14. a) Calculate 27 + (42 ÷ 7 + 3) ÷ 3
……………………………………
b) Work out 18 (66 – 10)
………………………………………
c) Write the missing number to it correct.
9 + 7 x ………….. – 18 = 54

d) A number is multiplied by itself and 8 is added. The total is 72.
What is the number?
………………………………………

The P-value of the test statistic is approximately 0.0445. To determine the P-value, we need to perform a hypothesis test. The null hypothesis (H₀) is that the actual percentage of chips that do not fail is equal to or less than the stated percentage of 73%.

The alternative hypothesis (H₁) is that the actual percentage is greater than 73%.

We can use the normal approximation to the binomial distribution since the sample size is large (1300) and both expected proportions (73% and 74%) are reasonably close. We calculate the test statistic using the formula:

z = (P - p₀) / √[(p₀ * (1 - p₀)) / n]

where P is the sample proportion (74% or 0.74), p₀ is the hypothesized proportion (73% or 0.73), and n is the sample size (1300).

Substituting the values, we get:

z = (0.74 - 0.73) / √[(0.73 * 0.27) / 1300]

Calculating this expression, we find that z is approximately 1.556.

Since we are testing if the actual percentage is more than the stated percentage, we are interested in the right-tailed area under the standard normal curve. We find this area by looking up the z-value in the standard normal distribution table or using statistical software. The corresponding area is approximately 0.0596.

The P-value is the probability of observing a test statistic as extreme as, or more extreme than, the one obtained under the null hypothesis. Since the P-value (0.0596) is less than the significance level of 0.05, we have enough evidence to reject the null hypothesis.

Therefore, there is sufficient evidence at the 0.05 significance level to support the quality control manager's claim that the actual percentage of chips that do not fail in the first 1000 hours is more than the stated percentage.

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Answer:

shawnmendesiskingofpop

Step-by-step explanation:

lol stream wonder

Answer:

5:9

Step-by-step explanation:

the circumference is d*pi

so you must find the diameter of both circles

31/pi = 9.86760647

which is about 10

57/pi = 18.1436635

which is about 18

10:18 is your ratio

but you can simplify this down to

5:9

Answer:

60 boys

Step-by-step explanation:

To find how many boys, you need to find how many times more than 75 is than five. To do that, divide 75 by 5 and you'll get 15. Multiply 4 by 15 and you get 60 boys. (i'm guessing bc im in middle school lol)

6 students can be seated in a row of 6 chairs in 121 ways.

Given,

Number of students = 6

Number of chairs = 6

We have to find the number of ways the students can be seated in a row.

Here,

Jack insists on sitting in the first chair.

So, 1 way of sitting for jack.

Next,

5 students and 5 chairs are there.

So they can sit in;

5! = 120 ways

Therefore,

Total number of way of sitting is 120 + 1 = 121 ways.

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Answer:

7.15 times 5 plus 5.75=$41.5

Step-by-step explanation:

Answer:

$41.50

Step-by-step explanation:

Answer:

whatttttt6 whattttt whattt

59.7

Step-by-step explanation:

How many magazines are there?

12 magazine.

Step by step explanation:

The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?

Story: c

Magazine: r

C / R

C = 4K

R = 3k

4K + 3k = 28

7k = 28

K = 7/28

K = 4

Substituting:

C = 4X4 = 16

R = 3x4 = 12

Ratio of stories to magazines: 4:3

There are 28 stories, so that would mean we would have to divide 28 by 4 to get the common rate.

28/4 = 7

So, now we can substitute it to solve the amount of magazines.

4 x 7 = 28

3 x 7 = 21

Thus, there are 21 magazine and the non-simplified ration of stories to magazines is 28:21.

The required probability of rolling a sum of 5 with two dice is 1/9.

Given that two dice are rolled and find the probability of a sum of 5.

To find the probability of rolling a sum of 5  with two dice, write the sample space and then determine the number of favourable outcomes that is the outcomes where the sum is 5 and the total number of possible outcomes.

The formula to find out the probability of any event is

P(event) = (number of favourable outcomes) / total number of possible outcomes.

The sample space of the event  of rolling two dice is

S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

       (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

      (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

       (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

       (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

       (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

The total possible outcomes is 36.

The favourable outcomes that is the outcomes where the sum is 5 is

(1, 4), (2, 3), (3, 2), (4, 1).

