A zoo is thinking of adding a dome exhibit a showcase desert animals. The zoo sent out a survey to their current members to see their current members to see if they would be interested in adding this kind of the the zoo. Of 2,000 responses 7/10 indicated that yes they would like dome add it to the zoo how many members want a dome add it to the zoo

Answers

Answer 1

Based on the fact that out of 2,000 responses, 7/10 indicated that they would like the zoo to add a dome, the number of members who want a dome to be added to the zoo are 1,400 members.

How many members want the dome added?

To find the number of members of the zoo who want the dome to be added to the zoo, the following formula would help:

= Number of members that were surveyed by the zoo x Fraction of members who indicated yes to the dome being added

Solving for the number of members who want the dome added gives;

= 2,000 x 7/10

= 14,000 / 10

= 1,400 members

In conclusion, 1,400 members indicated yes to the dome.

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Related Questions

a number has 8 in the tens place, 5 in the thousands place,2 in the ones place, and 3 in the hundreds place. what number am I?​

Answers

According to the given information, the number is 5382.

What are numbers?An arithmetic value used to represent quantity is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers. For instance, this is a single butterfly, and there are four. A number is a fundamental mathematical unit. For counting, measuring, and comparing quantities, we use numbers. A set of symbols, or numerals, used to represent numbers is known as a number system. The ten symbols known as digits—0, 1, 2, 3, 4, 5, 6, 7, 8, and 9—as well as combinations of these digits make up the most widely used number system.

So, the number:

8 in the tens place = xx8x5 in the thousands place = 5x8x2 in the one place = 5x823 in the hundreds place = 5382

Therefore, the number is 5382.

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HELP ME 60 POINTS PLEASE HELP ME!!!! Tell me what you know about slope. be as detailed as possible and write in complete sentences in paragraph form. Some examples you can expand on would be slope of parallel and perpendicular lines, finding slope on a graph, using slope formula, etc.

Answers

Answer:

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. the form of a rise and run looks like a fraction. The slopes of perpendicular lines are negative reciprocals of one another. For example, a line with a slope of 23 will be perpendicular to a line with a slope of −32 . A line with a slope of -5 will be perpendicular to a line with a slope of 15 .

I hope I helped with your essay <3

Answer:

The slope is finding the rate of increase or decrease in a line. The slope of a line can be helpful in multitudes of problems. One example is the fact that if you multiply the slope of two lines that are perpendicular to each other, you get -1. This way, you can find the slope of a perpendicular line without actually having to calculate it. Another way to use slope is with parallel lines. Parallel lines have the same slope and you can find the equation of another parallel lines just by knowing its slope and one point on that line.

The length of a rectangle is three times its width. If the perimeter is 132 inches, what is the length of the rectangle?
1. 48 inches
2. 16.5 inches
3. 49.5 inches
4. 18 inches

Please give an explanation (Do not just give an answer and take points or you will get reported)

Thank you :D

Answers

Answer:

Let 2w = the length

P = 2l + 2w

132 = 2(2w) + 2w

132 = 4w + 2w

132 = 6w

22 feet = w

2w = 2(22) = 48 inches

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees.

The length of the rectangle is 49.5 inches.

What is a rectangle?

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees.

We have,

Length of a rectangle = L

Width of the rectangle = W

L = 3W _____(1)

The perimeter of the rectangle:

P = 2 ( L + W )

132 = 2 ( L + W )

132 / 2 = L + W

66 = L + W

From (1),

66 = 3W + W

66 = 4W

66/4 = W

W = 16.5 inches.

From (1),

L = 3 x 16.5

L = 49.5 inches

Thus the length of the rectangle is 49.5 inches.

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An atom of gold has a mass of approximately 3.25×10−22 grams. What is the mass of 4000 atoms of gold? Express your answer in scientific notation.

Answers

Taking into account the rule of three, the mass of 4000 atoms of gold is 1.3×10⁻¹⁸ grams.

Rule of three

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

If the relationship between the magnitudes is direct, the direct rule of three must be applied as follow, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: x= (c×b)÷a

Mass of 4000 atoms of gold

You can apply the following rule of three: if 1 atom of gold has a mass of approximately 3.25×10⁻²² grams, 4000 atoms of gold have how much mass?

mass= (4000 atoms× 3.25×10⁻²² grams)÷ 1 atom

mass= 1.3×10⁻¹⁸ grams

Finally, the mass of 4000 atoms of gold is 1.3×10⁻¹⁸ grams.

