What is the length of the unknown side?

Answer:

its 1

Step-by-step explanation:

Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

1:

6y-3+y

D =7y-3

2.

50C

3.

6÷K

4.

7-x

5.

8p-4p

6.

2g-3

7.

1-7/p

D.(p-7)/p

The expression that models the number of people attending concert 1 is given as follows:

512/6.

The number of people attending concert 1 is obtained applying the proportions in the context of the problem.

From the bar model, the fractions corresponding to each concert are given as follows:

The total number of people is given as follows:

512.

Hence the expression that models the number of people attending concert 1 is given as follows:

512/6.

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Answer:

7z + 17

Step-by-step explanation:

Like terms

All the numbers without letters are like terms

All the numbers with letters are like terms

Since we have 2 numbers without letters, we'll combine those.

15 + 2 = 17

Since there's only one number with letters, we can keep it the same since there's no others to combine it with

7z + 17

Answer:

Step-by-step explanation:

Plan A Cost = 7.5*x + 25

Plan B Cost = 10x

The left side of each equation must be equal

10x = 7.5x + 25       Subtract 7,5 x from both sides.

10x - 7.5x = 25       Combine

2.5x = 25                 Divide by 2.5

2.5x/2.5 = 25/2.5

x = 10

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.

Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".

To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:

Percent change = (New value -Old value) /Old value * 100%

Plugging in the values we have:

Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%

= 7.09 trillion / 13.4 trillion * 100%

= 52.84%

Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.

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Step-by-step explanation:

here's your solution

=> in first figure , base = 5.5, perpendicular =7.8

=> h^2 = 5.5^2 + 7.8^2

=> h^2 = 30.25 + 60.84

=>h^2 = 91.09

=> h = √91.09

=> h = 9.5

Both figure are congruent

enc we will get a rectangle by add both

hope it helps

Answer: rectangle or b

Step-by-step explanation:

Answer:

a) The margin of error for a 98% confidence interval is of 3.388 people.

b) The 98% confidence interval for the population mean is between 20.61 people and 27.39 people.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the hypergeometric distribution is used 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 = 15 - 1 = 14

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.98}{2} = 0.99\). So we have T = 2.624

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.624\frac{5}{\sqrt{15}} = 3.388\)

In which s is the standard deviation of the sample and n is the size of the sample. This means that the answer to question a is of 3.388.

Question b:

The lower end of the interval is the sample mean subtracted by M. So it is 24 - 3.39 = 20.61 people

The upper end of the interval is the sample mean added to M. So it is 24 + 3.39 = 27.39 people.

The 98% confidence interval for the population mean is between 20.61 people and 27.39 people.

Answer:

d. 0.05 < p-value < 0.1: There is no evidence to suggest tha tthe new driver has been able to shorten the mean delivery time for this route.

Step-by-step explanation:

We calculate the mean and standard deviation of the sample:

\(M=\dfrac{1}{8}\sum_{i=1}^{8}(6.61+6.25+6.4+6.57+6.35+5.95+6.53+6.29)\\\\\\ M=\dfrac{50.95}{8}=6.369\)

\(s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{7}\cdot [(6.61-(6.369))^2+...+(6.29-(6.369))^2]}\\\\\\s=\sqrt{\dfrac{0.3216875}{7}}=\sqrt{0.046}\\\\\\s=0.214\)

This is a hypothesis test for the population mean.

The claim is that the new driver has been able to shorten the route completion time (significantly less than 6.5 hours).

Then, the null and alternative hypothesis are:

\(H_0: \mu=6.5\\\\H_a:\mu< 6.5\)

The significance level is 0.01.

The sample has a size n=8.

The sample mean is M=6.369.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.214.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.214}{\sqrt{8}}=0.08\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{6.369-6.5}{0.08}=\dfrac{-0.13}{0.08}=-1.73\)

The degrees of freedom for this sample size are:

\(df=n-1=8-1=7\)

This test is a left-tailed test, with 7 degrees of freedom and t=-1.73, so the P-value for this test is calculated as (using a t-table):

\(P-value=P(t<-1.73)=0.063\)

As the P-value (0.063) is bigger than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the new driver has been able to shorten the route completion time (significantly less than 6.5 hours).

Answer: D

Y intercept is always the dot on the y axis

The sum of all the angles of any triangle is 180 degrees

     -->  Therefore the missing angle is:

                  x = 180 - 60 - 75 = 45

Hope that helps!

