Mathematics High School

Choose the greatest of the four
rational numbers below.
A. 1.3
B. 1/3
C. 13%
D. 1.33

Answers

Answer 1

Answer:

D 1.33

Step-by-step explanation:

B and C are less than 1

A is one and .30

D is one and .33

33>30

Answer 2

Answer:

1.33

Step-by-step explanation:

Both the fraction and the percent are less than 1. You just have to compare 1.3 and 1.33, and 1.33 is greater.

Related Questions

let a=⎡⎣⎢00−3−6000−30⎤⎦⎥. define the linear transformation t:r3→r3 by t(x⃗ )=ax⃗ . find the images of u⃗ =⎡⎣⎢432⎤⎦⎥ and v⃗ =⎡⎣⎢abc⎤⎦⎥ under t.
t(u⃗ )=
t( v⃗ )=

Answers

The vector T(u ) is <-9, 0, 30>. T(v ) is <3a, -2b, -6c>.

To find the images of vectors u and u under the linear transformation T, we simply multiply each vector by the matrix A.

Given A = [3 0 0 , 0 -2 0 , 0 0 -6], we can compute:

T(u ) = A * u

= [3 0 0 , 0 -2 0 , 0 0 -6] * <-3, -3, -5>

= <-3 * 3, -3 * 0, -5 * (-6)>

= <-9, 0, 30>

Therefore, T(u ) = <-9, 0, 30>.

For vector v = <abc>, we can compute:

T(v ) = A * v

= [3 0 0 , 0 -2 0 , 0 0 -6] * <a, b, c>

= <3a, -2b, -6c>

Therefore, T(v ) = <3a, -2b, -6c>.

Note: In the given vector v = <abc>, a, b, and c represent the respective components of the vector, but their specific values are not provided.

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What’s the answer? Not sure if it’s correct. Pls help me

Answers

Answer:

y = 6

Step-by-step explanation:

hope it's helpful :)

Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill
was $99, how many people ordered each dinner?

Answers

Answer:

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5

Step-by-step explanation:

Let

x = number of people who order chicken dinner

y = number of people who order the steak dinner

x + y = 6 (1)

14x + 17y = 99 (2)

From (1)

x = 6 - y

Substitute into (2)

14x + 17y = 99 (2)

14(6 - y) + 17y = 99

84 - 14y + 17y = 99

- 14y + 17y = 99 - 84

3y = 15

y = 15/3

y = 5

Substitute y = 5 into (1)

x + y = 6 (1)

x + 5 = 6

x = 6 - 5

x = 1

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5

The null and alternate hypotheses are:
H0 : μd ≤ 0
H1 : μd > 0
The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month.
Day
1 2 3 4
Day shift 10 12 15 19
Afternoon shift 8 9 12 15
At the 0.05 significance level, can we conclude there are more defects produced on the day shift? Hint: For the calculations, assume the day shift as the first sample.
State the decision rule. (Round your answer to 3 decimal places.)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
What is the p-value?
multiple choice 1
Between 0.0005 And 0.005
Between 0.05 And 0.1
Between 0.005 And 0.05
What is your decision regarding H0?
multiple choice 2
Reject H0
Do not reject H0

Answers

We can infer that there are more flaws caused on the day shift at the 0.05 significance level.

To determine if there are more defects produced on the day shift compared to the afternoon shift, we can conduct a one-tailed paired t-test. Let's go through the steps:

1. Null and alternate hypotheses:

H0: μd ≤ 0 (There is no significant difference or the day shift has fewer defects)

H1: μd > 0 (There are more defects on the day shift)

2. Sample information:

Day: 1 2 3 4

Day shift: 10 12 15 19

Afternoon shift: 8 9 12 15

3. Calculate the differences:

We calculate the difference between the day shift and afternoon shift for each day:

d = (Day shift) - (Afternoon shift)

d = 10-8, 12-9, 15-12, 19-15

d = 2, 3, 3, 4

4. Calculate the mean and standard deviation of the differences:

Mean (xd) = (2+3+3+4)/4 = 3

Standard deviation (sd) = √[(Σ(d-xd)²)/(n-1)]

= √[(0²+1²+1²+2²)/3]

≈ √(6/3)

≈ √2

≈ 1.414

5. Calculate the test statistic:

t = (xd - μd)/(sd/√n)

= (3 - 0)/(1.414/√4)

= 3/0.707

≈ 4.243

6. Degrees of freedom:

Degrees of freedom (df) = n - 1 = 4 - 1 = 3

7. Decision rule:

Since we are conducting a one-tailed test at the 0.05 significance level, the critical t-value is obtained from the t-distribution table for df = 3 and α = 0.05. The critical t-value is approximately 2.920.

