1.
What is the solution?
y
3
-3-2-1
2 3x
O (1,2)
O (1,-1)
O 1
02

Answer:

B

Step-by-step explanation:

Do 115000/100x6.5    You get 7.475k

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we need to rewrite this part word problem completely into numbers

2⁴ ÷ [(3.35 × 0.8) + 5.32]

Now we must solve. Remember to do parenthesis first.

3.35 × 0.8 = 2.68

2.68 + 5.32 = 8

Now we need to find the value of 2⁴

2⁴ = 2 × 2 × 2 × 2 = 16

Finally we need to divide 16 by 8

16 ÷ 8 = 2

So our final answer is 2

Answer:

3,378.70

Step-by-step explanation:

First, find the total amount Henry spends a month. 25.30 for printer ink and 52 for advertising. 25.30+52=$77.30.

Subtract what he has spent from what he has made.

3,456-77.30=3,378.70

That is his profit.

Answer:

[tex]P(Green\ or\ Red) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]White = 40[/tex]

[tex]Green = 24[/tex]

[tex]Red = 12[/tex]

[tex]Yellow = 24[/tex]

[tex]Blue = 20[/tex]

Required

[tex]P(Green\ or\ Red)[/tex]

The total numbe of candy is:

[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]

[tex]Total = 120[/tex]

This probability is calculated as:

[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]

For each, we have:

[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]

Take LCM

[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]

[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]

[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]

[tex]P(Green\ or\ Red) = 0.30[/tex]

Answer:

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

Sample of 35:

This means that [tex]n = 35, s = \frac{17}{\sqrt{35}}[/tex]

What is the probability of having a sample mean of 116.8 or less for a random sample of this size?

This is the pvalue of Z when X = 116.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}[/tex]

[tex]Z = -0.42[/tex]

[tex]Z = -0.42[/tex] has a pvalue of 0.3372

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Answer:

The volume of the tissue is 42 cubic inches

Step-by-step explanation:

Given

[tex]Base\ Area = 8.4in^2[/tex]

[tex]Height = 5in[/tex]

Required

The volume of the tissue

This is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

So, we have:

[tex]Volume = 8.4in^2 * 5in[/tex]

[tex]Volume = 42in^3[/tex]

Answer:

121 donuts in each box

Step-by-step explanation:

969 divided by 8 = 121.125

(Ignore the remainder)

Step by step solution:

We know that there are 969 doughnuts, and there are 8 doughnuts per box. What we need to find out is how many boxes of doughnuts were made.

Step 1:

Set up an equation for Number of doughnuts (969) / Number of doughnuts per box (8) = Number of boxes made (x), which would look like this:

969/8 = x

Step 2:

Doing this, we can get 121.125, which leaves us with

121.125 = x

121.125 = 121.125

Which gives us the answer of 121.125, which we can shorten to 121, as the decimal is not necessary.

Checking our answer:

We can check our answer simply be rewording our 1st equation to solve for the number of doughnuts made. This would give us the equation Number of doughnuts per box (8) * Number of boxes made (121.125) = x. Solving this equation would look like

8 * 121.125 = x

969 = x

969 = 969

Answer: By completing the steps above we get 121, and we can check our work by rewording the problem to solve for the number of Doughnuts. Good Luck!

Answer:

12% of 36 is 4.32

Answer:

we can substract the power 4 by taking up with 15 because using indices rule

the answer would be B. I used m a th way to find out what the answer was, you could use that app if you ever come across a similar question!

Answer:

approximately 2.44 per hour, and 175.92 per day

Step-by-step explanation:

We can use 7.33 as 7 and 1/3rd.

If you take 7.33 and divide by 3, representing 3 hours, it equals 2.44333333.

If you round this to the nearest hundredth, you get the answer 2.44

For each day, you take the original number, 7.33, and multiply it by 8 to assume that the trip was 24 hours.

7.33 * 24 = 175.92.

Answer:

Step-by-step explanation:

Answer:

0.2 ; 100 ; 4.84

Step-by-step explanation:

Given that the probability of each of the 5 groups is the same :

Sum of probability = 1

Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2

Expected number for each interval for a sample of 500 : ; X = 500

E(X) = X * P(x) = 500 * 0.2 = 100

Goodness of fit (X²) :

X² = Σ(X - E)² ÷ E

Groups :

113, 95, 108, 99, and 85

X : 113 ____ 95 ____ 108 ____ 99 _____ 85

(113 - 100)^2 / 100 = 1.69

(95 - 100)^2 / 100 = 0.25

(108 - 100)^2 / 100 = 0.64

(99 - 100)^2 / 100 = 0.01

(85 - 100)^2 / 100 = 2.25

(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84

Answer:

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

MEAN and 10.90

this is the answer i got u guys PLZ LIKE THIS so i can get my level up

8ft

hope this helps, have an amazing day <3

Answer:8

Step-by-step explanation:

8x8=64

The slope of the given line d = 7t is 7 kilometers per hour. Then the correct option is A.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Each evening, Billy jogs around the high school track at a constant rate.

The following equation describes the relationship between t, the time he jogs in hours, and d, the distance he jogs in kilometers.

d = 7t

The slope of the line will be 7,

Then graph A is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

[tex]p = \frac{k}{q^2}[/tex]

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

[tex]p = \frac{k}{q^2}[/tex]

[tex]25 = \frac{k}{3^2}[/tex]

[tex]k = 25*9 = 225[/tex]

So

[tex]p = \frac{225}{q^2}[/tex]

Determine p when q is equal to 5.

[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]

p = 9 when q = 5.

