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Answer:

5x + y + 8 = 0

Step-by-step explanation:

Answer:

18.75

Step-by-step explanation:

18.75

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

Answer:

Hence, the p-value ( 0.699986) > 0.05,  FAIL TO REJECT THE NULL HYPOTHESIS

there is no significant evidence that starting position is a factor in horse races

Step-by-step explanation:

Given the data in the question;

Starting position:     1     2     3     4     5     6

# of Winners:         25   22   18   19    21   15

Mean x" (E) = (25+22+18+19+21+15)/6 = 120/6 = 20

Observed/Expected value table;

O       E            ((O-E)²) / E

25    20            1.25

22    20            0.2

18     20            0.2

19     20           0.05

21     20           0.05

15     20           1.25

∑                         3

so using chi square = ∑(((O-E)²) / E) = 3

DF = n-1 = 6-1 = 5

then, the critical chi square value is;

significance level = 0.05

chi square( critical ) = 11.07049769

from table;

p - value = 0.699986

Hence, the p-value ( 0.699986) > 0.05,  FAIL TO REJECT THE NULL HYPOTHESIS

there is no significant evidence that starting position is a factor in horse races

Answer:

Step-by-step explanation:

The figure drawn is attached.

This is a quadrilateral.

Clara did it correctly and named properly.

Correct option is A.

Answer:

a. u welcome

9

Step-by-step explanation:

Answer:

B. {x| -3 < x ≤ 2}

Step-by-step explanation:

The unshaded "O" on "-3" implies that -3 is not included. Which means -3 < x or x > -3.

The shaded "O" on "2" implies that 2 is included, therefore, x is either equal to 2 or less than 2 (x ≤ 2) since the line is towards our left side. This, we would have:

{x| -3 < x ≤ 2}

Answer:

Place one dot at (0,-2) and another point at (-1,-1) then draw a line through it. Then place a dot at (0,3) and (1,0) And draw a line through those two points. Wherever those two lines intercept will be your answer.

Step-by-step explanation:

Answer:

I think d. Sorry if I am wrong.

Step-by-step explanation:

Answer: a. Yes

              b. mean = 76.65

                  standard deviation = 10.04

              c. 76.65 ± 4.4

Step-by-step explanation:

a. Stem and leaf Plot shows the frequencies with which classes of value occur. To create this plot, we divide the set of numbers into 2 columns: stem, the left column, which contains the tens digits; leaf, the right column, which contains the unit digits.

Normal distribution is a type of distribution: it's a bell-shaped, symmetrical, unimodal distribution.

A stem and leaf plot displays the main features of the distribution. If turned on its side, we can see the shape of the data.

The figure below shows the stem and leaf plot of the 100-point test score. As we can see, when turned, the plot resembles bell-shaped distribution. So, this test scores were selected from a normal population.

b. Mean is the average number of a data set. It is calculated as the sum of all the data divided by the quantity the sample has:

mean = [tex]\frac{\Sigma x}{n}[/tex]

For the 100-point test score:

mean = [tex]\frac{71+93+91+...+65+75+84}{20}[/tex]

mean = 76.65

Standard Deviation determines how much the data is dispersed from the mean. It is calculated as:

[tex]s=\sqrt{\frac{\Sigma (x-mean)^{2}}{n-1} }[/tex]

For the 100-point test score:

[tex]s=\sqrt{\frac{[(71-76.65)+(93-76.65)+...+(84-76.65)]^{2}}{20-1} }[/tex]

s = 10.04

The mean and standard deviation of the scores are 76.65 and 10.04, respectively.

c. Confidence Interval is a range of values we are confident the real mean lies.

The calculations for the confidence interval is

mean ± [tex]z\frac{s}{\sqrt{n} }[/tex]

where

z is the z-score for the 95% confidence interval, which is equal 1.96

Calculating interval

76.65 ± [tex]1.96.\frac{10.04}{\sqrt{20} }[/tex]

76.65 ± 4.4

The 95% confidence interval for the average test score in the population of students is between 72.25 and 81.05.

Answer:

A. 7%

Step-by-step explanation:

Given the following data;

Principal, P = $2,000

Time, T = 2 years

Simple Interest, I = $280

To find the simple interest rate, R?