8. Decision regarding H0:

If the calculated test statistic (t) is greater than the critical t-value, we reject H0. Otherwise, we do not reject H0.

9. P-value:

To find the p-value associated with the calculated test statistic, we need to look it up in the t-distribution table or use statistical software. The p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming H0 is true. In this case, the p-value is less than 0.005 (Between 0.0005 and 0.005).

Summary:

- Decision rule: Since the calculated test statistic (4.243) is greater than the critical t-value (2.920), we reject H0.

- The p-value is less than 0.005.

- Decision regarding H0: We reject H0.

Therefore, at the 0.05 significance level, we can conclude that there are more defects produced on the day shift.

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Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she graduates, and she is curious about what starting salary offers she might receive. There are 140 seniors in the graduating class for her major, and more than half have received job offers. She asked 12 of her classmates at random what their annual starting salary offers were, and she received the following responses: $28,500 $35,500 $32,600 $36,000 $34,000 $25,700 $27,500 $29,000 $24,600 $31,500 $34,500 $26,800 Assume that starting salaries are normally distributed. Compute the mean and standard deviation for these data and determine the probability that Agnes will receive a salary offer of less than $27,000.

Answers

Answer:

Mean = 30516.67

Standard deviation, s = 3996.55

P(x < 27000) = 0.0011518

Step-by-step explanation:

Given the data:

28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800

Mean, xbar = Σx / n = 366200 /12 = 30516.67

Standard deviation, s = [√Σ(x - xbar) / n-1]

Using calculator, s = 3996.55

The ZSCORE = (x - mean) / s/√n

Zscore = (27000 - 30516.67) / (3996.55/√12)

Zscore = - 3516.67 / 1153.7046

Zscore = - 3.048

P(x < 27000) = P(Z < - 3.049) = 0.0011518

katie has 4 grapes candies and 3 cherries candies. The ratio of the number of grapes candies to the total number of candie is

Answers

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

a sack contains n unbiased coins. among them, n-1 coins are normal (i.e., head on one side andtail on the other side), and one coin is fake, having heads on both sides. you pick a coin,uniformly at random, from the sack and flip it twice. you get heads both times. what is theconditional probability that you picked the fake coin?

Answers

The conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

Let E be the case where you choose the bogus coin and F be the case where you got heads twice. We wish to calculate P(E|F), which is the likelihood that you chose the fake coin given that you received heads twice.

By Bayes' theorem, we have:

P(E|F) = P(F|E)P(E) / P(F)

We can calculate each term on the right-hand side as follows:

P(F|E) = 1, Because the fake coin contains heads on both sides and always results in two heads when flipped.

P(E) = 1/n, since there is only one fake coin among n coins.

P(F) = P(F|E)P(E) + P(F|not E)P(not E), where not E is the event that you picked a normal coin. We can calculate:

P(F|not E) = (n-1) * (1/2)^2 = (n-1)/4, Because each normal coin has a 50% chance of revealing heads on each given flip and there are n-1 normal coins

P(not E) = (n-1)/n, since there are n-1 normal coins among n coins.

Therefore, we have:

P(F) = 1 * (1/n) + (n-1)/4 * (n-1)/n = (3n-1)/(4n)

Substituting these values into Bayes' theorem, we get:

P(E|F) = 1 * (1/n) / ((3n-1)/(4n)) = 4/(3n-1)

Thus, the conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

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What does -(-5+(-8))-(-9-2) equal using bedmas (with steps)

Answers

Answer:

= 24.

