A hospital emergency room has collected a sample of 40 to estimate the mean number of visits per day. The sample standard deviation was found to be 32. Using a 90 percent confidence level, what is its margin of error

The current amount of the sale is 96

The sale is 120

It was decreased by 20%

20/100 × 120

= 0.2 × 120

= 24

The amount of the current sale is

120-24

= 96

Hence the amount of the current sale which is calculated by subtracting 24 from 120 is 96

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Answer:

I am here to help!

Step-by-step explanation:

if it's each year won't the company have 168k?

Susan has 875 grams of grapes left.

1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).

2. Susan ate 125 grams of the grapes on her way home.

3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.

  1000 grams - 125 grams = 875 grams

4. Thus, Susan has 875 grams of grapes left.

measurement units:

In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.

This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.

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Answer:

1/4

Step-by-step explanation:

I think that the expression is correct

(1/2)^3 x 2 = 1/8 x 2 = 1/4

Refer to the attachment

Answer: Options B and D.

Step-by-step explanation:

We start with the equation:

(-2 3/7)*(-6/11)

now, you need to recall the signs relations:

(+)*(+) = +

(-)*(+) = -

(-)*(-) = +

Then our initial equation has a positive sign.

a)  (3/8)*(-6/7) here we have (+)*(-), so this is negative, this option is not correct.

b) (1 2/9)*(2 16/17) here we have (+)*(+), so this is positive, this option is correct.

c)  (-9/20)*(3 4/5) here we have (-)*(+), so this is negative, this option is not correct.

d) (-1/3)*(-2/3) here we have (-)*(-), so this is positive, then this option is correct.

Answer:

The awnser is B and D

Step-by-step explanation:

Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

Answer:

Step-by-step explanation:

Absolute value is a 2-bar symbol where the two bars represent a positive sign.

In greatest to least form:

Hence, the answer to the problem is:

Hoped this helped.

\(BrainiacUser1357\)

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

10 to the power of 2

Step-by-step explanation:

Answer: 10 to the power of 2 or 10^2

Step-by-step explanation: 10 x 10 equals 100. I used the number ten twice to get 100

Answer:

13

Step-by-step explanation:

pythagorean theorum

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

c^2=169

c=13

The length of the triangle's other leg is approximately 10.908.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Pythagorean theorem to solve for the length of the other leg of the right triangle.

The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides (the legs).

That is, for a right triangle with legs a and b and hypotenuse c:

c² = a² + b²

In this case,

We know that the hypotenuse has a length of 12 and one of the legs has a length of 5.

Let's denote the length of the other leg as "x".

So we can set up the equation:

12² = 5² + x²

Simplifying, we get:

144 = 25 + x^2

Subtracting 25 from both sides, we get:

119 = x²

Taking the square root of both sides, we get:

x ≈ 10.908

Therefore,

The length of the triangle's other leg is approximately 10.908.

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Answer:

32:35 is the ratio to your question.

Blue squares : Purple squares = 32 : 35

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

A pattern has 32 blue squares for every 35 purple squares.

∵ 32 Blue squares : 35 Purple squares

∴ Blue squares : Purple squares = 32 : 35

The ratio of blue squares to purple squares = 32 : 35

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Step-by-step explanation:

Why do people do zoom on here

this is an app for learning not for people to join ur mettings that could be inapporpiate

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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The equation of the parabola with a focus (-3, 6) and directrix at x = -7 is (x + 5)^2 = 8(y - 6).

To find the equation of a parabola given the focus and directrix, we can use the standard form of the equation for a parabola:

(x - h)^2 = 4p(y - k)

Where (h, k) is the vertex of the parabola, p is the distance from the vertex to the focus (and also from the vertex to the directrix), and the axis of symmetry is parallel to the directrix.

Given that the focus is (-3, 6) and the directrix is x = -7, we can determine the values of h, k, and p.

