Solve the system by substitution

Same strategy as before: transform X ∼ Normal(76.0, 12.5) to Z ∼ Normal(0, 1) via

Z = (X - µ) / σ   ↔ X = µ + σ Z

where µ is the mean and σ is the standard deviation of X.

P(X < 79) = P((X - 76.0) / 12.5 < (79 - 76.0) / 12.5)

… = P(Z < 0.24)

… ≈ 0.5948

Answer:7ft

Step-by-step explanation:

i got it right

Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.

Images has been attached showing 3/4 of the shapes are squares.

Given that,
To draw a set of shapes where 3/4 of the shapes are squares.​

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4

Thus, Images has been attached showing 3/4 of the shapes are squares.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ2

Answer:You have roughly the same chance of being called as anyone else living in the United States who has a telephone. This chance, however, is only about 1 in 154,000 for a typical Pew Research Center survey. To obtain that rough estimate, we divide the current adult population of the U.S. (about 235 million) by the typical sample size of our polls (usually around 1,500 people). Telephone numbers for Pew Research Center polls are generated through a process that attempts to give every household in the population a known chance of being included. Of course, if you don’t have a telephone at all (about 2% of households), then you have no chance of being included in our telephone surveys.

Step-by-step explanation:

Answer:

V = 125 in^3

Step-by-step explanation:

A cube has 6 sides, and the area of each is equal to the side length squared:

A = 6x^2

A is given as 150 cm^2, and so is equal to 6x^2.  Thus, x = the side length = 5 cm.

The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3

Answer:

Adults =58, Students=92

Step-by-step explanation:

Answer:

375

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

y geometric mean property,n² = 28 × 7 = 196n = 14.By pythagorean

Step-by-step explanation:

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

As written, we must interpret your equation as ...

  [tex]\dfrac{3}{x}-2=\dfrac{1}{x}\\\\\dfrac{2}{x}=2\qquad\text{add $2-\dfrac{1}{x}$}\\\\x=\dfrac{2}{2}=1\qquad\text{multiply by $\dfrac{x}{2}$}[/tex]

The value of x is 1.

4000

by using pythagoras theorem h^2=p^2+b^2

Answer:

a. $311,555.26

b. $500,000

c. $188,444.74

Step-by-step explanation:

The computation is shown below:

a. Here we have to determine the present value

Given that

PMT = $25,000

NPER = 20

RATE = 5%

FV = $0

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

after applying the above formula, the amount that need in the beginning is $311,555.26

b. The total money should be

= $25,000 × 20 years

= $500,000

c. The amount of interest is

= $500,000 - $311,555.26

= $188,444.74

Answer:

[tex]Range= \{1,-4,-19\}[/tex]

Step-by-step explanation:

Given

[tex]f(n) = -4n - 3[/tex]

[tex]n = \{-1,1/4,4\}[/tex] --- domain

Required

Determine the range

To do this, we simply substitute the values of n in the given expression

So, we have:

[tex]n = -1[/tex]

[tex]f(-1) = -4 * -1 - 3 =4 - 3 = 1[/tex]

[tex]n = 1/4[/tex]

[tex]f(-1) = -4 * 1/4 - 3 =-1 - 3 = -4[/tex]

[tex]n=4[/tex]

[tex]f(-1) = -4 * 4 - 3 =-16 - 3 = -19[/tex]

Hence, the range is:

[tex]Range= \{1,-4,-19\}[/tex]

Answer:hewwo I’m in school sorry for not talking to you

Step-by-step explanation:

Answer:

the answer is x=10

add 29+1=30

90-30=60

60÷6=10

Step-by-step explanation:

sorry i am unable to understand what it is asking but if you inform me more i would love to help

9514 1404 393

Answer:

  x = y = (√10)/2

Step-by-step explanation:

In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.

  x = y = (√5)(√2)/2

  x = y = (√10)/2

Answer:

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Answer:

[tex] 158.256 \: {cm}^{3} [/tex]

Step-by-step explanation:

For cylindrical jar:

Diameter = 6 cm

Radius (r) = 6/2 = 3 cm

Height (h) = 8 cm

[tex]V_{cylindrical \: jar} = \pi {r}^{2} h \\ \\ = 3.14 \times {(3)}^{2} \times 8 \\ \\ = 3.14 \times 72 \\ \\ = 226.08 \: {cm}^{3} \\ \\ \because \: jar \: is \: filled \: upto \: 70 \% \\ \\ \therefore \: V_{jam} = 70 \% \: of \: V_{cylindrical \: jar} \\ \\ \therefore V_{jam} = 0.70 \times 226.08 \\ \\ \therefore V_{jam} = 158.256 \: {cm}^{3} [/tex]

[tex]{\red\star}\:{\underline{\underline{\mathfrak{\purple{hello}}}}}\:{\red\star}[/tex]

[tex]140x = 8400[/tex]

[tex] \frac{140x}{140} = \frac{8400}{140} [/tex]

[tex]x = 60[/tex]

Our answer is 60.

Good luck.

Answer:

140 x X =8400

X=8400/140

X= 60

140 x 60 =8400

Answer:

The answer is 13.

Step-by-step explanation:

Angle ABC and PQR are equivalent, although angle PQR is just scaled down by a factor of 9. Line CA is 54, line PR is 6, 54/6=9. So, line PQ has to be equal to 9 because 81/9=9.  So you input all values into the expression until you get the product of 9.

Work: 2(13)-17=9, so 13 is your answer.

Answer:

a) A sample of 198 must be drawn.

b) Smaller, because the confidence level is smaller.

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.291.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1?

This is n for which M = 4.1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4.1 = 3.291\frac{17.5}{\sqrt{n}}[/tex]

[tex]4.1\sqrt{n} = 3.291*17.5[/tex]

[tex]\sqrt{n} = \frac{3.291*17.5}{4.1}[/tex]

[tex](\sqrt{n})^2 = (\frac{3.291*17.5}{4.1})^2[/tex]

[tex]n = 197.3[/tex]

Rounding up:

A sample of 198 must be drawn.

(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller?

We have that:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Solving for n

[tex]\sqrt{n} = \frac{z\sigma}{M}[/tex]

That is, n and z are directly proportion, meaning that a higher value of z(higher confidence level) leads to a higher sample size needed.

95% < 99.9%, so a smaller confidence interval.

Smaller, because the confidence level is smaller.

Answer:

25/256

Step-by-step explanation:

(5/16) / (3 1/5)

(5/16) / (16/5)

(5/16) * (5/16)

5*5 / 16*16

25/256

Answer:

13.5

Step-by-step explanation:

I am not 100% sure but I really hope this helps you.

Answer:

f(-5) = 25

f(0) = -2

f(5) = 16

Step-by-step explanation:

Given the functions;

To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero

at where x < 0, f(x) = x^2

f(-5) = (-5)^2

f(-5) = 25

b) For f(0), where the point where x = 0, f(x)= -2

Hence the value of f(o) = -2

c) For f(5), the function where x > 5 is f(x) = 2x+6

f(x) = 2x+6

f(5) = 2(5)+6

f(5) = 16

Answer:

x > -5

Step-by-step explanation:

You multiply both sides by -1

Simplify

Divide both sides by 5

Simplify

Subtract 7 from both sides

Simplify

Please give me BRAINLIEST and THANKS lol <(￣︶￣)>

Answer:

I think it is 864000 seconds

Answer:

864000 seconds

Step-by-step explanation:

1 day=24hrs

so, 10 days= 24×10=240hrs

1 hour= 60 mins

240hrs= 60×240=14400mins

1 min=60 secs

14400mins= 60×14400=864000seconds