Given: SIn(A)= 4/5 ,pi/2 < A< pi and sin(B)= -2square5/5, pi < B < 3pi/2

What is the value of cos(A-B)

A. -2square5/25
B. -square5/5
C. 2square5/5
D. 11square5/25

Answer:

2 and 6

Step-by-step explanation:

2 and 6 is the correct option

False. The frequency polygon and the histogram are two different ways to represent data, and they have distinct characteristics.

A frequency polygon is a line graph that displays the distribution of a quantitative variable. It shows the frequency of each value or class interval on the horizontal axis and the corresponding frequencies on the vertical axis. The points on the graph are connected to form a line, which gives a visual representation of the data distribution.

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Answer:

I think you need to combine the equations, which would end with 26x - 2, and to solve for x just isolate it by adding to the other side which would look like 26x = 2

Then divide 26 on both sides, 26x/26 = 2/26

You should end with x = 1/13

Answer:

W=16

Step-by-step explanation:

46=2(L+W)

46=2(7)+2(W)

46-14=2W

32/2=2W/2

W=16

Answer:

it will take 6 years.

Step-by-step explanation:

4% of 800 is 32. 992 - 800 is 192. 192 / 32 is 6. So therefore it will take 6 years. :)

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 992\\ P=\textit{original amount deposited}\dotfill & \$800\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years \end{cases} \\\\\\ 992 = 800[1+(0.04)(t)] \implies \cfrac{992}{800}=1+0.04t\implies \cfrac{31}{25}=1+0.04t \\\\\\ \cfrac{31}{25}-1=0.04t\implies \cfrac{6}{25}=0.04t\implies \cfrac{6}{25(0.04)}=t\implies 6=t\)

The equation for the regression line that predicts the probability of default in percent using the credit score as the explanatory variable can be given as follows: Probability of Default in Percent = a + b(Credit Score)

where a is the y-intercept and b is the slope of the regression line. The y-intercept represents the value of the dependent variable when the independent variable is zero, while the slope represents the rate of change in the dependent variable for every one-unit increase in the independent variable.

For instance, a credit score of 650 can have a probability of default of 5%. This implies that the probability of default in percent can be predicted as:

Probability of Default in Percent = a + b(650)

where the coefficient of determination (r²) can be used to assess the degree of relationship between the probability of default in percent and credit score.

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Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

This is an example of a c)confounding variable. A confounding variable is a type of bias that occurs when the researcher is unable to accurately determine the cause of the results.

In this case, the researchers cannot tell if the difference in yield between soybean type 1 and soybean type 2 is a result of the superiority of type 1 soybeans or the drought, so the drought is the confounding variable.

To accurately determine the cause of the difference in yield, a bias-matched pairs design should be used. This involves replicating the experiment by planting both soybean types in the same location with and without the drought, and then comparing the results.

This would reveal whether the difference in yield was actually caused by the superiority of type 1 soybeans or the drought.

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Answer:

confounding variable

Step-by-step explanation:

I got it right on the test :)

The number of seats in each row of the hall is 40

Given that there are 3200 seats overall and that there are twice as many rows as there are seats in each row.

The total capacity of the hall=3200

Number of rows= 2 ( number of seats in each row)

Let's assume the number of seats in each row=x

⇒Number of rows=2x

The total capacity of the hall = (number of rows)( number of seats in each row)

The total capacity of the hall=3200

3200 = (2x) × (x)

[number of rows=2x, number of seats in each row=x]

3200 = 2\(x^{2}\)

1600=\(x^{2}\)

x=40

There are 80 rows with 40 seats in each row.

Hence, the Number of seats in each row=40 and the Number of rows=80

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The equation for inequality is w ≤ 75.

"Inequality" refers to a relationship between expressions or values that are not equal to one another. Therefore, inequality results from imbalance.

When two quantities are equal, we use the symbol "=," and when they are not equal, we use the symbol "≠". In the event that two things are not equivalent, the principal worth can be either more prominent than (>) or lesser than (<) or more prominent than equivalent to (≥) or not exactly equivalent to (≤) the subsequent worth.

Given the condition a light bulb can be no more than 75 watts,

here "no more than" means "less than or equal to".

the sign for "less than or equal to" is ≤

and let the watt of bulb is given by w

equation is w ≤ 75.

Hence, equation is w ≤ 75.

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Answer:

9

Step-by-step explanation:

area of a right angled triangle is half×base×height

Answer:

Area = 9

Step-by-step explanation:

The area of a triangle is 1/2 the base times the height:

A = 1/2bh

To solve, simply substitute the numbers:

A = 1/2(3)(6)

A = 1/2(18)

A = 9

Answer: B) 0.50x+15=25

Step-by-step explanation:

So we know she earns 15 dollars each week and she wants to get 25 dollars.

So far our equation is ?+15=25

For every customer on her paper route she gets $0.50. For 1 customer she'd get $0.50. For 2 she'd get $1. As you can see the customers she gets is multiplied by 0.50 to see how much money she makes. So, for x customers she'd get 0.50x dollars.