Step-by-step explanation:

-(-5+(-8))-(-9-2)

= -(-5-8)-(-9-2)

= 5 + 8 + 9 + 2

= 13 + 11

= 24

What is the equation of the line that passes through the point (8, -4) and
has a slope of 1/2

Answers

Answer:

$y = \frac{1}{2}x - 8$

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

$y = mx + b$

Where ($m$) is the slope of the line, also known as the change in the line and $(b)$ is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

$y = mx + b$

Substitute in the slope,

$y = \frac{1}{2}x + b$

Substitute in the point,

$-4 = \frac{1}{2}(8) + b$

Simplify,

$-4 = 4 + b$

Inverse operations,

$-4 = 4 + b\\-4\\\\-8 = b$

3. Putting it all together,

Now, that one has y-intercept, ($-8$); use the given slope and the formula $y = mx + b$, substitute in all the information.

$y = \frac{1}{2}x - 8$

Completing the Square examples frayer models

Answers

Answer:

That's it nothing else?

Step-by-step explanation:

what is the gradient of the line shown?

Answers

Answer:

Step-by-step explanation:

m=y2-y1/x2-x1

=8-4/4-0

1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth

a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.

b). if X = 2 m, find the actual dimensions of the carpet.

c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?

Answers

Answer:

a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000

Answer:

answers in photo / +explanation

Step-by-step explanation:

length: x+2

width/breadth: x-1

length: 4m

width/breadth: 1m

area: 4m²

R1000

1. The area of a rectangular carpet is X + X - 2. HINT: Area = length X breadth a). if X is a whole number,

You have 80 grams of tellurium how much will be left after 8 months if it’s half-life is 2 months?

Answers

Answer:

5 grams.

Step-by-step explanation:

First, find out how many half-lives have passed. Divide the number of months by the length of a half-life.

8÷2=4

4 half-lives have passed.

Now figure out how much tellurium will be left after 4 half-lives have passed. Multiply the starting amount of tellurium by $\frac{1}{2}$ a total of 4 times.

80 · $\frac{1}{2}$·$\frac{1}{2}$·$\frac{1}{2}$·$\frac{1}{2}$ = 5

That calculation could also be written with exponents

80 · $(\frac{1}{2} )^{4}$ = 5

After 4 half-lives, the amount of tellurium left will be 5 grams.

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
What is the length of the kite?
10 8/15 ft
7 ft
4 2/3 ft
5 2/3 ft

Answers

The length of the kite and the tail are $4\frac{2}{3}$ and $10\frac{5}{6}$ ft respectively.

How to find the length of the kite and tail?

The tail of the kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long.

The length of the tail and the kite can be found as follows:'

let

length of kite = x

Therefore,

length of the tail = 1.5 + 2x

Together the length of kite and tail is 15.5 ft

Hence,

1.5 + 2x + x = 15.5

1.5 + 3x = 15.5

3x = 15.5 - 1.5

3x = 14

x = 14 /3

x = $4\frac{2}{3}$ ft

length of the tail = 1.5 + 2(14 / 3)

length of the tail = 1.5 + 28 / 3

length of the tail = 65 / 6 = $10\frac{5}{6}$ ft

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How to do this question plz answer my question plz

Answers

Answer:

The total distance around the running track is 194.3 m

Step-by-step explanation:

Here, we are interested in calculating the distance around the running track.

We have two semi-circles of diameter 30m and two parallel straight lines of length 50m

Firstly let’s add the parallel straight lines, we have 50 + 50 = 100 m

Now these two semicircles when joined together gives a full circle. And since they are of same diameter, by calculating the circumference of the full circle, we can have the length around the two bends

Mathematically, that would be; πd

The circumference is thus; 22/7 * 30 = 94.29 m

Thus, the length of the running track will be 100 + 94.3m = 194.3m

What is the formula for converting a milliliter to a liter?

Answers

Converting milliliters to liters is a simple process that involves dividing the number of milliliters by 1,000. This formula will give you the equivalent number of liters for a given number of milliliters, which can be useful in a variety of contexts.

Converting between different units of measurement is an important skill in many fields, including science, engineering, and medicine. One common conversion is between milliliters (mL) and liters (L), which are both units of volume. In this case, converting milliliters to liters involves dividing the number of milliliters by a certain factor.

The formula for converting milliliters to liters is straightforward. One liter is equal to 1,000 milliliters. Therefore, to convert a given number of milliliters to liters, we simply divide that number by 1,000. The formula is as follows: L = mL / 1,000

For example, let's say we want to convert 5,000 milliliters to liters. Using the formula, we would divide 5,000 by 1,000, which gives us 5.0 liters. So, 5,000 milliliters is equivalent to 5.0 liters.

