The weight of one serving of trail mix is 2. 5 ounces. How many servings are there in 22. 5 ounces of trail mix?.

The total surface area of this prism is: 620 cm².

First step it to find the Area of isosceles triangles:

Area of isosceles triangles = [(24 × 5) ÷ 2]

Area of isosceles triangles (120 ÷ 2)

Area of isosceles triangles = 60 cm²

Second step is to find the area of 2 triangles

Area of 2 triangles = 60 cm² × 2

Area of 2 triangles = 120 cm²

Third step is to find the Area of 2 identical rectangles

Area of 2 identical rectangles= (10 × 13 ) × 2

Area of 2 identical rectangles=  260 cm²

Fourth step is to find the  bottom area of rectangle

Area of rectangle  = 24 × 10

Area of rectangle = 240²

Now let find the total surface area

Total surface area =120 + 260 + 240

Total surface area = 620 cm²

Therefore the surface area is 620 cm².

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Answer:

$13

Step-by-step explanation:

$65 x 0.20 = 13

Answer: 20% off 65 is $52.00 so it was $13 saved

Answer:1=a, 2=b, 3=c

Step-by-step explanation:

just smart like that

Answer: 0.0000045

Step-by-step explanation:

Since it is -6, you move it to the right and add 6 zeros and take off the decimal between the 4 and the 5

Hope that helps you! :)

If Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

Number of minutes to types 91  words = 14 minutes

Here we have to use the unitary method to solve the problem

Time taken to type 1 word = Number of minutes to types 91  words / 91

Substitute the values in the equation

= 14  / 91

= 2 / 13

Time taken to type 65 words =  Time taken to type 1 word × 65

Substitute the values in the equation

= (2/13) × 65

= 10 minutes

Hence, if Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

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Answer:

the slope (m) would be 3/2

Step-by-step explanation:

6x−4y=12

Rewrite in slope-intercept form.

y=3/2x−3

Using the slope-intercept form, the slope is 3/2

m=3/2

-4 1/3

I hope this helps

When subtracting or adding fractions make sure that the denomators are the same.

answer

Papa Johns charges 2 more per pizza plus 3 more for the delivery charge so 5 total

The relative frequency for the table given will be

Can drive Can't drive Rows total

Likes to fly. 0.32. 0.38. 0.70

Don't like to fly. 0.13. 0.17. 0.30

Column total 0.45. 0.55 1.00

From the information given, it should be noted that the values will be calculated by subtracting the values that are given.

Those that likes to fly but cannot drive will be:

= 0.70 - 0.32

= 0.38

Those that do not like to fly will be:

= 0.45 - 0.32

= 0.13

The row total for do not like to fly will be:

= 1.00 - 0.70

= 0.30

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Step-by-step explanation:

when we have an equation

y = ax + b

then "a" is the slope.

in our equation we see

1/2(6x ...) = 6/2 x ... = 3x ...

so, the slope is 3.

Answer:

Step-by-step explanation:

The slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

The slope intercept form is simply writing an equation of a line so that the slope or steepness and y-intercept i.e. where the line crosses the vertical y-axis are immediately apparent.

The slope-intercept equation is y = mx + c, where x and y are two variables, and m is slope.

Slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

Let,

(x1, y1) = (5, -3)

(x2, y2) = (4, 0)

Slope (m) = [tex]\frac{0 - (-3) }{4 - 5}[/tex]

                = [tex]\frac{3}{-1}[/tex]

                = -3

By substituting x, y, and m values in the equation we can get the value of c.

Consider x = 4 , y = 0, m = -3

y = mx + c => 0 = (-3)4 + c

                      c = 12

Therefore, the slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

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The pitch of the roof is 0.3.

Pitch:

The pitch can be expressed numerically as a fraction. The pitch fraction represents a certain amount of vertical rise over the entire span.

Here it is given that the rise in the roof is 3.6m and a rum of 12m,

We have to find the pitch of the roof.

As is already given in the statement that the slope of a roof is called its pitch.

By this we get the slope:

Slope = 3.6/12

= 3/10

= 0.3

Therefore we get the pitch of the roof at 0.3.

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Answer:-1/3

Step-by-step explanation: the point goes right one and down three making the slope negative

The solutions for all the given statements are,

1. True, 2. True, 3. False, 4. True, 5. True, 6. True, 7. False, 8. False

Given statements and their conclusions;

1. The best point estimate for the population mean is the sample mean.

→ True, since the central limit theorem states that the sample mean corresponds to the population mean.