Answer:

36/52 or 9/13

Step-by-step explanation:

Ace-9 for all suits; Diamond, Hearts, Spades and Clubs

Answer:

he needs to increase the length to 17 feet

Step-by-step explanation:

[tex]12 \times 7 \\ = 84 \\ to \: get \: {119}^{2} feet \: he \: must \: say \: \\ 119 \div 7 \\ = 17 \\ = 17 \times 7 = 119 \\ [/tex]

Answer:

28

Step-by-step explanation:

f58t85h85y8578

Answer:

53092.92 square inches

Step-by-step explanation:

Surface Area of a Sphere = 4πr2

Radius = ½D = 130÷2 = 65

4 × 3.14 × 65² = 53092.92

Answer:

1:6

Step-by-step explanation:

24 and 144 are divisible by 6. Do the math, it comes out as 1:6.

24:144 = 1:6

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

Learn more about direct variation here:

https://brainly.com/question/29150507

#SPJ2

Answer:

B. A square

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)  

The given angle is 57°   at least I think it is .  so we need to look at the triangle being formed inside the circle.   the legs from the center to the edge are both the radius. so they are the same lengths.   so that triangle is an isosceles.  and the two angle at the circles perimeter are going to be both the same, b/c that's a rule of an isosceles triangle.   so now we not both angles on the perimeter of the circle of that inner triangle are both 57°  :)  that's great, b/c now we can find the angle of the inner point of that triangle.   it's going to be  180 = 57 + 57 +  inner angle x  

180 - 57 -57  = inner angle x

66 = x    , so that inside angle on the isosceles is 66°  

that's great to know, that angle is also part of the bigger triangle that goes outside the circle and I'm pretty sure the angle that is at the top of the triangle , at least in the picture,  is a right angle or 90° sooo we now know two angle of the triangle and can figure our the  "?"  one.  :)

180 = 66 + 90 + ?

180-66-90 = ?

24 = ?

so that angle at the point with the "?" is 24 °  :)

2)

The given angle is 24°  :0   look above.. that last we we solved was also 24°

everything is the same in drawing 2, as in drawing 1.   We can simply use all the things we know about drawing 1..    The inside angle at the center of the circle will be 66 °  and the two angle out by the perimeter of the circle will be 57° just like in drawing 1.     They made that a little too easy  :D  Le'ts hope we get a few more like that  :)

3)

I'm just sure why the drew the circle in this drawing.  we don't need it to solve this triangle.  Maybe  you're not supposed to use this very common way to solve the triangle yet?   but maybe it's good to introduce it anyway?  since we are given the hypotenuse (long side) and the adjacent side (next to)  the angle we can just use SOH CAH TOA to find any angle or side of this triangle.    I'll put the useful remind of how trig functions ( sin, cos, ect.) fit on triangles and then we'll use them to find the parts we want. :)

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above down.  and put in in a handy place on your computer , for quick reference any time you have to solve a triangle.  it's really super helpful :)

okay now look at the triangle in question 3)  what do we know, and what do we want to find?   we know the Hyp and Adj and one angle and want to find the Opposite  (Opp) side from the known angle.  sooo we have a choice of SOH or TOA.. let's use SOH,  

SOH ⇒ Sin(Ф) = Opp / Hyp

Sin(53) = Opp/ 10

algebra skill engage :P

10* Sin(53) = Opp

7.9863551 = Opp  

so that side with the question mark is 8.0  long. ( rounded to nearest 10th)

4)

On this triangle we are given the Opp and the Adj sides and an angle and are asked to find the Hyp

which trig function would you like to use?

Let's use CAH this time.  We could also use SOH , but we just used that one. let's try out the "tools" of the trade :)

CAH ⇒ Cos(Ф) = Adj / Hyp

Cos(37) = 8/Hyp

use algebra skillz

Hyp = 8 / Cos(37)

use calculator to find  Cos(37) :/

Hyp = 10.01708

? = 10.0  ( rounded to nearest 10th )

5)

oh for this one we do need the circle, and I don't know why they want people to know this , nobody uses this math  :?  Anyway,  

there is a confusing formula for this type of problem

∠ = (bigger arc - smaller arc ) / 2

since we're given the 65° , we know that 2*65= 130 which is the angle of the bigger arc - smaller arc = 130 °

now we have to use our really keen algebra skillz to see that

if the total all the way around a circle is 360 and we have 130 of those left  so

eq. 1)  360 = big arc + small arc

then

360-smal arc = big arc

and

eq. 2)  130 = big arc - small arc

plug in for "big arc" what we know from above :P

130 = 360-small arc - small arc

130 = 360 - 2small arc

130 + 2 small arc = 360

2 small arc = 230

small arc = 115

:0  wow.. we solved it..  that was a lot of fancy algebra huh  :P

? = 115°  ( the small arc)

6)

same as 5

given 72°

72*2=144°

eq. 1)   360 = big arc + small arc

eq. 2 ) 144 = big arc - small arc

solve for big arc this time

360-bigl arc = small arc

now plug into eq. 2

144 = big arc - (360-big arc)

144 = big arc - 360 + big arc

144 = 2big arc - 360

144+ 360 = 2 big arc

504 =  2 big arc

252° = big arc

yay solved !! phew.. that was a lot of algebra.. :P

5 and 6 are tough, ask the teacher how many others got it  :)

Answer:

3/4

Step-by-step explanation:

Tangent is opposite/adjacent

Therefore, 6/8 would be the answer which simplifies to 3/4.

Answer:

7.62 cm

Step-by-step explanation:

set up a proportion then cross-multiply:

1 / 50 = x / 381

50x = 381

x = 381/50

If you help me with my last question I will help you with this one