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what is the reciprocal of 4/8

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{4}{8}}\\\\\mathsf{= \dfrac{8}{4}}\\\\\mathsf{= \dfrac{8\div4}{4\div4}}\\\\\mathsf{= \dfrac{2}{1}}\\\\\mathsf{= 2\div1}\\\\\mathsf{= 2}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{2\ or\ \dfrac{8}{4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Reciprocal of 4/8 = 8/4

Step-by-step explanation:

To get the reciprocal of 4/8 based on that definition, we can make the following equation where "R" is the reciprocal of 4/8.

(4/8) × R = 1

When we solve for R, we get the answer to the reciprocal of 4/8 as a fraction as follows:

(4/8) × R = 1

R = 8/4

Reciprocal of 4/8 = 8/4

Please help me with this

Answers

Answer:21 decrees

Step-by-step explanation:

i gotch you

Using long division what is the answer to 6.64 / 8.3?

Answers

Answer:

Step-by-step explanation:

Hey, don't worry, I got you! The answer is 0.8

The answer of  6.64 / 8.3 = 0.800

How do you do long division with decimals?When dividing a decimal by a whole number, use the same long division method as when doing so with two whole numbers, but place the decimal point in the answer exactly where it appears in the dividend. Add a 0 to the end of the payout and keep dividing until there is no remainder if it doesn't divide evenly.To convert these decimal numbers into whole numbers, the first step is to multiply each value by 10. Counting backwards from 3.5, we arrive at 35. The other number in our phrase, 15.75, cannot simply be multiplied by 10 once, as can be shown by looking at it. The result would be 157.5, which is still not a perfect number.

Calculations :

We then have the equations:

66.4 ÷ 83 = 0.800

and therefore:

6.64 ÷ 8.3 = 0.800

Both calculated to 3 decimal places.

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Find the inverse of g (x)=1/3x-7 and the. Find it’s domain and range

Answers

Im unsure, I just took this test :P

Out of 120 students, 32 play football only. 8 played both football and volley ball. The number of players who played volley hall is twice the number of players who played football. Using a diagram find the number of students who played volleyball only and who didn't play both games​

Answers

Answer:

64 students played volly ball, 24 students played both football and vollyball

Step-by-step explanation:

srry if its not correct but im 70% sure it is

The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers.

Answers

Answer:

The numbers are 25 & 55

Step-by-step explanation:

You can quantify this problem by using x to take the place of the first number. Because x is multiplied by 2 we get 2x, and add 5 since it is 5 more than twice the first. We can add x to 2x+5 which is 3x+5 and set it equal to 80. Then solve for x to get your first number, and subtract 80 from x to get your second number. Your work should look like this.

[tex]x + 2x + 5 = 80\\3x + 5 = 80\\3x = 80-5\\3x = 75\\3x/3 = 75/3\\x = 25\\80 -25 = 55[/tex]

Hope this helps!

What is the interquartile range of the lengths of bananas?

Answers

Answer:42/80

Step-by-step explanation:

We know that the shop only buys abanans with lengths between 13 cm and 20 cm.So, the fraction of the 80 bananas is actually a ratio between the y-values of each lenth (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.Notice that 13 belons to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).This fraction means that the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.

The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

What is interquartile range?

In descriptive statistics, the interquartile range tells you the spread of the middle half of your distribution. Quartiles segment any distribution that's ordered from low to high into four equal parts. The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set.

We know that the shop only buys bananas with lengths between 13 cm and 20 cm.

So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80.

First, let's see which y-values belong to each length.

Notice that 13 belongs to 20 at Cumulative Frequency.

And 20 belongs to 62.

So, the pairs are (13,20) and (20,62).

This fraction means that the shop only buys 42 bananas out of 80,

because those are between 13 cm and 20 cm.

Hence, The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

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For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price. 2x+ 9p−90 = 0 and 3x−11p+ 61 = 0

Answers

Equilibrium quantity = 9 and equilibrium price= 8

Which one of the following radicals cannot be simplified?
√27
√24
√26
√25

Answers

Answer:

B and C

Step-by-step explanation:

In terms of square root b and c cannot be simplified to get a whole number answer.

