Need help What is 30% of 45?

Answer:

False

True

False

True

Step-by-step explanation:

Easiest and fastest way is to plug each equation into a calc and see if they match the values given. When you do so, you should get your answers.

Answer:

0.13

Step-by-step explanation:

First let's find the probability of finding the first species or the second species:

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

P(A or B) = 0.61 + 0.08 - 0.28

P(A or B) = 0.41

Then, to find the probability of finding one or another but not both, we just need the symmetric difference of the events, that is: P(A or B) - P(A and B):

P(A or B) - P(A and B) = 0.41 - 0.28 = 0.13

Answer:

120 inches cubed

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is length * width * height.

In this case, 8 inches long is the length, 5 inches is the width, and 3 inches is the height.

So multiplying all of those together gets you 120 inches cubed.

Answer:

Pencil = $0.25

Marker = $1.00

Eraser = $1.75

Step-by-step explanation:

Let P denote pencils, M denote markers and E denote erasers. The quantities of each item and total amounts spent by each person can be modeled into the following linear system:

[tex]7P+8M+7E=22\\4P+8M+6E=19.5\\6P+4M+7E=17.75[/tex]

Solving the linear system:

[tex]7P-4P+8M-8M+7E-6E=22-19.5\\3P+E=2.5\\E=2.5-3P \\\\7P+8M+7E-2*(6P+4M+7E)=22-2*17.75\\-5P-7E=-13.5\\-5P*-7*(2.5-3P)=-13.5\\16P=-13.5+17.5\\P=0.25\\E=2.5-0.25*3\\E=1.75\\7P+8M+7E =22\\7*0.25+8M+7*1.75 =22\\8M=8\\M=1[/tex]

The price of each item is:

Pencil = $0.25

Marker = $1.00

Eraser = $1.75

Answer: -32

Step-by-step explanation:

I'm just going to plug in and break down the equation to make it more understandable and easier to comprehend

-(3^2) - (4*3) -11

-(9)- (12) -11

-9 - 12 - 11

-21 -11

-32

Answer:

a. The population is represented by the registered voters of the Raleigh city

b. The population size is 9,500

c. The sample size is 350

d. The proportion of people that voted for Brown was 32% >> (112 x 100) / 350 = 32%

e. The expected number of Brown's voters is 3,040 >>  (32 x 9,500) / 100 = 3,040

Step by step explanation:

In statistics, a population includes all the dataset from the study, while a sample is represented by one or more observations obtained from this dataset. The proportion can be represented by two fractions (ratios) which are equivalent to each other. Finally, the estimated size of the total population can be estimated by multiplication of the observed ratio in the sample and the size of the population (32 % x 9,500), and then dividing this number by the total ratio value.

Answer:

the correct answer is a reflection over the y axis

Step-by-step explanation:

The best description of the transformation shown will be;

''Reflection over the y - axis.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The transformation is shown in figure.

Now,

Clearly, A'B'C'D' is the mirror image of the ABCD across the y - axis.

So, The best description of the transformation shown will be;

''Reflection over the y - axis.''

Thus, The best description of the transformation shown will be;

''Reflection over the y - axis.''

Learn more about the translation visit:

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Answer:

x=35

Step-by-step explanation:

Answer:

x = 1, x = .333

Step-by-step explanation:

Answer:

x = 1 and x = 1/3

Step-by-step explanation:

Here the coefficients of this quadratic are a = 3, b = -4 and c = 1.

The discriminant is b^2 - 4ac, or (-4)^2 - 4(3)(1) = 16 - 12 = 4.

Thus, the roots are:

      -(-4) ± √4        4 ± 2

x = ---------------- = -------------   =>  x = 1 and x = 1/3

          2(3)                  6

I suppose the curve is [tex]r(\theta)=e^\theta[/tex].

Tangent lines to the curve have slope [tex]\frac{dy}{dx}[/tex]; use the chain rule to get this in polar coordinates.

[tex]\dfrac{dy}{dx}=\dfrac{dy}{d\theta}\dfrac{d\theta}{dx}=\dfrac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]

We have

[tex]y(\theta)=r(\theta)\sin\theta\implies\dfrac{dy}{d\theta}=\dfrac{dr}{d\theta}\sin\theta+r(\theta)\cos\theta[/tex]

[tex]x(\theta)=r(\theta)\cos\theta\implies\dfrac{dx}{d\theta}=\dfrac{dr}{d\theta}\cos\theta-r(\theta)\sin\theta[/tex]

[tex]r(\theta)=e^\theta\implies\dfrac{dr}{d\theta}=e^\theta[/tex]

[tex]\implies\dfrac{dy}{dx}=\dfrac{e^\theta\sin\theta+e^\theta\cos\theta}{e^\theta\cos\theta-e^\theta\sin\theta}=\dfrac{\sin\theta+\cos\theta}{\cos\theta-\sin\theta}[/tex]

The tangent line is horizontal when the slope is 0, which happens wherever the numerator vanishes:

[tex]\sin\theta+\cos\theta=0\implies\sin\theta=-\cos\theta\implies\tan\theta=-1[/tex]

[tex]\implies\theta=\boxed{-\dfrac\pi4+n\pi}[/tex]

(where [tex]n[/tex] is any integer)

The tangent line is vertical when the slope is infinite or undefined, which happens when the denominator is 0:

[tex]\cos\theta-\sin\theta=0\implies\sin\theta=\cos\theta\implies\tan\theta=1[/tex]

[tex]\implies\theta=\boxed{\dfrac\pi4+n\pi}[/tex]

Answer:

B

Step-by-step explanation:

The range is all values of y. Y goes from -1 to 1. Please mark brainliest.

