solve these problems for me and i will do a 100 point giveway

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

the answer to (-7/10)(2/5) is -7/25.

or if you need decimal form it is -0.28

Step-by-step explanation:

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer: B

Step-by-step explanation:

Ex: Shortest to smallest.

Answer:

123 Square Feet. Of Paint. Probably gonna take a little more than a sample-size quart, let me know how it turns out.

Step-by-step explanation:

You would need 11*15=165 square feet of paint. BUT

You need 42 less square feet, because there are 2, 7*3=21 square-foot windows.

165-42

Answer: Your answer would be C) 32.1%

Step-by-step explanation:

With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)

Have a wonderful rest of your day!

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

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When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).

Answer:

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. CI [6583.336 ,6816.336]

d.  The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

Population mean = u= 6500 hours.

Population standard deviation = σ=500 hours.

Sample size =n= 50

Sample mean =x`=  6,700 hours

Sample standard deviation=s=  600 hours.

Critical values, where P(Z > Z) =∝ and P(t >) =∝

Z(0.10)=1.282  

Z(0.05)=1.645  

Z(0.025)=1.960  

t(0.01)(49)= 1.299

t(0.05)= 1.677  

t(0.025,49)=2.010

Let the null and alternate hypotheses be

H0: u = 6500 against the claim Ha: u ≠ 6500

Applying Z test

Z= x`- u/ s/√n

z= 6700-6500/500/√50

Z= 200/70.7113

z= 2.82=2.82

Applying  t test

t= x`- u /s/√n

t= 6700-6500/600/√50

t= 2.82

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

Yes we reject H0  for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645

For t test  we reject H0   as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. The 95 % confidence interval of the population mean life is estimated by

x` ±  z∝/2  (σ/√n )

6700± 1.645 (500/√50)

6700±116.336

6583.336 ,6816.336

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Answer:

\(\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}\)

Step-by-step explanation:

Given

\(\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}\)

Required

Fill in the gaps

Going by the given parameters, we have that

\(\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}\)

\(x^2 - 9x + 8\), when factorized is \((x-1)(x-8)\)

Hence; the expression becomes

\(\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}\)

Combine Fractions

\(\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}\)

Simplify the denominators

\(4x + 2 = A + B\)

By direct comparison

\(A = 4x\)

\(B = 2\)

Hence, the complete expression is

\(\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}\)

Answer:4x+2/x2−9x+8 = −6/7(x−1) + 34/7(x−8)

Answer: Statement 1 is false.

Step-by-step explanation: 1 is false because all natural numbers, whole numbers, and integers are rationals.

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The relation that is a function is relation (b)

The ordered pairs in the option represent the given parameters

For a relation (i.e. the ordered pairs) to be a function, the following must be true:

Each y value on the ordered pair must have exactly one x value

i.e. no x value must point to the different y value

Having said that the relation that is a function is relation (b)

Hence, the the relation that is a function is relation (b)2

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Answer:

80%

Step-by-step explanation:

28/35 = 0.8

Divide. Convert a decimal to a percent by multiplying times 100.

0.8 × 100 = 80

Tara earned an 80%

You could use a calculator as described above or using mental math or pencil and paper:

28/35 = 4/5

Simplify.

4/5 = 8/10 = 80/100

Percent means per hundred, change 28/35 to hundredths as above.

Tara (still) gets an 80%.

Answer:

8

Step-by-step explanation:

plug in the values of x and y into the equation

4(4) / (2)

16 / 2 = 8

Answer: It's just a line

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

8 * 3 = 24

12 * 2 = 24

(the star is the multiplication sign)

Hope this helps :)

The output used to determine the significance of the F-test in an ANOVA summary report is the F-critical value.

The F-test is a statistical test used to compare the variance between the means of two or more groups, and the F-critical value is the value against which the calculated F-statistic is compared to determine if the differences between group means are statistically significant or not.

The F-critical value is calculated based on the degrees of freedom and the desired level of significance or alpha level. If the calculated F-statistic is greater than the F-critical value, the null hypothesis is rejected, and it is concluded that there is a significant difference between the means of the groups being compared.

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Answer:

3(x+2y+1)

3x+6x+3

Step-by-step explanation:

Answer:

A) 3

Step-by-step explanation:

Zeroes, x-intercepts, or roots, are the x-values where the function intersects the x-axis. We can see that the x-axis is intersected 3 times, so there are 3 zeroes.

Answer:

1. Rotation

2. Reflection

3. Translation

Explanation:

1. Rotate figure A to the right it would match figure B

2. Imagine folding figure A down it would match figure B

3. Move figure A down and right and it would match figure B

Answer:

Step-by-step explanation:

If ali has 23 so Raina has 7 more than Ali = 23 + 7 = 30

And trey has 4 times as much as Ali = 23 x 4 = 92

Total = 92 + 23 + 30 = 145

Step-by-step explanation:

Step 1:  Subtract 87 from both sides

\(2x^2 - 11 - 87 = 87 - 87\)

\(2x^2 - 11 - 87 = 0\)

Step 2:  Factor

\(2x^2 - 11 - 87 = 0\)

\(2(x + 7)(x - 7) = 0\)

\(x + 7 = 0\) and \(x - 7 = 0\)

\(x = -7\) and \(x = 7\)

Answer:  \(x = -7, 7\)

Answer:

x = 7, -7

Step-by-step explanation:

2x² - 11 = 87

2x² = 98

x² = 49

x = +/-7

Answer: Uno by Ambjaay

Step-by-step explanation:

It’s a song?

Answer:  the rock will be at a height of 1,976 feet above the ground after approximately 8 seconds

Step-by-step explanation:

We can start by setting the height function equal to 1,976 and solving for t:

-16t² + 3000 = 1976

Subtracting 1976 from both sides, we get:

-16t² + 1024 = 0

Dividing both sides by -16, we get:

t² - 64 = 0

Factoring, we get:

(t + 8)(t - 8) = 0

So t = 8 or t = -8. We can ignore the negative solution since time cannot be negative.

Therefore, the rock will be at a height of 1,976 feet above the ground after approximately 8 seconds.

Answer: (A) 8 sec