What is 100 times 10

Question:

The angle [tex] \theta_1[/tex] is located in Quadrant III, and [tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex].

What is the value of [tex] cos(\theta_1)[/tex] ?

Express your answer exactly. [tex] cos(\theta1) = [/tex] ________

Answer:

[tex] cos(\theta_1) = - \frac{1}{2} [/tex]

Step-by-step explanation:

Given:

[tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex]

Since the angle [tex] \theta_1[/tex] is located in Quadrant III, we have:

[tex] sin(\theta_1) = sin(\pi + \frac{\pi}{3}) [/tex]

[tex] \theta_1 = \pi + \frac{\pi}{3}[/tex]

[tex] \theta_1 = \frac{4 \pi}{3}[/tex]

Thus, [tex] cos(\theta_1) [/tex] =

[tex] cos(\theta_1) = cos(\pi + \frac{\pi}{3}) [/tex]

[tex] cos(\theta_1) = -cos(\frac{\pi}{3}) [/tex]

[tex] cos(\theta_1) = - \frac{1}{2} [/tex]

Answer:

So the value of sin20 = 0.342

Step-by-step explanation:

The value proportional or equivalent to sin20 can be gotten from calculator value directly or from a graph.

But right niw the most suitable answer is the value for the calculator because its difficulty and complications have been reduced

So the value of sin20 = 0.342

Answer:

113.1

Step-by-step explanation:

d= 2r

r = 6

area = [tex]\pi r^{2}[/tex] = 36 x [tex]\pi[/tex] = 113.09

Answer:

  -7

Step-by-step explanation:

(6^9)(6^x) = 6^2

Taking logarithms to the base 6, we have ...

  9 + x = 2

  x = -7 . . . . . subtract 9

Answer:

-7

Step-by-step explanation:

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

Functions is the relationship between sets of values. And shows their characteristic curve as well.

Here, the curve shows in the graph as y intercept of 10 on y axis, is linear function. From options we have only one option that show the same y intercept y = 10.
That linear function ⇒ y =6x+18 (obtained from option D).

Thus, the linear function y = 6x +10 has the same y intercept as the one that is represented by the graph.

learn more about function here:

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Answer:

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

Step-by-step explanation:

Answer:

2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

You can get this by using the Pythagorean Theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

3^2 + b^2 = 7^2

9 + b^2 = 49

b^2 = 40

sqrt of both sides

b = [tex]\sqrt{40}[/tex]

b = 2[tex]\sqrt{10}[/tex]

if this helps please give me brainliest

Answer:

Take [tex]b = \frac{3}{10}(6,2)[/tex] as the vector in Span(u) and [tex]w =  \frac{4}{5}(-1,3)[/tex] as the orthogonal vector to u

Step-by-step explanation:

Given vectors a,b we can calculate the projection of a onto b by the formula

[tex] \frac{a\cdot b}{b\cdot b}b[/tex]. where [tex]\cdot[/tex] is the dot product of vectors.

For this example, we will take y = [1,3] and u = [6,2].

Let b be the projection of y onto u. That is

[tex] b= \frac{y\cdot u}{u\cdot u}u = \frac{1\cdot 6+ 3\cdot 2}{6\cdot 6+2\cdot 2}(6,2) = \frac{3}{10}(6,2)[/tex]

Now, we want to find an orthogonal vector w such that b+w = y. From this equation, we can find w by taking w = y-b. Then

[tex] w = (1,3)-\frac{3}{10}(6,2) = \frac{4}{5}(-1,3)[/tex]

We must check that w and u are orthogonal. Note that if the vectors a,b are orthogonal, then the vectors a, kb are also orthogonal for every non-zero value of k. So, to check that a,kb are orthogonal, it suffices to check that a,b are orthogonal. We know that two vectors are orthogonal if and only if their dot product is zero. In our case, take the vector (6,2) and (-1,3). Note that

[tex](6,2)\cdot(-1,3) = -6+2\cdot3 = 0[/tex]

So, by the previous analysis, w and u are orthogonal.

Answer:

Step-by-step explanation:

Given that :

sample mean = 4.001 inches

sample standard deviation = 0.002 inch

a.

[tex]C_{pk} = min [\dfrac{(USL- \bar X)}{(3*std \ dev)} \ ; \ \dfrac{ (\bar X- LSL)}{(3*std \ dev)}][/tex]

specification = [tex]4 \pm 0.003[/tex]

Upper specification limit USL = 4 + 0.003  = 4.003

Lower specification limit LSL =  4 - 0.003 = 3.997

[tex]\dfrac{ (\bar X- LSL)}{(3*std \ dev)} = \dfrac{ (4.001-3.997)}{(3*0.002)}[/tex]  [tex]= 0.667[/tex]

[tex]\dfrac{(USL- \bar X)}{(3*std \ dev)} =\dfrac{(4.003-4.001)}{(3*0.002)}[/tex][tex]= 0.333[/tex]

Thus ;

[tex]C_{pk} =[/tex][tex]min (0.333 , 0.667)[/tex]  = 0.333

[tex]C_{pk}[/tex]  is a measure of closeness to one's target and the consistency around the average performance.

b) No, C - spec should not use this machine to produce this part because [tex]C_{pk}[/tex] <  1.33 which typical means that the part is not fully capable of hitting the target specification on a consistent basis .

