Find the missing angle to the nearest degree.
19
32
degrees

[tex]3(4 - 2x) = - 2x[/tex]

[tex]12 - 6x = - 2x[/tex]

[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]

[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]

The equation is true when x = 3. Therefore the answer is D. 3

[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Answer:

2.57 yards longer

Step-by-step explanation:

Step one:

given data

We are told that the Jiaozhou Bay Bridge in China, spans 26.4 miles

Also, The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards

Required

Unit conversion from yards to miles

Step two:

let us convert 41,940 yards to miles

We know that 1 yard is 0.000568182 miles

hence 41,940 yards is x miles

cross multiply we have

x= 41,940*0.000568182

x=23.83 yards

Hence the difference in their lengths is

=26.4-23.83

=2.57 yards

Answer:

4:36

24 x 4:36

96:36

8:4

1day = 24 hours

Step-by-step explanation:

Answer:

[tex] \frac{ - 9}{19} [/tex]

Step-by-step explanation:

[tex] \frac{15 - 24}{3 \times 2 + 13 } = \frac{ - 9}{19} [/tex]

Answer:

Step-by-step explanation:

132 is what percent of 880? = 15.

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

the answer is 162

(to add more letters)

Answer:

17 horses and 19 geese

Step-by-step explanation:

Let x be the number of horses and y be the number of geese

We know that, horses have four feet and geese have 2 feet

It is given that

x+y=36 (i)

and

4x+2y=106 (ii)

Solve the two equations simultaneously by substitution,

From equation (i)

y=36-x (iii)

Substitute y with 36-x in equation (ii)

4x+2(36-x)=106

4x+72-2x=106

4x-2x=106-72

2x=34

x=17

Then

Substitute x=17 to equation (iii)

y=36-17=19

x=17, y=19

We therefore have 17 horses and 19 geese

Answer:

6

Step-by-step explanation:

Answer:

m∠5=34°

Step-by-step explanation:

angle 1 is a corresponding angle to angle 5 therefore they are congruent

Answer:

0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Math homework:

[tex]\mu_M = 30, \sigma_M = 3[/tex]

Arts homework:

[tex]\mu_A = 40, \sigma_A = 4[/tex]

What is the probability that the average time it takes to complete both homework assignments is greater than 82 minutes?

Here, we have a sum of normal variables. The mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances. So

[tex]\mu = \mu_M + \mu_A = 30 + 40 = 70[/tex]

[tex]\sigma = \sqrt{\sigma_M^2 + \sigma_A^2} = \sqrt{3^2+4^2} = 5[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 82. So

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

[tex]Z = \frac{82 - 70}{5}[/tex]

[tex]Z = 2.4[/tex]

[tex]Z = 2.4[/tex] has a pvalue of 0.9918

1 - 0.9918 = 0.0082

0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes

Answer:

I got -9x^3-10x^2+10x-2

Step-by-step explanation:

Answer:

A probability of 0.254 should replace the "?" in the table

Step-by-step explanation:

We have the probabilities for the time of the day when each person begins a trip, during a 24-hour period.

The sum of these probabilities has to be 100% = 1.

The probabilities are of: 0.004, 0.033, 0.144, 0.234, 0.208, ?, 0.123

Since their sum has to be 1, we can find ?. So

0.004 + 0.033 + 0.144 + 0.234 + 0.208 + ? + 0.123 = 1

0.746 + ? = 1

? = 1 - 0.746

? = 0.254

A probability of 0.254 should replace the "?" in the table

Answer:

252 in²

Step-by-step explanation:

Just separate them into different shapes and add their areas together.

Answer:

252 Inches

Step-by-step explanation:

We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.

Answer

17

its a division sign for : so 24-24 divided by 3 + 1

Answer:

Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2

=0.823

Step-by-step explanation:

Multinomial distribution

p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)  

The rat chooses of the three exists at random:

p = 1/3

p(3,2,1) = 6! / 3! 1!  2! (1/3)^3 (1/3)^1 (1/3)^2

              =20/243

              =0.823

Answer:

Step-by-step explanation:

exponential decay

rate of change: 20%

9514 1404 393

Answer:

  24-oz jar is lower cost per ounce

Step-by-step explanation:

The 16-ounce jar is almost $2.60. The 24-ounce jar contains half again as much peanut butter (16 +1/2·16 = 24). So, if the 24-ounce jar were the same price, it would cost half-again as much:

  $2.60 +(1/2)2.60 = $2.60 +1.30 = $3.90.

The 24-ounce jar is priced considerably below that amount, so the 24-ounce jar has a lower price per ounce.

__

You could also view the 16-ounce jar as 2/3 the quantity of the 24-ounce jar. If it were the same price, that price would be about (2/3)$3.30 = $2.20. The 16-ounce jar is somewhat more than that, so costs more per ounce.

_____

Additional comment

For the estimates we did here, we needed prices that were divisible by 2 or 3. That involved adding a penny to the given price. So, the estimated equivalent price is off by a penny or so--not an issue in this case.

Note that we didn't actually need to find the per-ounce prices. We only needed to find the price for an equivalent number of ounces, which is much easier mental arithmetic.

Answer and explanation:

Given that there is 45% off original price of outdoor furniture and price is represented by p

Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p

Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p

Answer:

0.8401 = 84.01% probability that there is at least one business passenger.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

Samples of 5, so [tex]n = 5[/tex]

90 passengers, so [tex]N = 90[/tex]

27 traveling on businnes, so [tex]k = 27[/tex]

Probability that there is at least one business passenger.

Either none are on business, or at least one is. The sum of these probabilities is 100% = 1.

Probability of none on business:

[tex]P(X = 0) = \frac{C_{27,0}*C_{63,5}}{C_{90,5}} = 0.1599[/tex]

Probability of at least one business passenger:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1599 = 0.8401[/tex]

0.8401 = 84.01% probability that there is at least one business passenger.

Answer:

D.63 leaves

Step-by-step explanation:

Divide the given number of leaves by the time it took that many to fall

190/3=63.33 which rounds down to 63

Question #2

21 Miles per gallon

Divide the number of gallons by the amount of gas to get miles per gallon.

252/12=21 miles per gallon

Answer:

C. 7(x + 2) - 3x = 2/3 (6x + 3)

Step-by-step explanation:

ANSWER FROM PLATO

When solving an equation, if the variable terms cancel out leaving different numbers on each side of the equal sign, then the equation has no solution.

Consider the following equation:

7(x + 2) - 3x = 2/3 (6x + 3)

   7x + 14 - 3x = 4x + 2

     4x + 14 = 4x + 2

             14 = 2

Therefore, the equation  has no solution.

Step-by-step explanation:

5/6b=17/8

Cross multiple

40=102b

divide through by 102

b=20/51

Answer:

4√3 or Decimal form 6.928203

Step-by-step explanation:

ofc i know the answer, ima different breed

Answer:

0.254

Step-by-step explanation:

Given that:

Percentage of those having health insurance = 71%

p = 71 / 100 = 0.71

Number of adults selected at random, n = 4

Probability that 4 selected have health insurance :

p^n = 0.71^4 = 0.25411681

= 0.254

Answer:

y=2x-4

Step-by-step explanation:

gdgdvdjsksevsg

Answer:

x=-6.8

[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]