A.34
B.268
C.2,145
D.17,157

Answer:

510

Step-by-step explanation:

Sally bank account had a beginning balance of 230

She made two deposits of 50 and 420

50+420

= 470

She made a withdrawal of 190

Therefore her balance at the end of the month can be calculated as follows

470+230

= 700

= 700-190

= 510

Hence the balance at the end of the month is 510

Answer: The data is a random sample from the population of interest. Individual observations can be considered independent.

Step-by-step explanation:

The condition for constructing this confidence interval :

A) The data is a random sample from the population of interest.

C) Individual observations can be considered independent.

The correct options are A and C.

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

Given:

A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.

From the given choices:

The condition for constructing this confidence interval :

A) The data is a random sample from the population of interest.

C) Individual observations can be considered independent.

Therefore, A and C are the correct options.

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The complete question:

A development expert wants to use a one-sample zzz interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an

SRS of 50 women from this population and finds that 48 are literate.

Which conditions for constructing this confidence interval did their sample meet?

Choose all answers that apply:

A

The data is a random sample from the population of interest.

B

The observed counts of successes and failures are both sufficiently large.

C

Individual observations can be considered independent.

Answer:

She talked for 138 minutes

Step-by-step explanation:

Answer:

# of laps < 28, the number of laps will be less than 28.

1 lap = 4 minutes

28 laps = 112 minutes

Because we want less than 28 laps,

27 laps = 108 minutes

She can run any amount of laps less than 28.

Answer:

See attachment for triangle

Step-by-step explanation:

Given

Shape: Equilateral triangle

[tex]Perimeter = 10cm[/tex]

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

[tex]Perimeter = 3 * Length[/tex]

So, we have:

[tex]10= 3 * Length[/tex]

Solve for Length

[tex]Length = \frac{10}{3}[/tex]

[tex]Length = 3.33[/tex]

See attachment for triangle

Answer:

$368

Step-by-step explanation:

His gross pay was $368 for last week.

The commission is determined by the product of the commission rate and the total sales.

Commission = Commission rate x Total sales

As per the question, we have data :

Hourly rate $10

Commission rate =8%

Number of hours worked-20

Total sales $2,100

The gross pay is the product of the hourly rate and the number of hours worked.

Gross pay Hourly rate × Number of hours worked

= $10 × 20

= $200

We know that,

Commission = Commission rate x Total sales

= 8% x $2,100

= 0.08 x $2,100

= $168

The total pay is then the gross pay increased by the commission:

Total pay = Gross pay + Commission

Total pay = $200+ $168

Total pay = $368

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Answer:

The number of ways to choose a cone, if order matters, is 45.

Step-by-step explanation:

Given that a certain ice cream parlor offers fifteen flavors of ice cream, and you want an ice cream cone with three scoops of ice cream, all different flavors, to determine in how many ways you can choose a cone if it matters which flavor is on. top, which is in the middle and which is on the bottom, the following calculation must be performed:

15 x 3 = X

45 = X

The number of ways to choose a cone, if order matters, is 45.

Answer: The leading coefficient indicates that the graph of the parabola that represents the ball’s height over time will open in an upward direction

Step-by-step explanation:

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

Answer:

Step-by-step explanation:

y = - x - 4 (slope-intercept form)

x + y = - 4 (standard form)

Answer:

1. 3413

2. 4886

3. 114

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean is 400 hours and the standard deviation is 50 hours

This means that [tex]\mu = 400, \sigma = 50[/tex]

1. Between 350 and 450 hours:

The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.

X = 450:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{450 - 400}{50}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413.

X = 350:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{350 - 400}{50}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 5000:

0.6826 out of 5000. So

0.6826*5000 = 3413

3413 are expected to last between 350 hours and 450 hours.

2.more than 300 hours

The proportion is one subtracted by the pvalue of Z when X = 300.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{300 - 400}{50}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

Out of 5000:

0.9772of 5000 is

0.9772*5000 = 4886

4886 are expected to last more than 300 hours.

3.less than 300 hours

4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.

Answer:

1/12

hope this helps

have a good day :)

Step-by-step explanation:

The solution is 1/12 , is the simplest form of 1/6 divided by 2.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

1/6 divided by 2

i.e. 1/6÷ 2

=1/6* 1/2

=1/12

Hence, The solution is 1/12 , is the simplest form of 1/6 divided by 2.

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Answer:

[tex]Ship\ A = 40\ miles[/tex]

[tex]Ship\ B = 30\ miles[/tex]

Step-by-step explanation:

Given

[tex]d = 50[/tex] --- distance apart

[tex]Ship\ B = x[/tex]

[tex]Ship\ A = x + 10[/tex]

The question can be represented with the attached image.

Required

Solve for x

Using Pythagoras theorem, we have:

[tex]x^2 + (x + 10)^2 = 50^2[/tex]

Open bracket

[tex]x^2 + x^2 + 20x + 100 = 2500[/tex]

Collect like terms

[tex]x^2 + x^2 + 20x + 100 - 2500 = 0[/tex]

[tex]2x^2 + 20x -2400 = 0[/tex]

Divide through by 2

[tex]x^2 + 10x -1200 = 0[/tex]

Expand

[tex]x^2 + 40x - 30x -1200 = 0[/tex]

Factorize

[tex]x(x + 40) - 30(x +40) = 0[/tex]

Factor out x + 40

[tex](x - 30)(x +40) = 0[/tex]

Split and solve for x

[tex]x - 30 = 0\ or\ x + 40 = 0[/tex]

[tex]x = 30\ or\ x = -40[/tex]

Distance can not be negative

So:

[tex]x = 30[/tex]

Recall that:

[tex]Ship\ B = x[/tex]

[tex]Ship\ A = x + 10[/tex]

This implies that:

[tex]Ship\ B = 30\ miles[/tex]

[tex]Ship\ A = 30 + 10\ miles[/tex]

[tex]Ship\ A = 40\ miles[/tex]

Answer:

See Annex

Step-by-step explanation:

The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.

In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :

z(max)  = 11

x₁  = x  = 2

x₂ = y  = 1

Answer:

let no. be x and y.

we have

x+y=11.......(1)

x-y=5........(2)

adding equation 1&2

x+y+x-y=11+5

2x=16

x=16/2=8

again

8-y=5

y=8-5=3

:.

x=8,y=3

Answer:

This is a trapezoid.

Step-by-step explanation:

Answer:

The mean is 6.

Step-by-step explanation:

Answer: V= 65.3 ft^3

Answer:

x=18 and y=106

Step-by-step explanation:

Answer:

The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.

Answer:

B.3.2 ,3.317 ,3.606 ,3.61.

Step-by-step explanation:

i guess that is the answer,but if it isn't tell me I may try it again.good day.

Answer:

sorry

Step-by-step explanation:

don't know I m in 8th

I will surely help you

Answer:

Simile

Step-by-step explanation:

A simile is a figure of speech that directly compares two things. Similes differ from other metaphors by highlighting the similarities between two things using comparison words such as "like", "as", "so", or " than", while other metaphors create an implicit comparison.

Hope this helps! If you have any questions revolving around this topic,feel free to ask me and I will be happy to help!

Answer:

40% are girls

Step-by-step explanation:

60/150=0.4=40%

You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.