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10% of his customers buy a magazine

This means that [tex]P = 0.1[/tex]

What is the probability that exactly 5 out of the first 13 customers buy a magazine?

This is P(X = 5) when n = 13. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055[/tex]

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Answer:

[tex] P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554[/tex]

So then  he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554

Step-by-step explanation:

Let X the random variable of interest "number of customers that buy a magazine", on this case we can model the variable of interest with this distribution:

[tex]X \sim Binom(n=13, p=0.1)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

We want to find this probability:

[tex] P(X=5)[/tex]

And using the probability mass function we got:

[tex] P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554[/tex]

So then  he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

The population average number of raisins per box is 30.

The type of statistical analysis to be run here is the inferential statistical analysis and its assumptions include normality, linearity and equality of variance.

Null hypothesis: Average number of raisins per box is 30: u = 30

Alternative hypothesis: Average number of raisins per box is not 30: u ≠ 30

To perform a two tailed single sample test, we have

z statistic = (the sample mean - hypothesized mean) / (SD/√n)

sample mean = 28.05, SD = 3.87 hypothesized mean = 30 n = 36

Thus, we have 28.05 - 30 / (3.87/√36)

= -1.95 / (3.87/6)

= -1.95 / 0.645

= -3.023

we say this is a left tailed test and use the negative z table

where -3.02 = 0.0013

To determine whether the average number of raisins per box differs from the expected 30.

Using p < 0.05, since the observed value 0.0013 is less than 0.05, we conclude the the average number of raisins per box differs from the expected 30.

Step-by-step explanation:

0.153 is the largest number

Answer:

I believe 0.153 to be the greatest

Step-by-step explanation:

0.153

15%= 0.15

1/12= 0.0833333

1/7= 0.1428571429

Answer:

children attended= 114

adults attended= 57

students attended= 82

Step-by-step explanation:

children attended= c

adults attended=  a

students attended=  s

c+s+a = 253

5c + 7s + 12a = 1828

c=2a

2a + s + a =253

5*2a + 7s + 12a = 1828

3a + s = 253

22a + 7s = 1828

s = 253 - 3a

22a + 7(253 - 3a) = 1828

22a - 21a + 7*253 = 1828

a = 1828 - 7*253

a = 57

s = 253 - 3a = 253 - 3*57 = 82

s = 82

c=2a=2*57= 114

c=114

Answer:

Step-by-step explanation:

Let S and L represent the numbers of short- and long-sleeved shirts ordered.

The expected earnings were ...

  5S +10L = 1750

The number sold was ...

  (1/3)S + (1/2)L = 100

We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:

Subtracting the second equation from twice the first gives ...

  2(S +2L) -(2S +3L) = 2(350) -(600)

  L = 100 . . . . . . simplify

  2S +3(100) = 600

  S = 150

150 short-sleeved and 100 long-sleeved shirts were ordered.

Answer:

b

Step-by-step explanation:

i did it on edge

Step-by-step explanation:

Answer:

27 cubic meters

Step-by-step explanation:

The surface area of this cube is 54 square meters.

Given a cube of side length s,

Therefore:

[tex]6s^2=54\\s^2=54/6\\s^2=9\\s=\sqrt{9}\\ s=3$ meters[/tex]

Volume of a Cube of side length s [tex]=s^3[/tex]

Volume of the cube [tex]=3^3[/tex]

=27 cubic meters

The volume of the cube is 27 cubic meters.

Answer:

cube game

Step-by-step explanation:

one of them wins every time

A number cube is rolled. Player 1 gets a point for any number that is 3 or higher, and player 2 gets a point for any number less than 3

If a number cube is rolled and Player 1 gets a point for any number that is 3 or higher and Player 2 gets a point for any number less than 3 it wouldn't be fair to Player 2 because Player 1 has a higher chance of getting points because he/she has more opportunities.

I hope this is correct

Answer:

We conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.

Step-by-step explanation:

We are given that a random survey of 10 Visa Gold cardholders resulted in a mean household income of $50,930 with a standard deviation of $9500.

A random survey of 66 MasterCard Gold cardholders resulted in a mean household income of $45,720 with a standard deviation of $9800.

Let [tex]\mu_1[/tex] = true mean household income for Visa Gold cardholders.