So now we can add that to our equation

0.50x+15=25

Answer:

The number is -60

Step-by-step explanation:

Assume, the unknown number is x

Let's write an equation according to the given information:

\( \frac{x}{ - 4} = 15\)

Cross-multiply to find x:

\(x = ( - 4) \times 15 = - 60\)

Answer:she will have 4.44 ounces of cornstarch left

Step-by-step explanation: 1 pound=16 ounces 16*5=80 ounces 80 ounces equal 5 pounds then you divide 80 by 18 and your answer should come out as 4.44 ounces

Amount of cornstarch left is 8 ounce

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

Total amount of cornstarch = 5 pound

Find:

Amount of cornstarch left

Computation:

Amount of total cornstarch to student = Each student get × Total number of student

Amount of total cornstarch to student = 4 × 18

Amount of total cornstarch to student = 72 ounce

1 pound = 16 ounces

So,

Total amount of cornstarch = 5 × 16

Total amount of cornstarch = 80 ounces

Amount of cornstarch left = 80 - 72

Amount of cornstarch left = 8 ounce

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Hey there mate !

Check my attached image for answer.

Have a great day!

The equations are x + y = 34 and 12x + 8y = 312. The number of adults and children will be 10 and 24, respectively.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'x' and 'y' be the number of adults and children, respectively. Then the equation is given as,

x + y = 34               ...1

12x + 8y = 312        ...2

From equations 1 and 2, then we have

12x + 8(34 - x) = 312

12x + 272 - 8x = 312

4x = 40

x = 10

The value of 'y' is calculated as,

10 + y = 34

y = 24

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Answer:

can you please explain more?

Step-by-step explanation:

The answer would be more clear if you gave more info

Answer:

(X,y)=(15/2,25/4) thanks for all the answers

5) Answer:

\(2b^{2} c\)

6) Answer:

\(4x^{6} \)

The answer for the first equation is option C. And option A is the answer for the second equation.

Answer:

cannot see it

Step-by-step explanation:

i cant see it at ALL

As per the standard deviation, the average number of hours per week spent studying for students at her college is less than 17 hours per week.

The term standard deviation is defined as the statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Here we have given that one faculty member in statistics believed the average number of hours/week spent studying stat 200 was 4, but most other faculty members think it is less than 4. the faculty want to see if the average is less than 4. (the sample average was 3.7 hours/week with a sample standard deviation of 1.8 hours/week) and we need to find analysis should they use.

While we reading the question, we know that

Sample average = 3.7

Standard deviation = 1.8

Then the null and alternative hypothesis is written as,

p-value = P(z ≤ 29.07) = 1.0000

Rejection Rule is Reject H0 if p-value < a

p-value 1.0000 > a = 0.05

Therefore,  the conclusion said that here we do Not Reject H0

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Answer:

You will have 4 dollars left

Step-by-step explanation:

Assuming from the question, you start with 10 dollars. You lose 75 cents for each games. If you play 8 games, you multiply 0.75 by 8 to get 6. Then you subtract 6 from 10 to get your remaining money, which is 4 dollars

Answer:54 degrees

Step-by-step explanation:

If u want to find non you subtract the degrees you already have so it's would be 80-34=54

Answer:

the answer is 0.378 ml

.......

Answer:   0.378 liters

========================================================

Explanation:

To go from mL to liters, we divide by 1000

This is because there are 1000 milliliters in 1 liter.

----------

You can write it like this

\(378 \text{ mL} = 378 \text{ mL } \times \frac{1 \text{ L}}{1000 \text{ mL}} = \frac{378}{1000} \text{ L} = 0.378 \text{ L}\)

Note how the mL units cancel when we divide.

Answer:

$72. 10

Step-by-step explanation:

I think

The maximal number of intersection points outside the circle that can be created by connecting the 7 dots on the circle with lines is 21.

To calculate this, we use the formula for the maximum number of intersection points formed by connecting n points with lines:

Max intersection points = n * (n - 1) / 2

In this case, n = 7, as there are 7 dots on the circle. Plugging in this value into the formula:

Max intersection points = 7 * (7 - 1) / 2

Max intersection points = 7 * 6 / 2

Max intersection points = 42 / 2

Max intersection points = 21

Therefore, the maximal number of intersection points outside the circle formed by connecting the 7 dots on the circle with lines is 21.

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Answer:

I think  40 percent

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Greater than 12 and Less than 27!

Step-by-step explanation:

Hope this helps! Have a nice day!

The temperature on January 19th would be -8 °F

From the question,

We are to determine what the temperature would be on January 19th

From the given information,

Temperatures can decrease by 20°F per week in the month of January.

On January 12th, the temperature was 12 °F.

January 19th will be a day on the week following the week of January 12th.

Therefore, the temperature would have decreased by 20 °F on January 19th.

The temperature on January 19th would be

12 °F - 20 °F = -8 °F

Hence, the temperature on January 19th would be -8 °F

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