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

Substituting into the equation, we have;

[tex] 280 = \frac {2000*R*2}{100} [/tex]

Cross-multiplying, we have;

[tex] 280 * 100 = 4000*R[/tex]

[tex] 28000 = 4000R [/tex]

[tex] R = \frac {28000}{4000} [/tex]

Simple interest rate, R = 7%

Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

Answer:

300 sqft

Step-by-step explanation:

30 times ten is 300 and the measure is feet squared

Answer:

9000 ft 3

Step-by-step explanation:

Answer:

i have attached an image of the graph of y = log(-x)

Answer:

13.225 m

Step-by-step explanation:

Given that :

Initial Velocity, u = 4.9m/s

Acceleration due to gravity, a = - 9.8 m/s² (downward)

Distance, S = - 12

According to the motion equation :

S = ut + 0.5at²

S = 4.9t + 0.5(-9.8)t²

S = 4.9t - 4.9t² - - - (1)

At the highest point, v = 0

v² = u + at

0 = 4.9 + - 9.8t

-9.8t = - 4.9

t = 4.9/9.8

t = 0.5s

Put t = 0.5 in (1) above

S = 4.9(0.5) - 4.9(0.5)²

S = 2.45 - 1.225

S = 1.225 m

Total height :

(12 + 1.225) m = 13.225 m

Answer:

3.75

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{6}{x} = \frac{8}{5} \\ \\ x = \frac{6 \times 5}{8} \\ \\ x = \frac{30}{8} \\ \\ x = 3.75[/tex]

Answer:

the answer is the 3rd one

Step-by-step explanation:

Answer:

y = 4x+4

Step-by-step explanation:

Using the coordinate point (1, 8) and (2, 12) from the table

Slope m = 12-8/2-1

m = 4/1

m = 4

Get the intercept

Substitute m = 4 and (1, 8) into y = mx+c

8 = 4(1) + c

8 - 4 = c

c = 4

Get the required equation

y = 4x + 4

Hence the required linear equation is y = 4x+4

Answer:

ask the qustion better plz

Step-by-step explanation:

i don't know sorry

Answer:

30 weeks

Step-by-step explanation:

Step-by-step explanation:

1 week -500

2 week -1kg

105-90

15

15 .2

30

there fore its take 30weeks to reduce his weight to 90kg

Answer:

54

Step-by-step explanation:

Number of people in the meeting= 18

Out of this number 1/3 are from the club

Therefore the total number of club members can be calculated as follows

= 1/3 × x= 18

x = 18 × 3

= 54

Hence the number of people in the club is 54

Answer:

2

Step-by-step explanation:

( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )

= 30/( 6 ) - ( 21 - 18 )

= 30/( 6 ) - 3

[tex]=\frac{30}{6} -3[/tex]

= 2

Answer:

[tex]27[/tex]

Step-by-step explanation:

1) Simplify 14 × 3 to 42.

[tex]282 - 42 \times 6 - (21 - 18)[/tex]

2) Simplify 21 - 18 to 3.

[tex]282 - 42 \times 6 - 3[/tex]

3)Simplify 42 × 6 to 252.

[tex]282 - 252 - 3[/tex]

4) Simplify 282 - 252 to 30.

[tex]30 - 3[/tex]

5) Simplify.

[tex]27[/tex]

Therefor, the answer is 27.

Answer:

B

Step-by-step explanation:

Answer:

16in

Step-by-step explanation:

Most tiles a quadrilaterals meaning they have four sides, if it is 6in by 2 in, that means tou multiply both by two since there are two of each side length.

6 times 2 is 12

2 times 2 is 4

4 + 12= 16

Answer:

16 in

Step-by-step explanation:

Answer:

350?

Step-by-step explanation:

Answer:

Use dimensional analysis to answer each of the following questions. To find the distance light travels in a year for part a, convert sec to yr by using unit ratios with min, hr, and days in their denominators. Thus, a light year is approximately 5,874,589,152,000 mi

The number of miles that the light covers in a light year will be 5.89 × 10¹² miles.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

At 186282 miles per second.

We know that in one light year, the number of seconds will be 31.536 × 10⁶.

Then the distance is given as,

186282 = d / (31.536 × 10⁶)

d = 31.536 × 10⁶ × 186282

d = 5.89 × 10¹² miles

The number of miles that the light covers in a light year will be 5.89 × 10¹² miles.

More about the speed link is given below.

https://brainly.com/question/7359669

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