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A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35° with the horizontal. How long will it take for the projectile to reach the ground? (Show work)

Answer:

  84,000

Step-by-step explanation:

80% of 105,000 is ...

  0.80 × 105,000 = 84,000

About 84,000 businesses in the industry have fewer than 10 employees.

Answer:

Hey there!

3/2 and 3/4 can be written as decimals that terminate.

Hope this helps :)

Answer:

C

Step-by-step explanation:

A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point.

3/2=1.5

3/4= 0.75 (It ends after division)

Graph the line using the slope and y-intercept, or two points.

Slope: -7/3

y-intercept: 2

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Answer:

First term a = 41

Step-by-step explanation:

Arithmetic Progression:

Common differences d = -2

[tex]S_{n}=\frac{n}{2}(2a+[n-1]d)\\\\S_{20}=\frac{20}{2}(2a+19*[-2])\\\\[/tex]

  = 10*(2a - 38)

 = 10*2a - 10*38

=20a - 380

[tex]S_{22}=\frac{22}{2}(2a+21*[-2])\\\\[/tex]

= 11 (2a -42)

=11*2a - 11*42

= 22a - 462

[tex]S_{22}=S_{20}\\\\[/tex]

22a - 462 = 20a - 380

22a = 20a - 380 + 462

22a = 20a + 82

22a - 20a = 82

2a = 82

a = 82/2

a = 41

First term a = 41

Answer: 0.66

Step-by-step explanation:

He must choose 2 courses.

The options are:

one of two science classes

one of three social sciences classes.

For the first class selection we do not have any restriction, so that selection can be ignored.

Now, we can assume that one of the 3 social sciences is economics, so we have 2 classes that are not economics.

Then, the probability that he does not select economics (if the selections are at random) is equal to the number of classes that are not economics divided the total number of classes:

p = 2/3 = 0.66

Answer:

39 inches

Step-by-step explanation:

sqrt(15^2 + 36^2) = 39

Answer:

C. x < 25 and x ≥ 0

Step-by-step explanation:

Fastest and easiest way to do this is to graph the inequality and find out the lines.

Answer:

Mean: 8.28

Standard deviation: 2.84

Step-by-step explanation:

This random variable "number of Billy Ripken error cards found" can be described by the binomial distribution, with sample size n=360 (number of packs) and probability of success p=0.023 (probabillity of a pack containing the coveted Billy Ripken error card).

Then, the mean and standard deviation are calculate as for the binomial distribution:

[tex]\mu=np=360\cdot 0.023=8.28\\\\\sigma=\sqrt{np(1-p)}=\sqrt{360\cdot 0.023\cdot 0.977}=\sqrt{8.08956}\approx2.84[/tex]

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▹ Answer

n⁸

▹ Step-by-Step Explanation

n⁶ * n⁵ ÷ n⁴ * n³ ÷ n² * n

n⁶ * n⁵ * n⁻⁴ * n³ ÷ n²

n⁶ ⁺ ⁵ ⁻ ⁴ ⁺ ³ ⁻ ²

n⁸

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

2^9

Step-by-step explanation:

The other answer says n^8 I believe? Tried this and the answer ended up being n^9.

Answer:

f(-1) = -8

f(1) =  -12

Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  [tex]0.555 < p < 0.777[/tex]

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             [tex]\r p = \frac{0.555 + 0.777}{2}[/tex]

            [tex]\r p =0.666[/tex]

Generally the margin of error is mathematically represented as

            [tex]E = \frac{1}{2} * K[/tex]

Where  K is the length of the confidence interval which iis mathematically represented as

           [tex]K = 0.777 -0.555[/tex]

         [tex]K = 0.222[/tex]

Hence  

          [tex]ME = \frac{1}{2} * 0.222[/tex]

           [tex]ME = 0.111[/tex]

So the confidence interval can now be represented as

        [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

Answer:

0.9^10

Step-by-step explanation:

The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9

There are 10 questions  that are independent from each other .

The probability to be answered correctly is 0.9  each.  So the probability to answer correctly to all of them is

P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10

Answer:

57

Step-by-step explanation:

Area of rectangle:

4 x 12

=48

Area of left triangle:

2 x 3 / 2

=3

Area of right triangle:

6 x 2 / 2

=6

Total Area:

48 + 3 + 6 = 57

Answer: 100

Step-by-step explanation: 4 * 12 = 48     6 * 2 / 0.5 = 24    3 * 2 / 0.5 = 12

48+24+12=84 84 to the nearest hundred is 100.

Answer:

Forecast demand for period 7 is 290.

