a circle has a diameter of 100 cm. which of these is closest to its area? show or explain your reasoning.
314 cm
7,854 cm
15,708 cm
31,400 cm

Answer:

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

7:21

1:3

so , 7:21 is 1:3.

[tex]\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = \frac{2}{7}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Let [tex]x[/tex] be the unknown number.

As per the question, we have

[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]

➺[tex] \: \frac{6}{35} - x = \frac{ - 4}{35} [/tex]

➺[tex] \: - x = \frac{ - 4}{35} - \frac{6}{35} [/tex]

➺[tex] \: - x = \frac{ - 4 - 6}{35} [/tex]

➺[tex] \: - x = \frac{ - 10}{35} [/tex]

➺[tex] \: x = \frac{2}{7} [/tex]

Therefore, [tex] \frac{2}{7} [/tex] should be subtracted from the product of [tex] \frac{3}{7} [/tex] and [tex] \frac{2}{5} [/tex] to get [tex]\frac{ - 4}{35} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify}}{\orange{:}}}}}[/tex]

[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]

➼[tex] \: ( \frac{6}{35} ) - \frac{2}{7} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{6}{35} - \frac{2 \times 5}{7 \times 5} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{6 - 10}{35} = \frac{ - 4}{35} [/tex]

➼[tex] \: \frac{ - 4}{35} = \frac{ - 4}{35} [/tex]

➼[tex] \: L.H.S.=R. H. S[/tex]

[tex]\sf\purple{Hence\:verified. }[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]

The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.

The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.

The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter d has circumference πd ; a half-circle with the same diameter would then contirubte πd/2, or in this case, 3π m.

So, the total perimeter of the shape is

(4 m + 2√13 m) + 18 m + 3π m ≈ 38.6 m

Answer:

90 years

Step-by-step explanation:

Equation =

200 - 2x = 20

2x = 200 - 20

2x = 180

x = 180 / 2

x = 90

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-6 + k}[/tex]

[tex]\large\textsf{If k = 18, then substitute it into the equation where k is at}[/tex]

[tex]\large\textsf{-6 + 18}[/tex]

[tex]= \boxed{\large\textsf{\bf 12}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 12 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Guide}\downarrow[/tex]

[tex]\large\textsf{Negative \& negative = \boxed{\bf positive}}[/tex]

[tex]\large\textsf{Negative \& positive = \boxed{\bf negative}}[/tex]

[tex]\large\textsf{Positive \& positive = \boxed{\bf positive}}[/tex]

[tex]\large\textsf{Positive \& negative = \boxed{\bf negative}}[/tex]

[tex]\large\textsf{SOME values results in the bigger number}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

82.5.

Step-by-step explanation:

That would be the average if you scored 100 on your last test.

This is (71+78+81+100)/ 4

= 82.5

Answer:

13.1 cm

Step-by-step explanation:

5+5=10

1/2x2π1=3.14

10+3.14=13.14

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

Answer:

5/7

Step-by-step explanation:

6/7 + [-1/7]

Since the denominators are the same, add the numerators

6+-1 = 5

Put this over the common denominator

5/7

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]

[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]

[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]

♡Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

10.1

Step-by-step explanation:

weighted mean = sum of the multiplication of frequency and value /sum of frequency

sum of frequency  = 5 + 5 + 5 + 21 = 36

sum of the multiplication of frequency and value = (16 x 5) + (20 x 5) +  (16 x 5) + ( 5 x 21) = 365

365/36 = 10.1

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

pls can u tell which grade are you

Answer:

J

Step-by-step explanation:

x+1/x3-x=x+1/x2

=1/x

1/x2-x=1/x

Answer:

1) 3 roots

2) 2 roots

3) 4 roots

Answer:

first one has 3 roots

second one has 2 roots

third one has zero roots

Answer: 1.5m/s

Step-by-step explanation:

Answer:

1.5m/s

Step-by-step explanation:

distance/time= 6 meters/4 secs=1.5meters per sec

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

Parallel equations have the same slope.

Answer and Step-by-step explanation:

To find x, we need to add 9 to both sides of the equation.

x = 22  <-- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

X=22

Step-by-step explanation:

X-9=13

X=13+9

X=22

Step-by-step explanation:

Hey there!

From the given figure;

Angle ABE = 90°.

And angle ABC= [(3x+7)° + (5x+11)°].

Now, Angle ABE + Angle ABC= 180° [Being linear pair].

or, 90° + (3x+7)° + (5x+11)°= 180°

or, (3x+7)° + (5x+11)°= 90°

or, 8x + 18° =90°

or, 8x = 90°-18°

or, X = 9°

Therefore, X= 9°.

Now,

Angle DBC = (5*9+11)°

= 56°

Therefore, the measure of angle DBC is 56°.

