Please someone help me answer this! Rico is making 6 batches of salsa. Each batch needs 3/4 cup of corn. He only has 1/4 cup measure. How many times must Rico measure 1/4 cup of corn to have enough for all the salsa?

Answer: A and D

I just worked on this!

Answer:

1 and 4... A and D

Step-by-step explanation:

Answer:

Null hypothesis: [tex] p_1 = p_2[/tex]

Alternative hypothesis: [tex] p_1 \neq p_2 [/tex]

So we need to conduct a:

D. A two-sample z-test for a difference in population proportions

Because the idea is to check if the population proportions in the states are similar or not.

Step-by-step explanation:

For this case they are trying two proof if there is a significant difference between two states in the percents of high school students who order yearbooks, and we chan check this with the difference of proportions.

Lets say that [tex]p_1,p_2[/tex] are the two proportions of interest and we want to check the following hypothesis:

We have the following info given:

[tex]\hat p_1 = \frac{70}{150}= 0.47[/tex] proportion of students that had ordered a yearbook from one state

[tex]\hat p_2= \frac{65}{100}= 0.65[/tex] proportion of students that had ordered a yearbook from another state

[tex]n_1 = 150[/tex] sample size from one state

[tex]n_2=100[/tex] sample size from another state

Null hypothesis: [tex] p_1 = p_2[/tex]

Alternative hypothesis: [tex] p_1 \neq p_2 [/tex]

So we need to conduct a:

D. A two-sample z-test for a difference in population proportions

Because the idea is to check if the population proportions in the states are similar or not.

Answer:

A is correct.

Step-by-step explanation:

Answer:

3.4%

Step-by-step explanation:

Ramons monthly salary is $1600

The electricity is $53.60

So, to find the percentage of his earnings spent on electrcity, we´re going to divide:

[tex]\frac{53.60}{1600} = 0.0335[/tex]

multiply that by 100 to get the percent

0.0335 x 100 = 3.35%

rounded to the nearest tenth would be 3.4%

i hope this helps!

Answer:

Step-by-step explanation: solution solved below

Final answer:

To find the conditional density of Λ given X = x, calculate the joint density function of X and Λ and apply the formula for conditional density.

Explanation:

The conditional density of Λ given X = x when Λ is a random variable with distribution Exponential(β) can be found as follows:

Calculate the joint density function of X and Λ.

Use the formula for conditional density: f(Λ|X=x) = f(X,Λ) / f(X=x).

Identify the type of the conditional density based on the distribution it follows.

Answer:

2,376

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the yards into inches and add a label at the end. You could also find out how many inches are in one yard and times the amount of inches you got from that one yard by 66.

Answer:

The solution for the system is the pair (6,1).

Step-by-step explanation:

The system has two equations and two variables, therefore i has only one solution. To solve it we will multiply the second equation by "-2". So we have:

2x-4y = 8

x + y = 7 *(-2)

2x - 4y = 8

-2x -2y = -14

We now sum boh equations:

2x -2x -4y -2y = 8 -14

-6y = -6

y = -6/-6 = 1

2x - 4(1) = 8

2x - 4 = 8

2x = 8 + 4

2x = 12

x = 12/2 = 6

The solution is the pair (6,1).

Answer:

The system has 2 solution .

Step-by-step explanation:

The equation is a simultaneous equation

2x - 4y=8 ............(i)

x + y=7................(ii)

make x the subject of the formula in equation (ii)

x = 7 - y

Substitute the value of x in equation(i)

2(7 - y) - 4y = 8

14 - 2y - 4y = 8

14 - 6y = 8

-6y =  8 - 14

-6y = -6

divide both sides by -6

y = 1

insert the value of  in equation (ii)

x + y = 7

x + 1 = 7

x = 7 - 1

x = 6

The system has 2 solution .

