have to slove for x ​

Answer:

81

-125

Step-by-step explanation:

Answer:

X^2/3

Step-by-step explanation:

Answer:

$11.30

Explanation : 11.3= 1.10(8)+2.5

Answer:

S=(2,-2) ...............

In this scenario, we are given the following information: sample size (n) is 49, sample mean (P) is 50, sample standard deviation (s) is 7, null hypothesis (H₀) states that the population mean (μ) is greater than or equal to 52, and the alternative hypothesis (Hₐ) states that the population mean is less than 52.

The test statistic for this situation is the t-statistic, which measures the difference between the sample mean and the hypothesized population mean, taking into account the sample size and the sample standard deviation. It is used to assess the evidence against the null hypothesis. In this case, since the alternative hypothesis states that the population mean is less than 52, we have a left-tailed test. To calculate the t-statistic, we use the formula:

t = (P - μ) / (s / √n)

Plugging in the given values:

t = (50 - 52) / (7 / √49) = -2 / (7 / 7) = -2

Therefore, the test statistic for the provided information is -2. This value represents the standardized difference between the sample mean and the hypothesized population mean, accounting for the sample size and standard deviation. It indicates that the sample mean is 2 standard deviations below the hypothesized population mean of 52.

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The correct answer is 95.44%, representing the confidence level within 2 standard deviations above and below the mean in the standard normal distribution.

In the standard normal distribution, also known as the z-distribution, the mean is 0 and the standard deviation is 1. The Empirical Rule, also known as the 68-95-99.7 rule, states that within 1 standard deviation of the mean, approximately 68% of the data falls. Within 2 standard deviations, approximately 95% of the data falls, and within 3 standard deviations, approximately 99.7% of the data falls.

Thus, within 2 standard deviations above and below the mean of the standard normal distribution, we have approximately 95% of the data. This means that we can be confident about 95.44% of the data falling within this range.

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Answer:

287

Step-by-step explanation:

The statement that indicates that the triangles are congruent is option C. ΔDCE ≅ ΔDQR

When two or more triangles have equal length of sides or measure of internal angles, then they are said to be congruent. Therefore on comparing their corresponding sides and corresponding measure of internal angles, there are equal.

Comparing the corresponding angles of the given triangles in the question, we have;

i. m<C ≅ m<Q                  (alternate angle property)

ii. m<E ≅ m<R                  (alternate angle property)

iii. m<D = m<D                 (vertically opposite angle property)

Thus, it can be deduced that the two triangles are congruent.

i.e. ΔDCE ≅ ΔDQR

Therefore, the statement that indicates that the triangles are congruent is that of option C. ΔDCE ≅ ΔDQR

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Answer:

m A = 63

m C = 27

Step-by-step explanation:

to find the angle of a use trigonometry by doing, cos-1(17/38) = 63

to find C, we know angles in a triangle add to 180. We know the right angle is 90 degrees so do 90 + 63 = 153

180 - 153 = 27

so C = 27 degrees

The standard deviation of the number of free throws that Chauncey Billups will make in tonight's game is approximately 0.726.

To calculate the standard deviation of free throws that Chauncey Billups will make in tonight's game, we need to use the following formula:

Standard Deviation (σ) = √(n * p * (1 - p))

where n is the number of trials (free throws) and p is the probability of success (making a free throw).

In this case, n = 6 (as Billups shoots six free throws) and p = 0.894 (as his career free-throw percentage is 89.4%).

Substituting the values into the formula, we get:

Standard Deviation (σ) = √(6 * 0.894 * (1 - 0.894))

Calculating this expression, the standard deviation is approximately 0.726.

Therefore, the standard deviation of free throws that Chauncey Billups will make in tonight's game is approximately 0.726.

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Answer: 7.19

Step-by-step explanation:

Math

Answer:

7/8 or 1/2

Step-by-step explanation:

Because if the siblings ate 1/8 and u simplify 1/8 and u will get 1/2

2x +12=-4

2x= -4-12

2x=-16

x=-16/2

x= -8

Step-by-step explanation:

2x+12=-4

2x=-4-12

x=-16/2

x=-8

hope this helps you

have a good day.

