find the slope of the line that passes through these two points

Try rounding off your answer

The triangle is formed by using the diameter as its base, so angle opposite to the diameter, i.e., ∠QRS = 90°

Given that QR and SR are equal, so it is an isosceles triangle. Hence, ∠RQS and ∠RSQ are equal. Hence, ∠RSQ = x + 6° because given that ∠RQS = x + 6°.

We know that all angles of a triangle adds up to 180°.

So, (x+6°) + (x+6°) + 90° = 180°

=> 2(x+6°) + 90° = 180°

=> 2(x+6°) = 180° - 90°

=> 2(x+6°) = 90°

=> 2x + 12° = 90°

=> 2x = 90° - 12°

=> 2x = 78°

=> x = 78°/2

=> x = 39°

Answer:

0.7 x 10 ^ -9

Step-by-step explanation:

(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5)

3.5 / 5 x 10 ^ -4/ 10 ^ 5

=> 0.7 x 10 ^ -9

Answer:

1/10

Step-by-step explanation:

any number (1-9) as the number above the fraction line (numerator) with the number 10 below the fraction line is a fraction with a denominator of 10.

if it was 10/10, it will = 1

Answer:

At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.

At the null hypothesis, we test if the mean is of at most 3 minutes, that is:

[tex]H_0: \mu \leq 3[/tex]

At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:

[tex]H_1: \mu > 3[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

3 is tested at the null hypothesis:

This means that [tex]\mu = 3[/tex]

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.

This means that [tex]n = 100, X = 3.1, \sigma = 0.5[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]

[tex]z = 2[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.

Answer:

one lakh twenty seven thousand and seventy five

I hope this will help you

Answer:

x = 4

Step-by-step explanation:

[tex]3^{2x+1} = 3^{x+5}[/tex]

if the bases are equal then the powers must be equal as well

2x+ 1 = x+5 export like terms to same side of equation

2x - x = 5 - 1 add/subtract like terms

x = 4

Answer:

The result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

According to one study, brain weights of men are normally distributed with mean = 1.20 kg and a standard deviation = 0.14 kg.

Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg. Interpret your answer in terms of sampling error.

The explanation of the answers is now provided as follows:

Based on the Central limit theorem, it possible to say that the mean of sampling distribution (μₓ) is approximately equal to the population mean (μ) as follows:

μₓ = μ = 1.20 kg …………………………. (1)

Also, the standard deviation of the sampling distribution can be written as follows:

σₓ = (σ/√N) ……………………….. (2)

Where:

σ = population standard deviation = 0.14 kg

N = Sample size = 3

Substituting the values into equation (2), we have:

σₓ = 0.14 / √3 = 0.0808

Since we are to determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg, this implies that we have:

P(1.10 ≤ x ≤ 1.30)

Therefore, 1.10 and 1.30 have to be first normalized or standardized as follows:

For 1.10 kg

z = (x - μₓ) / σₓ = (1.10 - 1.20) / 0.0808 = -1.24

For 1.30 kg

z = (x - μₓ)/σₓ = (1.30 - 1.20) / 0.0808 = 1.24

The required probability can be determined when P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24).

From the normal distribution table, the following can be obtained for these probabilities:

P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24) = P(z ≤ 1.24) - P(z ≤ -1.24) = 0.89251 - 0.10749 = 0.7850, or 78.50%

Therefore, the sampling error is equal to 0.0808 which is the standard deviation of the sampling distribution.

In terms of the sampling error, the result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.

Answer:

15400 books

Step-by-step explanation:

in the first year he sold =6859 books

in the second year he sold =8541 books

therefore, to find the book he sold altogether

6859+8541

= 15400 books altogether

Answer:

15400 books altogether.

Explanation:

Books sold in 1st year: 6859

Books sold in 2nd year: 8541

Total books sold:

                            6859 + 8541 = 15400.

9514 1404 393

Answer:

  (4, -15)

Step-by-step explanation:

We assume you want the vertex of ...

  y = x² -8x +1

We can add and subtract 16 to complete the square.

  y = x² -8x +16 +1 -16

  y = (x -4)² -15

Compare to the vertex form ...

  y = (x -h)² +k . . . . . . . quadratic with vertex (h, k)

We see that the vertex of the given function is ...

  (h, k) = (4, -15)

Answer:

Using PEMDAS the answer would be 192758

Step-by-step explanation:

(356*27)+(537*373)-(235*73)=

9612+200301-17155=

Solve

192758

Happy learning!

--Applepi101

Answer:

Step-by-step explanation:

H0 : u = 1.0 mg/kg

HA: u > 1.0 mg/kg

Test statistic = -10.09

p-value is approximately 1, would report 0.9999

α = 10% ; 0.1

Using the Pvalue, we can make a decision pattern ;

Recall ; H0 is rejected If Pvalue < α

Here,

Pvalue Given is ' 0.99999 α = 0.1

Pvalue > α ; Hence, we fail to reject the Null ;

The actual Pvalue calculated using the test statistic will be :

Pvalue(-10.09) with test statistic value using a Pvalue calculator

Pvalue < 0.00001

The difference of course is the symbol between the f and g letters.

The circle [tex]\circ[/tex] notation means we're doing a function composition.