This question is incomplete because it lacks the diagram showing the leaf and stem plots

Find attached to this answer the diagram showing the Stem and leaf plots

Answer:

Only one Zoo has exactly 42 lizards

Step-by-step explanation:

If you check out the attached diagram , you will observe that there is a separation using a vertical line

In the diagram also we have been provided with a key which was explained as :

2|0 = 20 lizards

On the left hand side, we have number ranging from 0 - 6 arranged in a vertical form. On the right hand side we almost have numbers that are arranged in front of each number horizontally

Let me further explain the attached diagram

It is important to note that the numbers arranged vertically on the left are in the units of tens. Hence, using the given key :2l0

0|

1|

2| 0 6 8 8 8

This means , we have 20 lizards in one zoo, 26 lizards in one zoo, 28 lizards in 3 zoos

3| 0 2 6 6 7 8

30 lizards in one zoo, 32 lizards in one zoo, 36 lizards in 2 zoos , 37 lizards in one zoo and 38 lizards in one zoo

4| 1 2 6 6

We have 41 lizards in one zoo, 42 lizards in one zoo, and 46 lizards in two zoos

5l

6|

Based on the explanation given above, we can see that only one Zoo has exactly 42 lizards

Answer:20

Step-by-step explanation:

KHAN

Answer:

Step-by-step explanation:

[tex]6*10^{-5}= \frac{6}{100000}\\\\=0.00006[/tex]

Answer:

it would be 40 inche and there be not that much for the hole to left

Answer:

840 cubic squares

Step-by-step explanation:

Answer:

Median = 102

Step-by-step explanation:

To find the median we will following the steps below;

study the numbers, if they are not arrange from ascending to descending order, you try to do that.

87,98,106,82,111,120

82, 87, 98,106, 111, 120

Pick the middle number, if there is just one number that falls in the middle, that number is your median, but if there two numbers that falls in the middle, you add the two numbers and then divide by 2.

In this case, two numbers falls in the middle, so we will add and divide by 2

That is;

Median = 98 + 106   /2

              =204 /2

               =102

Median = 102

Answer:

Upper level = 2502 seats

Middle level = 5044 seats

Lower level = 7456 seats

Step-by-step explanation: given that

A baseball stadium holds 15,002 seats.

Let the Upper, middle and lower levels be represented as U, M and L respectively. And x = number of seat at the upper level

The lower level has 50 fewer than three times as many seats as the upper. That is

L = 3x - 50 .... (1)

The middle level has 40 more than twice as many seats as the upper level. That is

M = 2x + 40

Where L = x

x+ (2x + 40) + (3x - 50) = 15,002

You solved for x and found out the upper level has 2,502 seats . How many seats are in the lower level and how many seats are in the middle ?

That is x = 2502

Substitute x into equation 1

L = 3(2502) - 50

L = 7456 seats

Substitutes x into equation 2

M = 2(2502) + 40

M = 5044 seats

Answer: 157.5

Step-by-step explanation: To get the volume of an object you must multiply the width x height ÷ it by 2 x length

Therefore 7 x 5 = 35 ÷ 2 = 17.5

17.5 x 9 = 157.5

Answer:

157.5

Step-by-step explanation:

The first step is to find the area of the triangular base. The formula for the area of a triangle is bh/2, or in this case 5×7/2=17.5. Multiplying this by the length of the prism, you get 9×17.5=157.5. Hope this helps!

Final answer:

The square root of 685 lies between 26 and 27. To the nearest integer, the estimate is 26, and to the nearest tenth, the estimate is 26.2, given that it is roughly 9/53 of the way from 26 to 27.

Explanation:

To estimate the square root of 685 to the nearest integer and tenth, we have to determine which two perfect squares it lies between. The perfect square closer to 685 without going over is 676 (√676 is 26), and the next perfect square is 729 (√729 is 27). Thus, the square root of 685 lies between 26 and 27.

To estimate to the nearest integer, we would round √685 to 26, as it's closer to 676. For the nearest tenth, we need to see how much 685 exceeds 676. It exceeds by 9, and since 729-676 is 53, 685 is roughly 9/53 of the way from 26 to 27. So, a quick estimation for √685 to the nearest tenth could be 26 + (9/53)*1 which is approximately 26.2. Therefore, the estimated value of the surd √685 to the nearest tenth would be 26.2.