Step-by-step explanation:

The given number of period = 6

Since it is given that in period 1, the demand is 200 and at period 6 the demand is 300. However, to find the forecast demand for period 7, just add the demand of period 1 and period 6, then divide by 2.  

Here, the following is the calculation.

Forecast demand for period 7 = (280 + 300) / 2

                                                  = 290

Answer:

Standard Deviation = 5.928

Step-by-step explanation:

a) Data:

Days  Hours spent  (Mean - Hour)²

1              5                61.356

2             7                34.024

3            11                  3.360

4           14                   1.362

5           18               26.698

6          22               84.034

6 days 77 hours,    210.834

mean

77/6 = 12.833    and 210.83/6 =  35.139

Therefore, the square root of 35.139 = 5.928

b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.

Answer:

n,,n,n,n

Step-by-step explanation:

Answer:

5+(x-6)

Step-by-step explanation:

Expression: 5 more than the quantity of a number minus 6

5 more than the quantity of a number - 6

Let that quantity be x.

More than indicates addition (+)

5+(x-6)

Answer:

first number: 9 second number: 63

Step-by-step explanation

lets make a ratio!

since one number is 7 times less than the other, the ratio would be: 1:7.

now to find the answer, you'd have to do 1+7 divided by 72. so basically

x=72/8

then solving that should be simple!

x=9

so 7x would be 63.

Answer:

Option A

5 years: $53,750

10 years: $57,500

20 years: $65,000

Option B

5 years: $53,599

10 years: $57,458

20 years: $66,028

Answer:

the corrects answers

Option A

5 years: $53,750

10 years: $57,500

20 years: $65,000

Option B

5 years: $53,599

10 years: $57,458

20 years: $66,028

Division is one of the four fundamental arithmetic operations. The amount of money the school needs to spend on computers is $95,522.32.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The number of students in a class is 24, while the number of classes is 17. Therefore, the number of students in the classes should be,

[tex]\text{Total number of students} = 24 \times 17 = 408[/tex]

Now, since, there should be a computer for every 3 students, therefore, the number of computers that will be needed are,

[tex]\text{Number of computer} = \dfrac{\text{Number of students}}{3} = \dfrac{408}{3} = 136[/tex]

The cost of a single computer is $702.37, therefore, the cost of 136 computers will be,

[tex]\rm Total\ cost= (\text{Cost of a single computer}) \times 136\\\\ Total\ cost= (\$702.37) \times 136\\\\ Total\ cost= \$95,522.32[/tex]

Hence, the amount of money the school needs to spend on computers is $95,522.32.

Learn more about Division:

https://brainly.com/question/369266

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Answer:

7 seconds

Step-by-step explanation:

Given the height equation of the motion;

s = -16t^2 + 256t

At s = 1008 ft

The equation becomes;

1008 = -16t^2 + 256t

16t^2 - 256t + 1008 = 0

Solving the quadratic equation for t;

Factorising, we have;

16(t-7)(t-9) = 0

t = 7 or t = 9

When the ball is going up it would reach the given height at time t = 7 seconds.

When it is coming down it would reach the given height at time t = 9 seconds.

Answer:

[tex]Probability = \frac{3\\}{14}[/tex]

Step-by-step explanation:

Given

Republicans = 10

Democrats = 6

Total = Republicans + Democrats = 10 + 6 = 16

Selection = 3

Required

Probability that all selected members are Republicans

This implies that all selected members are republicans and none are republicans

This is calculated by (Number of ways of selecting 3 republicans * Number of ways of selecting 0 Democrats) / (Total number of possible selections)

First; the number of ways the 3 republicans from 10 can be selected needs to be calculated;

[tex]^{10}C_3 = \frac{10!}{(10-3)!3!}[/tex]

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

[tex]^{10}C_3 = \frac{10*9*8*7!}{3!7!}[/tex]

Divide numerator and denominator by 7!

[tex]^{10}C_3 = \frac{10*9*8}{3*2*1}[/tex]

[tex]^{10}C_3 = \frac{720}{6}[/tex]

[tex]^{10}C_3 = 120[/tex]

Next, the number of ways that 0 republicans can be selected from 6 will be calculated

[tex]^6C_0 = \frac{6!}{(6-0)!0!}[/tex]

[tex]^6C_0 = \frac{6!}{6!0!}[/tex]

[tex]^6C_0 = 1[/tex]

Next, the total number of possible selection will be calculated; In other words number of ways of selecting 3 politicians fro a group of 16

[tex]^{16}C_3 = \frac{16!}{(16-3)!3!}[/tex]

