The probability of picking a red marble from a bag is 38. If Sarah picks a marble from the bag 64 times (replacing the marble with each draw), how many times should she expect it to pick a red marble?

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:

Yes, if you didn't eat all 5 of your pizzas young man.

Step-by-step explanation:

[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]

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

9514 1404 393

Answer:

  (a)  4/3

  (b)  y -3 = 4/3(x -1)

  (c)  y -3 = -3/4(x -1)

  (d)  r = 5

Step-by-step explanation:

a) The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -3)/(4 -1) = 4/3

__

b) The radius is normal to the circle. The point-slope form of the equation for a line can be useful here:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For slope 4/3, the line through point (1, 3) will have the equation ...

  y -3 = 4/3(x -1) . . . . point-slope equation of the normal

__

c) The tangent is perpendicular to the radius. It will have a slope that is the opposite reciprocal of the slope of the radius: -1/(4/3) = -3/4.

  y -3 = -3/4(x -1) . . . . point-slope equation of the tangent

__

d) The radius can be found from the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -1)² +(7 -3)²) = √(3² +4²) = √25 = 5

The radius of the circle is 5.

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:

Katrina got 86 in her test

Step-by-step explanation:

given

mean = 80

standard deviation = 3

z-score = 2

Let score of Katrina = x

Recall z-score is calculated by

z-score = (x-mean) / standard deviation

substitute values and solve for x

2 = (x-80)/3

x-80=6

x = 86

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:

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:

its a

Step-by-step explanation:

Answer:

C. y = -1/3 + 1

Step-by-step explanation:

Parallel equations have the same slope.

Answer:

Step-by-step explanation:

2x-x = x

x+4x = 5x

5x is the answer

Answer:

5x

Step-by-step explanation:

2x - x + 4x =

x + 4x =

5x

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

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:

Improper:

76/5

Take it to the power of 5.

2373046875/25

Answer:

Step-by-step explanation:

Answer:

Sets B and C are subsets of set A

[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:

C. $888.00

Step-by-step explanation:

Substitute in given values in I = Prt to find answer.

Answer:

option D

Step-by-step explanation:

Exterior angle = sum of interior

               105 = 50 + x

               105 - 50 = x

                      55° = x

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.

Find the equation of the quadratic function determined from the graph above.

The vertex of the graph of the quadratic function is (2, -3). The graph passes through the point (5, 0). By replacing x and y with 5 and 0, respectively, and h and k with 2 and -3, respectively we have,

[tex]\sf\rightarrow{y=a(x-h)²+k}[/tex]

[tex]\sf\rightarrow{O=a(5-2)²-3}[/tex]

[tex]\sf\rightarrow{0=a(3)²-3}[/tex]

[tex]\sf\rightarrow{3=9a}[/tex]

[tex]\sf\rightarrow{a=\frac{1}{3}}[/tex]

[tex]\sf\rightarrow{y=\frac{1}{3}(x-2)²-3}[/tex]

or,

[tex]\sf{y=\frac{1}{3} \: x²-\frac{4}{3} \: x-\frac{5}{3}}[/tex]

#Hope it helps!

(ノ^_^)ノ

Answer:

y = (x-2)²/3 - 3

Step-by-step explanation:

the vertex is at (2,-3), so the vertex form of the function is

y = A(x-2)²-3

where A is a constant to be found.

We see that when x=5, y=0, so substitute values to find A.

0 = A(5-2)² - 3

solve for A to get

A(3²) = 3

A = 1/3

So the equation is

y = (x-2)²/3 - 3

Check for x = -1

y = (-1-2)²/3 - 3 = 0 checks

Answer:

16 ft³

Step-by-step explanation:

Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height

Volume

[tex] = \frac{1}{3} \times (4 \times 3) \times 4[/tex]

[tex] = \frac{1}{3} \times 12 \times 4[/tex]

= 16 ft³

Answer:

13.1 cm

Step-by-step explanation:

5+5=10

1/2x2π1=3.14

10+3.14=13.14