is known as the intercept at the y-axis. The equation of a instantly line with gradient m and intercept c at the y-axis is y = mx + c. The equation of a instantly line is y=mx+c y = m x + c m is the gradient and c is the peak at which the road crosses the y -axis, additionally referred to as the y -intercept.

Since equation have new line which is parallel  y = 1/5(x + 4), and 1/5 is most the gradient for the line y = 1/5(x + 4), this is the new line is 1/5.

Using the equation we can form a line in slope-point form,

[tex]\frac{y-y_{1} }{x-x_{1} } = m[/tex]

where (x₁, y₁) = (3, 8) and m = 1/5

Substituting the values for all variables into the equation, we have

[tex]\frac{y-y_{1} }{x-x_{1} } = m\\\frac{y-8 }{x-3 } = m\\[/tex]

Cross-multiplying. we have

5(y - 8) = x - 3

Expanding the bracket, we have

5y - 40 = x - 3

5y = x - 3 + 40

5y = x + 37

y = 1/5(x + 37)

So, the equation of the line is y = 1/5(x + 37)

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The equation of the line that passes through the point (-1,2) and has a slope of -1, in point-slope form is: y - 2 = -1(x + 1).

If we know one point (a, b), that a line passes through and its slope (m), we can write the equation of that line in point-slope form as y - b = m(x - a).

Given the following:

A point (a, b) = (-1, 2)

The slope of the line (m) = -1

To write the equation of the line, substitute m = -1, a = -1, and b = 2 into y - b = m(x - a):

y - 2 = -1(x - (-1))

y - 2 = -1(x + 1).

The answer is: y - 2 = -1(x + 1).

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Answer: The first pair of equations, i.e., −3.2x=0.64 and x/4 =−0.05, have exactly the same solution. In both of these equations, the value of x comes out as -0.2.

Step-by-step explanation: Simplifying the first set of equations, we get:[tex]-3.2x=0.64[/tex]

[tex]x=0.64/-3.2[/tex]

x=-0.2

 [tex]x/4=-0.05[/tex]

[tex]x=-0.05*4[/tex]

x=-0.2

Simplifying the second set of equations, we get:

[tex]3/8x=1[/tex]

[tex]x=8/3[/tex]

x=2.66

[tex]1/3x=1/8[/tex]

[tex]x=1/8*3[/tex]

x=0.375

Simplifying the third set of equations, we get:

[tex]x/3.2=1.8[/tex]

[tex]x=1.8*3.2[/tex]

x=5.76

[tex]1.8x=3.2[/tex]

[tex]x=3.2/1.8[/tex]

x=1.77

Simplifying the fourth set of equations, we get:

[tex]-3/4x=5/2[/tex]

[tex]x=5/2*-4/3[/tex]

x=-3.33

[tex]5/2x=-3/4[/tex]

[tex]x=-3/4*2/5[/tex]

x=-0.3

Therefore, the first pair of equations, i.e., −3.2x=0.64 and x/4 =−0.05 have exactly the same solution.

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The test statistic is less than - 1.796

Hypothesisi test

H0: μ = 46

Ha: μ < 46

This is a lower tailed test

mean = 42

standard deviation = 11.9

sample size n = 12

The level of significance α = 0.05

degree of freedom df = n - 1 = 12 - 1 = 11

Test statistic = (x - mean)/(standard deviation / √n) = (42 - 46)/(11.9 / √12) = - 1.164

Test statistic = - 1.164

Using t- table, we can observe that the p - value is between 0.10 and 0.15

Using excel we find p - value = P(t < - 1.796)

p value = 0.1344

H0: μ < 46, rejection rule is

Reject H0 if test statistic < - 1. 796

Therefore, we reject the hypothesis as the test statistic is less than - 1.796

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Particular solution for the equation a. Y" – 6y + 5y = 5x2 + 3x – 16 – 9223 is

5y = -15e²⁷ - 23/5

Particular solution for b. y" – 6y' + 5y = -10x2 - 6x + 32 +622 is 5y = 8x+ 218

Given:

y= 3e²⁷ (Solution 1)

Y = x² + 3x (Solution 2)

y" - 6y' + 5y = -9222 (Equation 1)

y" - 6y' + 5y = 5x² + 3x – 16  (Equation 2)

Where [tex]y^{"}[/tex] represents the double derivative(d²y) of y and [tex]y^{'}[/tex] represents the first derivative(dy) of the equation y.

