Solve for x Round to the nearest tenth, if necessary.

Answer:

there's many! three examples of equivalent fractions to 1/3 are: 3/9 9/27. and 27/81

Hope that helps!

Answer:

28.6 units

Step-by-step explanation:

44/36=35/YZ

44 YZ = 35*36

44 YZ = 1260

YZ = 28.6 units

9514 1404 393

Answer:

  c.  1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

  A = bh

  A = (50 units)(23 units) = 1150 units²

__

Additional comment

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.

Answer:

1/4 of a circle is less

Step-by-step explanation:

1/4=90°

1/3=120°

Answer:

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

Step-by-step explanation:

Testing  hypothesis about a population proportion when sample size is large.

If the sample size is large then the variable

z= p^-p / sqrt [pq/n]

is approximately standard normal.

Formulate the hypotheses as

H0 : p < 30%   against the claim Ha: p ≥ 30%

Choose the significance level ∝= 0.05

the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater  than or equal to basis.

Computing

Z= 748-(2778*0.3)/ √2778*30/100*70/100

z= 748-833.4/√583.38

z= -85.4/24.153

z=-3.5357

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

The p- value is 0.0002

For any positive numbers a, b, and d, with b ≠ 1, [tex]d*log_ba=lob_ba^d[/tex]

An equation is an expression that shows the relationship between two or more numbers and variables.

Given:

[tex]d*log_ba\\\\Using\ law\ of\ logarithms:\\\\d*log_ba=lob_ba^d[/tex]

For any positive numbers a, b, and d, with b ≠ 1, [tex]d*log_ba=lob_ba^d[/tex]

Find out more on equation at: https://brainly.com/question/2972832

Answer: 3

Step-by-step explanation:

Given

The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]

Using completing the square method

[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]

on comparing with standard form,  [tex]r^2=k+13[/tex]

Insert the value of r

[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]

Answer:

x=3, y=3√2

Step-by-step explanation:

This is a right isosceles triangle, so the sides of the main vertex are equal, so x=3

Using Pythagorean theorem:

y²=3²+3²=9+9=18

y=√18=3√2

Answer:

b=2.5-7.50

Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.

Answer:

a. 880

Step-by-step explanation:

Options are "a. 880 b. 90 c. 790 d. None of these choices"

Interval estimate of between 790 and 970 books checked out per day.

Lower limit is 790, Upper limit is 970

Point estimate of μ(x) = [Upper limit + Lower limit} / 2

Point estimate of μ(x) = [970 + 790] / 2

Point estimate of μ(x) = 1760/2

Point estimate of μ(x) = 880

So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.

Answer:

Look at the image.

Step-by-step explanation:

Answer:

19  dimes and  15  quarters.

Step-by-step explanation:

Lets substitute in the equation

565=10x+25(34-x)

565=10x+850-25x

15x=285

x=19

So...

34-19=15

Answer:

Step-by-step explanation:

 108 students

----------------------- = 18 students per teacher

     6 teachers

Answer:

Aproximatly 18 students for each teacher

Step-by-step explanation:

108/6 is 18

Answer:

Step-by-step explanation:

Data could exists in several different forms which often dictates if the data can be used directly in its raw format or if it requires conversion to another format. The nature of data is often very robust. Some data may occur as numeric and have meaning in terms of addition and other statistical properties; however some are only dummy and are restricted to (0's and 1's). Similarly, some may be used to show rank or depth and as such have no meaning while trying to perform Mathematical calculation. Therefore, choosing statistical summaries for the data sivj as the. Mean, median and mode will depend on the input, binary data cannot be summarized using the median or mean except the use of a modal score. While the presentation of the data using graphs also rewired that the nature of the data be considered before selecting a suitable chart (linen, bar, dot, pie and so on).

Answer:

[tex]k = 31[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]

[tex]r = -10[/tex] --- remainder

[tex]d = 2x + 1[/tex] --- divisor

Required

Find k

We have:

[tex]d = 2x + 1[/tex] --- divisor

Equate to 0

[tex]2x + 1 = 0[/tex]

Solve for x

[tex]2x = -1[/tex]

[tex]x =-0.5[/tex]

This means that:

[tex]f(-0.5)=-10[/tex]

So, we have:

[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]

[tex]0.5 -0.5k + 5 =-10[/tex]

Collect like terms

[tex]-0.5k=-10-5-0.5[/tex]

[tex]-0.5k=-15.5[/tex]

Solve for k

[tex]k = -15.5/-0.5[/tex]

[tex]k = 31[/tex]

Answer:

1 Pm

Step-by-step explanation:

Answer:

3:18 Pm

Step-by-step explanation:

Nice picture of mute button

Answer: 1/8 of her garden

1/8 of her garden is dedicated to each type of flower.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given

part of stella's garden has flowers = 3/4

types of flowers = 6

fraction of her garden is dedicated to each type of flower = 3/4 / 6 = 3/4 *1/6 = 3/24 = 1/8.

To learn more about fractions refer to:

https://brainly.com/question/78672

#SPJ2

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

Answer: 5.54

Step-by-step explanation: khan said it was correct

Answer:

0.0097 = 0.97% probability that it is defective

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Product is shipped.

Event B: It is defective.

Probability of the product being shipped:

100 - 10 = 90% of 85%(not defective).