It's also worth noting that in many cases, you may find milliliter as a unit of measurement to specify the volume of medication or other small liquid quantities, while liters are commonly used to measure larger volumes of liquid such as fuel, water or container volume.

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6(x-2)/12=2(x+1)/7
What does x equal?

Answers

Answer:

x=6

Step-by-step explanation:

1. First, distribute the numerator. That leaves you with:

$\frac{6x-12}{12} =\frac{2x+2}{7}$

2. Now, cross multiply. You should have:

$7(6x-12)=12(2x+2)$

3. Next, simplify and solve the equation for x. You should have:

$7(6x-12)=12(2x+2)$

$42x-84=24x+24\\42x=24x+108\\18x=108x=6$

Marshall is writing an equivalent equation to solve for x. what should be his next step? 5 x 4 y = 8. 5 x 4 y minus 4 y = 8 minus 4 y. 5 x = 8 minus 4 y. add 5x to both sides of the equation. subtract 5x from both sides of the equation. multiply both sides of the equation by 5. divide both sides of the equation by 5.

Answers

The next step of marshall should be divide both sides of the equation by 5.

Given:

Marshall is writing an equivalent equation to solve for x. what should be his next step.

5 + 4 y = 8.

5+4y-4y = 8-4y

5x = 8 - 4y

To solve for x:

The correct step is:

divide by 5 on both sides

5x/5 = 8-4y / 5

x = 8/5 - 4y/5

x = 1/5(8-4y).

Answer:

50 kg

Step-by-step explanation:

6/30 = 5 which means she makes 5 kg every hour

so with the given information you multiply 5 and 10 and that's how you get 50

i hope this helps! :)

While playing a video game, Keenan scored 2,272 points. He and his cousin together
have a total of 99,560 points. How many points does Keenan's cousin have?

Answers

Answer:

97,288

Step-by-step explanation:

if im pretty sure like they subtract

Answer:

97,288

Step-by-step explanation:

I know how to do this, but for some reason got it wring on a Test. Can someone demonstrate how to do it so that I know what I'm doing wrong?

Answers

Answer:

Answer on a graph

HELP!
Choose all that give the correct expression for the quantity described.
The difference of nine times a number x and the quotient of that number and 5.
9x − x over 5
Eight more than the quotient of twelve and a number n.
n over 12 + 8
The product of a number and the quantity ’six minus the number’ plus the quotient of eight and the number.
x(6 − x) + 8 over x
Sum of three consecutive even integers.2x + (2x + 2) + (2x + 4)

Answers

uhm that’s confusing i have no idea

Answer:

did u ever get on answer cause I'm stuck in this too

Step-by-step explanation:

What happens to ena if the extracellular concentration of sodium ([na]o) is increased by a factor of 10? factor of 100? decreased by a factor of 10?

Answers

Equilibrium potential increases by 2.303 times when Na is increased by factor 10.

Equilibrium potential increases by 4.606 times Na is increased by factor 100.

Equilibrium potential decreases by 4.606 times Na is decreased by factor 100.

Given,

Sodium ion

Here,

Using nernst equation,

E = RT/nF $ln\frac{Na_{ex} }{Na^+_{in} }$

E = 58mV

When ${Na_{ex}$ increased by a factor of 10,

E' = RT/nF ln(10 Na)/Na

E/E' = 1/ln(10)

E/E' = 1/2.303

E' = 2.303E

Thus equilibrium potential increases by 2.303 times.

Now when Na is increased by a factor of 100

E' = 4.606E

Equilibrium potential increases by 4.606 times.

Now when Na is decreased by a factor of 100

E' = 4.606E

Equilibrium potential decreases by 4.606 times.

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Complete question is attached below.

What happens to ena if the extracellular concentration of sodium ([na]o) is increased by a factor of

Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D

Answers

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

what is the answer to 15-2x=-7x= solve for x

Answers

Answer:

-3 is what I got

Step-by-step explanation:

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Choose the greatest of the four rational numbers below. A. 1.3 B. 1/3 C. 13% D. 1.33

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Choose the greatest of the four
rational numbers below.
A. 1.3
B. 1/3
C. 13%
D. 1.33