[tex]^{16}C_3 = \frac{16!}{13!3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14*13!}{13!3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14}{3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14}{3*2*1}[/tex]

[tex]^{16}C_3 = \frac{3360}{6}[/tex]

[tex]^{16}C_3 = 560[/tex]

Lastly, the probability is calculated as follows;

[tex]Probability = \frac{^{10}C_3\ *\ ^6C_0}{^{16}C_3}[/tex]

[tex]Probability = \frac{120\ *\ 1}{560}[/tex]

[tex]Probability = \frac{120\\}{560}[/tex]

Simplify fraction to lowest term

[tex]Probability = \frac{3\\}{14}[/tex]

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▹ Answer

1. Sampling error

▹ Step-by-Step Explanation

A sampling error is an error in statistics. This means that not the whole population is given a chance to be sampled, which results in this error.

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

When we are dealing with area (2 dimensions) the decrease is (1/8) squared or 0.0156250

So 34 sq meters * 0.0156250  = 0.53125 sq meters

A square meter = 100*100 cm = 10,000 sq centimeters.  

So .53125 sq meters times 10,000 =  5,312.5 sq centimeters

I double-checked my answer and it seems the answer is 5,312.5 sq cm.

I'm guessing whoever made this question, when they converted square meters to square centimeters, they divided by 100 instead of 10,000.

Step-by-step explanation:

Answer: 2 x 9 = 18

Step-by-step explanation:

Multiplication is division’s inverse operation.

Answer:

x = 36

Step-by-step explanation:

x/3 - 14 = -2

x - 42 = -6

x = -6 + 42

x = 36

Hope this helps! :)

Answer:

x= 36

Step-by-step explanation:

X/3 - 14 = -2

Add 14 to each side

X/3 - 14+14 = -2+14

x/3 = 12

Multiply each side by 3

x/3 * 3 = 12*3

x = 36

answer:

0.25 miles/sec, i hope this helps

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

notice that if you substitute x by five you get 0/0 wich a non-defined form

The trick is to simplify by x-5

Hey there! :)

Answer:

[tex]\lim_{x \to 5} = 7/2[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\frac{x^{2}-3x-10 }{2x-10}[/tex]

Factor the numerator and denominator:

[tex]\frac{(x - 5)(x+2) }{2(x-5)}[/tex]

'x - 5' is on both the numerator and denominator, so it gets cancelled out and becomes a "hole".

This means that at x = 5, there is a hole. There is a limit at x ⇒ 5. Find the hole by plugging 5 into the simplified equation:

[tex]\frac{((5)+2) }{2}[/tex] = 7/2

Therefore:

[tex]\lim_{x \to 5} = 7/2[/tex]

Answer:

12.5

Step-by-step explanation:

to find the length of one side of the hexagon, draw diagonal lines, which will be six diagonals, this will divide the hexagon into, 6 equilateral triangles. The diagonals are equal in length to the side of the square (25 cm.) and the sides of the equilateral triangles are just half of this (12.5 cm.)

25/2=12.5

Answer:

a) 8.23% probability that a piece of pottery will be finished within 95 minutes

b) 0.28% probability that it will take longer than 110 minutes.

Step-by-step explanation:

Normal distribution:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Two variables:

Means [tex]\mu_{a}, \mu_{b}[/tex]

Standard deviations [tex]\sigma_{a}, \sigma_{b}[/tex]

Sum:

[tex]\mu = \mu_{a} + \mu_{b}[/tex]

[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}}[/tex]

In this question:

[tex]\mu_{a} = 40, \mu_{b} = 60, \sigma_{a} = 2, \sigma_{b} = 3[/tex]

So

[tex]\mu = \mu_{a} + \mu_{b} = 40 + 60 = 100[/tex]

[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}} = \sqrt{4 + 9} = 3.61[/tex]

A) What is the probability that a piece of pottery will befinished within 95 minutes?

This is the pvalue of Z when X = 95.

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

[tex]Z = \frac{95 - 100}{3.61}[/tex]

[tex]Z = -1.39[/tex]

[tex]Z = -1.39[/tex] has a pvalue of 0.0823

8.23% probability that a piece of pottery will befinished within 95 minutes.

B) What is the probability that it will take longer than 110 minutes?

This is 1 subtracted by the pvalue of Z when X = 110.

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

[tex]Z = \frac{110 - 100}{3.61}[/tex]

[tex]Z = 2.77[/tex]

[tex]Z = 2.77[/tex] has a pvalue of 0.9972

1 - 0.9972 = 0.0028

0.28% probability that it will take longer than 110 minutes.