find a. round to the nearest tenth. a=? cm

Answer:

[tex]5 {a}^{2} b + 15a {b}^{2} = [/tex]

[tex]5ab(a + 3b)[/tex]

The probability of drawing a green block followed by a yellow block with replacement is 0.03, or 3%.

The probability of an event is calculated by dividing the total number of possible outcomes by the number of possible outcomes.

The likelihood of drawing a green block on the main draw is:

P(green) = (number of green blocks) / (total number of blocks)

P(green) = 4 / (4 + 6 + 7 + 3)

P(green) = 4 / 20

P(green) = 0.2

Since the blocks are replaced after each draw, the probability of drawing a yellow block on the second draw is still:

P(yellow) = (number of yellow blocks) / (total number of blocks)

P(yellow) = 3 / (4 + 6 + 7 + 3)

P(yellow) = 3 / 20

P(yellow) = 0.15

To find the probability of both events happening, we multiply the probabilities:

P(green, then yellow) = P(green) * P(yellow)

P(green, then yellow) = 0.2 * 0.15

P(green, then yellow) = 0.03

As a result, replacing a yellow block with a green one has a chance of 0.03, or 3%, being drawn.

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Answer:

45%

Step-by-step explanation:

72/160 = 0.45

0.45 x 100 = 45%

Maxwell's filing status can be described as: b. Married filing jointly.

A filing status is a category that defines your tax-filing status based on your marital status and family situation. The filing status determines tax rate and standard deduction, as well as the eligibility for certain credits, deductions, and exemptions.

Maxwell can be described as married filing jointly because he and his spouse combined their income, deductions, and credits on one tax return. This status generally results in lower tax rates and a larger standard deduction compared to filing separately.

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The calculated measure of the arc XYZ is 83 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

The angles created by secants and tangents that intersect outside a circle, which states that

The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.

So, we have

XYY = 1/2 * (166 - 0)

Evaluate

XYY = 83

Hence, the measure of the angle is 83 degrees

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The maximum FUTA deductions for the first quarter is $1092.Because none of the given options correspond to this result, the correct answer is not listed.

The Federal Unemployment Tax Act (FUTA) tax rate is 6% on the first $7,000 paid to each employee in a calendar year. Therefore, the maximum FUTA deduction for each employee is $420 ($7,000 x 0.06).

Person 1 earned $4700, so the FUTA deduction for Person 1 is $282 ($4700 x 0.06).

Person 2 earned $19,800, but only the first $7,000 is subject to FUTA. Therefore, the FUTA deduction for Person 2 is $420.

Person 3 earned $6500, so the FUTA deduction for Person 3 is $390 ($6500 x 0.06).

The total FUTA deduction for the first quarter is the sum of the FUTA deductions for each employee:

$282 + $420 + $390 = $1092

Therefore, the maximum FUTA deductions for the first quarter is $1092.Because none of the given options correspond to this result, the correct answer is not listed.

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Therefore, P(z > 0.97) = 0.166 using standard normal distribution table.

A standard normal distribution table, also called a z-score table or a standard normal table, is a table that provides the area under the curve to the left of a specific z-score value in a standard normal distribution. A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

The table usually includes positive z-score values in the right-hand column and the second decimal place in the top row. The intersection of a specific z-score value and decimal place provides the area under the curve to the left of that z-score value.

For example, if we want to find the area under the curve to the left of a z-score value of 1.32, we would locate the row with 1.3 in the top row and the column with 0.02 in the right-hand column. The intersection of this row and column gives the area under the curve to the left of 1.32, which is 0.9066.

Using a standard normal distribution table or calculator, we can find the probability of z being greater than 0.97 is approximately 0.166. Therefore, P(z > 0.97) = 0.166.

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Asnwer: 30 minutes

Explanation:

10 laps in 20 minutes is 1 lap every 2 minutes.

So we get this:

1 lap = 2 minutes

But we want 15 laps, so multiply both sides by 15 to get:

15 laps = 30 minutes

Step-by-step explanation:

Use a modified Pythagorean theorem for 3 -D

diagonal = sqrt ( 9^2 + 12^2 + 8^2 ) = sqrt(289) = 17  units

It would take approximately 7.5 years (or 7 years and 6 months) for the value of the account to reach $1,540, assuming the money grows at a rate allowing it to double every 10 years.

To solve this problem, we can use the formula for exponential growth:

[tex]A = P * (1 + r)^t[/tex]

where:

A = final amount (in this case, $1,540)

P = principal amount (initial investment, in this case, $840)

r = rate of growth (as a decimal, in this case, the rate at which the money doubles every 10 years, or 1/10 = 0.1)

t = time (in years, which we need to find)

Plugging in the values:

[tex]1,540 = 840 * (1 + 0.1)^t[/tex]

Dividing both sides of the equation by 840:

[tex]1.83333... = (1.1)^tTaking the natural logarithm of both sides:ln(1.83333...) = ln((1.1)^t)Using the property of logarithms that ln(a^b) = b * ln(a), we get:ln(1.83333...) = t * ln(1.1)Finally, dividing both sides by ln(1.1) to solve for t:t = ln(1.83333...) / ln(1.1)[/tex]

Using a calculator, we can find that t ≈ 7.5 (rounded to the nearest tenth of a year).

