25 pts Must hv explanation The equation cos (35 degree) equals StartFraction a Over 25 EndFraction can be used to find the length of Line segment B C. What is the length of Line segment B C? Round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.

Answer:

3/4

Step-by-step explanation:

There are 3 numbers greater than 1. 2, 3, and 4. Since there are 4 numbers total, we get a 3/4 chance.

Answer:

3/4

Step-by-step explanation:

There are four options and 3 of them =3 or greater than 1

P(3 or greater than 1) = 3/4

Answer:

8/25

Step-by-step explanation:

The probability of picking a number less than 9 is 4/5.

The probability of picking an even number is 2/5.

[tex]4/5 \times 2/5[/tex]

[tex]=8/25[/tex]

Answer:

Step-by-step explanation:

Well, since it was not given the interval let's use the interval [0,5] with n=10

So now, for the Trapezoidal Rule to approximate the area enclosed by the Integral of: [tex]f(x)=7\pi \sin(x)[/tex]

[tex]T_{10}=\frac{b-a}{2n}[f(a)+2f(x_1)+ ....2f(x_{n-1})+f(b)][/tex] Plugging in:

[tex]T_{10}=\frac{5-0}{2*10}[f(0)+2f(\frac{1}{2})+2f(1)+2f(\frac{3}{2})+2f(2)+2f(5/2)+2f(3)+2f(7/2)+2f(4)+2f(9/2) +f(5)][/tex]

[tex]T_{10}=\frac{1}{4}[0+21.086+37+43.87+39.99+26.322+6.20-15.43-33.285-42.99-21.087][/tex]

[tex]T_{10}\approx 15.419[/tex]

Now the same area according to Simpson rule:

[tex]S_{10}=\frac{b-a}{3n}[f(a)+4f(x_{1})+2f(x_{2})+4f(x_{3} )+2f(x_{4})+4f(x_{5})+2f(x_{6})+4f(x_{7})+2f(x_{8})+4f(x_{9})+f(b)]\\S_{10}=\frac{5}{3*10}[0+74.01+43.87+79.98+26.322+12.413-15.43-66.571-42.99-21.08]\approx 15.085[/tex]

[tex]S_{10}\approx 15.0585[/tex]

Answer: 441

Step-by-step explanation:

2 men from 7 will be the members of committee that makes 7*6/2=21 outputs

2 women from 7 will be the members of committee that makes 7*6/2=21 outputs as well.

Total number of outputs is 21*21=441

The number of ways different committees are possible that consist of 2 women and 2 men is 441.

Two terms joined by a plus or minus sign make up a mathematical expression are termed as binomial.

The positive integers that appear as coefficients in the binomial theorem are known as binomial coefficients in mathematics. A binomial coefficient is typically written and indexed by the two integers n ≥ k ≥ 0.

There are the binomial coefficient "7 choose 2", i.e.  [tex]\frac{7!}{2!5!}=21[/tex]  ways to choose 2 people from a set of 7 people.

So, there are 21 ways to choose 2 men and 21 ways to choose 2 women. This means that there is [tex]21^2 = 441[/tex]  ways to choose both 2 men and 2 women.

Learn more about application of binomial coefficient from given link.

https://brainly.com/question/14216809

#SPJ2

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

20%=20/100

= 0.2

=0.2×10/10

=2/10

=1/5

Percent to decimal:

20/100 = 0.20

Answer:

(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.

(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.

Step-by-step explanation:

Longboard:

2, 7, 16, 13, 10, 18, 7, 8, 15, 15, 19, 17, 3, 10, 11, 16, 24 5, 20, 6, 9, 11, 8, 21, 22, 18, 14, 12, 16, 24

Sorting in ascending order, we have:

[tex]2, 3, 5, 6, 7, 7, \boxed{8, 8}, 9, 10, 10, 11, 11, 12, \boxed{13, 14,} 15,15, 16, 16, 16, 17, \boxed{18, 18}, 19, 20, 21, 22, 24 , 24[/tex]

Median [tex]=\dfrac{13+14}{2}=13.5[/tex]

