Mugs can be packed with up to 6 mugs in each box how many boxes are needed to pack 1528

Answer:

1.36842105263

Step-by-step explanation:

or rounded it's one hope that helps

Answer: 59.4

Step-by-step explanation: 57 + 63 + 53 + 68 + 56 = 297

297 divided by 5 = 59.4

Answer:

Step-by-step explanation:

This is your correct answer if ur aim is simplification!

The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)

is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.

We know that, rule of reflection over y-axis,

(x, y) → (-x, y)

Q' = (3, 1)

R' = (-8, -2)

S' = (-7, -7)

T' = (-2, -6)

Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

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Answer:

12.6 miles every hour

Step-by-step explanation:

113.4 divide by 9 equals 12.6 so 12.6 times 9 hours equals 113.4 this is so easy its 4 grade work i am in 8th

Answer:

6.91 hours

Step-by-step explanation:

The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

Answer:

The expression represent the prime factorization of 84 is B

Step-by-step explanation:

2×6×7

=84

Answer:

B. 2 x 6 x 7

Step-by-step explanation:

its the prime factorzation

Answer:

48,236.7

Step-by-step explanation:

40,000 + 8,000 + 200 + 30 + 6 + 7/10

7/10 can also be written .7

Answer:

A sinusoidal model would be used

The kind of function that have consistency in the periodic rate of change is the Average rate of changes

Step-by-step explanation:

The type of model that would be used is sinusoidal model and this is because there is periodic change in the values given ( i.e the rate of changes given )

For percentage rate of changes :

starting from 0.9% there is an increase to 1.3% then a decrease to 1.1% and a further decrease to 1% before an increase to 1.3% and another decrease to 1%

For Average rate of changes:

starting from 2.9 there is a decrease to 2.4, then an increase to 3.7 and another decrease to 3.1 followed by an increase to 3.6 and a decrease back to 3.2

This relation ( sinusoidal model ) is best suited for a linear model because there is a periodic rate of change in the functions

The kind of function that have consistency in the period rate of change is the Average rate of changes

Answer:

  3/5

Step-by-step explanation:

The way you read a decimal fraction tells you how to write it with numbers.

  0.6 = "six tenths" = 6/10

This can be reduced to 3/5.

Answer:

The surface area is 125.66 \(cm^2\)

Hope this helps!

Answer:

a) 0.2588

b) 0.044015

c) 0.12609

Step-by-step explanation:

Using the TI-84 PLUS calculator

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question, we know that:

μ = 119 inches

standard deviation σ = 17 inches

(a) What proportion of trees are more than 130 inches tall?

x = 130 inches

z = (130-119)/17

= 0.64706

Probabilty value from Z-Table:

P(x<130) = 0.7412

P(x>130) = 1 - P(x<130) = 0.2588

(b) What proportion of trees are less than 90 inches tall?

x = 90 inches

z = (90-119)/17

=-1.70588

Probability value from Z-Table:

P(x<90) = 0.044015

(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?

For x = 95

z = (95-119)/17

= -1.41176

Probability value from Z-Table:

P(x = 95) = 0.07901

For x = 105

z = (105 -119)/17

=-0.82353

Probability value from Z-Table:

P(x<105) = 0.2051

The probability that a randomly chosen tree is between 95 and 105 inches tall

P(x = 105) - P(x = 95)

0.2051 - 0.07901

= 0.12609

Answer:

Step-by-step explanation:

C.) 15 upgraded phones

Answer:

$18

Step-by-step explanation:

The median price is the middle number of the data set given for price when ordered.

To find the median price, first order the data from the least to the largest.

12, 15, 16, 16, 20, 22, 24, 27

The median price is between 16 and 20, therefore, the average of 16 and 20 would give us the median price.

Median = (16 + 20) ÷ 2 =36 ÷ 2 = 18

Median price of the watches recorded is $18.

Answer: See image

Step-by-step explanation:

The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.

The coordinates of the reflected triangle are (-1,3) (-3,1) and (-4,5)

Given that we have the graph of the triangle ABC

With the coordinates (1,3) (3,1) (4,5)

The transformation is given as

Triangle ABC is reflected over the y-axis

The rule of this transformation is

(x, y) = (-x, y)

So, we have

Image = (-1,3) (-3,1) and (-4,5)

In (a), we have

The rule of this transformation is (x, y) = (-x, y)

This means that the y-coordinate remains unchanged while the x-coordinate is negated as a result of this reflection.

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3.8/24 is 0.1407

to get to a percentage you x100

so the answer is 14.07%

Answer:

The standard deviation of the sample mean is  \(\sigma _ {\= x } = 2.711\)

Step-by-step explanation:

From the question we are told that

   The mean is  \(\= x = 60\)

    The standard deviation is  \(\sigma = 21\)

     The sample size is \(n = 60\)

Generally the standard deviation of the sample mean is mathematically represented as  

               \(\sigma _ {\= x } = \frac{\sigma }{\sqrt{n} }\)

substituting values

               \(\sigma _ {\= x } = \frac{ 21 }{\sqrt{60} }\)

               \(\sigma _ {\= x } = 2.711\)

If I did this correct, it should be 7,5 hope ot helps

The common ratio of the associated geometric sequence is 4

The table of values is given as:

x y

1 9

2 36

3 144

4 576

5 2304

The common ratio is calculated as:

Ratio = y(2)/y(1)

This gives

Ratio = 36/9

Divide

Ratio - 4

Hence, the common ratio is 4

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Answer:

1.4×10−5=0.000014

Step-by-step explanation:

Because the exponent of the 10 term is a negative number you need to move the decimal point to the left 5 positions;

1.4×10−5=0.000014

The ordinary number is 0.0001653.

The given number is: \(1.653*10^{-4}\)

We know that for \(10^{-4}\) we have to move the decimal to the left by 4 units.

So the ordinary number will be: 0.0001653.

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Answer:

C = 21.98 inches

Step-by-step explanation:

\(c = \pi \: d \\ c = 3.14 \times 7 \\ c = 21.98\)

I hope I helped you^_^

Answer:

60

Step-by-step explanation:

15x4= 60

Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:

\(H_0: \mu = 28\)

At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:

\(H_1: \mu > 28\).

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are given by:

\(\overline{x} = 32, \mu = 28, \sigma = 5, n = 10\)

Hence:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}\)

\(z = 2.53\)

Considering that we have a right-tailed test, as we are testing if the mean is greater than a value, with a standard significance level of 0.05, the critical value is of \(z^\ast = 1.645\).

Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

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Answer:

The answer is "\(\bold{\frac{22}{171}}\)"

Step-by-step explanation:

There are 22 million males that have completed four years of undergraduate, according to the data below: (or more). This is predicated on a population of 171 million.

The chances we're searching about \(\frac{(22\ million)}{(171\ million)} = \frac{22}{171}\)

however

This proportion could be further reduced because 22 and 171 have no common features (other than 1).

The logistic model for the population P is P = 75x = 400.

The number of deer population after 10 years is 1150.

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

We have,

Deer:

Population capacity = 2500

Initial population = 400

Population after 4 years = 700

Now,

We can make two ordered pairs:

(0, 400) and (4, 700)

Now,

We can write an equation as,

P = mx + c

m = (700 - 400) / (4 - 0) = 300/4 = 75

And,

(0, 400) = (x, y)

400 = 75 x 0 + c

c = 400

So,

P = 75x + 400

This is the equation for the number of deers after x years.

Now,

The number of deers after 10 years.

x = 10

P = 75 x 10 + 400

P = 750 + 400

P = 1150

Thus,

The number of deer after 10 years is 1150.

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