Answer:

[tex]x\geq 60[/tex] where x denotes height of Allie

Step-by-step explanation:

An inequality compares two values. One value is less than, greater than, or not equal to another value.

Given: Allie is waiting to be tall enough to ride the thunder dragon roller coaster. You have to be at least 60 inches to ride.

To write: an equality

Solution:

Let the height of Allie be x inches.

As a person has to be at least 60 inches to ride,

the inequality can be [tex]x\geq 60[/tex]

Answer:

1 small bags and 5 large bags

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: number of small bag

let y: number of large bag

So:

5 * x + 8 * y = 45

x + y = 6 => x = 6 - y

Replacing, we are left with that:

5 * ( 6 - y) + 8 * y = 45

30 - 5 * y + 8 * y = 45

- 5 * y + 8 * y = 45 - 30

3 * y = 15

y = 15/3

y = 5

Now to calculate x:

x = 6 - 5

x = 1

this means that 1 small bag and 5 large bags

Answer:

he bought 1 bag of small apple and 5 bags of Large apple

Step-by-step explanation: given that A small bag of apples = $5 and

A large bag = $8.

If you bought 6 bags and spent $45,

Let number of small apple be S

And large Apple be L

L + S = 6 ....... (1) ×8

8L + 5S = 45 .......(2)

Solve equation 1 and 2 simultaneously

8L + 8S = 48

8L + 5S = 45

Eliminate L

3S = 3

S = 1

Substitute S in equation 1

L = 6 - 1 = 5

Therefore, he bought 1 bag of small apple and 5 bags of Large apple

Answer: One book has a greater mass.

Step-by-step explanation:

Jamal has a pair of shoes with a total mass of 960 grams. This means that each shoe has a mass of:

960 grams ÷ 2= 480 grams per shoe.

Jamal also has four identical books with a total mass of 2 kilograms. Note that 1000 grams make a kilograms. Therefore 2 kilograms will be (2 × 1000 grams) = 2000 grams.

Each book will have a mass of:

2000 ÷ 4 = 500 grams per book.

One shoe has a mass of 960 divided 2 = 480 grams . One book has a mass of 2000 divided 4 = 500 grams . So one book has a greater mass.

Answer:

The rate of the slower car is 69km/hr

Step-by-step explanation:

Please kindly check the attached files for explanation.

Answer:

It is the first choice. (A)

Step-by-step explanation:

Red line: y = 2x + 1

Blue line: y = -4x + 7

To calculate the difference in area between two circular pizzas, first compute the area of each using the formula A = πr². After finding the areas, subtract the smaller area from the larger one to find the difference. The result is approximately 201 square inches.

The question involves calculating the area of two circles and finding the difference between the two. First, we need to find the radius of each pizza. Since the diameter is twice the radius, the large pizza has a radius of 10 inches (20 inches divided by 2), and the small pizza has a radius of 6 inches (12 inches divided by 2). The area of a circle is calculated using the formula A = πr², where π is approximately 3.14159, and r is the radius.

The area of the large pizza is A = π(10 inches)² = π * 100 inches² = 314.16 inches² (rounded to two decimal places). The area of the small pizza is A = π(6 inches)² = π * 36 inches² = 113.10 inches² (rounded to two decimal places). To find the difference, we subtract the area of the small pizza from the area of the large pizza, which gives us 314.16 inches² - 113.10 inches² = 201.06 inches², which is closest to 201 inches².

Answer:

Hence Perimeter for  new rectangle will be 27 units .

Step-by-step explanation:

Given:

A rectangle with enlarged factor of 1.5

L=7 and W=2

To Find:

Perimeter for new rectangle

Solution:

First calculate the new dimensions for new rectangle ,

Given that original length and width as 7 and 2 respectively and it is increasing by 1.5 times of the original ones

So

New length =1.5 *L

=1.5 *7

=10.5 units

And for width,

New width=1.5 *W

=1.5 *2

=3

Hence New dimensions are 10.5 and 3 units .

