matt would like to share 5/8 of a pound with 4 with his 3 friends how many pound of chocolate will each of the 4 people receive

Answer:

D (Bottom right choice)

Step-by-step explanation:

This is because we have a linear line that changes the same amount every time.

Answer:

10.5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

11

Answer:

40

Step-by-step explanation:

40

Answer:

The answer is below

Step-by-step explanation:

From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75

The confidence level (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.

The margin of error (E) is given as:

\(E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.645*\frac{518.75}{\sqrt{14} } =228.07\)

The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)

The confidence interval is between 1162.68 and 1618.82.

Answer:

-42.75 meters

Step-by-step explanation:

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

11

Step-by-step explanation:

Step 1:

3/7r+5/8s

Step 2:

So u multiply 3/7 by 14

3/7 x 14= 42/7= 6

Step 2.5:

Now u multiply 5/8 by 8

5/8 x 8= 40/8= 5

Step 3:

6+5=11

Answer:

X = 4

Step-by-step explanation:

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

the solution is X = 4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

hence, the solution is x=4.

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Answer: -20

Step-by-step explanation:

Consider the number as x,

2(x+30)=20

x+30=20/2

x+30=10

x=10-30

x=-20

The complete table of values of the linear equation is

x | y

0 | 0

1 | 1

2 | 2

3 | 3

The linear equation of the function is given as

y = x

To complete the table, we assume values for x and then calculate the y values

So, we use the following values

x = 0, 1, 2, 3

Next, we substitute x = 0, 1, 2, 3 in the equation y = x

So, we have:

When x = 0

y = 0

When x = 1

y = 1

When x = 2

y = 2

When x = 3

y = 3

So, the complete table of values is

x | y

0 | 0

1 | 1

2 | 2

3 | 3

When represented as ordered pairs, we have

(x, y) = (0, 0), (1, 1), (2, 2) and (3, 3)

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Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

The answer choice which must be true regarding the linear function is; The set must have a constant additive rate of change.

Since a linear function typically takes the slope-intercept form; f(x) = mx +c.

It therefore follows that the equation must have a constant slope m, which is the described additive constant rate of change.

It therefore follows that, the answer choice which is true regarding the linear function is therefore; The set must have a constant additive rate of change.

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Answer:

80 telephones should be sampled

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

89% confidence level

So \(\alpha = 0.11\), z is the value of Z that has a p-value of \(1 - \frac{0.11}{2} = 0.945\), so \(Z = 1.6\).

How many telephones should be sampled and checked in order to estimate the proportion defective to within 9 percentage points with 89% confidence?

n telephones should be sampled, an n is found when M = 0.09. We have no estimate for the proportion, thus we use \(\pi = 0.5\)

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.09 = 1.6\sqrt{\frac{0.5*0.5}{n}}\)

\(0.09\sqrt{n} = 1.6*0.5\)

\(\sqrt{n} = \frac{1.6*0.5}{0.09}\)

\((\sqrt{n})^2 = (\frac{1.6*0.5}{0.09})^2\)

\(n = 79.01\)

Rounding up(as 79 gives a margin of error slightly above the desired value).

80 telephones should be sampled

Answer:

x = 50

Step-by-step explanation:

Answer:

y = 3x + 4

Step-by-step explanation:

✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):

Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3

m = 3

✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b

10 = 3(2) + b

10 = 6 + b

10 - 6 = b

4 = b

b = 4

✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b

y = 3x + 4

The cutoff point is 717 minutes.

Arrange the data in ascending order.

307, 311, 321, 322, 354, 363, 377, 406, 410, 425, 435, 461, 464, 474, 499, 505, 513, 517, 534, 548

Thus, the value of i is 5.

Here, i is an integer, the 25th percentile is the mean of the data values at the 5th and 6th positions.

The data value in the 5th position is 354 and the data value in the 6th position is 363. Thus, the mean of these two values is,

=358.5

​

The 25th percentile is considered as the first quartile. Hence, the value of the first quartile (Q1 ) is 358.5 minutes.

Find the third quartile (Q3) or 75th percentile.

Consider p=75 and n=20 .

Thus, the value of i is 15.

Here, i is an integer, the 75th percentile is the mean of the data values in positions at the 15th and 16th

The data value in the 15th position is 499 and the data value in the 16th  position is 505. Thus, the mean of these two values is 502.

The 75th percentile is considered as the third quartile. Hence, the value of the third quartile (Q3 ) is 502 minutes.

The interquartile range (IQR) is 143.5

The upper fence is,

Upperfence=502+(1.5∗143.5)

=502+215.25

=717.25

≈717minutes

The cutoff point is 717 minutes.

The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. Thus, the cutoff point is 717 minutes.

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The earth is 3.91×10^8 miles closer to the sun than jupiter

Distance is the space or gap between two points or bodies. It is a scalar quantity and measured in cm, m, km, miles e.t.c

The distance between the earth and the is 9.3×10^7 miles and the distance of Jupiter from the sun is 4.84×10^8 . This shows that the earth is closer to sun than Jupiter.

The dimension of how closer the earth is to the sun than Jupiter is therefore

( 4.84×10^8)-(9.3×10^7)= 3.91×10^8 miles

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The sinusoidal expression of the function is D(t) = -cos(3t)

A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.

here, we have to,

to determine the sinusoidal expression:

When he pushes off, he is 1 m behind the center.

This means that:

Amplitude, a = 1.

But we use, a = -1 because he is behind

The graph has a minimum point at (0,-1) and then intersects its midline at (π/6, 0).

So, the period B is: 2π/B = 4 * π/6 and the vertical shift (d) is 0

Simplify 2π/B = 4 * π/6

2π/B = 2π/3

By comparison, we have:

B = 3

The function is given as:

a cos(Bt) + d

Substitute the calculated values

D(t) = -cos(3t)

Hence, the sinusoidal expression of the function is D(t) = -cos(3t)

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Answer:

period and he completes a swing in ten seconds

The amount that will be in Andy's account in 2 years after the addition of interest is $112.36

Andy has $100 in an account

An interest rate of 6% is compounded annually

The amount that will be present in the account after 2 years can be calculated as follows

= 100(1+ 6/100)²

= 100(1 + 0.06)²

= 100(1.06)²

= 100(1.1236)

= 112.36

Hence the amount that will be present in the account after 2 years with the addition of interest is $112.36

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Answer:

1:20

Step-by-step explanation:

The seven ordered pairs that fit on the axes of the graph include the following:

In order to use the given polynomial function to complete the table, we would have to substitute each of the values of x (x-values) into the polynomial function and then evaluate as follows;

When the value of x = -3, the output value of this polynomial function is given by;

y = x³ + 6

y = (-3)³ + 6

y = -27 + 6

y = -21

By observing critically the graph (see attachment), we can logically deduce that it represents a polynomial function.

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Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

Answer:

8

Step-by-step explanation:

10+8-6-4=8

Answer:

option a

hope this helped.

Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation: