30. find the value of x
(7x + 10) (11x - 6)
​

Answer:

The domain of a function is the set of all possible x values that satisfy the equation. We cannot answer this question without first knowing what the equation for f(x) is.

Step-by-step explanation:

Take for example the function y = f(x) = [tex]x^{2} +3[/tex]. Here, you can plug in literally any value for x and still get our a real number. Thus, the domain of f(x) is (-∞, ∞).

However, if your function is y = f(x) = [tex]\frac{2}{\sqrt{x+3} }[/tex] , not every x value is acceptable. First, we cannot have the denominator (bottom part) of the fraction be zero, because division by zero is undefined. Thus, x = -3 is not an acceptable value for x.

We also cannot take the square root of a negative number. Thus, we have the rule that x + 3 must be greater than or equal to zero.

[tex]x+3 > 0\\\\x > -3\\[/tex]

Normally we would use greater than or equal to zero, but because this is in the denominator, we don't want it to equal zero (and thus x = -3 is not acceptable).

So, the domain of x is (-3, ∞). The parenthesis tell us we do not include the negative three and we do not include infinity. In other words, the domain of x is all numbers greater than -3 but less than infinity.

So, first look at your equation for f(x), then see which values of x don't break the rules of math like division by zero or square roots of negative numbers. Good luck!

Answer:

4

Step-by-step explanation:

2 · 4 = 8

8 + 4 = 12

the value of x is 4

Answer:

It all depends on the food they are going for, just like humans, mice have instincts. For example, if you were falling forward, which foot would you put out? Most likely the opposite one. I hope this helps you!

Step-by-step explanation:

Using hypotheses testing,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

We have,

(a)

To test whether the data suggest that mice show a preference towards one paw over the other, we can use a one-sample proportion test.

The null hypothesis (H0) is that the proportion of mice that use their right paw is 0.5 (indicating no preference towards one paw over the other).

The alternative hypothesis (Ha) is that the proportion of mice that use their right paw is different from 0.5 (indicating a preference towards one paw over the other).

We can use a significance level (alpha) of 0.05.

To conduct the test, we can calculate the test statistic using the formula:

z = (p - 0.5) / √(0.5 x 0.5 / n)

where p is the proportion of mice that use their right paw, and n is the sample size.

Using the given data, we have:

p = 18/48 = 0.375

n = 48

Plugging in the values, we get:

z = (0.375 - 0.5) / √(0.5 x 0.5 / 48) = -1.714

Using a standard normal distribution table or calculator,

We can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as -1.714 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.0869.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that mice show a preference towards one paw over the other, based on the given sample.

(b)

With the new dataset of 480 observations, we can still conduct a similar analysis using a one-sample proportion test.

However, since each mouse was measured 10 times, the observations are no longer independent.

Therefore, we need to use a different test that accounts for the dependency between observations, such as McNemar's test.

McNemar's test is a test of the marginal homogeneity of a two-way table, where the same subjects are measured twice on a binary outcome.

In this case, we can create a 2x2 contingency table of the number of times each mouse used their right or left paw, and conduct a McNemar's test on this table.

The null hypothesis for McNemar's test is that there is no difference in the proportions of mice that use their right or left paws.

The alternative hypothesis is that there is a difference.

To conduct the test, we can calculate the test statistic using the formula:

chi-squared = (|b-c|-1)² / (b+c)

where b is the number of mice that used their right paw more often, and c is the number of mice that used their left paw more often.

Using the given data, we have:

b = 214

c = 244

Plugging in the values, we get:

chi-squared = (|214-244|-1)² / (214 + 244) = 2.417

Using a chi-squared distribution table or calculator with 1 degree of freedom (since we have a 2x2 table), we can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as 2.417 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.119.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that there is a difference in the proportions of mice that use their right or left paws, based on the new dataset.

Thus,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

Learn more about the hypotheses test here:

https://brainly.com/question/28331914

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Answer:

39

Step-by-step explanation:

8(4) + 11 -2(2)

32 + 11 - 4

43 - 4

39

Answer:

10

Step-by-step explanation:

10 / 2 = 5

(2x4) = 8

(5 + 8) - 3

13 - 3

10

Answer:

10

Step-by-step explanation:

5+8-3=10

Answer:

a. N=11

D=12

b. N=1

D=7512

c. N=12

D=0

d. N= 1

D=978

Answer:

945

Step-by-step explanation:

Answer is 4%

If you keep subtracting 20.8 with any percent at all you would find your answer

If you need more work shown i will give you more by saying it in comments. ^^

Answer:  25%

Step-by-step explanation:

Total pieces=20

apple pieces=5

 =apple pieces/total pieces

=  5/20

for %age multipilying with 100

= 0.25×100

=25 percent

Answer:

.......