Writing [tex](f \circ g)(x)[/tex] is the same as saying [tex]f(g(x))[/tex] where g is the inner function.

Here's an example

f(x) = x^2

g(x) = 3x

f( g(x) ) = ( g(x) )^2 ... note how x is replaced with g(x)

f( g(x) ) = ( 3x )^2

f( g(x) ) = 9x^2

-------------------

On the other hand, the dot notation means we multiply the f(x) and g(x) functions.

Going back to the previous example, we could say

[tex]f(x) = x^2\\\\g(x) = 3x\\\\(f \cdot g)(x) = f(x)*g(x)\\\\(f \cdot g)(x) = x^2*3x\\\\(f \cdot g)(x) = 3x^3\\\\[/tex]

Answer:

D. 6

Step-by-step explanation:

Range of any data set is the difference between the maximum value and the minimum value.

From the graph given above, the least data value plotted on the graph is 1.

Minimum value = 1

The maximum data value = 7

The range of the data set = max - min

Range = 7 - 1

Range = 6

Answer: 25

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Substitute in the equation:

|(mx1-y1+b)| / √(m2 + (1)2) =

= |(0+-5+-5)| / √(9 + 1)

Sum and operate:

|-10| / √10 = 10 / √10

Exact solution is:

√10

Approximate solution is:

3.2

Answered by GAUTHMATH

Answer:

Tell her realtor she can only receive text messages

Step-by-step explanation:

Answer: the numbers are 6 and 4.

Step-by-step explanation: 6 times 4 equals 24

6 plus 4 equals 10

9514 1404 393

Answer:

Step-by-step explanation:

The total cost is the sum of products of number of items and item cost.

  (6 bags)(1.45/bag) +(2 bananas)(0.85/banana) = 8.70 +1.70 = 10.40

It would cost 10.40 for 6 bags of chips and 2 bananas.

__

Similarly, for x bags and y bananas, the cost is ...

  1.45x +0.85y

Answer:

x = 4

Step-by-step explanation:

If A is parallel to B, therefore,

9x + 4 = 5x + 20 (alternate interior angles are congruent)

9x + 4 - 5x = 5x + 20 - 5x (subtraction property of equality)

4x + 4 = 20

4x + 4 - 4 = 20 - 4 (subtraction property of equality)

4x = 16

4x/4 = 16/4 (division property of equality)

x = 4

Answer:

I hope this will help you

Answer:

हेहेवोफेन्वोश्व्भ्जेहेहेहेहेहीहेह्सुउआअन्ब्य्हपन्स्न्द्कह्ध्फ्फ्ज्बिफ्न्व्मौएएएकेनेह्फिग्ग्तिर

Step-by-step explanation:

ddhxuxhdheuejeuejeiejejwoqoooeurrttqoyuxj न्क्क्द्सिइएर्‍रिरिर्‍क्जेव्व्व्द!दर्‍फ्ज्र्ज्द्ज74848491$=:/%*$*73829238%77-%7:8/:="829192=/:

Answer:

D. y ≤ 2 and y ≤ x

Answer:

Step-by-step explanation:

Angle 1 and angle 2 are remote interior angles of angle 6 because angles 1 and 2 are on the inside and it is remote and across from angle six. You can also see this where angle 1 and angle 3 are remote interior angles of angle 5

So in turn angles 2 and 3 are remote interior angles of angle 4 for the same reasoning.

Answer:

maximum: y = 1

minimum: y = 0.

Step-by-step explanation:

Here we have the function:

y = f(x) =  √(1 + x^2 - 2x)

we want to find the minimum and maximum in the segment [0, 1]

First, we evaluate in the endpoints, which are 0 and 1.

f(0)  =√(1 + 0^2 - 2*0) = 1

f(1) = √(1 + 1^2 - 2*1) = 0

Now let's look at the critical points (the zeros of the first derivate)

To derivate our function, we can use the chain rule:

f(x) = h(g(x))

then

f'(x) = h'(g(x))*g(x)

Here we can define:

h(x) = √x

g(x) = 1 + x^2 - 2x

Then:

f(x) = h(g(x))

f'(x)  =  1/2*( 1 + x^2 - 2x)*(2x - 2)

f'(x) = (1 + x^2 - 2x)*(x - 1)

f'(x) = x^3 - 3x^2 + x - 1

this function does not have any zero in the segment [0, 1] (you can look it in the image below)

Thus, the function does not have critical points in the segment.

Then the maximum and minimum are given by the endpoints.

The maximum is 1 (when x = 0)

the minimum is 0 (when x = 1)

Answer:

10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.

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 case:

10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.

Answer:

2.35%

Step-by-step explanation:

According to the Empirical Rule,

71 - 79 and 79 - 87 are each 34% of the graph.

63 - 71 and 87 - 95 are each 13.5% of the graph.

55 - 63 and 95 - 103 are each 2.35% of the graph.

Hope this helps.

Answer:

31.7919075 % decrease

Step-by-step explanation:

To find the percent decrease

Take the original amount and subtract the new amount

1.73 billion - 1.18 billion =.55 billion

Divide by the original amount

.55 billion / 1.73 billion

.317919075

Change to percent form

31.7919075 % decrease