The number of favourable outcomes are 4.

By using the data and formula, the probability of rolling a sum of  5 is,

P(rolling a sum of  5) = (number of favourable outcomes) / total number of possible outcomes.

P(rolling a sum of  5) = 4/ 36

On dividing both numerator and denominator by 4 gives,

P(rolling a sum of  5) = 1/9.

Hence, the required probability of rolling a sum of 5 with two dice is 1/9.

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If the function f(x) = \(x^2\), then the function g(x) = \(-x^2-2\)

From the given graph

The function is

f(x) = \(x^2\)

The function is the rule the shows the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. We can also says that the it show the relationship between input and output of the function

We can see that the function g(x) is the reflection of the function f(x) at y = -2

The reflection of f(x) = - f(x)

= - \(x^2\)

The reflection of f(x) at y = -2 is

f(x) =  \(-x^2-2\)

Then the function g(x) = \(-x^2-2\)

Hence, If the function f(x) = \(x^2\), then the function g(x) = \(-x^2-2\)

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Answer:

\(x=±\sqrt[]{4}+9\)

The Van't Hoff factor for iron(III) nitrate nonahydrate is 4. Iron(III) nitrate nonahydrate is an ionic compound consisting of iron(III) ions (Fe3+) and nitrate ions (NO3-) held together by electrostatic forces.

Iron(III) nitrate nonahydrate, Fe(NO3)3·9H2O, dissociates into four ions when it dissolves in water. Each formula unit of the compound releases one iron(III) ion (Fe3+) and three nitrate ions (NO3-). Additionally, the presence of nine water molecules per formula unit also contributes to the total number of particles. These water molecules do not dissociate, but they are considered as separate particles. Hence, the total number of particles per formula unit is 4, resulting in a Van't Hoff factor of 4 for iron(III) nitrate nonahydrate.

The Van't Hoff factor is determined by the extent of dissociation of a compound in a solution. In the case of iron(III) nitrate nonahydrate, the compound dissociates into its constituent ions, which leads to an increase in the number of particles in the solution. Each formula unit releases one Fe3+ ion and three NO3- ions. Furthermore, the nine water molecules per formula unit are also considered as separate particles, although they do not dissociate. The total number of particles per formula unit is 4, which results in a Van't Hoff factor of 4 for iron(III) nitrate nonahydrate.

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Greatest number that divides 300, 560 and 500 is 20 .

Given numbers : 300, 560 and 500

First let’s find prime factors of 300,560 and 500

300 = 2^2 *3^1 *5^2

560= 2^4 * 7^1 *5^1

500 = 2^2 * 5^3

So,

Here highest common power of 2 is 2

Here highest common power of 3 is 0

Here highest common power of 5 is 1

Here highest common power of 7 is 0

Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0

=4*5*1*1

= 20

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Answer:

0.0652173

Step-by-step explanation:

Given that :

6 chocolate chip cookies

6 peanut butter cookies

6 sugar cookies

6 oatmeal cookies

Total number of cookies purchased = (6+6+6+6) = 24

Probability, P= required outcome /total possible outcomes

This is a selection without replacement probability problem :

P(peanut butter cookies) = 6/24 = 1/4

Then ;

P(chocolate chip cookie) = 6/23

Hence,

P(peanut butter cookies then chocolate chip cookie) = 1/4 * 6/23 = 0.0652173

Answer:

\(g(f(x)) = gof(x) =( x - 7)^{2} \\ = {x}^{2} - 14x + 49 \\ g(f(4) )\times g(f(4)) = (4^{2} - 14 \times 4 + 49 )\times( 4 ^{2} - 14 \times 4 + 49) \\ = 9 \times 9 \\ = 81\)

Answer:

A) 32 fl oz

Pints: 2

Gallons: 0.25

B) 24 c

Pints: 12

Gallons: 1.5

Step-by-step explanation:

Not much It is just knowing the conversions haha

The cost to customer after seven months of service is equal to $171.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

Next, we would set up or write an equation that shows the relationship between the months of service and the total charges as follows;

y - 81 = 18(x - 2)

By making "y" the subject of formula, we have the following:

y = 18x - 36 + 81

y = 18x + 45

After seven (7) months of service, the cost is given by:

y = 18(7) + 45

y = $171.