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Take half of b (6/2=3)

Square it (3^2=9)

Answer:

7 = 1 = 21

Step-by-step explanation:

Answer:

10 / (7 + g)

Step-by-step explanation:

Answer:

Image 1

Step-by-step explanation:

To answer this question, we need to know how to use a box plot.

I've attached an image that demonstrates this well and can teach you what each part of the box plot means.

Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.

With this, we can analyze each box plot and determine which one is correct.

Box Plot 1: Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.

Box Plot 2: Everything plotted correctly EXCEPT maximum of 48 is represented at 46.

Box Plot 3: Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.

Box Plot 4: Upper quartile represented at 39 and maximum represented at 46 are both incorrect.

Answer:

-3

Step-by-step explanation:

Answer:

x = 1 and 10

Step-by-step explanation:

Given the equation \sqrt{-x+26}=x-6, we are to find the value of x

Take the square of both sides

(\sqrt{-x+26})²= (x-6)²

-x+26 = (x-6)²

Expand the parenthesis

-x+26 = x²-12x+36

x²-12x+36+x-26 = 0

x²-11x+10 = 0

x²-10x-x +10 = 0

x(x-10) -1()-10) = 0

(x-1)(x-10) = 0

x - 1 =0 and x - 10 = 0

x = 1 and 10

Hence the value of x is 1 and 10

9514 1404 393

Answer:

  (d)  new line is less steep

Step-by-step explanation:

Changing the slope from 3 to 1/3 makes the line less steep.

__

In the attachment, the blue line is the new line.

Answer:

c

Step-by-step explanation:

range is the largest -the smallest

median is the line between 9 and 10

first quartile is on 6

I’m working on these as well! Hope this helps! Happy Friday! <3

Answer:

Should be the 3rd quartile.

Step-by-step

Because the first quartile ends at 10.5, because of the line, I believe, and 18 is past 11. So, it should be the 3rd quartile.

Answer:

1 : 18

Step-by-step explanation:

When finding scale factor, both measurements should in same unit

Circumference of the model bell = 8 inches

1 feet = 12 inches

12 feet = 12 * 12 = 144 inches

Circumference of the actual bell = 12feet = 144 inches

Model  : Actual = 8 : 144

                           = 8÷8 : 144÷8

                           = 1 :  18

Answer:

Okay so A will equal 45 degrees

Step-by-step explanation:

When you have a right triangle the other angle measures will be 45 degrees. The interior sum of all the angles will always be 180 degrees. The other angle will be 45 degrees as well

Answer:

Step-by-step explanation:

h = 4.2 in

Volume = 3.6  cubic inches

[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]

r = 0.9 in

Answer:

.... ..................

Answer:

25 dfferent ways

Step-by-step explanation:

The answer is 25 different ways because since there are students and thy line up behind each other you  would do 5 times 5 which equals to 25.

Step-by-step explanation:

There are a total of 8 cards, you are picking only one card,

therefore P(5) =

[tex] \frac{1}{8} \times 100 \\ = \frac{100}{8} \\ = 12.5percent[/tex]

Answer:

the answer is 337

Step-by-step explanation:

-5 + 280 + 62

= 337

Answer:

337

Step-by-step explanation:

-5 plus 280 is 275

275 + 62 is...

337

Answer:

i dont know

Step-by-step explanation:

uhhh

Answer:

42% chance

Step-by-step explanation:

Since there are 21 red marbles and 29 blues ones, the total amount of marbles is 50. There are only 21 red marbles out of 50 marbles so there is a 21/50 chance that you will pick a red marble.

Answer:

A. 45

- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD

The value of y in the given diagram is 45.

Option A is the correct answer.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

Let the corresponding angle with y is m.

Now,

y = m

Now,

45 and m are opposite angles.

So,

m = 45

Now,

The corresponding angle with y is m.

This means,

y = m

y = 45

Thus,

The value of y is 45.

Learn more about corresponding angles here:

https://brainly.com/question/1597341

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Answer:

[tex]y = 56.6208[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

[tex]cos(39) = \frac{44}{y}[/tex]

i.e.

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

Make y the subject

[tex]y = \frac{44}{cos(39)}[/tex]

[tex]y = \frac{44}{0.7771}[/tex]

[tex]y = 56.6208[/tex] -- approximated

Answer:

a and d

Step-by-step explanation:

i had this same question and a and d were the correct answers