The sum of the angles of a triangle is 180 degrees

   --> to put that into mathematical terms

                       Angle O + Angle K + Angle C = 180

                                 60 + 75 + Angle C = 180

                                         Angle C = 45 degrees

Therefore the missing angles' measure is 45 degrees

Hope that helps!

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:D !!

Step-by-step explanation:

Yw hope you get an a !

For the right triangle:

the hypotenuse is the longest side

And the square of the hypotenuse = the sum of the squares of the other sides

so, let check the given options:

A) 2, 3, 13

13^2 = 169

And 2^2 + 3^2 = 13

so, 2, 3, 13 are not sides of a right triangle

B) 4. 6. 10

4^2 + 6^2 = 52

10^2 = 100

So, 4, 6, 10 are not sides of the right triangle

C) 9. 12. 18

9^2 + 12^2 = 225

18^2 = 324

So, 9, 12 , 18 are not sides of the right triangle

D) 15. 36. 39​

15^2 + 36^2 = 225 + 1296 = 1521

39^2 = 1521

So, 15^2 + 36^2 = 39^2

So, 15, 36, 39 are set of side lengths of a right triangle

9514 1404 393

Answer:

  1.  a. 1/4

  2.  c. 1/3

Step-by-step explanation:

1. P(g | b) = P(g&b)/P(b) = (1/11)/(4/11) = 1/4

__

2. P(b | g) = P(g&b)/P(g) = (1/11)/(3/11) = 1/3

_____

Comment on the solutions

Here, we have used the probabilities, which required that we determine the total number of people as well as the number in each circle. One could just as easily use only the numbers in the relevant circle.

1. of the 4 folks with brown hair, 1 has green eyes, so 1/4 is the probability of green eyes, given brown hair.

2. of the 3 folks with green eyes, 1 has brown hair, so 1/3 is the probability of brown hair, given green eyes.

Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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Answer:

I have appsolutaly no idea but I'm sure you'll figure it out if not try googling it out

Answer:

C. \(\ln z = 5.6157 + i\,\pi\)

Step-by-step explanation:

Let \(z = a + i\,b\), \(\forall\, a, b\in \mathbb{R}\), the natural logarithm of a this number is:

\(\ln z = \ln \|z\|+i\, \theta\) (1)

Where:

\(\|z\|\) - Norm of the complex number, no units.

\(\theta\) - Direction of the complex number, in radians.

The norm and direction of the complex number are both defined by:

\(\|z\| = \sqrt{a^{2}+b^{2}}\) (2)

\(\theta = \tan^{-1}\left(\frac{b}{a} \right)\) (3)

If we know that \(z = -274.7 +\,i \, 0\), then the natural logarithm of this number is:

\(\|z\| = 274.7\), \(\theta = \pi\,rad\)

\(\ln z = \ln \|z\|+i\, \theta\)

\(\ln z = 5.6157 + i\,\pi\)

Hence, correct answer is C.

Answer:

isosceles triangle

Step-by-step explanation:

first by using corresponding angle theorem:

<A=<C

<A=50°

then by using exterior angle theorem:

<A+<C=<B(the outer angle)

50°+<C=<B,<B=180°-80°(angle B lies in a staight line)

<B=100°

50°+<C=100°

<C=50°

Answer:

The equation becomes

\(7x+6 = 10x-12\)

Thus, the number = x = 6

Step-by-step explanation:

Let 'x' the number

seven times a number = 7x

Six more than seven times a number = 7x+6

10 times the number -12 = 10x-12

Given that Six more than seven times a number equals 10 times the number -12.

Thus, the equation becomes

\(7x+6 = 10x-12\)

We can further solve for x

\(7x+6 = 10x-12\)

\(6+12 = 10x-7x\)

\(18 = 3x\)

\(x = 6\)

Thus, the number = x = 6

Answer: 22.5

Step-by-step explanation:

math

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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Answer:

Answers : 945 males

Step-by-step explanation:

37%

555 females

1500 - 555

total males = 945

Answer:

945 males

Step-by-step explanation:

37% of 1500 = female

37% of 1500 = 555 (number of females)

1500 - 555 = number of males

1500-555 = 945

To double check this, we can do:

100% - 37% = 63% of 1500 are males

63% of 1500 = 945

So, the answer is 945

I can assure you this is the correct answer.

Hope this helps! If you need further explanation, let me know!

- profparis

Step-by-step explanation:

False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.