Solve sin2x=-1/2 on the interval 0≤ angle≤360°​

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Answer:

The answer is "[tex]58.625 cm^3[/tex]"

Step-by-step explanation:

Consider the cube volume of x =6 cm.

Substitute x = 6 cm in the volume

[tex]V= x^3\\\\ V = (6)^3\\\\ V = 216[/tex]

Therefore, whenever the cube volume

[tex]x=6 \ cm \ is \ V= 216 \ cm^3[/tex]

Then consider the cube's volume

x = 6.5 cm.

Substitute x = 6.5 cm in the volume

[tex]V_1 = x^3\\V_1 = (6.5)^3\\V_1 = 274.625 \\[/tex]   by using the calculator.

Therefore, when another cube volume

[tex]x = 6.5 cm \\\\ V_1 = 274.625 cm^3.[/tex]

The real volume error x = 6.5 cm instead of x = 6 cm is calculated as,

[tex]dV= V_1-V\\[/tex]

     [tex]=274.625-216\\=58.625\\[/tex]

Hence, the actual error in the volume when x = 6.5 cm instead of x = 6 cm is [tex]58.625 \ cm^3.[/tex]

4books=6.28inches

30books=?

(30x6.28)/4

47.1 inches

47.1 inches

[tex]answer \\ 13.5 \: m/s \\ given \\ initial \: velocity(u) = \: 3 \: m/s \\ acceleration(a) = 1.5 \: m/s ^2\\ time(t) = 7 \: second \\ now \\ v = u + at \\ or \: v = 3 + 1.5 \times 7 \\ \: or \: v = 3 + 10.5 \\ v = 13.5 \: m/s \\ hope \: it \: helps[/tex]

Answer:ab

Step-by-step explanation:3-9=-6 +7=1 1ab also equals just ab

Answer:

Since its adding and subtracting just add the coefficients of similar terms (coefficient is the number in front, term is the coefficient. and variables, similar terms are terms that have the same variables)  

3ab-9ab+7ab

3-9=-6: -6ab+7ab

-6+7=1: 1ab or ab :)

Answer:

449.40 Euro

Step-by-step explanation:

1 pound=1.12 euro

400*1.12=

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so [tex]P = 9000[/tex]

Interest rate of 8%, so [tex]r = 0.08[/tex]

Compounded quarterly, so [tex]n = 4[/tex]

5 years and 6 months, that is, 5 years and half, so [tex]t = 5.5[/tex]

(a) How much would the value of her savings at the end of the term?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82[/tex]

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

Answer:

Dependent variable → bacteria cell increase or population

Independent variable → time variable

Step-by-step explanation:

An independent variable has direct effect on the dependent variable. The independent variable can stand on it own and it is not change by the other variable you are trying to measure. The independent variable have direct effect on the dependent variable.

A dependent variable is actually the variable being tested in an experiment. The dependent variable is actually dependent on the independent variable.

The dependent variable in this scenario is the bacteria cell increase or the bacteria cell multiplication.  The bacteria cell increase is dependent on the time . The time variable is the independent  variable as it can stand on it own .

Dependent variable → bacteria cell increase or population

Independent variable → time variable

Answer: The systems of equations have only one solution because if x 4 then y is equal to 3 which  proves it that is a one solution graph.

Step-by-step explanation:

2(4)- y = 5

8 - y= 5

-8      -8

-1y= -3

y= 3

Answer:

  4

Step-by-step explanation:

Let's try this a different way than perhaps the usual way. Let r represent the reciprocal of the number.

  r(1/r -1) -1/2r = 5/8

  1 -r -1/2r = 5/8 . . . . . . eliminate parentheses

  -3/2r = -3/8 . . . . . . . . collect terms, subtract 1

  (-3/2)/(-3/8) = 1/r = 4 . . . . . divide by (-3/8)r because we actually want 1/r

The number is 4.

_____

Check

The reciprocal of the number is 1/4.

1 less than the original number is 4 -1 = 3. The product of these is 3/4.

__

Half the reciprocal of the original number is (1/2)(1/4) = 1/8.

Then the difference between these is ...

  3/4 -1/8 = (6 -1)/8 = 5/8 . . . . as required.

Answer:

the quotient is 9 because a negative divided by a negative is a positive

Answer:

  it is the complement of 28°

Step-by-step explanation:

Angle DAB made by a tangent and a chord to the point of tangency is equivalent to every other inscribed angle that intercepts the same arc. Those angles have half the measure of the central angle ACB intercepting the same arc.

In isosceles triangle ABC the base angles (shown as 28°) are the complement of half the measure of the central angle. Hence angle DAB will be the complement of the angle marked 28°.

  angle DAB = 90° -28° = 62°

Answer:

The standard unemployment rate is of 0.0794 = 7.94%.

Step-by-step explanation:

The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.

In this question:

Labor force: 189 million

Number of unemployed people: 15 million

What is the standard unemployment rate?

15/189 = 0.0794

The standard unemployment rate is of 0.0794 = 7.94%.

Answer:

A. 32.25

Step-by-step explanation:

Because of the first row, we know that to find the cost, we are multipling the gallons by 2.15.

so [tex]15*2.15=32.25[/tex]

So the answer is A.

Hope this helps!

Plx give brainliest

Answer:

if the 5 numbers are different, the maximum difference is 64

Step-by-step explanation:

We have 5 positive (different) integers, a, b, c, d and e (suppose that are ordered from least to largest, so a is the smallest and b is the largest.

The mean will be:

M = (a + b + c + d + e)/5 = 15.

