1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?​

Answer:

24 degrees

Step-by-step explanation:

since BD is an angle bisector, the given numbers are equal to each other

this means that you can write the equation as: 6x = x + 20

subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20

then divide both sides by 5 to find x: x = 4

now substitute this into the value given for angle ABD: 6(4)

this gives you 24 degrees

Answer:

29.25 if rounded up it equals 29.3

Step-by-step explanation:

Answer:

D I'm pretty sure

Step-by-step explanation:

Answer:

Its B. i just did this question.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:it said i was wrong and the correct answer should have been -6 3/10

Step-by-step explanation:

The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

"The rate of change function is the rate at which one quantity is changing with respect to another quantity."

Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.

We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.

i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.

Total change in weight of the sculpture after t hours

= change in the weight of the sculpture per hour × t

= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]

= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]

= [tex]-\frac{63}{10}[/tex]

= [tex]\bold{-6\frac{3}{10}}[/tex] pounds

Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

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Answer:

$13.5

Step-by-step explanation:

l= P×R×T/100

I= 12,500×9×12/100

l= $13,5

The interest earned for his investment after 12 years is $13,500.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, P=$12,500, rate of interest=9% and time period=12 years.

Here, simple interest = (12500×9×12)/100

= 1350000/100

= 13,500

So, the interest is $13,500

Therefore, the interest earned for his investment after 12 years is $13,500.

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Answer:

The value is  [tex]p-value = 0.094963[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 500

   The number of rejected parts is  k =  10

    The null hypothesis is [tex]H_o : p = 0.03[/tex]

    The alternative hypothesis is  [tex]H_1 : p < 0.03[/tex]

Generally the sample proportion is mathematically represented as

           [tex]\^ p = \frac{10}{500}[/tex]

=>       [tex]\^ p = 0.02[/tex]

Generally the test statistics is mathematically represented as

           [tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]

=>       [tex]z = \frac{0.02 - 0.03 }{ \sqrt{\frac{ 0.03 (1-0.03)}{500} } }[/tex]

=>       [tex]z = -1.31080[/tex]

From the z table the probability of  (Z <   -1.31080) is  

      [tex]p-value = P(Z < -1.31080) = 0.094963[/tex]

First, rewrite

[tex]x^y=e^{\ln x^y}=e^{y\ln x}[/tex]

[tex]5^{x-y}=e^{\ln5^{x-y}} = e^{\ln(5)(x-y)}[/tex]

Now, differentiate both sides using the chain rule:

[tex]\dfrac{\mathrm d\left(e^{y\ln x}\right)}{\mathrm dx}=\dfrac{\mathrm d\left(e^{\ln(5)(x-y)}\right)}{\mathrm dx}[/tex]

[tex]e^{y\ln x}\dfrac{\mathrm d(y\ln x)}{\mathrm dx}=e^{\ln(5)(x-y)}\dfrac{\mathrm d(\ln(5)(x-y))}{\mathrm dx}[/tex]

[tex]x^y\left(\dfrac{\mathrm dy}{\mathrm dx}\ln x+y\dfrac{\mathrm d(\ln x)}{\mathrm dx}\right)=\ln(5)5^{x-y}\left(\dfrac{\mathrm d(x)}{\mathrm dx}-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]

[tex]x^y\left(\ln x\dfrac{\mathrm dy}{\mathrm dx}+\dfrac yx\right)=\ln(5)5^{x-y}\left(1-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]

[tex]\left(x^y\ln x+\ln(5)5^{x-y}\right)\dfrac{\mathrm dy}{\mathrm dx}=\ln(5)5^{x-y}-yx^{y-1}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\ln(5)5^{x-y}-yx^{y-1}}{x^y\ln x+\ln(5)5^{x-y}}[/tex]

Answer:

solve 1/3 (k - 9) = 1/3 k + 1/3 for k = (no solutions exist)

Step-by-step explanation:

Answer:

(-3,3)

Step-by-step explanation:

Answer: the picture is blocked

Step-by-step explanation:

Answer:

Permit fish=14 pounds if thats the question

Tarpon=154

Step-by-step explanation:

Answer:

X=15

Step-by-step explanation:

50−x=80−3x

Step 1: Simplify both sides of the equation.

50−x=80−3x

50+−x=80+−3x

−x+50=−3x+80

Step 2: Add 3x to both sides.

−x+50+3x=−3x+80+3x

2x+50=80

Step 3: Subtract 50 from both sides.

2x+50−50=80−50

2x=30

Step 4: Divide both sides by 2.