So perimeter of new rectangle =2(New length + New breadth)

=2(10.5+3)

=2(13.5)

=27 units

0.7579 is the best point for the proportion of students at the college who have completed their required English 101 course.

Step-by-step explanation:

"The proportion is written in the fraction form as required number in the numerator and the total number in the denominator."

Here, the 95 students at a college were asked whether they had completed their required English 101 course.

So, the total students = 95

It is given that, 72 students said "yes".

So, the number of completed students = 72

To estimate the best point for the proportion of students who completed their  English 101 course :

Now, the numerator is the no.of students who have completed their required English 101 course.

Proportion = 72 / 95

⇒ the best point is calculated as 72 divided by 95

⇒ 0.7579 (round to four decimal places).

Vincent will be able to buy the sneakers.

1. David: $90

  - David's total cost: $91.16

  - David cannot afford the sneakers.

2. Vincent: $95

  - Vincent's total cost: $93.74

  - Vincent can afford the sneakers.

To determine who will be able to buy the sneakers, let's calculate the total cost including sales tax for each boy:

1. David:

  - Sneaker cost: $86

  - Sales tax rate: 6%

  - Total cost [tex]\(= 86 + 0.06 \times 86\)[/tex]

  - Total cost [tex]\(= 86 + 5.16\)[/tex]

  - Total cost [tex]\(= 91.16\)[/tex]

2. Vincent:

  - Sneaker cost: $86

  - Sales tax rate: 9%

  - Total cost [tex]\(= 86 + 0.09 \times 86\)[/tex]

  - Total cost [tex]\(= 86 + 7.74\)[/tex]

  - Total cost [tex]\(= 93.74\)[/tex]

Answer:

Sample Response:

Mercury is used for making thermometers, barometers, diffusion pumps, and other laboratory instruments. It can also be used to make mercury-vapor lamps, advertising signs, and mercury switches as well as pesticides, dental preparations, batteries, and catalysts.

Mercury is used for making thermometers, barometers and mercury switches

Mercury is used for making thermometers, barometers, diffusion pumps, and other laboratory instruments.

It can also be used to make mercury-vapor lamps, advertising signs, and mercury switches as well as pesticides, dental preparations, batteries, and catalysts.

Therefore, the three uses of mercury are making thermometers, barometers and mercury switches

Learn more about Mercury here;

https://brainly.com/question/31856953

#SPJ6

Answer:

The radius is decreatsing at a rate 0.78 cm per second.

Step-by-step explanation:

We are given the following in the question:

[tex]\dfrac{dl}{dt} = 0.7\text{ cm per second}[/tex]

Instant radius,r = 2 cm

Instant length,l = 9cm

The radius of the cylinder decreases.

Volume of cylinder =

[tex]V =\pi r^2l[/tex]

Since the volume of the cylinder does not changes, we can write:

[tex]\dfrac{dV}{dt}=0[/tex]

Rate of change of volume:

[tex]\dfrac{dV}{dt} = \pi(2r\dfrac{dr}{dt}l + r^2\dfrac{dl}{dt})[/tex]

Puttiung values, we get

[tex]0 = \pi(2(2)\dfrac{dr}{dt}(9) + (2)^2(0.7))\\\\\dfrac{dr}{dt}=-\dfrac{4\times 0.7}{4\times 9} \approx -0.78[/tex]

Thus, the radius is decreatsing at a rate 0.78 cm per second.

Using differentiation, it is found that the radius is increasing at a rate of 0.35 cm/second.

The length of a cylinder is the diameter, which is double the radius, hence:

[tex]l = 2r \rightarrow r = \frac{l}{2}[/tex]

Applying differentiation, the rate of change of the radius is given by:

[tex]\frac{dr}{dt} = \frac{1}{2}\frac{dl}{dt}[/tex]

We are given that the rate of change of the length is [tex]\frac{dl}{dt} = 0.7[/tex], hence:

[tex]\frac{dr}{dt} = \frac{1}{2}\frac{dl}{dt} = \frac{1}{2}(0.7) = 0.35[/tex]

The radius is increasing at a rate of 0.35 cm/second.

