Use the slope formula to find the missing coordinate. m =3/5 , P(3, 2) and Q(8,_)

The percentage of the scores are between 75.8 and 89 can be calculated using z-scores.

The percentage of the scores between 75.8 and 89 is 95%.

Given:

The mean is [tex]m=82.4[/tex].

The standard deviation is [tex]\sigma =3.3[/tex].

Calculate the Z- score for 75.8.

[tex]Z(75.8)=\dfrac{(75.8-82.4)}{3.3} \\Z(75.8) = -2[/tex]

Calculate the Z- score for 89.

[tex]Z(89)=\dfrac{(89-82.4)}{3.3}\\Z(89)=2[/tex]

Calculate the percentage of the scores are between 75.8 and 89.

[tex]P(75.8<X<89)=P(-2<Z<2)\\P(75.8<X<89)=P(Z<2)-P(Z<-2)\\[/tex]

Refer the z-table, put the value,

[tex]P(75.8<X<89)=0.9772-0.0227\\P(75.8<X<89)=0.9545[/tex]

Thus, the percentage of the scores between 75.8 and 89 is 95%.

Learn more about z-score here:

https://brainly.com/question/13299273

Answer:

20.99 years . plato

Step-by-step explanation:

Answer:

$145/10 = $14.50

$14.50 * 8 = $116.00

Step-by-step explanation:

Answer:

The height of the telephone pole is 14.711 m (Approx) .

Step-by-step explanation:

Let us assume that the height be x .

Let us assume that the shadow  be y .

(As the shadow is always proportional to the height .)

Thus

[tex]x\propto y[/tex]

y = kx

Where k is the constant of proportionality .

As given

if a statue that is 33 cm tall cast a shadow 83 cm long .

y = 83 cm

x = 33 cm

Put in the equation y = kx .

83 = 33k

[tex]k = \frac{83}{33}[/tex]

As given

A telephone pole cast a shadow that is 37 m .

Let us assume that the height of the telephone pole be z .

As

1m = 100cm

37m = 3700 cm

y = 3700 cm

x = z

Put in the equation  y = kx .

3700 = zk

[tex]k = \frac{3700}{z}[/tex]

Compare the value of k .

[tex]\frac{3700}{z} = \frac{83}{33}[/tex]

[tex]\frac{3700\times 33}{83} =z[/tex]

[tex]\frac{122100}{83} =z[/tex]

z = 1471.1 cm(Approx)

As

[tex]1\ cm = \frac{1}{100}\ m[/tex]

[tex]1471.1\ cm = \frac{1471.1}{100}\ m[/tex]

                       = 14.711 m (Approx)

Therefore the  height of the telephone pole is 14.711 m (Approx) .

The one-way ANOVA or one – way analysis of variance is used to know whether there are statistically substantial dissimilarities among the averages of three or more independent sets. It compares the means between the sets that is being examined whether any of those means are statistically pointedly dissimilar from each other. If it does have a significant result, then the alternative hypothesis can be accepted and that would mean that two sets are pointedly different from each other. The sum of squares within for this ANOVA​ procedure is 680. The answer is letter D.

The probability of spinning 2 then 4: [tex]\( \frac{1}{10} \times \frac{1}{10} = \frac{1}{100} \).[/tex]

To find the probability that the first spin results in a 2 and the second spin results in a 4, we need to determine the probability of each event and then multiply them together because the spins are independent.

1. Probability of spinning a 2 on the first spin:

  Since there is 1 section labeled '2' out of 10 sections in total, the probability of spinning a 2 on the first spin is [tex]\( \frac{1}{10} \)[/tex].

2. Probability of spinning a 4 on the second spin:

  Similarly, there is 1 section labeled '4' out of 10 sections in total, so the probability of spinning a 4 on the second spin is also [tex]\( \frac{1}{10} \)[/tex].

Now, to find the probability of both events happening (the first spin resulting in a 2 and the second spin resulting in a 4), we multiply the probabilities of each event:

[tex]\[ P(\text{first spin = 2}) \times P(\text{second spin = 4}) \][/tex]

[tex]\[ = \frac{1}{10} \times \frac{1}{10} \][/tex]

[tex]\[ = \frac{1}{100} \][/tex]

So, the probability that the first spin results in a 2 and the second spin results in a 4 is [tex]\( \frac{1}{100} \)[/tex].

Final answer:

The point estimate of the true proportion of all lightbulbs that last more than 500 hours is approximately 0.634, calculated using the sample data of 291 out of 459 lightbulbs lasting more than 500 hours.

Explanation:

To find a point estimate of the true proportion of all lightbulbs that last more than 500 hours, we use the sample data provided. Out of 459 randomly selected lightbulbs, 291 lasted more than 500 hours.

The point estimate is calculated by dividing the number of successes in the sample by the total number of trials. In this case, the point estimate (p-hat) would be 291 divided by 459, which gives us an estimate of the true proportion.

The calculation would be as follows:

The point estimate for the true proportion of all lightbulbs that last more than 500 hours is approximately 0.634.

 6% = 0.06

 if you want to know the total price including the tax

 multiply 15.89 x 1.06 = 16.84

If compact discs cost $15.89 each. Then the cost of each disc after 6% sales tax will be $ 16.84.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

If compact discs cost $15.89 each.

Then the cost of each disc after 6% sales tax will be

→ 1.06 × $ 15.89

→ $ 16.84

If compact discs cost $15.89 each. Then the cost of each disc after 6% sales tax will be $ 16.84.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:  Ted’s initial charge is $40, and his hourly charge is $30.

Step-by-step explanation:

We know that the general equation of a line in intercept form is given by :-

[tex]y=mx+c[/tex], where m is the slope of the line and c represents the y-intercept of the function.

The given function :-The equation [tex]y = 30x + 40[/tex] represents the line of best fit showing Ted’s earnings in terms of the number of hours he works as a plumber.

Here, Slope =30

The y-intercept = 40

If x is the number of hours he works and y is Ted’s earnings.

Then by comparing the general equation of line in intercept form,  the initial amount charged by Ted =y-intercept = $ 40

His hourly charge = Slope = $ 30

To evaluate the solid e which lies between two cylinders and a plane, one would typically set up a triple integral in cylindrical coordinates. This involves translating the given boundaries from rectangular coordinates into cylindrical coordinates to account for the radial, angular, and vertical dimensions of the solid.

This question pertains to the evaluation of a solid, denoted as e, that is located between the two cylinders x^2 + y^2 = 1 and x^2 + y^2 = 16. These cylinders are located above the xy-plane and below the plane z = y + 4. The evaluation of such a solid requires the application of integral calculus. Typically, in such cases we would set up a triple integral by converting rectangular coordinates into cylindrical coordinates (r, theta, z).

Given the specifics of the solid, the radial path r would vary between sqrt(1) and sqrt(16), which is between 1 and 4. The angular path theta would cover the full circle, thus varying between 0 and 2π. The z-coordinate would be bounded below by the xy-plane (0) and above by the plane z = y + 4.  Please note that you would need to convert the z-boundary into cylindrical coordinates as well.

https://brainly.com/question/34165697

#SPJ11

Answer:

The correct answer is 0.123 cm.

Step-by-step explanation:

Each kilometer has 1000 meters and each meter has 100 centimeters.

Hence each kilometer has 1000×100=100000=105 centimeters.

Therefore, 1.23×10−6 kilometer will have

1.23×10−6×105=1.23×10−6+5=1.23×10−1 or 0.123 centimeters