Please help I’m confused also if you can’t see it just click on the picture.

The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.

To find the observed z value we have to use the principles to create a formula.

The formula for finding the value of z is

z = ( x - μ)/(σ/√n)

here,

x = sample mean

μ = population mean

σ = standard deviation of the population

n = sample size

for the given question the values are

x = 50

μ = 45

σ = 5

n = 1

staging the values in the formula

z = (50-45)/(5/√1)

z = 1

The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.

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Answer:

m = 0.28571428571

or 0.29(to the nearest tenth)

Step-by-step explanation:

First, distribute

12(−1.4m+0.4)=

-16.8m + 4.8 =

Now move the constant to the right.

-16.8m + 4.8 =

-16.8m = -4.8 =

Now divide,

-16.8m = -4.8 =

m = 0.28 or 0.29

Answer:

The quotient of 8816/29 is 304.

The first number is 3 and the second is 18

Answer:

15 scores are less than 90

Step-by-step explanation:

Total 11 scores are less than 90 not 15

The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

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complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

The expression that shows the total number of hours that Erica works each week = (5 + x) 7

Tutoring is defined as the act of impacting knowledge to an individual or group of people either for academic purpose or for personal needs.

Erica earns by both tutoring and babysitting.

The hours she spends in tutoring per day = 5 hours.

The hours she spends in babysitting per day = x hours

Number of days in the week = 7

The total number of hours = (5 + x) 7

Therefore the expression that can be used to show the total hours that Erica worked for each week would be = (5 + x) 7

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Answer:

3.25 x 10^-5

Step-by-step explanation:

( 5 x 10^-2 ) x ( 6.5 x 10^-4 )

1/20 x 13/20000

13/400000

3.25 x 10^-5

Answer:

The answer is A b c and d

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

0.063

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer c

Step-by-step explanation:

Answer:

51,51,78

Step-by-step explanation:

First of all equate the two angles since it is isoceles.

3x+9= 4x-5 , therefore x= 14

sub that in and find the rest of the angles.

angle G---> 4*14 -5 = 51

angle I--->3*14+9= 51

last angle 180 - 2*51 = 78

Answer:

0.5

Step-by-step explanation:

ANSWER

1/35

EXPLANATION

First we have to find how many ways you can pick 3 horses out of 7. For the first place you have 7 horses that can be there. For the second place, you have 6 horses (you already placed one horse) and for the third place you have 5 horses. The number of ways to pick 3 horses - in order - from 7 horses is:

Now we want to know the permutations for 3 horses. Once you have picked one combination out of the 210 combinations of 3 horses, there are many ways to arrange them. This is:

Let 'A' be the event where the gambler wins his bet:

We can simplify this fraction:

Answer:

68 i think

Step-by-step explanation:

The cross-sectional area of the shaft is 314 mm²

The outside diameter (d₂) = 6 cm = 60 mm

The inside diameter (d₁) = 4 cm = 40 mm

The cross sectional area of the shaft (A) is given by:

A = π(d₂ - d₁)²/4

Substituting values:

A = π(60 - 40)²/4

Simplifying the equation:

A = 314 mm²

The cross-sectional area of the shaft is 314 mm²

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Answer:

192 minutes

Step-by-step explanation:

24,000 times .4 = 9600

9600 / 50 = 192

Step-by-step explanation:

the volume of the cube at the beginning is

edge³ = 16³ = 4096 cm³

after 1 minute it is 4101 cm³

that means the edge is then

cubic root(4101) = 16.00650777... cm

the surface area of a cube is

6×edge²

at the beginning it was

6×16² = 1536 cm²

after 1 minute (and the increased volume) it is

6×16.00650777...² = 1,537.249746... cm²

at that moment the surface area is increasing at

1.249745825... cm²/ minute

Answer:

It took her approximately 6.1 hours to run both races.

Step-by-step explanation:

3.15 plus 2.9 equals 6.05, rounded to the tenths place is 6.1.

EQUATION:

\(y = \frac{k}{x} \)

––––––––

First, find the constant of variation k using the formula k=xy.