So, it would take approximately 7.5 years (or 7 years and 6 months) for the value of the account to reach $1,540, assuming the money grows at a rate allowing it to double every 10 years.

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Answer:

  11

Step-by-step explanation:

You want the degree of the monomial -3q⁴rs⁶.

The degree of a variable expression is its exponent. The degrees of the variables in the given expression are ...

  q: 4

  r: 1

  s: 6

The degree of their product is the sum of the exponents:

  monomial degree = 4 + 1 + 6 = 11

The degree is 11.

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Therefore, The dilated image's vertices are as follows:B'(2 , 3)   C'(3 , 3)     D'(1 , 3)

It is not necessary for the dilation's center to be inside the form. It might be the polygon's vertices. The preimage is still a square in this case, but the center of the dilatation is at the top-left vertex, which is shared by both of the dilated pictures (one smaller and one larger).

To get the vertices of the dilated image, multiply each vertex's coordinate by a factor of three.

B(6,9)⇒B'(1/3×6,1/3×9) = B'(2 , 3)

C(9,9)⇒C'(1/3×9 , 1/3×9) = C'(3 , 3)

D(3,9)⇒D'(1/3×3 ,1/3×9) = D'(1 , 3)

The dilated image's vertices are as follows:

B'(2 , 3)   C'(3 , 3)     D'(1 , 3)

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Answer:

y= -1/5x-5

Step-by-step explanation:

You can use the slope formula and the slope intercept form which is y=mx+b.

The attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Here, we have

Given:

Seating capacity = 257

Charges: Children = $5.00; Students = $7.00; Adults = $12.00

Total sales of ticket = $1870

A number of children, students, and adults were present in the theatre.

Let A, C, and S represent adults, children, and students respectively.

There are half as many adults as there are children; this means that

A = ½C

If the total seat capacity is 257, then

A + C + S = 257

Also, if the total sales of tickets are $1870, then

12A + 7S + 5C = 1870

So, we have two equations to be solved simultaneously.

A + C + S = 257 --- (1)

12A + 7S + 5C = 1860 --- (2)

Substitute ½C for A in (1) and (2)

½C + C + S = 257

Multiply both sides by 2

2(½C + C + S) = 2 * 257

C + 2C + 2S = 514

3C + 2S = 514 ----- (3)

12(½C) + 7S + 5C = 1870

6C + 7S + 5C ,= 1870

6C + 5C + 7S = 1870

11C + 7S = 1870 --- (4)

Make S the subject of the formula in (3)

2S = 514 - 3C

S = ½(514 - 3C)

S = 257 - 1.5C

Substituton 257 - 1.5C for S in (4)

11C + 7(257- 1.5C) = 1870

11C + 1799 - 10.5C = 1870

Collect like terms

11C - 10.5C = 1870 - 1799

0.5C = 71

Multiply both sides by 2

2 * 0.5C = 2 * 71

C = 142

Recall that

S = 257 - 1.5C

S = 257 - 1.5(142)

S = 257 - 213

S = 44

Also, recall that

A = ½C

A = ½ * 142

A = 71

Hence, the attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

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The rewritten expression of y = x + 8/3x using the distributive property is y = x(1 + 8/3)

From the question, we have the following parameters that can be used in our computation:

Y can represent the distance Frog B hopped as y=x+ 8/3 x.

This means that

y = x + 8/3x

Factor out x from the equation

So, we have

y = x(1 + 8/3)

The above equation has been rewritten using the distributive property.

Hence, the rewritten expression using the distributive property is y = x(1 + 8/3)

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Answer: The California state sales tax rate is 7.25%. This rate is made up of a base rate of 6%, plus California adds a mandatory local rate of 1.25% that goes directly to city and county tax officials.

Step-by-step explanation:

Hope this helped! :)

Answer: B. 12

Step-by-step explanation:

1) Alan can make 2.5 cookies per min

2) Abi can make 8/3 which is 2.7.

3) overall, 5.2 cookies per minute can be made.

multiple 5.2 x 6 and you get around 31.5?

then subtract =1. you have 30.5, now add onto that number 31.5, which is another 6 minutes. since you're still only subtracting 1, the answer would be above 60, which is 5 dozen, and it only took 12 mins

Answer:

$23.30

Step-by-step explanation:

We Know

You paid $6.99

The shirt was 70% off

$6.99 = 30%

What was the original price of the shirt?

We Take

(6.99 ÷ 30) x 100 = $23.30

So, the original price is $23.30