Option C is correct.  Less than 100  is closest to total deaths resulting from ladder misuse each year.

According to the Consumer Product Safety Commission (CPSC), on average, approximately 300 people die each year in the United States from falls involving ladders.

However, not all of these deaths are due to ladder misuse. In fact, the number of deaths resulting specifically from ladder misuse is likely to be lower. It is estimated that a significant portion of ladder-related fatalities are caused by factors such as overreaching, misusing the ladder, or failing to follow proper safety guidelines.

To reduce the number of deaths and injuries resulting from ladder misuse, it is important to follow safety guidelines and to choose the right ladder for the job, taking into consideration factors such as height, weight, and stability.

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Answer:

C. Total Points = 10 • Months + 100

Answer:

x = 5

Step-by-step explanation:

Given

2x + 7 = 17 ( subtract 7 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Bar graph. This type of graph is ideal for comparing the number of sneakers sold by brand, as it clearly displays the numerical differences between them. It is also easy to interpret and visually appealing.

A bar graph is the best choice for displaying the number of sneakers sold by brand for the month. Bar graphs are used to compare data and show the differences between them. Each brand would be represented by its own bar, and the length of each bar would be determined by the number of sneakers sold. The bars can be labeled with the brand's name, and a numerical scale would be used at the bottom of the graph to indicate the number of sneakers sold. The data can be organized by either the number of sneakers sold (descending) or by the brand name (alphabetically). The bar graph would be easy to interpret and visually appealing. It is also a great way to compare the performance of different brands in a given period.

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Answer:

So, filling the box plot from left to right, we have the following values;

1 , 5, 8 , 11, 16

Step-by-step explanation:

Here in this question, we are interested in fixing the values in the box plot from the data given.

Mathematically, the box plot shows 5 values;

going from left to write at each point, we have

minimum value

lower quartile also called Q1

Median

Upper quartile also called Q3

and lastly;

Maximum value

From the question;

minimum value = 1 while maximum value = 16

So also, the median should be easy to obtain.

the median is simply the middle number;

We have 15 numbers in the set;

So therefore the median is the 8th number, counting from any of the ends of the arranged set.

From the data, this is a value of 8

Now let’s calculate the lower quartile

To calculate the lower quartile, we just add 1 to the total and divide by 4

= (N + 1)/4

That would be (15 + 1)/4 = 16/4 = 4

So the lower quartile will be the 4th term which is 5

Now, let’s calculate the upper quartile;

= (N + 1) * 3/4 = (15 + 1)* 3/4 = 3/4 * 16 = 12th term

By counting, this is 11

The numbers that complete the box are: 1, 5, 8, 11 and 16, in that order.

The dataset is given as: 1,4,4,5,5,7,8,8,10,11,11,11,14,15,16

The number to fill in the box plot are the minimum, lower quartile, median, upper quartile, and the maximum.

The smallest data is 1.

So, we have:

\(\mathbf{Minimum= 1}\)

The largest data is 1.

So, we have:

\(\mathbf{Maximum= 16}\)

The quartiles of the dataset are calculated as:

\(\mathbf{Q_n = n \times \frac{1 + N}{4}}\)

Where N = 15 (the sample size)

So, the lower quartile (Q1) is calculated as:

\(\mathbf{Q_1 = 1 \times \frac{1 + 15}{4} = 4th}\)

The 4th data element is 5.

So, the lower quartile is 5

The median (Q2) is calculated as:

\(\mathbf{Q_1 = 2 \times \frac{1 + 15}{4} = 8th}\)

The 8th data element is 8.

So, the median is 8

The upper quartile (Q3) is calculated as:

\(\mathbf{Q_3 = 3 \times \frac{1 + 15}{4} = 12th}\)

The 12th data element is 11.

