Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? 359+558 Round the two numbers to the nearest ten. An estimate of the sum is:______. The actual sum is How reasonable is your estimate when compared to the actual answer? A. Not reasonable. The estimate seems too low compared to the actual answer B. Reasonable. The estimate seems a little tower compared to the actual answer. C Reasonable. The estimate sooms a little higher compared to the actual answer. D. Not reasonable. The estimate seems too high compared to the actual answer

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

22+2\(\sqrt{2}\)

Step-by-step explanation:

Expanded it is

24-4\(\sqrt{2}\)+6

This simplified leads to 22+2\(\sqrt{2}\)

Hope this helps

Answer:

So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.

Step-by-step explanation:

The sample size is important to find the margin of errror of a confidence interval.

The margin of error is given by a formula in the following format:

\(M = \frac{c*s}{\sqrt{n}}\)

In which c is the critical value(depends on the distribution used, can be T or Z), s is the standard deviation(of the sample or the population) and n is the size of the sample.

As n increases, M decreases, which leads to a lower margin of error.

The lower the margin of error, the more precise the interval is.

So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.

Answer:

make each of the supplementary angles 90, then they are equal.                                                                                                                                                                                                                                                                                                                  

Step-by-step explanation:

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

Answer:131290

Step-by-step explanation:13129*100/10=131290

For this type of questions (linear equations optimization) remember that the maxumum and minimum values are reached for one of the vertices of the polygon formed by the region.

Now we evaluate the vertices in the given function:

Then, we conclude that the maximum value is C=26 and the minimum is C=-4.

Answer:

8

Step-by-step explanation:

40 x 0.20

= 8

Answer:

3*2*3^m*4^m=3^8*2^n

3^m+1*2^2m+1=3^8*2^n

m+1=8

m=7

2m+1=n

n=15

Step-by-step explanation:

Kevin has 6 more marbles than Chris.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is that Chris has 18 marbles and Kevin has 15 marbles. Chris gave half of his marbles to Kevin.

Let the marbles with Kevin will be [x]. So, we can write -

[x] = 15 + (18/2)

[x] = 15 + 9

[x] = 24

Now -

[x] - 18

24 - 18

6

Therefore, Kevin has 6 more marbles than Chris.

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Answer: -x because its more than one zero

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

All others can be proved false.

Answer:

X<-4.5

Step-by-step explanation:

firstly group like terms ,You divide both side by -5 and the answer was -4.5

Answer:

135,590.4 lbs

Step-by-step explanation:

the radius of tank = r = 4 ft

the length of tank = h = 42 ft

the volume of tank truck = π. r².h

= 22/7 × 4² x 42

= 132×16

= 2,112 ft³ (= the volume of milk)

so, the weight of milk =

2,112 × 64.2 = 135,590.4 lbs

\(\\ \sf\longmapsto V=\pi r^2h\)

\(\\ \sf\longmapsto V=\dfrac{22}{7}(4)^2(42)\)

\(\\ \sf\longmapsto V=22(16)(6)\)

\(\\ \sf\longmapsto V=22(96)\)

\(\\ \sf\longmapsto V=2112ft^3\)

Now

Weight of milk

\(\\ \sf\longmapsto 2112(64.2)=135,590lbs\)

Answer:

1200

1. X represents the number of buttons Markie has: 200 times 5 = x

2. 200 X 5 = 1000, so Markie has 1000 buttons

3. Add Markies Buttons and Johns buttons: 200 + 1000 = 1200

4. Sentence: John and Markie have 1200 buttons all together.

The solutions are given below:-

Part (a),

X₁ + X₂ have distribution Bi(n₁+n₂, p)

Part (b),

P(X ₁+ X₂ = 1 | X₂ = 0) =  np(1-p)ⁿ¹⁻¹

P(X₁+X₂ = 1| X₂ = 1) = (1-p)ⁿ¹

P(X₁ + X₂ = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

Since both variables are independent but they have the same probability parameter, you can interpret that as if the experiment that models each try in both variables is the same.

When you sum both random variables together, what you obtain as a result is the total amount of success in n₁+n₂ tries of the same experiment, thus X₁+X₂have distribution Bi(n₁ + n₂, p).

b)

Note that, if X₂ = k, then X₁ +X₂ = 1 is equivalent to X₁ = 1-k. Since X1 and X₂ are independent, then P(X₁ +X₂ = 1| X₂ = K) = P(X1=1-k|X₂=k) = P(X₁ = 1-k).

If k = 0, then this probability is equal to P(X₁ = 1) = np(1-p)ⁿ¹⁻¹

If k = 1, then it is equal to P(X₁ = 0) = (1-p)ⁿ¹

Thus,

P(X₁+X₂ = 1) = P(X₁+X₂ = 1| X₂ = 1) * P(X₂=1) + P(X₁+X₂ = 1| X₂ = 0) * P(X₂ = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹.

The complete question is given below.

Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and X2 are independent.

(a) The mgf of binomial distribution Bin(n, p) is (1 − p + pet)n. Use this fact to obtain the distribution of X1 + X2.

(b) Find the probability P(X1 + X2 = 1|X2 = k) for k = 0 and 1. Then use the law of total probability to find P (X1 + X2 = 1)

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Answer:

Answer is AAAAAAAAAAAA

Step-by-step explanation:

AAAAAAAA the first one

The circumference of the circular pond is 87.92 meters

The circumference(C) of a circle is given by the formula:

C = 2πr

where r represents the radius

r = 14 meters

π = 3.14

C = 2(3.14)(14)

C = 87.92 meters

The circumference of the circular pond is 87.92 meters

Answer:

74

Step-by-step explanation:

13x5+9=74

Answer: c

Step-by-step explanation:

Answer:

The value of 4 is 400

Step-by-step explanation:

Answer:

hundred

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer - its not 7. 50  it 6.00  

Step-by-step explanation:

i just solved it, believe me its 6.00

Answer:

11.60740741

Step-by-step explanation:

Answer:

11.6074074074

Step-by-step explanation:

Answer:

-4, -2, 4

Step-by-step explanation:

-1(2)-2

0(2)-2

3(2)-2

I hope this helped.

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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Answer:

Step-by-step explanation:

Area of a circle=πr²

Radius = 16/2=8 Area of a circle=3.14×8×8

= 3.14×64

= 200.96cm²

= 201 cm² to the nearest unit.

Answer:

1,826,059

Step-by-step explanation:

One-tenth the value of any number  is just moving the given number to the right one time