I. There is a gap in the Potato Chips group
II. There is a gap in the Tortilla Chips group
III. The range is greater for the Potato Chips group
Which of the statements are true?

A) I only
B) II only
C) I and II
D) III only

Answer:

28/3 or 9⅓

Step-by-step explanation:

2/3 = x/14

x = 2×14/3

x = 28/3

Answer:

28/3 =x

Step-by-step explanation:

2/3 = x/14

We can solve using cross products

2*14 = 3x

28 = 3x

Divide each side by 3

28/3 = 3x/3

28/3 =x

Answer:

A is approximately 200.86 square units.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.

The probability of each number is 1/6, so:

P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2

Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.

As we have again 3 numbers, the probability P2 will also be 1/2

Then, the final probability is the product of both P1 and P2:

P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%

Answer:

$97,958.42

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

[tex]A=P(1+r )^{t}[/tex]

P = initial balance

r = interest rate

t = time

First change 6.5% to its decimal form:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Next plug in the values:

[tex]A=49,000(1+.065)^{11}[/tex]

[tex]A=97,958.42[/tex]

They have to pay back $97,958.42

Answer:

$8.53

Step-by-step explanation:

The first thing you do is convert the oz into pounds. There is 16 oz in a pound so our fraction is 9/16 which is 0.5625 . Then adding to the pounds it becomes 6.5625 pounds. Then multiply by 1.3.

Answer:

3 divided by 1/4 will be 1/3 * 1/4 which should give you 1/7.

Answer:

3 divided by one forth is 2.142

Step-by-step explanation:

Answer:

£2380.23

Step-by-step explanation:

The increase will be 8.5% of £2193.76 added to £2193.76

That’s

8.5% of £2193.76

8.5% /100% x £2193.76

0.085 x £2193.76

£186.47

Increase = £2193.76 + £186.47

= £2380.23

Answer:

the square root of 36 is 6, and for 64 it is 8

Step-by-step explanation:

Answer:

The square root of 36 is 6 and the square root of 64 is 8

Answer:

Let's just call the number x. 3/8ths of x and 1 more equals 11.

As an equation, this basically means

[tex]\frac{3}{8} x+1=11[/tex]

The equation derived from the given statement "One more than three-eighths of a number is eleven" is 3/8 * X + 1 = 11.

In mathematics, especially in algebra, we often have to deal with problems where a certain relationship is given between a number and its fraction, and the task is to find the number. In the problem you presented, "One more than three-eighths of a number is eleven", we are required to express this problem as an equation.

The three-eighths of a number can be represented as 3/8 * X (where X is the unknown number we're seeking), and 'one more than' simply means we're adding 1 to this fraction. The given relationship states that this result is eleven.

So, the equation can be written as: 3/8 * X + 1 = 11.

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Answer:

D = 0

Step-by-step explanation:

D = b^2 - 4ac =

= 6^2 - (4*1*9) =

= 36 - 36 = 0

Final answer:

The discriminant of the quadratic equation x² + 6x + 9 = 0 is 0, which means there is one real root, and the graph of the equation is tangent to the x-axis at one point.

Explanation:

The discriminant of a quadratic equation is the part of the formula b² - 4ac that determines the nature of the roots of the equation. For the quadratic equation x² + 6x + 9 = 0, we can identify a = 1, b = 6, and c = 9. Using the discriminant formula, we get:

• Discriminant, D = b² - 4ac
• D = (6)² - 4(1)(9)
• D = 36 - 36
• D = 0

Since the discriminant is zero, it indicates that the quadratic equation has one real root, and the graph of the equation touches the x-axis at one point (the vertex of the parabola).

Given:

Side length of square = 2 in

To find:

The area of the square

Solution:

Area of the square:

Area = side × side

        = 2 in × 2 in

Area = 4 in²

Therefore, the area of the square is 4 inches².

Answer:

Step-by-step explanation:

The perimeter of Brianna's rectangle garden is 100 feet. The length of the garden is 1.5 longer than the width

Hope this will help u...

Answer:

10,080,000 cubic meters is the answer.

Step-by-step explanation:

For every minute (x), 168,000 cubic meters (y) of water are added. 1 hour has 60 minutes, so 60 x 168,000. That gives 10,080,000.

Answer:

Daniel bought a computer and paid $50.94 in  sales tax. The sales tax was 11% of the  purchase price. What was the cost of the  computer before tax?

11/100 x 50.94= $5.60

Tax= $5.60

Cost of the computer before tax= $50.94- $5.60

Cost of computer= $45.34 before tax

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A. 1/10 and 10%

Step-by-step explanation:

Answer:

-6x+12

-9+5a

7x+63

8y-4/5x-12

Step-by-step explanation:

To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.

-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.

-6x+12

Do this for each problem.

0.1(-90)+0.1(50a)

-9+5a

-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.

7x+63

4/5(10y)+4/5(-x)+4/5(-15)

8y-4/5x-12

Answer:

Originally Answered: How do you multiply a decimal greater than 0 and a fraction less than 0? Simply multiply the decimal with the numerand (top of the fraction) and divide by the denominator ( bottom of fraction). Since one is positive ( greater than 0) and the other is negative the answer will always be negative.

Step-by-step explanation:

A fraction simply tells us how many parts of a whole we have.

To  multiply a decimal greater than 0 and a fraction less than 0 . first convert decimal into fraction.

Then, multiply numerator with numerator and denominator with denominator of both fraction.

For example,

                        [tex]0.5 * (-\frac{1}{2})\\\\\frac{1}{2} *(-\frac{1}{2} )\\\\-\frac{1}{4}[/tex]

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Answer:

rational

Step-by-step explanation:

Using it's concept, it is found that there is a 0.6154 = 61.54% probability of selecting a freshman or a female.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 26 students. Of those, the desired outcomes are composed by the 11 freshmen students plus the 5 sophomore females, hence:

p = 16/26 = 0.6154.

0.6154 = 61.54% probability of selecting a freshman or a female.

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Final answer:

To find the probability of selecting a freshman or a female from the calculus class, we calculate the combined unique count of freshmen and females and divide by the total number of students, resulting in a probability of approximately 69.23%.

Explanation:

The question asks for the probability of selecting a freshman or a female student from a calculus class with a total of 11 freshmen and 15 sophomores, where 5 of the sophomores are females and 8 of the freshmen are males. First, let's identify the totals: there are 26 students in total (11 freshmen + 15 sophomores). To find the number of freshmen or females, we consider that there are 3 freshmen females (11 freshmen - 8 males) and 10 sophomore females in total (5 sophomores who are female plus 5 presumed male due to the lack of additional gender data).

So, the number of unique freshmen or female counts is: the 11 freshmen (regardless of gender) plus the 10 females not counted among freshmen (5 sophomores who are females plus an assumed 5 other females given the data isn't explicit about these being the same or different students), minus the 3 freshmen females who are already counted in the freshman group. This gives a total of 18 unique freshmen or females. Therefore, the probability of selecting a freshman or a female is [tex]\(\frac{18}{26}\)[/tex], which simplifies to [tex]\(\frac{9}{13}\)[/tex] or approximately 69.23%.

Answer: The volume of the sculpture is 64.11 ft3

Hope this helps :)

Answer:

125.8983 ft^3

Step-by-step explanation:

Circumference of the circle is 28.260

Formula for the circumference of a circle is 2Πr

2*3.14 is 6.28

28.26/6.28=4.5

r is 4.5

Formula for the volume of a cone is 1/3*pi*r^2*h

1/3*3.14*4.5^2*6 = 125.8983

Answer:

B. (-3,3)

Step-by-step explanation:

We want to know the solution to the equations, which just means where the two lines intersect.

If we just count the spaces, we can see that they touch at (-3,3). Remember that coordinates are (x,y), so we go left 3 (-3,3) and up 3 (-3,3).

Answer: the answer to this question is B

Step-by-step explanation:

Answer:

20x

Step-by-step explanation:

1 do the work 2 dont ask brianly

Answer:C

Step-by-step explanation: 42 is bigger than 40 but I’m really not sure

Answer:

2

Step-by-step explanation:

=6/3

=2

Answer: 2crayons

Step-by-step explanation:

3 children share 6crayons equally

Looking at this

We have 3 children

We have 6crayons

How many does each one of them get

Let the each child's crayon represent p

I child to p crayon

3children to 6crayon

Cross multiply

1 ----- p

3 -----6

So we have

6×1=3×p

6=3p

P=6/3

P=2

So 1 child is entitle to 2crayons

Therefore, each child has 2crayons to themselves.

Answer:

110in

Step-by-step explanation:

The horizontal distance from where you stand to the lamp post is 40 inches.

Let the height of the lamp post be y inches.

The angle of elevation from the ground to the top!

of the lamppost to be 70°.

The height , y and the horizontal distance, form the legs of a right triangle .

We can use the tangent ratio, to calculate the height of the lamp post .