A similar problem is given at https://brainly.com/question/9543179

Answer:

  5.7 cm or 2 1/4 in

Step-by-step explanation:

Your tape measure is not shown.

  On my tape measure, 5.7 cm is the closest mark. On the inch scale, 2 1/4 inches is the next-closest mark.

_____

On a tape measure graduated in 1/32 inch between 2 and 3 inches, you can find the closest mark by rounding to the nearest 32nd:

  2.23607 × 32 ≈ 71.55 ≈ 72 --- 32nds of an inch

  72/32 = 2 1/4 . . . . the closest mark on an inch ruler graduated in 32nds

__

For a ruler graduated in millimeters, you can find the closest millimeter in the same way. There are 25.4 mm to the inch.

  2.23607 in × 25.4 mm/in ≈ 56.80 mm ≈ 57 mm

  57 mm = 5.7 cm . . . closest mark on metric scale

__

When we check the error, we find the metric mark is closer than the inch mark.

  5.7 cm ≈ 2.24409 in . . . . error of 0.00802 in

  2 1/2 in = 2.25000 in . . . error of 0.01393 in

Final answer:

The mark on the tape measure closest to 2.23607 inches is just above 2 3/16 inches, which can be more precisely measured with a tape measure that features millimeter or half-millimeter markings.

Explanation:

The student has asked which mark on the tape measure is closest to 2.23607 inches. To answer this question, we must consider the precision of the measuring device. When using a ruler without millimeter markings, such as the bottom ruler mentioned, the measurement can be understood in tenths of a centimeter. This would make it difficult to conclusively measure and report on the hundredths digit for a length.

Conversely, using a tape measure with millimeter or even half-millimeter markings (akin to the top ruler), the user can measure more precisely. Given that 1 inch equals 2.54 centimeters, 2.23607 inches would be approximately 5.679818 centimeters. This would be between the 2.5 cm and 2.6 cm marks on a metric tape measure or between 2 3/16 inches and 2 1/4 inches on an imperial tape measure; 2.23607 inches is very close to, but slightly above, 2 3/16 inches, so this would be the mark on an imperial tape measure that is closest to 2.23607 inches.

Answer:

16

Step-by-step explanation:

a coin is 2 sided thus has 2 out comes so doing it 8 times = 16 outcomes

Answer: x - 4 = 9  (x will equal 13)

What I did was since 4 is less than 13 we could use 13-4 since 4 is less than 13.

13-4 will get u 9 so that x will equal 13

13-4=9

Answer:

Answer: x - 4 = 9  

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

If a is positive, the parabola opens up or to the right. If it's negative it does the opposite.

Answer:

The null hypothesis was not rejected at 1% and 5% level of significance, but was rejected at 10% level of significance.

Step-by-step explanation:

The complaints made by the customers of a bottling company is that their bottles are not holding enough liquid.

The company wants to test the claim.

Let the mean amount of liquid that the bottles are said to hold be, μ₀.

The hypothesis for this test can be defined as follows:

H₀: The mean amount of liquid that the bottles can hold is μ₀, i.e. μ = μ₀.

Hₐ: The mean amount of liquid that the bottles can hold is less than  μ₀, i.e. μ < μ₀.

The p-value of the test is, p = 0.054.

Decision rule:

The null hypothesis will be rejected if the p-value of the test is less than the significance level. And vice-versa.

        The p-value = 0.054 > α = 0.01.

        The null hypothesis was failed to be rejected at 1% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is μ₀.

        The p-value = 0.054 > α = 0.05.

        The null hypothesis was failed to be rejected at 5% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is μ₀.

        The p-value = 0.054 < α = 0.10.

        The null hypothesis will be rejected at 10% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is less than μ₀.