Demonstration:

√24

The answer would be about 4.898

√26

The answer would be about 5.099

Both of these cannot be multiplied by any number to get 26 or 24.

Hence, the answer would be B and C.

Josiah says to Mia, If you give me $8.50, we will have an equal amount of money." Mia responds, "That may be true, but if you give me $8.50
instead, I will have twice as much money as you." How much money did Josiah and Mia each have in the beginning?

Answers

Josiah and Mia have $42.5 and $59.5 in the beginning respectively.

How to find the how much money did Josiah and Mia each have in the beginning?

Let us assume x is the amount that Josiah have in the beginning.

y is the amount that Mia have in the beginning.

from the question

if Mia gives $8.50 to the Josiah then both have equal amount which means

y - 8.50 = x + 8.50 ........................(1)

now Mia has double If Josiah gives Mia $8.50 which means

y + 8.50 = 2(x - 8.50)

y + 8.50 = 2x - 17 ..........................(2)

now subtract equation (1) from equation (2)

(y - 8.50) - (y + 8.50) = (x + 8.50) - (2x - 17)

y - 8.50 - y - 8.50 = x + 8.50 - 2x + 17

-17 = -x + 25.5

-x = -25.5-17

x = 42.5

now put x value into equation (1) to obtain y value

y - 8.50 = x + 8.50

y - 8.50 = 42.5 + 8.50

y = 51 + 8.50

y = 59.50

Hence, the Josiah and Mia have $42.5 and $59.5 in the beginning respectively.

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(3x + 5)° (10x - 7)° R
M QRT =

Answers

Using supplementary angles, it is found that the measure of angle QRT is of 47º.

What is the missing information?

For this problem, we have a straight line segment QS divided by an inclined segment RT. The measures of the angles are given as follows:

m<QRT = 3x + 5.m<TSR = 10x - 7.

What are supplementary angles?

When two angles have measures adding to 180º, they are called supplementary.

In this problem, due to the inclined segment, angles QRT and TSR are supplementary, and we can solve for x as follows:

3x + 5 + 10x - 7 = 180

13x = 182

x = 182/13

x = 14.

Hence the measure of angle QRT is found as follows:

m<QRT = 3(14) + 5 = 47º.

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9,513 nearest thousands

Answers

9,513 rounded off to nearest thousands = 10,000

we have given a four digit number 9,513 to round off to nearest thousands.

steps that should be followed for rounding numbers to the nearest thousand:

Mark the number that we need to round. In this case, we will mark the digit in the thousands place. This rounding digit will be the one that will eventually be affected.Since we are rounding to the nearest thousand, we need to check the digit to the immediate right of the thousands place, that is the hundreds place.If the digit in the hundreds place is less than 5, we do not change the digit in the thousands place. However, all the digits to the right of the thousands place are changed to 0.If the digit in the hundreds place is 5 or more than 5, we increase the thousands place by 1, and all the digits to the right of the thousands place are changed to 0.

round 9,513 to nearest thousands:

∵ hundreds place is 5

∴9,513≈10,000

hence, 9,513 nearest thousands is 10,000

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Below is the graph h(x)h(x)h, left parenthesis, x, right parenthesis. The function intersects its midline at (0.5,-3)(0.5,−3)left parenthesis, 0, point, 5, comma, minus, 3, right parenthesis and has a minimum point at (-1.5,-8)(−1.5,−8)left parenthesis, minus, 1, point, 5, comma, minus, 8, right parenthesis. Find a formula for h(x)h(x)h, left parenthesis, x, right parenthesis. Give an exact expression

Answers

The sine function h(x) is given by:

h(x) = 5sin(π/4(x - 0.5)) - 3.

What is the sine function?

The cosine function is defined as follows:

g(x) = asin(bx+c)+d.

The coefficients have these following roles:

a: amplitude.b: The period is of 2π/B.c: phase shift.d: vertical shift.

For this function, we have that:

The midline is of -3.The minimum value is of -8.

Hence the coefficient a is of 5, as:

a = -3 - (-8) = -3 + 8 = 5.