Find Solutions for:

a. Y" – 6y + 5y = 5x² + 3x – 16 – 9223

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

y= 3e²⁷ (Solution 1)(Given in the question)

Taking derivative on both sides

by = 3 de²⁷

∵ e²⁷  is constant in comparison to dy the derivative will be 0. Thus, d²y of y is also equal to zero

Then, putting values in the equation 1

- 6y' + 5y + y" = -9222 (Equation 1)

(0) - 6(0) +5(3e²⁷) = -9222

Thus, 15e²⁷ = -9222

5e²⁷ = -3074

e²⁷ = -614.8

Y = x² + 3x (Solution 2)(Given in the question)

Taking derivative on both sides

dY/dx= 2x + 3 -(iii)

taking derivative of y'

d²Y/dx² = 2

∵ 3 is a constant in dy/dx.

Then, putting values in the equation 2

y" -+ 5y - 6y'  = 5x² + 3x - 16

(2) - 6(2x + 3) +5y = 5x² + 3x - 16 + 12x - 12x

2 - 12 + 18x + 5y = 5x² +15x - 16 -12x

-10 + 18x - 15x + 5y = 5y -16 -12x

3x + 12x =10 - 16

15x = -6

x= -2/5

Putting values of x, y, dy and  d²y in equations (i) & (ii)

a. Y" – 6y + 5y = 5x² + 3x - 16 – 9223

(2)  -6(2x+3) + 5y = 5x² + 3x - 16 - 9223 + 12x - 12x

2 - 12x -18 + 5y = 5y - 9223 - 16 - 12x

2 + - 18 + 5y -6/5 -(9222 + 1)

2 + 24-6/5 + 5y + 15e²⁷ - 1 = 0

5y + 15e²⁷ + 18/5 + 1= 0

5y + 15e²⁷ + 23/5= 0

5y = -15e²⁷ - 23/5

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

(0) -6(0) + 5y = -10x² - 6x +654

5y = -10x² - 6x -24x + 24x + 654

5y = -10(x² + 3x) +24x + 654

5y = -10y + 24x + 654

5y +10y = 24x + 654

15y=24x+654

5y = 8x+ 218

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Answer:

1.478 kg

Step-by-step explanation:

Considering density=mass/volume, when we rearrange, we get mass=density*volume. Therefore, as we are given the density, we just need to find the volume to know the mass. The volume of a cylinder is πhr^2, and our radius is 28/2=14, so the volume of the cylinder is π*3*14^2=588π. Then, 588π*0.8=470.4π which is about 1477.8052 g. Then, to convert to kg, we can divide this by 1000 and get about 1.478 kg.

Answer:

m∠B = 121°

Step-by-step explanation:

[tex]10x-19=9x-5[/tex]  

[tex]10x=9x+14[/tex]  (add 19 on both sides)

[tex]x=14[/tex]  (subtract 9x on both sides)

[tex]9(14)-5 = 126-5=121[/tex]  

Answer: m∠B=121°

Step-by-step explanation:

The opposite angles of the parallelogram are equal

Hence,

(10x-19)°=(9x-5)°

10x-19=9x-5

10x-19-9x=9x-5-9x

x-19=-5

x-19+19=-5+19

x=14

Hence,

m∠B=(9(14)-5)°

m∠B=(126-5)°

m∠B=121°

You can select numerous impressions with the Tableau Lasso Selection tool by tracing a freehand shape around them.

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Lorenzo will take 4 classes total in first month. Also, his expense will be $15 and earning will be $79.

Given that:

Amount he spends = $94

His base salary = $79/ month

Additional amount = $ 3

Let x represents the money he earn for every one class.

we can no put it in a equation:

   79(1) + 3x = 94

⇒ 79 +3x = 94

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

Therefore, Lorenzo will take 4 classes total in first month. Also, his expense will be $15 and earning will be $79.

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Domain is the set of values under which a function is defined.

Range is the outcome of all the values of the domain when put in a function.

graphically, the domain is the set of values under which we get some value in the y-axis for a particular function graph .

while the range is the y-coordinate of all the points lying on the graph .

As the graph is not posted by you.

see this graph of the modulus function for instance:

        so,  R is the domain.

        but the range is only positive values of R in y.

        and,

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Answer: 8

Step-by-step explanation: Utilizing the POWER of order of operations we will multiply the 2 and 3 together first to get 6 and then add the 2 to get 8. Hope this helped :)

Answer: 8

Step-by-step explanation:

Parenthesis (Please)

Exponent (Excuse)

Multiplication (My)

Division (Dear)

Addition (Aunt)

Subtraction (Sally)

2x3= 6

6+2=8

On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

[tex]K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}[/tex]

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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Store B is offering the best unit rate for bananas.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

Grocery Store A is selling bananas for $0.75 for 12 pounds.

The unit rate will be = 0.75/12 = 0.06

Grocery Store B is selling 5 pounds of bananas for $3.75.

The unit rate will be = 3.75/5 = 0.75

Hence, Store B is offering the best unit rate for bananas.