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Answer:

433345344 Answer

Step-by-step explanation:

'S' is the incenter, so Angle Bisectors type of segments are drawn.

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Answer:

C

Step-by-step explanation:

The y intercept is the highest

To write the equation of a line that is perpendicular to y = 2x - 5, we need to find the slope of the new line.

As we know, the slope of a line perpendicular to y = 2x - 5 is the negative reciprocal of the slope of y = 2x - 5, which is -1/(2) = -1/2.

To find the equation of the line in slope-intercept form (y = mx + b), we can use the point (2, -5) and the slope of -1/2.

We know that the point (2, -5) belongs to the line, so we can substitute these values into the equation:

y = -1/2x + b

-5 = -1/2(2) + b

-5 = -1 + b

b = -4

So, the equation of the line in slope-intercept form is:

y = -1/2x -4

This is the equation of a line that is perpendicular to y = 2x - 5 and passes through the point (2, -5)

Lane Games

ChatGPT Jan 9 Version. Free Research Preview. Our goal is to ma

Answer:

thus next three terms are -3,-5,-7

Step-by-step explanation:

a=1

first find d

-1-1

-2

then a.p= a,a+d,a+2d,a+3d,a+4d

=1,1-2,1+2×-2,1+3×-2,1+4×-2

=1,-1,1-4,1-6,1-8

=1,-1,-3,-5,-7

plz mark as brainlist

The given series 1, -1,... is arithmetic progression series whose pattern is a, a +d, a + 2d, a + 3d + a + 4d , ....

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression is more often used, for instance in the sum of natural numbers.

1, 2, 3, 4, 5, 6, 7, and 8 are natural numbers.

The difference between any two subsequent terms is now the same: d = 2-1 = 3-2.

Given,

1 , -1 , ...

If we subtract the second term from first

-1 - 1 = -2

So, a common difference between the series will be -2

Now,

Third term = a + 2d = 1 + 2 (-2) = -3

Fourth term = a + 3d = 1 + 3 (-2) = -5

Fifth term  = a + 4d = 1 + 4 (-2) = -7

Hence the general rule will be  a, a +d, a + 2d, a + 3d + a + 4d , ....

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If the bag contains a total of n blocks and m of them are blue, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws, assuming the selection process is random and the probabilities remain constant.

Let's assume that the bag contains a total of n blocks, and m of them are blue blocks. The probability of selecting a blue block on each draw, P(blue), would be m/n.

Since we are replacing the block after each selection, the total number of blocks in the bag remains the same throughout the process. Therefore, the probability of selecting a blue block on each draw remains constant at m/n.

To find the expected number of times we would select a blue block, we can multiply the probability of selecting a blue block on each draw (m/n) by the total number of draws (12):

Expected number of blue blocks = (m/n) * 12

The reasoning behind this is that in each individual draw, the probability of selecting a blue block is m/n. By performing 12 independent draws, we can expect to encounter this probability m/n a total of 12 times on average.

Therefore, if the bag contains n blocks with m blue blocks, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws.

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Answer: 739.32in

Step-by-step explanation:

Since we are informed that originally the TV was 32 inches (across the diagonal) and had an area of

446.38in while thee new TV is 53 inches across the diagonal.

The area of the new TV would simply be calculated as:

= (53 × 446.38) /32

= 23658.14 / 32

= 739.32in

A critical value, z subscript alpha (zα), denotes the boundary or cutoff point for a statistical test where the level of significance, also known as alpha (α), is set.

A critical value, z subscript alpha (zα), denotes the value at which the probability of observing a test statistic in the tail(s) of the sampling distribution equals the pre-determined significance level (alpha).

The critical value can be defined as the value that is compared with the parameter value in the hypothesis test to determine whether the null hypothesis will be rejected. If the value of the parameter is less than the critical value, the null hypothesis is rejected.

However, if the measured value is higher than the critical value, reject the null hypothesis and accept the alternative hypothesis. In other words, cropping divides the image into acceptable and unacceptable areas. If the value of the index falls within the rejection range, the rejection of the fact is rejected, otherwise the negative hypothesis is rejected.

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The number is 15.