\(23 = \frac{k}{8} \)

\(k = (8)(23)\)

\(k = 184\)

––––––––

Then, find y if x is equal to four using the formula y=184/x.

\(y = \frac{184}{x} \)

\(y = \frac{184}{4} \)

\(y = 46\)

Final Answer:

Answer:

Volume left in the cylinder if all the cone is made full:

\(\bold{345.72 \ ml }\)

Step-by-step explanation:

Given

Radius of cylinder = 5 cm

Height of cylinder = 14 cm

Radius of cone = 6 cm

Height of cone = 20 cm

To find:

Liquid remaining in the cylinder if cone is made full from cylinder's liquid.

Solution:

We need to find the volumes of both the containers and find their difference.

Volume of cylinder is given by:

\(V_{cyl} = \pi r^2h\)

We have r = 5 cm and

h = 14 cm

\(V_{cyl} = \dfrac{22}{7} \times 5^2\times 14 = 1100 cm^3\)

Volume of a cone is given by:

\(V_{cone} = \dfrac{1}{3}\pi r^2h = \dfrac{1}{3}\times \dfrac{22}{7} \times 6^2 \times 20 = \dfrac{1}{3}\times \dfrac{22}{7} \times 36 \times 20 = 754.28 cm^3\)

Volume left in the cylinder if all the cone is made full:

\(1100-754.28 =345.72 cm^3\ OR\ \bold{345.72 \ ml }\)

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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Answer

b

Step-by-step explanation:

I hope this is right

The correct answer is b.) 2.78 hours

Let d represents the number of miles, Shanice is from home at time t (hours). Since she is 27.2 miles from home and she rides at an average of 9.8 miles per hour, hence:

d = 27.2 - 9.8t

At time the time she is at home, d = 0, hence to find the number of hours it takes her to ride home, we equate d = 0 and solve for t, hence:

0 = 27.2 - 9.8t

9.8t = 27.2

t = 2.78 hours

Therefore, it takes her 2.78 hours to ride home.

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Answer:

B, 36 sandwiches

Step-by-step explanation:

120/100 is equal to 1.2. so 1% is 1.2. then multiply that by 30, and you get 36 sandwiches

t-value (-4.38) is greater than the absolute value of

the critical t-value (1.990), we can reject the null hypothesis and conclude

that there is convincing evidence that the mean reading level for health-

related pages differs for Wikipedia and WebMD.

To test if there is convincing evidence that the mean reading level for

health-related pages differs for Wikipedia and WebMD, we can use a

two-sample t-test.

Let's set up the null and alternative hypotheses:

Null hypothesis: The mean reading level for health-related pages is the

same for Wikipedia and WebMD (μ1 = μ2)

Alternative hypothesis: The mean reading level for health-related pages

differs for Wikipedia and WebMD (μ1 ≠ μ2)

We will use a significance level of 0.05, which means that we are willing

to accept a 5% chance of making a Type I error (rejecting the null

hypothesis when it is actually true).

We can use the following formula to calculate the test statistic:

t = (x_1 - x_2) / (s_pool × √(2/n))

Where:

x_1 and x_2 are the sample means

s_pool is the pooled standard deviation, calculated as:

\(\sqrt{ (((n1-1)\timess1^2 + (n2-1)\timess2^2) / (n1+n2-2))}\)

n is the sample size for each group

Plugging in the values, we get:

x1 = 26.2

x2 = 43.6

s1 = 14.2

s2 = 19.9

n1 = n2 = 40

s_pool = \(\sqrt{(((40-1)\times14.2^2 + (40-1)\times19.9^2) / (40+40-2))} = 17.0\)

t = (26.2 - 43.6) / (17.0 × √(2/40)) = -4.38 (rounded to two decimal places)

Looking up the critical t-value with degrees of freedom = 78 (df = n1 + n2 - 2), and a significance level of 0.05, we get:

t_critical = ±1.990

Since our calculated t-value (-4.38) is greater than the absolute value of

the critical t-value (1.990), we can reject the null hypothesis and conclude

that there is convincing evidence that the mean reading level for health-

related pages differs for Wikipedia and WebMD.

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