5% of 100 - 85 = 15%(defective). So

[tex]P(A) = 0.9*0.85 + 0.05*0.15 = 0.7725[/tex]

Probability of being shipped and being defective:

5% of 15%. So

[tex]P(A \cap B) = 0.05*0.15 = 0.0075[/tex]

What is the probability that it is defective?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0075}{0.7725} = 0.0097[/tex]

0.0097 = 0.97% probability that it is defective

Answer - 40

----------

100 - 4

96 - 8

88 - 16

72 - 32

a. n =17

b. n =23

c. n = 9

d. n = 15

Answer:

(a)  n = 17

(b)  n = 23

(c)  n = 9

(d)  n = 15

Step-by-step explanation:

Sum of the first n terms of an arithmetic series:

[tex]\boxed{S_n=\dfrac{n}{2}(a+a_n)}[/tex]

where:

[tex]\displaystyle \sum^n_{i=1}(3i+5)=544[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=3(1)+5=8[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=3n+5[/tex]

Substitute the values of a, aₙ and Sₙ into the arithmetic series formula and solve for n:

[tex]\begin{aligned}S_n & =\dfrac{n}{2}(a+a_n)\\ \implies 544&=\dfrac{n}{2}(8+3n+5)\\1088&=n(3n+13)\\1088&=3n^2+13n\\3n^2+13n-1088&=0\\3n^2-51n+64n-1088&=0\\3n(n-17)+64(n-17)&=0\\(n-17)(3n+64)&=0\\\\n-17&=0 \implies n=17\\3n+64&=0 \implies n=-\dfrac{64}{3} \end{aligned}[/tex]

As n is positive, n = 17.

[tex]\displaystyle \sum^n_{i=1}(-4i-1)=-1127[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=-4(1)-1=-5[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=-4n-1[/tex]

Substitute the values of a, aₙ and Sₙ into the arithmetic series formula and solve for n:

[tex]\begin{aligned}S_n & =\dfrac{n}{2}(a+a_n)\\ \implies -1127&=\dfrac{n}{2}(-5-4n-1)\\-2254&=n(-4n-6)\\-2254&=-4n^2-6n\\4n^2+6n-2254&=0\\2n^2+3n-1127&=0\\2n^2-46n+49n-1127&=0\\2n(n-23)+49(n-23)&=0\\(2n+49)(n-23)&=0\\\\2n+49&=0 \implies n=-\dfrac{49}{2}\\n-23&=0 \implies n=23 \end{aligned}[/tex]

As n is positive, n = 23.

[tex]\displaystyle \sum^n_{i=5}(7+12i)=455[/tex]

[tex]\boxed{\displaystyle \sum _{i=m}^n\:=\:\sum _{i=1}^n\:-\:\sum _{i=1}^{m-1}}[/tex]

Therefore:

[tex]\displaystyle \sum^n_{i=1}(7+12i)-\sum^{4}_{i=1}(7+12i)=455[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=7+12(1)=19[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=7+12n[/tex]

To find a₄ substitute i = 4 into the equation:

[tex]\implies a=7+12(4)=55[/tex]

Therefore:

[tex]\begin{aligned}\displaystyle \sum^n_{i=1}(7+12i)-\sum^{4}_{i=1}(7+12i)&=455\\\dfrac{n}{2}(19+7+12n)-\dfrac{4}{2}(19+55)&=455\\\dfrac{n}{2}(12n+26)-148&=455\\ \dfrac{n}{2}(12n+26)&=603\\6n^2+13n&=603\\6n^2+13n-603&=0\\ 6n^2-54n+67n-603&=0\\6n(n-9)+67(n-9)&=0\\(6n+67)(n-9)&=0\\\\6n+67&=0 \implies n=-\dfrac{67}{6}\\n-9&=0 \implies n=9\end{aligned}[/tex]

As n is positive, n = 9.

[tex]\displaystyle \sum^n_{i=3}(-3-4i)=-507[/tex]

[tex]\boxed{\displaystyle \sum _{i=m}^n\:=\:\sum _{i=1}^n\:-\:\sum _{i=1}^{m-1}}[/tex]

Therefore:

[tex]\displaystyle \sum^n_{i=1}(-3-4i)-\sum^{2}_{i=1}(-3-4i)=-507[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=-3-4(1)=-7[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=-3-4n[/tex]

To find a₂ substitute i = 2 into the equation:

[tex]\implies a=-3-4(2)=-11[/tex]

Therefore:

[tex]\begin{aligned}\displaystyle \sum^n_{i=1}(-3-4i)-\sum^{2}_{i=1}(-3-4i)&=-507\\\dfrac{n}{2}(-7-3-4n)-\dfrac{2}{2}(-7-11)&=-507\\\dfrac{n}{2}(-4n-10)+18&=-507\\-2n^2-5n&=-525\\2n^2+5n-525&=0\\ 2n^2-30n+35n-525&=0\\2n(n-15)+35(n-15)&=0\\(2n+35)(n-15)&=0\\\\2n+35&=0 \implies n=-\dfrac{35}{2}\\n-15&=0 \implies n=15 \end{aligned}[/tex]

As n is positive, n = 15.

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3/2)x - 2  

hope it helps

Possible asks from the question?!

Answer:

y^3 - 9y^2 + 26y - 29

Step-by-step explanation:

y - 4[y - 3(y - 2)] - 5

I'm going to separate it into parts

(y - 3)(y - 2)

y^2 - 5y + 6

(y - 4)(y^2 - 5y + 6)

y^3 - 5y^2 + 6y - 4y^2 + 20y - 24

y^3 - 9y^2 + 26y - 24

y^3 - 9y^2 + 26y - 24 - 5

y^3 - 9y^2 + 26y - 29

Answer:

i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php

Step-by-step explanation:

c because -t=-r/-s equals -t=r/s