2x \2 = 30 \2

Answer:

x=15

Answer:

m=2x-40

y intercept = -40

Answer:

-0.80, -3/4, 0, 5/3, 2.5

Step-by-step explanation:

Step-by-step explanation:

Pen colors given  = Red and green

 Ratio;

         Green pen : Total pen

                4         :     11

Solution:

1. what fraction of heathers pens are green;

   Fraction = [tex]\frac{green pen}{total pen}[/tex]  = [tex]\frac{4}{11}[/tex]

2. Ratio of green pens to red pens:

     let the multiples = x

        Green pen   Red pen       Total pen

            4x                  ?                    11x

    Red pen  = 11x - 4x = 7x

Ratio of green pen to red pen:

            4 : 7

3. heather has 56 red pens. how many green pens does she have

   Number of red pen  = 56;

   Number of green pens = ?

     Since the ratio is;

          4 : 7

 Number of green pen = [tex]\frac{56 x 4}{7}[/tex]   = 32

Answer:

2.5

Step-by-step explanation:

Use the formula y2-y1 divided by x2-x1

Plug in the values: (7-2)/(6-4)

5/2

=2.5

Answer:

40 pages

Step-by-step explanation:

120 or 2 min x 2 = 4

20 x 2 = 40

Sorry I couldn't explain more, but I hope this helps!

Answer:

40 pages

Step-by-step explanation:

convert 4 mins -> 240 secs

then cross multiply 20/120 and x/240 (x represents the pages scanned)

u then get 120x=4800

simplify(divide)-> x=40

Answer:

4110 / 1 = 4110

4110 / 2 = 2055

4110 / 3 = 1370

4110 / 5 = 822

4110 / 6 = 685

4110 / 10 = 411

4110 / 15 = 274

4110 / 30 = 137

4110 / 137 = 30

4110 / 274 = 15

4110 / 411 = 10

4110 / 685 = 6

4110 / 822 = 5

4110 / 1370 = 3

4110 / 2055 = 2

4110 / 4110 = 1

Answer:

2,5,1,3,6,10,15,30,137

Answer:

okay now i get it its not easy at first but look at it for a bit and yoll get it

there is no picture :(

Answer:

C, A, D, B

Step-by-step explanation:

(a) We need to compare the sum of this series to 3/4 and 31/36.  So we just need to find the sum within 1/36.

1 / (n + 1 + 1)² ≤ 1/36

(n + 2)² ≥ 36

n + 2 ≥ 6

n ≥ 4

So we just need to find the partial sum of the terms from n=0 to n=4.

1 − 1/4 + 1/9 − 1/16 + 1/25 ≈ 0.839

We can use this to approximate the actual sum within 1/64.

(b) 1 − 1/7 + 1/49 − 1/343 + ...

We can rearrange this as the difference between two geometric series:

(1 + 1/49 + 1/2401 + ...) − (1/7 + 1/343 + 1/16807)

∑₀°° (1/49)ⁿ − ∑₀°° 1/7 (1/49)ⁿ

1 / (1 − 1/49) − (1/7) / (1 − 1/49)

(6/7) / (48/49)

7/8

So from smallest to largest, the answer is C, A, D, B.

Complete Question

You want to test whether salaries for male doctors are different from salaries for female doctors, using a random sample of 100 male and 100 female doctors. The statistical test you should use is

a. t-Test: Two-Sample Assuming Equal Variances

b. t-Test: Two-Sample Assuming Unequal Variances

c. z-Test: Two Sample for Means

d. t-Test: Paired Two Sample for Means

Answer:

The correct option is  C

Step-by-step explanation:

From the question we can see that

    The  salaries for male doctors is independent of The  salaries for female doctors

 Hence the samples obtained from both populations are independent

Also  both of the random samples are sufficiently large.

So given that the samples are independent and sufficiently large then the best statistical test to use is  z-Test: Two Sample for Means

Answer:

4/5= 0.8

2/3= 0.66666666667

Step-by-step explanation:

Answer:

I don't get this..

Step-by-step explanation:

Answer:  D. y = 4x + 9

Step-by-step explanation:

Substitute the values of y and x from the given coordinate into the slope-intercept form using the given slope. Then solve for b

y = mx + b       Given:  Slope = 4   Coordinate (-2, 1)

1 = 4(-2) + b

1 = -8 + b     add +8 to both sides,  "cancels" -8 on right

1+ 8 =  b

9 = b       Rewrite equation using  original slope and calculated b

y = 4x + 9

Answer:

2.4 cm

Step-by-step explanation:

i hope that I helped you.

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