[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{18+18}{2}=18\\$Interquartile range, Q_3-Q_1=18-8=10[/tex]

Shortboard

17, 16, 7, 5, 13, 8, 7, 6, 15, 8, 8, 16, 10, 23, 24, 10, 20, 16, 16, 24, 23, 14, 6, 12, 10, 7, 12, 25, 13, 22

Sorting in ascending order, we have:

[tex]5, 6, 6, 7, 7, 7, \boxed{8, 8,} 8, 10, 10, 10, 12, 12, \boxed{13, 13} 14, 15, 16, 16, 16, 16, \boxed{17, 20,} 22, 23, 23, 24, 24, 25[/tex]

Median [tex]=\dfrac{13+13}{2}=13[/tex]

[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{17+20}{2}=18.5\\$Interquartile range, Q_3-Q_1=18.5-8=10.5[/tex]

Therefore:

(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.

(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.

Answer:

First choice

Step-by-step explanation:

Start by arranging the exponents of 10 in ascending order.

9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7 * 10^3

The exponents are in ascending order, -8, -6, 3, 3

Since the last two exponents are equal, we must compare the numbers that multiply the powers of 10. They are 2.5 and 7. Since 2.5 < 7, ascending order is 2.5, 7. That means the line above is in ascending order.

Answer: First choice

is this what u need.....

Answer:

Step-by-step explanation:

Volume of a hemisphere is given by

[tex]V = \frac{2}{3} \pi {r}^{3} [/tex]

where r is the radius of the hemisphere

From the question

r = 29 ft

Substitute the value of r into the formula

That's

[tex]V = \frac{2}{3} \pi \times {29}^{3} [/tex]

[tex]V = \frac{48778}{3} \pi[/tex]

We have the final answer as

Hope this helps you

Answer:

[tex]X \sim N(\mu, \sigma)[/tex]

And from this case we can see that the deviation is given by:

[tex]\sigma = 3[/tex]

Step-by-step explanation:

For this case we have the following notation given:

[tex] X \sim N (5,3)[/tex]

And from this we know that the distribution for the random variable is normal and we know that in general the normal distribution is given by:

[tex]X \sim N(\mu, \sigma)[/tex]

And from this case we can see that the deviation is given by:

[tex]\sigma = 3[/tex]

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups. Some members of each group are surveyed. This is stratified sampling

Answer:

60

Step-by-step explanation:

if ts = 10 and sp = 10, use the formula 1/2 b x h therefore it will be 5 x 12=60, or 10 x 6 = 60. So the answer of the area of triangle tsp is 60.

Answer:

1341.75

Step-by-step explanation:

I did the math :)

The guy above me is correct

Answer:

a) [tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]  

b) [tex]p_v =2*P(z<-1.53)=0.126[/tex]

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

[tex]\bar X_{1}= 104[/tex] represent the mean for 1

[tex]\bar X_{2}= 106[/tex] represent the mean for 2

[tex]\sigma_{1}= 8.4[/tex] represent the population standard deviation for 1

[tex]\sigma_{2}= 7.6[/tex] represent the population standard deviation for 2

[tex]n_{1}=80[/tex] sample size for the group 1

[tex]n_{2}=70[/tex] sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0:[tex]\mu_{1}=\mu_{2}[/tex]

H1:[tex]\mu_{1} \neq \mu_{2}[/tex]

The statistic would be given by:

[tex]z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}= [/tex](1)

Part a

Replacing we got:

[tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]

Part b

The p value would be given by this probability:

[tex]p_v =2*P(z<-1.53)=0.126[/tex]

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Answer:

Option (3)

Step-by-step explanation:

Volume of the flavored ice that can be filled in the cone = Volume of the ice cone - volume of the spherical piece of bubble gum

Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

where r = radius of the cone

h = height of the cone

Volume of the ice cone = [tex]\frac{1}{3}\pi (3)^2(5)[/tex]

Volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] [r = radius of the bubble gum]

                                 = [tex]\frac{4}{3}\pi (\frac{1.1}{2}) ^{3}[/tex]

                                 = [tex]\frac{4}{3}\pi (0.55) ^{3}[/tex]

Volume of the flavored ice filled in the cone = [tex]\frac{1}{3}\pi (3)^2(5)-\frac{4}{3}\pi (0.55) ^{3}[/tex]

Therefore, Option (3) will be the answer.

