evaluate this expression 5+3(8-2)

Answer:

The answer is "16, 43, and 96".

Step-by-step explanation:

Given:

[tex]\sigma = 0.20\\\\c = 95\% = 0.95\\\\\therefore \alpha = 1- c = 1- 0.95 = 0.05\\\\\therefore \frac{\alpha}{2} = 0.025\\\\[/tex]

Using Z table:

[tex]\therefore Z_{\frac{\alpha}{2}} = 1.96\\\\[/tex]

For point a:

[tex]E = 0.10\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.10})^2\\\\= 15.3664 \approx 16[/tex]

so, The Sample size (n) = 16

For point b:

[tex]E = 0.06\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

   [tex]= (\frac{(1.96\times 0.20)}{0.06})^2\\\\= 42.6844444444\approx 43[/tex]

For point c:

[tex]E = 0.04\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.04})^2\\\\= 96.04\approx 96[/tex]

Answer:

(1/2)z

Step-by-step explanation:

Answer:

D. 144

Step-by-step explanation:

find the volume of the shipping container and divide it by the volume of a box.

[tex]2\frac{2}{3}[/tex] × [tex]1[/tex] × [tex]2[/tex] = [tex]\frac{16}{3}[/tex]

[tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{27}[/tex]

[tex]\frac{16}{3}[/tex] divided by [tex]\frac{1}{27}[/tex] is 144.

Answer:

Number of biscuit needs = 28 packets

Number of Pemmican needs = 18 packets

Number of Butter cocoa needs = 4 packets

Step-by-step explanation:

GIven:

Total calorie required = 5,600 calories

Biscuits 80 (Calorie per packet) 40% of total diet

Pemmican 140 (Calorie per packet) 45% of total diet

Butter cocoa 210 (Calorie per packet) 15% of total diet

Find:

Number of biscuit, Pemmican and butter cocoa need

Computation:

Number of biscuit needs = [5,600(40%)]/80

Number of biscuit needs = [2,240]/80

Number of biscuit needs = 28 packets

Number of Pemmican needs = [5,600(45%)]/140

Number of Pemmican needs = [2,520]/140

Number of Pemmican needs = 18 packets

Number of Butter cocoa needs = [5,600(15%)]/210

Number of Butter cocoa needs = [840]/210

Number of Butter cocoa needs = 4 packets

Answer:

mu = the population true mean time spent by teenagers playing computer game this year

Step-by-step explanation:

Dear student, there is no much information given to answer this question but we will try as much as possible to explain  (what is the parameter) of the true mean.

In 1990s;

μ = 10.2 hours/week

From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.

In this situation, the population parameter is the population true mean mu = the population true mean.

Answer:

log(16)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

log(64) - log(128) + log(32)

Step 2: Condense

Answer:

y intercept: [tex]y = 1[/tex]

x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]

Step-by-step explanation:

Given

The attached graph

Solving (a): The y intercepts

This is the point where [tex]x = 0[/tex]

From the attached graph, [tex]x = 0[/tex] when

[tex]y = 1[/tex]

Hence, the y intercept is 1

Solving (b): The x intercepts

This is the point where [tex]y = 0[/tex]

From the attached graph, [tex]y = 0[/tex] when

[tex]x = -1[/tex] and [tex]x = -3[/tex]

Hence, the x intercept are -1 and -3

in 12 key 5 black keys are appearing so consider x key will appear in 120 keys

120/x = 12/5

solving further,

x= 50

Answer - If the pattern shown continues, 50 black keys appear on a pipe organ with a total of 120 keys!

9514 1404 393

Answer:

  xy ≈ 2.3

Step-by-step explanation:

Logarithms can be used to find x and y.

  3^x = 4

  x·log(3) = log(4)

  x = log(4)/log(3)

__

 4^y = 12

  y = log(12)/log(4)

__

Then xy is ...

  xy = log(4)/log(3) × log(12)/log(4) = log(12)/log(3)

  xy ≈ 1.079/0.477

  xy ≈ 2.26

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.425 or 5.4

Step-by-step explanation:

hope this helps :)

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.4

Step-by-step explanation:

you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.

Answer:

what is the question?

Step-by-step explanation:

Answer:

i answered

Step-by-step explanation:

Answer:

The distance between the two towns is of 1000 km.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

3 cm represents a distance of 400 km.

What is the distance represented by 7.5 cm?

3 cm - 400 km

7.5 cm - x km

Applying cross multiplication:

[tex]3x = 400*7.5[/tex]

[tex]x = \frac{400*7.5}{3}[/tex]

[tex]x = 1000[/tex]

The distance between the two towns is of 1000 km.

Answer:

Area = 14¹/16 yd² or 14.0625 yd²

Step-by-step explanation:

2. The figure given is a square having equal sides of 3¾ yd each.

Formula for area of the square = a²

Where,

a = 3¾ yd

Plug in the value into the equation:

Area = (3¾)²

Change to improper fraction

Area = (15/4)²

Area = 225/16

Area = 14¹/16 yd² or 14.0625 yd²

Answer:

5164

Step-by-step explanation:

Answer: 576

Step-by-step explanation:

4x4x4x4 = 256

10+ 256 +22

288 divided by 4/8

576

Answer:

The answer is A=2/9 yards²

Step-by-step explanation:

The formula for a rectangle  is A=B x H  

So the equation is A= 1/3 yards x 2/3 yards  

I suppose this is right.

Answer:

Step-by-step explanation:

$39

The net worth should be considered as the $39.

We know that

Net worth = Total assets - total liabilities

here,

total assets = checking & savings + baseball card + check for work done

= $275 + $210 + $19

= $504

And, the total liabilities = owe + borrowed

= $415 + $50

= $465

So, the net worth be

= $504 - $465

= $39

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Answer:

= 3/5(x) + 3/5(x) + 2/5

= 6/5(x) + 2/5

= 2/5 (3x+1)

Step-by-step explanation:

Answer:  [tex]\frac{6}{5}x + \frac{2}{5}[/tex]

This is the same as writing  (6/5)x + 2/5

===================================================

Explanation:

Ignore the fraction [tex]\frac{2}{5}[/tex] for now.

The other terms will combine together since they are like terms. We'll add those terms to get:

[tex]\frac{3}{5}x+\frac{3}{5}x\\\\\left(\frac{3}{5}+\frac{3}{5}\right)x\\\\\frac{3+3}{5}x\\\\\frac{6}{5}x\\\\[/tex]

Then we tack on the [tex]\frac{2}{5}[/tex] we ignored earlier to get the final answer of [tex]\frac{6}{5}x+\frac{2}{5}[/tex]

Answer:

1/2

Step-by-step explanation:

See the steps below:)

Answer:

1 billion

Step-by-step explanation:

there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.

Working out:

7 -6=1

Answer:

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

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: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

[tex]P(A) = \frac{200}{1500}[/tex]

Probability of selecting a high school student who swims:

Of the 1500 students, 45 are high school students who swim. So

[tex]P(A \cap B) = \frac{45}{1500}[/tex]

What is the probability that a high school member selected at random is on the swim team?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Answer:

4x7

Step-by-step explanation:

4x7=28

4+4+4+4+4+4+4=28

--Answer--

4 x 7 = 28

4 + 4 = 8 <- x 3 + 4 = 28

or splitting it up in some way.

Answer:

(d) above [tex]74.1^o[/tex]

Step-by-step explanation:

Given

[tex]\tan w = 3.52[/tex]

Required

Determine w, using a calculator

We have:

[tex]\tan w = 3.52[/tex]

Take arctan of both sides

[tex]w = \tan^{-1}(3.52)[/tex]

Using a calculator, we have:

[tex]w \approx 74.1^o[/tex]

From the given options, (d) is true

Answer:

89.38

Step-by-step explanation:

65 times 0.125 = 8.125

65 times 0.25 = 16.25

16.25 plus 8.125 plus 65 = 89.38 dollars

Answer:

It would be 4.08, so Ani is wrong writing it as 4.8.

Step-by-step explanation:

So, with this, the number 4 is 4, a single-digit number. Anything below that has a decimal point before it. With the knowledge of there being 8 hundredths, first see this diagram explaining the terms for numbers after the decimal point:

0.1 --> 1 Tenth

0.01 --> 1 Hundredth

0.001 ---> 1 Thousandth

With this, we can see that it will be something of the likes of 4.01-4.09. Since there are 8 Hundredths, it would be 4.08, as 0.01 * 8 = 0.08.

Therefore, she is wrong because she wrote it as 4 and 8 tenths rather than 4 and 8 hundredths.

Answer: 18.5 inches

Step-by-step explanation:

The total snowfall that the students received at their school that winter will be the addition of the snowfall for each month and this will be:

= December snowfall + January snowfall + February snowfall

= 4.2 + 8.9 + 5.4

= 18.5

The total snowfall is 18.9 inches.

The value of the probability P(A or B) is 0.77

The given parameters are:

P(A) = 0.64

P(B) = 0.25

P(A and B) = 0.12

The probability is then calculated as

P(A or B) = P(A) + P(B) - P(A and B)

Substitute the known values in the above equation

P(A or B) = 0.64 + 0.25 - 0.12

Evaluate the like terms

P(A or B) = 0.77

Hence, the value of the probability P(A or B) is 0.77

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Answer:

871 and 1/2 ft.  

Answer:

The answer is 6.32

Step-by-step explanation:

According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.

CD= Altitude

CD^2= 4 times 10

or

CD= The square root of 4 times 10

Square root of 4 times 10 is 6.3245553203

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

In ΔBDC and ΔABC, the two angles are given,

∠D = ∠C = 90°

∠B = ∠B {Common}

Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,

CB / AB = CD / AC = DB / CB

Now, the ratio can be solved as,

CB / AB = DB / CB

CB / 14 = 10 / CB

CB² = 14 × 10

CB = √140

Further, in triangle ABC using the Pythagorean theorem, we can write,

AB² = CB² + AC²

14² = (√140)² + AC²

196 - 140 = AC²

AC = √56

Again, using the ratio of the similar triangle, we can write,

CD / AC = DB / CB

CD / √56 = 10 / √140

CD = (√56 × 10)/√140

CD = 6.32 units

Hence,  the length of CD is 6.32 units.

Learn more about Similar Figures:

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Answer:

the number is -47..

Step-by-step explanation:

let the number be'x'

hope it helps.

[tex]\huge\bold{Given :}[/tex]

✎ Sum of two numbers = -43

✎ One of the number = 4

[tex]\huge\bold{To\:find :}[/tex]

✿ The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]