2. The level of confidence that a confidence interval contains the population parameter being estimated increases as its length does (confidence level).

→ True, when the CI widens, our confidence grows as well since we are more certain that the true mean (or another statistic) will fall inside the range.

3. If a confidence interval is very long, it means that the corresponding prediction is highly significant.

→ False, as the length increases, the confidence interval's range similarly expands, giving the correct point estimate a wider range of possible values.

4. A 90% confidence interval for a population mean implies that there is a 0.90 probability that the true population means will be contained in the confidence interval.

→ True, a 90% CI means that we are 90% confident that the range of the confidence interval contains the true value of the mean.

5. A 90% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 90% of these intervals would contain the true parameter.

→ True, 90% of the values attains positive values.

6.A population parameter's point estimate is always in the middle of the parameter's confidence interval.

→ It is true that the sample statistic, such as a sample mean or sample proportion, is at the center of a confidence interval. The point estimate is what is used here. The margin of error determines the width of the confidence interval.

7. A population's point estimate for a particular parameter will always be the same when repeated samples are taken from it.

→ False.

8. The larger the level of confidence, the shorter the confidence interval.

→ False, an increase in the margin of error follows an increase in the level of confidence. A broader confidence interval is produced by a higher margin of error.

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A coordinate rule for the composition.is

(x, y) → (-x - 1, -y + 1)

The new coordinate is

X' (2, 0)  Y' (-5, -4)

The transformation rule for rotation 180° about the origin is

(x, y) → (-x, -y)

the translation rule given is (x, y) → (x - 1, y + 1)

Merging the translation and the rotation

(x, y) →  (-x, -y) → (-x - 1, -y + 1)

Applying the rule gives

X(-3, 1) → (- -3 - 1, -1 + 1) → (2, 0)

Y(4, 5) → (-4 - 1, -5 + 1)  → (-5, -4)

The graph is attached

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The distance traveled by a northland car is 8.7 km if two cars leave the same parking lot, with one heading north and the other heading east.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

It is given that:

Two cars leave the same parking lot, with one heading north and the other heading east.

From the data given in the question:

Hypotenuse = 9 km

Base = 2 km

The distance traveled northland car = √(9² - 2²)

The distance traveled northland car = √(81 - 4)

The distance traveled by northland car = √77 km

The distance traveled by northland car = 8.7 km

Thus, the distance traveled by a northland car is 8.7 km if two cars leave the same parking lot, with one heading north and the other heading east.

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Answer:

42

Step-by-step explanation:

Answer:

+ - = -

Step-by-step explanation:

46 - 4 = 42

hope this helps

a) The standard error of the mean is 0.90

b) The marginal error is 1.76

Given,

Number of samples in the population, n = 60

Sample mean of the population, μ = 25

Standard deviation of the population, σ = 7

We have to find the standard error of the mean and the margin of error at 95% confidence.

Here,

a) The standard error of the mean = Standard deviation / root of sample

= σ / √n

= 7/√60

= 0.90

b) The margin error;

Zₐ/₂ ×  σ / √n

= Zₐ/₂ × 7/√60

= 1.96 × 0.90

= 1.76

Therefore,

a) The standard error of the mean is 0.90

b) The marginal error is 1.76

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[tex]\displaystyle\\Answer:\ \left [ {{\boxed{2.1}} \atop {\boxed{3.45}}} \right][/tex]

Step-by-step explanation:

[tex]\displaystyle\\A=\left [ {0.3\ \ \ \ 0.2} \atop {0.35\ \ \ 0.4}} \right]\ \ \ \ \ D=\left [ {{3} \atop {6}} \right]\\\\A*D=\left [ {{c_{11}} \atop {c_{21}}} \right] \\\\c_{11}=a_{11}*b_{11}+a_{12}*b_{21}\\\\c_{11}=0.3*3+0.2*6\\\\c_{11}=0.9+1.2\\\\c_{11}=2.1\\\\c_{21}=a_{21}*b_{11}+a_{22}*b_{21}\\\\c_{21}=0,35*3+0,4*6\\\\c_{21}=1.05+2.4\\\\c_{21}=3.45\\\\Thus,\ A*D=\left [ {{2.1} \atop {3.45}} \right][/tex]

Answer:

Step-by-step explanation:

x° and 106° are same side interior angles, meaning they're supplementary and adds up to 180°. Therefore, you can find the value of x by:

[tex]x+106=180\\\\x=180-106=74[/tex]

x° and 2y° are corresponding angles, meaning they're equal. Therefore, you can find the value of y by:

[tex]x=2y\\\\2y=74\\\\y=\frac{74}{2} =37[/tex]

(4z + 6)° and the angle adjacent to x° are corresponding angles, meaning they're equal. Therefore, you can find the value of z by:

[tex]4z+6=180-x\\\\4z=180-74-6\\\\4z=100\\\\z=\frac{100}{4} =25[/tex]

Answer:

|MF| = √109

|MK| = √ 229

Step-by-step explanation:

| MF| = √(-1×-3)² + (5×2)²

= √(3)² + (10)²

=√9 + 100

= √109

|MK| = √(-1×2)² + (5×3)²

= √(-2)² + (15)²

= √4 + 225

= √229

Check the picture below.

so if we look at those dimensions in centimeters, let's get the area of the cross-section, keeping in mind the volume of the bar is simply the area of the cross-section times the length.

[tex]\stackrel{\textit{\Large area of the cross-section}}{(2)(15)cm^2~~ + ~~(2)(15)cm^2~~ + ~~(8)(2)cm^2\implies 76~cm^2} \\\\\\ \stackrel{\textit{\LARGE bar's volume}}{76cm^2\cdot 120cm\implies 9120~cm^3}[/tex]

now, we know the density of the metal for the bar is 8 g/cm³, so let's do a quick conversion for the whole bar

[tex]\begin{array}{ccll} grams&cm^3\\ \cline{1-2} 8 & 1\\ g& 9120 \end{array} \implies \cfrac{8}{g}~~=~~\cfrac{1}{9120}\implies 72960=g\implies 72.960Kg[/tex]

so if one bar has 72.960 Kg, how many bars are there in 250Kg?

[tex]\begin{array}{ccll} bars&Kg\\ \cline{1-2} 1 & 72.960\\ b& 250 \end{array} \implies \cfrac{1}{b}~~=~~\cfrac{72.960}{250} \\\\\\ 250=72.96b\implies \cfrac{250}{72.96}=b\implies 3.43\approx b\qquad \textit{so only \underline{three whole bars}}[/tex]

The discriminant of the equation f(x) = 2x^2-10x+8 [tex]\neq[/tex] 36

To find out the discriminant of f(x)=2x^2-10x+8

The formula for the discriminant is represented by b²-4ac.

This equation is in general form, which is ax² + bx + c = 0.

So, lets assume the values to be

a = 2

b = -10

c = 8

The discriminate that we need to find out in the equation below is

D = b²-4ac

[tex]D = -10^{2} - 4(2)(8)[/tex]

D = -100 - 64

D = -164 which is not a nice number

As the discriminant had a negative value of -164.

This means there are no real solutions to the equation, because the discriminant is negative.

Hence the discriminant of the equation f(x) = 2x^2-10x+8 [tex]\neq[/tex] 36

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Answer:

its A

Step-by-step explanation:

A

Answer:50

Step-by-step explanation:i said so

Answer: Answer is 7.00

Step-by-step explanation: i did this i got right answer...  please likes, 5 star     have great day :)

As the discriminant is negative the Quadratic equation has no real zeros.

The formula of discriminant is used to find the number of solutions or zeros that a quadratic equation has. In algebra, the discriminant is the name that is given to the expression which is in under the square root in the quadratic formula.

The formula for discriminant is given by

Here we have

Quadratic function, y = 5x² + 2x + 4  

compare the given equation with ax²+bx+c = 0

=> a = 5, b = 2 and c = 4  

Now find the discriminant of the equation

As we know  

⇒   Discriminant Δ = (2)² - 4(5)(4)

= 4 - 80

= - 76  

Since the discriminant of the equation is negative then the given quadratic equation has no real zeros  

Therefore

As the discriminant is negative the Quadratic equation has no real zeros

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The cheaper cost that should be chosen is $3000 to make 500 apple pies a week.

From the information, the manager of Best Bakery finds it costs $3000 to make 500 apple pies a week. The cost per pie will be:

= Total amount / Number of pie

= $3000 / 500

= $6

Also, it cost $2300 to make 325 apple pies a week. The cost per apple pie will be:

= $2300 / 325

= $7.08

Therefore, the cheaper option is $3000 to make 500 apple pies a week.

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Complete question

The manager of Best Bakery finds it costs $3000 to make 500 apple pies a week or $2300 to make 325 apple pies a week. Which is cheaper?