Answer: t= 13.4

Step-by-step explanation:

The given equation is [tex]2P_0=P_0(1.053)^t[/tex]

To solve this equation for 't', we first divide both sides by [tex]P_0[/tex], we get

[tex]2=(1.053)^t[/tex]

Taking log on both the sides, we get

[tex]\log 2= \log(1.053)^t[/tex]

Since [tex]\log a^b=b\log a[/tex]

Then,

[tex]\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4[/tex]

Hence, the value of t is 13.4.

ok hola bro graicas por los punto                            qui    :

Answer:

B. Step 3

Complete question found on chegg:

Select the correct answer.

A mistake was made in the steps shown to simplify the expression.

Which step includes the mistake?

9/2 + 3(4-1) -7 + 2³

Step 1: 9/2 + 3(3) -7 + 2³

Step 2: 9/2 + 3(3) -7 + 8

Step 3: 15/2 (3) -7 + 8

Step 4: 45/2 -7 + 8

Step 5: 31/2 + 8

Step 6: 47/2

A. Step 4

B. Step 3

C. Step 1

D. Step 5

Step-by-step explanation:

To determine where the mistake occurred let's solve the expression ourselves and compare with answer L's given.

9/2 + 3(4-1) -7 + 2³

Using BODMAS = Bracket, Of, Division, Multiplication, Addition and Subtraction.

Step 1: solve for the value in the bracket. 4-1 =3

9/2 + 3(3) -7 + 2³

Step 2: find the value of 2³

2³ = 2×2×2 = 8

9/2 + 3(3) -7 + 8

Step 3: add 9/2 and 3(3)

9/2 + 3(3) = 9/2 + 9 = (9+18)/2

= 27/2 = (9/2)(3)

9/2 (3) -7 + 8

Step 4: open the bracket

27/2 -7 + 8

Step 5: subtract 7 from 27/2

= (27-14)/2 = 13/2

13/2 + 8

Step 6: add 13/2 and 8

13/2 + 8 = (13+16)/2 = 29/2

From the above calculation, the mistake occurred in (B) Step 3

Answer:

B. Step 3

Complete question found on chegg:

Select the correct answer.

A mistake was made in the steps shown to simplify the expression.

Which step includes the mistake?

9/2 + 3(4-1) -7 + 2³

Step 1: 9/2 + 3(3) -7 + 2³

Step 2: 9/2 + 3(3) -7 + 8

Step 3: 15/2 (3) -7 + 8

Step 4: 45/2 -7 + 8

Step 5: 31/2 + 8

Step 6: 47/2

A. Step 4

B. Step 3

C. Step 1

D. Step 5

Step-by-step explanation:

To determine where the mistake occurred let's solve the expression ourselves and compare with answer L's given.

9/2 + 3(4-1) -7 + 2³

Using BODMAS = Bracket, Of, Division, Multiplication, Addition and Subtraction.

Step 1: solve for the value in the bracket. 4-1 =3

9/2 + 3(3) -7 + 2³

Step 2: find the value of 2³

2³ = 2×2×2 = 8

9/2 + 3(3) -7 + 8

Step 3: add 9/2 and 3(3)

9/2 + 3(3) = 9/2 + 9 = (9+18)/2

= 27/2 = (9/2)(3)

9/2 (3) -7 + 8

Step 4: open the bracket

27/2 -7 + 8

Step 5: subtract 7 from 27/2

= (27-14)/2 = 13/2

13/2 + 8

Step 6: add 13/2 and 8

13/2 + 8 = (13+16)/2 = 29/2

=

Answer:

Step-by-step explanation:

Given: point M,

           m<AOB,

           OC the bisector of m<AOB

Thus,

m<AOC = m<BOC (bisector property of OC)

m<MOC = m<BOM (congruence property)

m<AOM - m<BOM = m<AOC = m<BOC

m<BOC = m<MOC = [tex]\frac{m<AOC}{2}[/tex]  (angle property)

Therefore,

m<AOM > m<BOM (point M location property)

m<MOC = [tex]\frac{m<AOM - m<BOM}{2}[/tex]

Hey there! :)

Answer:

A. x + 4

D. x + 2

Step-by-step explanation:

Starting with:

x² + 6x + 8

Find numbers that add up to 6 and multiply to 8. We get:

2, 4.