The vertex (h, k) is the midpoint between the focus and the directrix. So we can find h by taking the average of the x-coordinates of the focus and the directrix:

h = (-3 + (-7))/2 = -10/2 = -5

Therefore, the x-coordinate of the vertex is -5.

The value of k is the y-coordinate of the focus, so k = 6.

The distance between the vertex and the focus (or directrix) is denoted by p. Since the directrix is a vertical line, the distance is measured vertically. In this case, the directrix is x = -7, which means it is parallel to the y-axis. So the distance p is the absolute value of the difference between the x-coordinate of the vertex and the x-coordinate of the directrix:

p = |-5 - (-7)| = 2

Now we have all the values we need to write the equation of the parabola:

(x - h)^2 = 4p(y - k)

Substituting the values we found:

(x - (-5))^2 = 4(2)(y - 6)

(x + 5)^2 = 8(y - 6)

Expanding the square:

(x + 5)(x + 5) = 8(y - 6)

(x^2 + 10x + 25) = 8y - 48

Rearranging the equation:

x^2 + 10x + 25 - 8y + 48 = 0

x^2 + 10x - 8y + 73 = 0

So the equation of the parabola with focus (-3, 6) and directrix x = -7 is x^2 + 10x - 8y + 73 = 0.

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Answer:

GCF of 12 and 100 by Prime Factorization

Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.

GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.

Answer:

Maybe because what about the other votes that were supposed to be left.

Step-by-step explanation:

Answer:

No, there are no vertical angles shown.

Answer:

9

Step-by-step explanation:

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

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Answer:

.30times 28.99=$8.697

Answer:

4 miles

Step-by-step explanation:

It took two miles to get there and two miles to get back. 2+2=4

Given Expression

\(9v^2-1=-77\)

Step-By-Step Process.

________________

1. Add 1 to both sides of the equation.

\(9v^2-1+1=-77+1\)

________________

2. Simplify.

\(9v^2=-76\)

________________

3. Divide both sides by 9.

\(\frac{9v^2}{9} =\frac{-76}{9}\)

________________

4. Simplify.

\(v^2=-\frac{76}{9}\)

For \(x^2=f(a)\) the solutions are \(x=\sqrt{f(a),} - \sqrt{f(a)} \\\).

\(v=\sqrt{-\frac{76}{9} }, v=-\sqrt{-\frac{76}{9} }\)

_________________

\(\sqrt{-\frac{76}{9}}=\frac{2\sqrt{19} }{3}i\)

\(-\sqrt{-\frac{76}{9} } =-\frac{2\sqrt{19} }{3}i\)

_________________

Solution:

\(v=\frac{2\sqrt{19} }{3}i,v=-\frac{2\sqrt{19} }{3}i\)

Hope this helps!

A) The Number of Combinations if there are no restrictions on the seating arrangements are 5040 ways.

B) There are three friends That must sit together

in 36 ways.

C) Three friends are next To each other in 144 different ways.

Total number of people = 7 and seated in a row.

Combination is arrangement of objects in a particular order. The formula of combination is

ⁿCₓ = n!/(n-x)! x!

n --> total number of objects

we have to determine how many ways can 7 be seated in a row.

A) if there are no restrictions on seating arrangement, The number of possible ways = n!

Here, n! = 7!

= 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.

Therefore, there are 5040 ways that the people can be seated when there is no restriction on the seating arrangement.

b) There are three friends that must sit Together. The three persons can be arranged in 3!

The possible number of ways = 3! × 3! × 1

= 3× 2×1 ×3×2×1

= 36

C) If there are three friends must sit next to one another. There are total seven persons . Three persons sit next to one another. The possible number of ways = 3! × 4!

= ( 3 × 2 × 1) × (4 × 3 × 2 × 1)

= 6 × 24

= 144 ways

Therefore, if there are 3 sit next to one another, there are 144 ways of seating arrangement.

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Answer:

4

Step-by-step explanation:

20 ÷ 5 = 4