Perform the following mathematical operation and report the answer to the appropriate number of significant figures.

We know the least precise place value is in the 10's place.

67.4 +43 +30 + 42.10 = [?]

it's not 182.5 / 137.9 / 182 ​​

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

The parachutist's rate of fall is 132 feet per second. In turn, in 5 seconds, the parachutist will drop 660 feet.

Step-by-step explanation:

Given that a parachutist's rate during a free fall reaches 90 miles per hour, to determine what is this rate in feet per second and, at this rate, how many feet will the parachutist fall during 5 seconds of free fall, knowing that 1 mile is equal to 5280 feet, the following calculations must be performed:

90 x 5280 = 475,200

475,200 / 60/60 = X

7,920 / 60 = X

132 = X

Thus, the parachutist's rate of fall is 132 feet per second.

132 x 5 = 660

In turn, in 5 seconds, the parachutist will drop 660 feet.

Answer:

A. \(\frac{5}{13}\)

Step-by-step explanation:

Hi there!

We are given right triangle PQR, with PR=5, RQ=12, and PQ=13

We want to find the value of sin(Q)

Let's first recall that sine is \(\frac{opposite}{hypotenuse}\)

In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse

So that means that sin(Q) would be \(\frac{PR}{PQ}\)

Substituting the values of PR and PQ gives sin(Q) as \(\frac{5}{13}\), which is A

Hope this helps!

Answer:

A, .54

Step-by-step explanation:

The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.

Given

The probability distribution for the random variable X is,

X - 6 7 8 9 10

P(X) - 0.31 0.23 0.11 0.26 0.09

To find the probability of the random variable X being at least seven.

Explanation:

It is given that,

The probability distribution for the random variable X is,

X - 6 7 8 9 10

P(X) - 0.31 0.23 0.11 0.26 0.09

Then,

Hence, the probability of the random variable X being at least seven is 0.69.

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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Answer:

The second choice

40

Step-by-step explanation:

All the ratos are 10:1

20/2 = 10/1 ==> 10:1

80/8 = 10/1 ==> 10:1

120/12 =10/1 => 10:1

For a 40 serving size the ratio is
40/6 = 20/3 not equal to  10/1

Answer:

0.4459

Step-by-step explanation:

Let the random age variable, X = 4.5; mean,∪ = 4.8; standard deviation, α = 2.2

By comparing P ( 0≤ Z ≤ 4,8)

P(Z ≤ X - ∪/α) = P(Z ≤ 4.5 - 4.8/2.2) = P(Z ≤ - 0.136)

Using the table: P(0≤ Z ≤ 1) = 0.0541

P(Z > 1) = (0.5 - 0.0541) = 0.4459

∴ P(Z > 4.5) = 0.4459

The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.

The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.

repoted participation of students, x = 3547

Sample size,n = 5594

Margin of error, E = 1% = 0.01

The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594

= 0.6341

The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is

\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)

= Zα/₂√(1 - 0.6341)0.6341/5594

= 0.0064 Zα/₂

This margin of error also has to be equal to 1% or

0.0064 Zα/₂ = 0.01

=> Zα/₂ = 0.01/0.0064 ~ 1.55

The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,

P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)

= 0.9394 - 0.0606 = 0.8788 = 87.8

Thus the confidence level is 87.88%.

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Answer:

23 to 3

Step-by-step explanation:

you add 15 to the seventh graders because its fifteen more seventh graders

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The side length of the triangle is shown in the option:

As we know,

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

Using Pythagoras' theorem:

From option(D):

3, 4 and 5

(3)² + (4)² = 5²

9 + 16 = 25 (True)

Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

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In probability function, the value of b = \(\frac{\pi}{2}\).

What is Probability?

Probability is the measure of the likelihood of a given event occurring. It is usually expressed as a number between 0 and 1, where 0 indicates an impossibility of the event occurring and 1 indicates a certainty that the event will occur. Probability theory is an important part of mathematics, and is used in a variety of applications, from predicting weather patterns to assessing the risk of a financial investment.

For f(x) to be a probability density function, the total area under the graph of the function should be equal to 1. This implies that the integral of f(x) from 1 to 3 should be equal to 1. This gives us the equation

\(\int1^3 (x^2 - b) dx = 1\)

Solving the integral, we get b = 4.

For h(x) to be a probability density function, the total area under the graph of the function should be equal to 1. This implies that the integral of h(x) from -b to b should be equal to 1. This gives us the equation

\(\int-b^b cos x dx = 1\)

Solving the integral, we get b = \(\frac{\pi}{2}\).

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Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

For least amount of fencing, length and width of rectangular area should be 14 feet and 7 feet respectively.

Let us consider length and width are l and w respectively.

Area of rectangular region = l x w

l x w = 98

w = 98/l

Since, no fencing needed along the river.

So, perimeter of rectangular region, P = 2w + l

Substituting the value of w in above expression.

We get,    

P = 2(98/l) + l

= 196 /l + l

For least amount of fencing, perimeter should be minimum

Differentiate perimeter expression with respect to length l.

dP/dl = -196/l^2 +1 =0

l^2 = 196

l= sqrt(196)

l= 14 feet

so, w= 98/14

w = 7

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Answer:

Step-by-step explanation:

Remark

If you drive 400 miles a month, and you get 19 miles per gallon, then you will need

gallons = miles / miles per gallon

Givens

m = 400

mpg = 19

Cost per gallon = 1.21

Solution

gallons = 400 / 19 = 21.05

You need to buy 21.05 gallons

1 gallon costs 1.21

21.05 gallons cost x            Cross multiply

x = 1.21 * 21.05

Answer: x = 25.47              Cost for 1 month's fuel.

Answer:

A

Step-by-step explanation:

The SSS is the side-side-side way to prove the triangles are congruent, so each side needs to have a match between triangle 1 and triangle 2. Since AC and BC are congruent to sides, that leaves AC. Hope this helps :)

To prove that both triangles are congruent, the additional information needed is: A. AB ≅ PQ.

Two triangles with three pairs of corresponding congruent sides can be proven to be congruent to each other based on the SSS congruence theorem.

We are already given that two pairs of corresponding sides of the two triangles are congruent. To prove that triangles ABC and PQR are congruent by SSS, the additional information needed is: A. AB ≅ PQ.

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Answer: 441

Step-by-step explanation:

\(7*(6+2)^2-3^2\)

\(7*8^2-3^2\)

\(7*64-9\)

\(448-9\)

441

Answer:

2x−3=x

Move all terms containing x

to the left side of the equation.

Subtract x

from both sides of the equation.

2x−3−x=0

Subtract x

from 2x

x−3=0

Add 3

to both sides of the equation.

x=3

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

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Answer:

h(10) = -25

Step-by-step explanation:

h(x) = -3x + 5

h(10) = -3(10) + 5

        = -30 + 5

        = -25

I hope this helps!

Answer:

step 10 5 to the 10th power

Answer:

the answer rectangluer

Step-by-step explanation:

Two radical expressions are called like terms if they have the same degree and the same radicand.

So, like radical terms, best describes terms that have the same degree and the same radicand.

Like radicals are those, that have the same root number and radicand.

So, the correct answer is option C.

Answer: X + 3

Step-by-step explanation:

Sum hints as to an addition statement and it specifies a variable X and the number 3 so the expression would be X + 3.

SUM MEANS ADDITION

HERE IT MEANS THE ADDITION OF x and 3

written as

\(x + 3\)

HOPE THIS HELPS