   2x/3-7=3

   3(2x/3–7)=3×3

   2x-21+21=9+21

   2x/2=30/2

   x=15

Proof

   15×2=30

   30/3=10

   10–7=3

Answer:

Step-by-step explanation:

This is a horrible credit union  they charged $3, just for her to have access to her own money, then they overdraft fee charged  her for $20  :/   she spent 62 dollars , that she had, but b/c they charged her 3 dollars to access her money,  it made her also get the overdraft fees.  This seems like usery to me and this bank should be closed.  Fined ,  and barred from doing business.  >:/  

so on the 11th she was -23  dollars,  she was in debt to her bank 23 dollars,  

88-23=65

on the 16th she was 65-43 = 22    postive :)

Answer:

165 cm

Step-by-step explanation:

We solve using the rule

Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl

Shadow of ruler = 20cm

Length of ruler = 30cm

Shadow of the girl = 110cm

Length of the girl = x

Hence:

20/30 = 110/x

Cross Multiply

20x = 30 × 110

x = 30 × 110/20

x = 165 cm

Therefore, Sierra(the girl) is 165cm tall

To determine the percent of change in the function F(x) = 4(1.25)^(t+3), we need additional information, such as the initial value or the value at a specific time point.

To explain further, the function F(x) = 4(1.25)^(t+3) represents a growth or decay process over time, where t represents the time variable. However, without knowing the initial value or the value at a specific time, we cannot determine the percent of change.

To calculate the percent of change, we typically compare the difference between two values and express it as a percentage relative to the original value. However, in this case, the function does not provide us with specific values to compare.

If we are given the initial value or the value at a specific time point, we can substitute those values into the function and compare them to calculate the percent of change. Without that information, it is not possible to determine the percent of change in this case.

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The 95% confidence interval for the population mean, based on the given sample data with the outlier value changed to 8, is approximately (2.8653, 6.1347).

To construct a 95% confidence interval for the population mean, based on the given sample data with the outlier value changed to 8, we follow these steps:

By calculating the sample mean (\(\bar{x}\)) and sample standard deviation (s).

Sample mean (\(\bar{x}\)):

\(\bar{x}\) = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) ÷ 8 = 36 ÷ 8 = 4.5

Sample standard deviation (s):

To find s, we first calculate the squared deviations from the mean for each data point:

(1 - 4.5)², (2 - 4.5)², (3 - 4.5)², (4 - 4.5)², (5 - 4.5)², (6 - 4.5)², (7 - 4.5)², (8 - 4.5)²

= 12.25, 6.25, 2.25, 0.25, 0.25, 2.25, 2.25, 0.25

Then, we calculate the sum of the squared deviations and divide it by (n - 1) to find the sample variance:

sum of squared deviations = 12.25 + 6.25 + 2.25 + 0.25 + 0.25 + 2.25 + 2.25 + 0.25 = 26.75

sample variance (s²) = 26.75 ÷ (8 - 1) = 26.75 ÷ 7 ≈ 3.8214

Finally, the sample standard deviation (s) is the square root of the sample variance:

s = √(3.8214) ≈ 1.955

By calculate the margin of error (E).

The margin of error is given by E = t-critical × (s ÷ √n), where t-critical is the critical value from the t-distribution table for the desired confidence level and degrees of freedom.

For a 95% confidence level and n = 8, the degrees of freedom (df) = n - 1 = 8 - 1 = 7.

Using a t-distribution table or software, the t-critical value for a two-tailed test with df = 7 and a confidence level of 95% is approximately 2.365.

E = 2.365 × (1.955 ÷ √8) ≈ 2.365 × (1.955 ÷ 2.828) ≈ 2.365 × 0.6905 ≈ 1.6347

By calculate the confidence interval.

The confidence interval is given by (\(\bar{x}\) - E, \(\bar{x}\) + E).

Confidence interval ≈ (4.5 - 1.6347, 4.5 + 1.6347) ≈ (2.8653, 6.1347)

Therefore, the 95% confidence interval for the population mean, based on the given sample data with the outlier value changed to 8, is approximately (2.8653, 6.1347).

The effect of the outlier (the extreme value of 25 changed to 8) on the confidence interval is significant. The presence of the outlier in the original data significantly increased the sample standard deviation and the margin of error, leading to a wider confidence interval.

By replacing the outlier with a value closer to the mean, the sample standard deviation decreased, resulting in a narrower confidence interval. The outlier had a strong influence on the estimation of the population mean, causing a larger range of values in the confidence interval.

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