Put these into the factors:

(x + 2)(x + 4)

Therefore, the correct answers are:

A. x + 4

D. x + 2

Answer:

1. To find m∠1, we can notice that ∠1 and 46° are complementary, meaning they add up to 90° This means that m∠1 = 90 - 46 = 44°. We can do the same for ∠4. In this case, ∠4 = 90 - 23 = 67°.

2. To find m∠1, we can use the exterior angle formula which means that the measure of an exterior angle is equal to the sum of both of its remote interior angles. This means that ∠1 = 52 + 62 = 114°. To find ∠2 we can do 180 - 52 - 62 = 66° because the sum of all angles in a triangle is 180°. Since ∠2 and ∠3 are vertical angles, ∠3 = ∠2 = 66°.

Complete Question

The complete question is shown on the  first uploaded image

Answer:

The standard deviation is  [tex]\sigma =1.5811[/tex]

Step-by-step explanation:

  The  sample  size is  n  =  18

Generally the probability of getting a four in the toss of the fair die is mathematically represented as

          [tex]p = \frac{1}{6 }[/tex]

While  the probability of not getting a four is  

          [tex]q = 1 - p[/tex]

          [tex]q = 1 - \frac{1}{6}[/tex]

           [tex]q = \frac{5}{6}[/tex]

Now the standard deviation for the binomial random number is mathematically represented as

      [tex]\sigma = \sqrt{n * pq }[/tex]

substituting  values  

     [tex]\sigma = \sqrt{18 * \frac{1}{6}* \frac{5}{6} }[/tex]

      [tex]\sigma =1.5811[/tex]

Answer:

I hope this will help you :)

Step-by-step explanation:

6+(-x)+2x(-7)+2x

6-x+2x✖️(-7)+2x

6-x-14+2x

6-14-x+2x

-8+x

Answer:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Step-by-step explanation:

Confidence interval:

Confidence level of x%

We build from a sample.

Between a and b.

Intepretation: We are x% sure that the population mean is between a and b.

In this question:

90%

45 CEO's

Between ($139,048, $154,144).

So

We are 90% sure that the mean salary of all CEO's falls within this interval.

The correct answer is:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Answer:

[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]

Step-by-step explanation:

Let the number be x

Difference of a number & 5 : x-5

1/3 time the difference of a number & 5: 1/3 (x-5)

Equation:

[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]

Solution:

[tex]x-5=\frac{-2}{3}*\frac{3}{1}\\\\x-5=-2\\\\x=-2+5\\x=3[/tex]

Answer:

the milk weighs less than 70 pounds

milk =  64       half of 64 = 32    difference between 32 and 38= 6                    64+6 = 70                

empty can =6 pounds

Answer:

38 is the weight with the can so if we subtract the total weight by the weight of half we can see how much the can weighs

70 - 38 = 32

38 - 32 = 6 so the can weighs 6 pounds.

Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.

QS = √(1 - 5)² + (3 - 3)² = 16

RT = √(3 - 3)² + (4 - 2)² = 4

Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.

Let us check if the diagonals are perpendicular.

Slope of QS = (3 - 3)/(5 - 1) = 0/4

Slope of RT = (2 - 4)/(3 - 3) = - 2/0

The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is

D. QRST is none of these because its diagonals are neither congruent nor perpendicular.

Answer:

equation is pv=nRT

p, n, R are constants

so, v is directly proportional to Temperature

v1/v2=T1/T2

250/v2=300/420

v2=350

Recall that

[tex]e^x=\displaystyle\sum_{n=0}^\infty\frac{x^n}{n!}[/tex]

Then

[tex]e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n}}{n!}[/tex]

and

[tex]x^7e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n+7}}{n!}[/tex]