[tex]\mu_2[/tex] = true mean household income for MasterCard Gold cardholders.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]     {means that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex]     {means that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviations;

                         T.S. =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]  ~ [tex]t__n__1-_n__2-2[/tex]

where, [tex]\bar X_1[/tex] = sample mean household income for Visa Gold cardholders = $50,930

[tex]\bar X_2[/tex] = sample mean household income for MasterCard Gold cardholders = $45,720

[tex]s_1[/tex] = sample standard deviation for Visa Gold cardholders = $9,500

[tex]s_2[/tex] = sample standard deviation for MasterCard Gold cardholders = $9,800

[tex]n_1[/tex] = sample of Visa Gold cardholders = 10

[tex]n_2[/tex] = sample of MasterCard Gold cardholders = 6

Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex]  = [tex]\sqrt{\frac{(10-1)\times 9,500^{2} +(6-1)\times 9.800^{2} }{10+6-2} }[/tex] = 9,608.22

So, the test statistics  =  [tex]\frac{(50,930-45,720)-(0)}{9,608.22 \times \sqrt{\frac{1}{10} +\frac{1}{6} } }[/tex]  ~ [tex]t_1_4[/tex]

                                    =  1.05

The value of t test statistics is 1.05.

Now, at 0.01 significance level the t table gives critical values of -2.977 and 2.977 at 14 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.

Answer:

D). The American writer and philosopher, Henry David Thoreau comments that by simplifying one's life, "the laws of the universe will appear less complex."

E). The adrenaline produced in our body during a confrontation leads to two possible responses by the person run away to safety, or stand one's ground and fight.

Explanation:

Punctuation marks are elucidated as the signs and symbols that function to enhance the readability of the sentences and indicate the grammatical construction of the readers. It assists them in understanding the meaning of the sentence more clearly and comprehensively.

In the given sentences, the last two sentence are incorrectly punctuated as they both wrongly employ comma(,) in it. Option D inappropriately punctuates comma(,) in the complex sentence while the last option falsely puts comma before conjunction 'or.' Thus, options D and E are the correct answers.

Answer:

rawl- 8 years old

mile- 24 years old

jerry- years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

Here we can create an equation to solve for the number of hours (x) this man can skate for.

Since he has to pay a $9 flat fee, that will be a constant value or our y-intercept in this case.

Our equation will be y = 2x + 9

Since we know his budget is $19, we can set our equation equal to 19, or replace y in this case.

So now we have 19 = 2x +9

Now we need to subtract 9 from both sides to get 10 = 2x

Then we need to divide both sides by 2 to get 5 = x

So this man can skate for 5 hours considering his budget

Answer:

40 miles

Step-by-step explanation:

In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.

The path driven forms a right triangle in which AC is the hypotenuse.

We therefore use the Pythagorean Theorem to solve for the AC.

Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

[tex]|AC|^2=32^2+24^2\\|AC|^2=1600\\|AC|=\sqrt{1600}\\ |AC|=40$ miles[/tex]

The  straight  line distance from the starting point is 40 miles.

Answer:

1

Step-by-step explanation:

I'm not sure if this is right, but I think it's 1. If you think about the simplest quintic polynomial, x^5, and set it to any real number, you'll always get 1 solution. I don't think it's possible to have 0 or no real solutions. Hope this helps!

Answer:

Kendra should of divided by 2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

Bank account D

Step-by-step explanation:

In order to maintain bank account A,the minimum balance requirement is $500 which is the highest minimum balance requirement when compared to other bank accounts.

Also, in order to maintain bank account D,the least balance required is $100,this is the lowest when compared with other bank accounts available,hence it is the correct answer in this case since the requirement was about the bank account with the lowest minimum balance

Answer

Bank account D

Answer:

7

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

This inversely proportional function, the more flowers - the less distance.

Flowers = k/distance

30 = k/12

k = 30*12 = 360

Flowers = 360/distance

New number of flowers and new distance:

Flowers = 360/distance

36 = 360/distance

distance = 360/36= 10 (inches)

Answer:

John have to pay back $23,327.50 at the end of two years

Step-by-step explanation:

Simple Interest (I) = (PRT) ÷ 100

where P = Principal, R = Rate, T= Time

I = ($150500 × 7.75 × 2) ÷ 100

I = ($2332750) ÷ 100

I = $23,327.50

Answer:

2 nickels

6 quarters

Step-by-step explanation:

Let quarters be 3x and nickels be $x

if Mark had 3 times as many quarters as nickels, and if he had $1.60 in all, than

( 0.25)3x + 0.05x=1.6

0.75x+ 0.05x=1.6

0.8x=1.6

x=1.6/0.8

x=2 nickels

and 3 (2)=6 quarters

Answer:

There are 4 quarters and 12 nickels.

Step-by-step explanation:

A quarter is equal to $0.25.

A nickel is equal to $0.05.

Let the number of nickels be y.

Let the number of quarters be x.

Mark had 3 times as many quarters as nickels. This means that:

y = 3x

3x represents the number of nickels.

We are told that he had $1.60 in all. This means that:

0.25x + 0.05y = 1.60

=> 0.25x + 0.05 * 3x = 1.60

0.25x + 0.15x = 1.60

0.40x = 1.60

=> x = 1.6 / 0.4 = 4

Therefore:

y = 3 * 4 = 12

There are 4 quarters and 12 nickels.