A standard cosine function with amplitude 5 would vary between -5 and 5, with midline at 0, hence the coefficient d is of d = -3.

The minimum value and midline form one-fourth the period, hence, since the period is of 4 x (0.5 - (-1.5)) = 8, we have that:

2π/B = 8

B = π/4

The standard midline is at x = 0, but for this function function it is at x = 0.5, meaning that the function was shifted 0.5 units right, hence c = -0.5.

Thus the function is given by:

h(x) = 5sin(π/4(x - 0.5)) - 3.

The graph at the end of the answer shows that the function has the desired features.

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3(19 + 2) The product of 3 and the first term is ________ .

Answers

In the expression 3(19 + 2), the product of 3 and the first term is 57.

What is Multiplication or Product of two terms?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors. Mathematically, the product of two numbers 'a' and 'b' is -

M = a x b

or

M = a + a + a + a +...... b times

Given is the following expression -

3(19 + 2)

We can solve the given expression using the distributive law of addition which says, for three numbers A, B and C →

A(B + C) = (A x B) + (A x C)

Using the distributive law of addition -

3(19 + 2)

3 x 19 + 3 x 2

57 + 6

In the expression, 19 is the first term, so the product will be 57.

Therefore, in the expression 3(19 + 2), the product of 3 and the first term is 57.

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Write the equation of each line in slope-intercept form.
The line parallel to y=-3x + 4 that passes through (9,-6).
O y = 3x + 21
Oy=-3x+4
Oy=-1/3x + 27
Oy=-3x + 21

Answers

The fourth option:

y=-3x+21 is correct.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-3} x+4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -3 and that it passes through (9 , -6)

[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{9}) \implies y +6= -3 (x -9) \\\\\\ y+6=-3x+27\implies {\LARGE \begin{array}{llll} y=-3x+21 \end{array}}[/tex]

A machine at a bakery is pouring out flour. The graph shows the amount of flour (in grams) in the machine versus time (in minutes).
(a) What is the amount of flour in the machine at minutes?

(b) Choose the statement that best describes how the time and amount of flour are related. Then fill in the blank.

As time increases, the amount of flour in the machine decreases.
At what rate is the amount of flour decreasing?

As time increases, the amount of flour in the machine increases.
At what rate is the amount of flour increasing?

Answers

The amount of flour at zero minutes is 630 grams.As time increases, the amount of flour in the machine decreases The rate at which the amount of flour increasing is -140 grams/minute

What is the scatterplot?

We can see that that the data is plotted on a scatterplot. The scatter plot has a vertical and a horizontal axis. It is evident that the horizontal axis plots the time while what is plotted on the vertical axis is the amount of flour.

As we can see, the relationship between the time and the amount of flour is negative. This can be seen from the shape of the plot as it is displayed in the image attached.

Looking at the shape of the graph, we can see that; The amount of flour when the time is zero seconds is 630 grams. As time increases, the amount of flour in the machine decreases. This corresponds to a negative relationship between the two variables.

The negative relationship also implies that we have to expect to have a negative slope. The rate at which the amount of flour increasing is; 210 – 630/3 – 0 = -140 grams/minute

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Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

Answers

The transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3 is f(x) shifting right 7 units

This is further explained below.

Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

Generally, the equation for vertex form is  mathematically given as

g(x) = 2(x – 7)2 – 95

Using the translations rule:

The conclusion that can be drawn from the vertex form " 2(x – 7)2 – 95" is that the parent function f(x) has been relocated 7 units to the right and 91 units upward.

In conclusion, we can say that f(x) shifted right 7 units

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1
2
3
Hours (h)
1
The table shows the relationship "Kevin read 35 pages per hour."
23
3
4
4
5
5
Pages (p)
35
70
105
140
175

Answers

Answer:

variable h is independent

It is estimated that 78% of drivers use their turn signal.
Part A: What is the probability that exactly 3 drivers use their turn signal if a police
officer pulls over five drivers? (5 points)
Part B: What is the probability the next driver using their turn signal that the police
officer pulls over is the fifth driver? (5 points) (10 points)
I

Answers

Answer:

A) 0.23

B) 0.14

Step-by-step explanation:

Part A)
To solve this question, we'll have to use the Bernoulli formula.
The formula claims that the probability to get [tex]k[/tex] successes out of [tex]n[/tex] attempts is given by [tex]\binom{n}{k}p^k(1 - p)^{n - k}[/tex].