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Answer:

Write in standard form.

2x+7y=−49

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

10 percent of 70 is 7

20 percent of 70 is 14

So 14 is your answer

Please vote brainliest

Thanks

Have a nice evening

Answer: All you would have to do is multiply 70 by 20% which is 14. So 14 7th graders are a total of the band.

Step-by-step explanation:

Answer:

3x-4=2x+7 thus: (D)

x = 11

Step-by-step explanation:

Solve for x:

3 x - 4 = 2 x + 7

Subtract 2 x from both sides:

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

3 x - 2 x = x:

x - 4 = (2 x - 2 x) + 7

2 x - 2 x = 0:

x - 4 = 7

Add 4 to both sides:

x + (4 - 4) = 4 + 7

4 - 4 = 0:

x = 7 + 4

7 + 4 = 11:

Answer: x = 11

___________________________

Solve for x:

4 - 2 (x - 5) = x - 19

-2 (x - 5) = -2 x + 10:

(-2 x + 10) + 4 = x - 19

Add like terms. 4 + 10 = 14:

-2 x + 14 = x - 19

Subtract x from both sides:

(-2 x - x) + 14 = (x - x) - 19

-2 x - x = -3 x:

-3 x + 14 = (x - x) - 19

x - x = 0:

-3 x + 14 = -19

Subtract 14 from both sides:

(14 - 14) - 3 x = -14 - 19

14 - 14 = 0:

-3 x = -14 - 19

-14 - 19 = -33:

-3 x = -33

Divide both sides of -3 x = -33 by -3:

(-3 x)/(-3) = (-33)/(-3)

(-3)/(-3) = 1:

x = (-33)/(-3)

The gcd of -33 and -3 is -3, so (-33)/(-3) = (-3×11)/(-3×1) = (-3)/(-3)×11 = 11:

Answer: x = 11

Answer:3x-4=2x+7

Step-by-step explanation:

first,  4-2x+10=x-19

        14+19 =x+2x

           33=3x

               x=11

A. 2x+10=8

    2x= -18

      x=-9

B. 3x-9=9

       3x=18

         x=6

C. x+2=2x-3

      3x = 5

         x = 5/3

D. 3x-4 = 2x+7

    3x-2x=7+4

          x=11

Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

Answer: 25 cars

Step-by-step explanation:

Take 10 divided by 8 = 1.25 car per men

Then take 1.25 times 20 = 25 cars

The required equation of the line having a slope of 33 and passing through (-3, - 3) is y = 33x + 96.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Let the required line be y = mx + b.

∴ - 3 = (33)(-3) + b.

- 3 = - 99 + b.

b = 96.

∴ y = 33x + 96 is the required line.

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The average acceleration is - 1.24 m/s². The result is calculated by using calculator. See the picture in the attachment!

Average acceleration is the rate of change in velocity per unit time. The formula can be expressed as

[tex]\overline{a} = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex]

Where

Calculate this average acceleration using calculator!

[tex]\overline{a} = \frac{-3.7 \: m/s \: - 13.9 \: m/s}{21.4 \: s- 7.2 \: s}[/tex]

See the picture in the attachment!

The average acceleration after rounding is

[tex]\overline{a} = -1.23943661972 \: m/s \: /s[/tex]

[tex]\overline{a} = -1.24 \: m/s^{2}[/tex]

Hence, the average acceleration from the data is - 1.24 m/s².

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On solving the provided question we can say that - the answer is 552 and 558, as consecutive integers.

Consecutive integers are those integers in a computation formula that follow one another. No number is lost in a sequence when enumerating successive numbers, hence their spacing is always consistent. Consecutive integers are the next numbers in ascending order. The consecutive integers formula may be used to discover consecutive integers for any number or to determine if a set of numbers is consecutive or not.

First set the 3 numbers to be x-2, x, and x+2. So:

x-2+x+x+2=554

3x=554

There is no solution to this issue since three cannot split equally into 554. In reality

182+184+186=552

184+186+188=558

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The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295

Binomial Distribution

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.

In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.

n = 7

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

0.7295

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The probability that at least one of them lives more than 87 minutes is 0.87.

Probability

In statistics, the possible way of happening a particular event is called probability.

Given,

Suppose that an experimenter studies the lifespan of members of a colony of bacteria. let t be the lifespan of a randomly chosen member of the colony. suppose the lifespan of the bacteria has an exponential distribution with expected value 100 minutes.

Here we need to find if we choose 5 members of the colony, then what is the probability that at least one of them lives more than 87 minutes.

Here we know that,

Total number of members = 5

Life span = 87 minutes

Expected value = 100 minutes

So, the probability is calculated as,

=> 87 /100

=> 0.87

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