So, the upper quartile is 11

So, the numbers that complete the box are: 1, 5, 8, 11 and 16, in that order.

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Answer:

3

Step-by-step explanation:

The probability that a student who did not complete the homework passed the test is 0.25.

Answer:

144, but i think it's B

Step-by-step explanation:

36 * 4 = 144

Answer:

Step-by-step explanation:

11 is B and 12 is B. 11 is B because perimeter means to add all the outside values of the shape. 2.5+5+4+1 and then there are two missing side values which are 1.5 and 1, add them all together and the perimeter is 15. For the area, separate the small square with the big rectangle to have two full shapes. The area of the rectangle is 4x2.5=10. Area of the small square is 1x1=1. 10+1=11. Hope this helps, ask questions if you need to

Answer:

Simple interest is calculated by multiplying the principal amount (the initial deposit) by the interest rate and the number of years.

The formula for simple interest is:

I = P * r * t

Where:

I = Interest

P = Principal (initial deposit)

r = Interest rate (expressed as a decimal)

t = Time (in years)

In this case, the principal amount is $500.00, the interest rate is 4.5% (converted to 0.045), and the time is 15 years.

We can plug in the values into the formula:

I = $500.00 * 0.045 * 15 = $337.50

So, after 15 years with the same interest rate, Arisia’s account would earn $337.50 in interest.

Answer:

He stills owes 9 dollars.

Step-by-step explanation:

-12+-15= -27. -27- 18= 9 .

Answer:

(x*(1+a))*0.8 = 400; x = 500/1+a

Step-by-step explanation:

First, increase the number (which we will call x) by a%

x*(1+a) -> You do 1 + a because if you wanted to increase let's say 5 by 20% you would do 5 + 5*0.2 and if you factor that out it becomes 5(1+0.2)

Next, decrease it by 80%.

(x*(1+a))*0.8

Finally, make it into an equation.

(x*(1+a))*0.8 = 400

If you solve it, you get:

x(1+a) = 500

x = 500/1+a

Answer:

4  3/11

Step-by-step explanation:

Find the function of the first two points

slope = delta y/delta x

slope = y1-y2/x1-x2

slope = (11-(-1))/(-10-1)

slope = 12/-11

Find the y intercept

y=(-12/11)x+b

-1 = (-12/11)*-1+b

-1 = 12/11+b

-23/11=b

y=(-12/11)x-23/11

Plug in x to find y

y=(-12/11)2-23/11

y= 4  3/11

The values we need to calculate Taylor polynomial are

f(0) = 3

f'(0) = -5

f''(0) = 11

To find the Taylor polynomial of degree two for f(x) centered at a = 0, we need the following values:

- The value of f(0), which is 3.

- The value of f'(0), which is equal to the derivative of f(x) evaluated at x = 0. Taking the derivative of f(x), we get:

f'(x) = 3e^x - 8e^(-x)

Evaluating at x = 0, we get:

f'(0) = 3 - 8 = -5

- The value of f''(0), which is equal to the second derivative of f(x) evaluated at x = 0. Taking the second derivative of f(x), we get:

f''(x) = 3e^x + 8e^(-x)

Evaluating at x = 0, we get:

f''(0) = 3 + 8 = 11

Therefore, the values we need are:

f(0) = 3

f'(0) = -5

f''(0) = 11

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complete question:

We are interested in the first few Taylor Polynomials for the function

f(x)=5ex+7e−x

centered at a=0

To assist in the calculation of the Taylor linear function, T1(x), and the Taylor quadratic function, T2(x), we need the following values:

f(0)=

f'(0)=

f''(0)=

Answer:

Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²

also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm

therefore by pythagoras theorem,

\( {15 }^{2} \)+ \({8}^{2} \)= \( {side}^{2} \)\( \sqrt{289 = side} \)

side = 17

Perimeter = 4×17 =68 cm.

Answer:

Step-by-step explanation:

\(\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;\)