Now, if we want to find the largest difference between a and e, then we must first select the first 4 numbers as the smallest numbers possible, this is:

a = 1, b = 2, c = 3 and d = 4

M = (1 + 2 + 3 + 4 + d)/5 = 15

M = (10 + d)/5 = 15

10 + d = 15*5 = 75

d = 75 - 10 = 65

then the difference between a and d is = 65 - 1 = 64.

Now, if we take any of the first 4 numbers a little bit bigger, then we will see that the value of d must be smaller, and the difference between d and a will be smaller.

Answer:

7x -14 = jl

Step-by-step explanation:

Assuming a straight line

jm+ ml = jl

5x-8 + 2x-6 = jl

Combine like terms

7x -14 = jl

Answer:

The answer is C because DC = BA and DA = CB (given) and AC = CA (reflexive property).

Answer:

C. 1/25

Step-by-step explanation:

5^-2=5^(2*-1)

5^2=25

25^-1=1/25

Answer:

It is C 1/25 because it won't be -25 because a negative times a negative is a positive

Step-by-step explanation:

Answer:

Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?

Step-by-step explanation:

Given: the inequality is [tex]384+2x<6x[/tex]

To find: the correct option

Solution:

Let x denotes number of times gym is used.

As Mega Gym charges a $384 registration fee and $2 each time the gym is used,

Total amount charged by Mega Gym = [tex]\$(384+2x)[/tex]

As Super Gym charges a fee of $6 every time the gym is used,

Total amount charged by Super Gym = [tex]\$\,6x[/tex]

In order to find number of times, x Super Gym is used such that cost of Super Gym exceeds the cost of Mega Gym,

Solve the inequality:

cost of Super Gym > cost of Mega Gym

[tex]6x>384+2x\\384+2x<6x[/tex]

So, the correct option is '' Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym? ''

Answer:

Geometric Sequence.

Step-by-step explanation:

Geometric sequence. If you take a close look at the graph, it never touches the x - axis. If you use division in a geometric sequence, you will get a very small number, but you will never touch the axis.

Answer:

The expected value of the random variable with the given probability distribution = 12 .52

Step-by-step explanation:

Given data

 x    :   0         1            5       10     1000

p(x)  :  0.33  0.32   0.24     0.10    0.01

The expected value of the given random variable of given probability distribution

E(X)  =  ∑ x p ( X = x)

E(X)  =  0 × 0.33 + 1 × 0.32 + 5 × 0.24 + 10× 0.10 + 1000×0.01

E (X)  =  12.52

Answer:

113 feet

Step-by-step explanation:

Use the ratio 1:50 to calculate the height of the tower.

The scale model height is 2.25 feet, so multiply that by 50

2.25 x 50 = 112.5

Round to 113 feet

Answer:

D. 113 feet

Step-by-step explanation:

We know that Josephine made a smaller model that is one-fiftieth the size of the real model. That means the height of the real model is fifty times as big as this model. All we need to do to find the height of the real thing is to multiply 50 and 2.25. (50) 2.25 = 112.5. That will round to 113 feet, which is the height of the new water tower.

Hope this helps ^-^

Answer:

x=7, y=2

Step-by-step explanation:

Solve2x+3y=20for x:

2x+3y=20

2x+3y+−3y=20+−3y

2x=−3y+20

2x/2=-3y+20/2

x= -3/2 y

Answer:

The way adolescents spend their time can strongly influence their health later in life. For youth to maintain a healthy future, they need plenty of sleep; good nutrition; regular exercise; and time to form relationships with family, friends, and caring adults. Additionally, the time adolescents spend in school and in after-school activities with peers and adults can advance healthy academic, emotional, social, and physical development. The amount of time they spend on screens and in social media may also influence adolescents’ overall well-being.

The American Time Use Survey, collected by the U.S. Bureau of Labor Statistics, contains detailed information about how individuals ages 15 and older use their time and provides a picture of a typical weekday and weekend day for a high school teen during the school year. Here we specifically analyze how adolescents ages 15-19 who are enrolled in high school spend their time.

Step-by-step explanation:

Answer:

13.125 or 105/8u^3

Step-by-step explanation:

To find the volume of the box, you can use the formula of length times width time height.

3 * 5 = 15

2*2=4

15/4*7/2=105/8      which can be divided to become 13.125

Answer: 3 hours and 18 minutes.

Step-by-step explanation:

Answer:

52% probability that a randomly selected puppy in the shelter will get adopted and live 7 or more years

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: A puppy is adopted.

Event B: The puppy lives 7 or more years.

An animal shelter has a 65% adoption rate for puppies

This means that [tex]P(A) = 0.65[/tex]

Of the puppies who are adopted, 80% live to be 7 years or older.

This means that [tex]P(B|A) = 0.8[/tex]

What is the probability that a randomly selected puppy in the shelter will get adopted and live 7 or more years

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)*P(B|A)[/tex]

[tex]P(A \cap B) = 0.65*0.8[/tex]

[tex]P(A \cap B) = 0.52[/tex]

52% probability that a randomly selected puppy in the shelter will get adopted and live 7 or more years

Answer:

C.

Step-by-step explanation:

According to theorem, congruent angles has congruent sides opposite to them so,

RS = TU

Now

12x+4 = 11x+15

12x-11x = 15-4

So

x = 11

Now

TU = 11x+15

= 11(11)+15

= 121+15

= 136 units

Answer:

A, B and C

Step-by-step explanation:

1) After reflecting the circle over line g, we would come to know that Both are same in size

OR

2) we can also rotate the circle 180° around point C

OR

3) we can also translate the dilated circle so that it's centre is at point b

Answer:18

Step-by-step explanation:

first : 8-2 =6 gallons

he gave 6 to 7 students

then he needs : 18 gallons for 21 students