In our case, [tex]n = 5[/tex], [tex]k = 3[/tex], and [tex]p = 0.78[/tex].

Therefore, the probability that 3 out of the 5 drivers use their turn signal is

[tex]\binom53 \times 0.78^3 \times 0.22^2 \to 0.23[/tex]

Part B)

We are told that the police officer pulled over 5 drivers, 3 of them using turn signals. In this part, we are asked "what is the probability that the 5th driver uses the turn signal and only 2 of the previous four drivers use turn signals?".

[tex]0.78 \times \binom42 \times 0.78^2 \times 0.22^{4-2}\\\to 0.14[/tex]

Determine the state income taxes on a graduated income tax basis: Maurice Jordan's annual salary as a motorcycle mechanic is $18,750.00 paid in 26 pay periods. He is married.

Answers

Based on the state income tax rates, and Maurice's annual salary, he state income tax for Maurice is $820.63

How to find the state income taxes?

Maurice earns $18,750.00 per year so will have state income taxes of:

= (3,000 x 2%) + ((5,000 - 3,000) x 3%) + ((17,000 - 5,000) x 5%) + ((18,750 - 17,000) - 5.75%)

The state income tax is therefore:

= (3,000 x 2%) + ((5,000 - 3,000) x 3%) + ((17,000 - 5,000) x 5%) + ((18,750 - 17,000) - 5.75%)

= 60 + 60 + 600 + 100.625

= $820.63

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What is the Value of X?

Answers

Answer:

8.5

Step-by-step explanation:

180 - 102 = 78

78 + 68 + 4x = 180

146 + 4x = 180

4x = 180 - 146

4x = 34

x = 8.5

A'BC' is a dilation of ABC.
If the center of dilation was (0,0), what was the scale factor used to create the dilation?

Answers

Answer:

4

Step-by-step explanation:

ill explain it in the comments but trust me that is the answer

Maria practiced the piano for 2 1/2 hours last week and 1 3/4 hours this week.Use the bar diagram sections to construct a bar diagram that represents how many hours Maria practiced in the past 2 weeks.


How many hours did Maria practice the piano in the past 2 weeks?

Answers

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

How to illustrate the fraction?

From the information, Maria practiced the piano for 2 1/2 hours last week and 1 3/4 hours this week.

Therefore, the number of hours that Maria practiced in the past 2 weeks will be:

= 2 1/2 + 1 3/4

= 2 2/4 + 1 3/4

= 4 1/4 hours

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

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Can somebody help me write this in standard notation?

Answers

6.400

you go from the decimal and since it's positive you move to the right 3 times

Answer:

6400

Step-by-step explanation:

the exponent of the ten is the number of decimal spaces you move.

6.4(103)

=6.4*103

=6.4*(10*10*10)

=6400

If someone drives an average of 23,000 miles per year, how many gallons will he save in a year by increasing his tire pressure from 30 to 35 psi?

Answers

If someone drives an average of 23,000 miles per year, the number of  gallons he will save in a year by increasing his tire pressure from 30 to 35 psi is: 32 gal.

Number of gallons saved

First step is to find the number of gallon consumed at each pressure

30 psi=23,000/20.5 mpg

30 psi = 1,121.95 gal

35 psi=23, 000/ 21.1 mpg

35 psi =1,090.05 gal

Now let determine the gallon saved

Gallons saved =  1,121.95 gal- 1,090.05 gal

Gallons saved=31.9 gal

Gallons saved=32 gal (Approximately)

Therefore  If someone drives an average of 23,000 miles per year, the number of  gallons he will save in a year by increasing his tire pressure from 30 to 35 psi is: 32 gal.

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The complete question is:

When a​ car's tire pressure is 30 pounds per square inch​ (psi), it averages 20.5 mpg of gasoline. If the tire pressure is increased to 35​ psi, the car averages 21.1 mpg of gasoline.

If someone drives an average of 23,000 mi per​ year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35​ psi?

helpppppppppppppppppppp

Answers

Answer:

other answer is right

Step-by-step explanation:

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