Hope it helps!

[tex]\huge\bold{To\:find:}[/tex]

✎ The measure of ∠ DBC.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:measure\:of\:∠DBC\:is\:56°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (3x + 7)° + (5x + 11) ° = 90° \\ ⇢3x° + 7° + 5x° + 11° = 90° \\combining \: the \: like \: terms, \: we \: have \\ ⇢3x° + 5x° + 7° + 11° = 90° \\ ⇢8x° = 90° - 18° \\ ⇢8x° = 72° \\ ⇢x° = \frac{72°}{8} \\ ⇢x° = 9°[/tex]

Substituting the value of [tex]x°[/tex] in ∠ DBC, we have

[tex](5x + 11) °\\ = 5 \times 9° + 11 °\\ = 45° + 11° \\ = 56°[/tex]

[tex]\sf\blue{Therefore,\:the\:measure\:of\:∠DBC\:is\:56°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](3x + 7) ° + (5x + 11)° = 90° \\ \: ➡ \: (3 \times 9 + 7)° + (5 \times 9 + 11)° = 90° \\ ➡ \: 34° + 56° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

1/2

Step-by-step explanation:

You can try converting 1/2 to another fraction with the same denominator as 15/24. This fraction is 12/24. As you can see, 12/24 is less than 15/24.

Answer:

option A

Step-by-step explanation:

To find ratio less than the given ratio we will convert the denominator of each fraction to 24 and then compare

Given ratio is : [tex]\frac{15}{24}[/tex]

Given options

          [tex]\frac{1}{2} = \frac{1 \times 12 }{2 \times12} = \frac{12}{24}[/tex]

            [tex]\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}[/tex]

                            [tex]\frac{19}{24}[/tex]

             [tex]\frac{6}{8} = \frac{6 \times 3}{8 \times 3} =\frac{18}{24}[/tex]

Now arrange in the ascending order , just check the numerator values.

[tex]\frac{12}{24} < \frac{15}{24} < \frac{18}{24} < \frac{19}{24} < \frac{21}{24}[/tex]

Therefore

                 : [tex]\frac{12}{24} = \frac{1}{2}\ is \ the\ ratio\ less\ than\ \frac{15}{24}[/tex]

Answer:

33

Step-by-step explanation:

82%-27

1%-0.3292

100%-33(nearest whole number)

Answer:

y = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

2x - 9y = 11

x = 7

Step 2: Evaluate

Answer:

See image below:)

Step-by-step explanation:

Answer:

[tex]y=2\frac{1}{7}[/tex]

Step-by-step explanation:

(y · 7) - 4 = 11

7y - 4 = 11

7y - 4 + 4 = 11 + 4

7y = 15

7y ÷ 7 = 15 ÷ 7

[tex]y=2\frac{1}{7}[/tex]

Answer:

8/27.

Step-by-step explanation:

Given expression: [tex](2/3)^3[/tex]

To correctly simplify this expression, you must first understand the role of exponents and base numbers.

The base number is the number being multiplied.

The exponent tells the base number how many times it should be multiplied by itself.

In this case, 2/3 is the base number and 3 is the exponent.

Exponential notations will always be written like this: [tex]x^n[/tex]

[tex]x-base[/tex]

[tex]n-exponent[/tex]

Now that we know the roles of the exponent and base number, we can correctly simplify this expression.

[tex](2/3)^3[/tex]

[tex]=2/3*2/3*2/3[/tex]

[tex]=8/27[/tex]

[tex]\to \ (2/3)^3=8/27[/tex]

Therefore, the value of [tex](2/3)^3[/tex] is 8/27.

Answer:

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.

This means that [tex]\mu = 84, \sigma = 15[/tex]

Sample of 188

This means that [tex]n = 188, s = \frac{15}{\sqrt{188}}[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?

Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability is is less than 82.54.

P-value of Z when X = 82.54. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

2*0.0918 = 0.1836

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Answer:

280 DB

Step-by-step explanation:

If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.

The sound level of a jet plane is expressed according to the expression given:

β = 10log(I/I0)

Given the following parameters

β = 140dB

I0 = 10^-12 W/m²

For required Intensity "I" Substitute:-

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12

I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

learn more intensity of sound here:

brainly.com/question/9367064

#SPJ2

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

2×2=4

Answer:

4

Step-by-step explanation:

2×2=4

6÷2=3

1×2=2

8÷2=4

3×2=6

?÷2=2

answer:

?=2×2

=4

Answer:

Chisquare test

t - test

Correlation

ANOVA, F ratio.

Step-by-step explanation:

The Chisquare test is suitable for testing categorical variables with factors levels more than 3.

The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.

Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.

Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.