[tex] \tan(70 \degree) = \frac{y}{40} [/tex]

[tex]y = 40 \tan(70) [/tex]

[tex]y = 109.9[/tex]

To the nearest inch, the height is 110 inches

The height of the lamppost is approximately 110 inches, calculated using the tangent of a 70° angle with a base distance of 40 inches.

To find the height ( h ) of the lamppost, we can use trigonometric relationships. Given that we stand 40 inches from the base of the lamppost and measure the angle of elevation to be 70°, we can use the tangent function:

[tex]\[\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\][/tex]

In this scenario:

- The angle [tex]\(\theta = 70^\circ\)[/tex]

- The adjacent side (distance from the base) is 40 inches

- The opposite side is the height \( h \) of the lamppost

Using the tangent function, we have:

[tex]\[\tan(70^\circ) = \frac{h}{40}\][/tex]

To solve for ( h ), we rearrange the equation:

[tex]\[h = 40 \cdot \tan(70^\circ)\][/tex]

Now we need to calculate [tex]\( \tan(70^\circ) \):[/tex]

[tex]\[\tan(70^\circ) \approx 2.747\][/tex]

Multiplying this by 40 inches:

[tex]\[h = 40 \cdot 2.747 \approx 109.88\][/tex]

Rounding to the nearest inch:

[tex]\[h \approx 110 \text{ inches}\][/tex]

Therefore, the height of the lamppost is approximately  110  inches.

Answer:

22 feet per second

Step-by-step explanation

15x5280=79,200

79,200/60=1320 feet per minute since 60 minutes per hour

1320/60=22 feet per second since 60 seconds per minute

Max Steel's Mustang can go upto 22 feet per second.

First, convert miles per hour to feet per hour. Since there are 5280 feet in a mile, multiply the speed in miles by the number of feet in a mile:

Step 1: 15 miles/hour x 5280 feet/mile = 79200 feet/hour

Step 2:Next, convert feet per hour to feet per minute. Since there are 60 minutes in an hour, divide by 60:

79200 feet/hour ÷ 60 = 1320 feet/minute

Step 3: Finally, convert feet per minute to feet per second. Since there are 60 seconds in a minute, divide by 60:

1320 feet/minute ÷ 60 = 22 feet/second

Therefore, Max Steel can go 22 feet per second.

Answer:

C

Step-by-step explanation:

Take the x and y values of each value in each table.  Table 3's values all lie on the graphed line and are therefore correct.  Remember that x values are side-to-side and y values are up and down.  

Answer:

Option C

Step-by-step explanation:

The line passes through the points (0,-1) ; (4,0);(-4,-2)

Answer:(x-h)^2+(y-k)^2=r^2

Step-by-step explanation:

I just answered it and it’s correct

The equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle.

Then, Equation of the new circle,

(x - h)² + (y - k)² = r²

Where center = (h, k)

radius = r

Hence, the equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

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Answer:

1526.8 cubic feet.

Step-by-step explanation:

Volume for finding any shape is V= Bh where b is the area of he base multiplied by the height of the shape. Find the area of the circle, which is pi times the radius squared 9 times 9 is 81.  Multiply 81 by pi or 3.14159265 is 254. 4690047. Then, multiply that number 6 which is the height of your shape, and you get 1526.814028. Rounded to the nearest tenth is 1526. 8 cubic feet. Hope this helps!

The Volume of Cylinder is 1,526.04 ft².

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.

As, the Volume of Cylinder = πr²h where r is the radius and h is the height.

Given:

Radius of cylinder = 9 feet

Height of cylinder = 6 feet

So, Volume of Cylinder

= πr²h

= 3.14 x 9 x 9 x 6

= 3.14 x 81 x 6

= 1,526.04 ft²

Thus, the volume is 1,526.04 ft².

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The foci of the hyperbola is (0,3) and (0,-3).

Step-by-step explanation:

Given,

The equation of the hyperbola: [tex]\frac{(x-6)^{2} }{16} -\frac{(y+7)^{2} }{9} =1[/tex]

To find the foci of the given parabola

Formula

If the equation of the hyperbola:  [tex]\frac{(x-h)^{2} }{a^{2} } -\frac{(y-k)^{2} }{b^{2} } =1[/tex]

The focus will be (0,±c) where c² = a²+b²

Now,

Here, a=3 and b=4

c² = 3²+4² = 25

or, c = ±5

Hence,

The foci of the hyperbola is (0,3) and (0,-3)

Answer:

(1, -7) and (11, -7)

or A on edge

Step-by-step explanation:

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