Answer:

see below

Step-by-step explanation:

The domain of the function is the possible x values

The domain is all real values since x can be any number

The range of the function is the possible y value

The values of y go from -1 to 1 so

-1 ≤y≤1

Answer:

The roots are where the graph intercepts the x-axis

Step-by-step explanation:

Alternatively, you could factor and then solve algebraically.

Answer:

[tex]y=3t^9+C[/tex]

Step-by-step explanation:

Given:  [tex]\dfrac{dy}{dt}=27t^8[/tex]

We want to obtain the general solution of the given differential equation.

[tex]dy=27t^8$ dt\\$Take the integral of both sides\\\int dy =\int 27t^8$ dt$\\y=\dfrac{27t^{8+1}}{8+1} +C$, (where C is the constant of integration)$\\y=\dfrac{27t^{9}}{9} +C\\\\y=3t^9+C[/tex]

The general solution of the differential equation is: [tex]y=3t^9+C[/tex]

CHECK:

[tex]\dfrac{d}{dt} y=\dfrac{d}{dt}(3t^9+C)=\dfrac{d}{dt}(3t^9)+\dfrac{d}{dt}(C)\\\\\text{Since derivative of a constant is zero}\\\\\dfrac{dy}{dt}=27t^{9-1}\\\dfrac{dy}{dt}=27t^8[/tex]

Answer:

900.

Step-by-step explanation:

66 tens are 660.

and 24 tens are 240.

so, It is 900!

Answer:

30, 150, 120, and 60 degrees

Step-by-step explanation:

Since the sum of the interior angles in a quadrilateral is 360 degrees:

y+5y+4y+2y=360

12y=360

y=30

2y=60, 4y=120, 5y=150

Hope this helps!

Step-by-step explanation:

y+5y+ 4y + 2y=360°(sum of a Quadrilateral)

12y=360°

divide both sides by 12

y=30°

5y=(5×30)=150°

4y=(4×30)=120°

2y=(2×30)=60°

Answer:

We need to remember that the Z value comes froma normal standard distribution given by:

[tex] Z\sim N(\mu=0,\sigma=1)[/tex]

So then the mean is 0 and all the values in the left are negative. So then if we want to analyze that if A is negative then  value of Z indicates that :

B. the number of standard deviations of an observation is to the left of the mean

Step-by-step explanation:

We need to remember that the Z value comes froma normal standard distribution given by:

[tex] Z\sim N(\mu=0,\sigma=1)[/tex]

And the z score formula is given by:

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

So then the mean is 0 and all the values in the left are negative. So then if we want to analyze that if A is negative then  value of Z indicates that :

B. the number of standard deviations of an observation is to the left of the mean

B. the number of standard deviations of an observation is to the left of the mean

A [tex]Z[/tex] score is a numerical measurement that describes a value's relationship to the mean of a group of values. The value of the [tex]Z[/tex] score tells you how many standard deviations you are away from the mean. A negative [tex]Z[/tex] score reveals the raw score is below the mean average. Also, a negative value of Z indicates that B. the number of standard deviations of an observation is to the left of the mean

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Answer:

w = 15

Step-by-step explanation:

-9(w + 585) = -360w

-9w -5265 = -360w

351w = 5265

w=15

Answer:

A.

Step-by-step explanation:

Since you are trying to find x, you have to divide both sides by 4 to isolate x and get your answer.

Answer:

137

Step-by-step explanation:

sum of angle in a circle = 360°

105 + 118 + x = 360

223 + x = 360

x = 360 - 223

x = 137

Answer:

solution,

[tex]a. \: \: \frac{3x + 4}{2} = 9.5 \\ \: \: or \: 3x + 4 = 9.5 \times 2(cross \: multiplication) \\ \: \: or \: 3x + 4 = 19 \\ \: \: or \: 3x = 19 - 4 \\ \: \: or \: 3x = 15 \\ \: or \: x = \frac{15}{3} \\ \: x = 5[/tex]

[tex]b. \: \: \frac{7 + 2x}{3} = 5 \\ \: \: or \: 7 + 2x = 5 \times 3(cross \: multiplication) \\ \: \: or \: 7 + 2x = 15 \\ \: \: or \: 2x = 15 - 7 \\ \: or \: 2x = 8 \\ \: or \: x = \frac{8}{2} \\ \: \: x = 4[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

Part A. I chose points (7,1.3) and (48,9.8)

Part B. a. Positive correlation; b.  y = 0.21x - 0.2

Step-by-step explanation:

Part A.

I chose the first and last points on the line — (7 in, 1.3 lb) and (48 in, 9.8 lb).

That put three points on the line, three above it, and four below.

Part B

a. Type of correlation

There is a positive correlation between the length of a puppy and its weight.

You would expect a longer dog to be bigger and weigh more than a shorter dog.

b.  The equation for the line of best fit

The slope-intercept equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (7,1.3) and (48, 9.8).

(i) Calculate the slope of the line

\begin{array}{rcl}

[tex]m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{9.8 - 1.3}{48-9}\\\\& = & \dfrac{8.5}{41}\\\\& = & \textbf{0.21 lb/in}\\\\\end{array}[/tex]

The slope of the line is 0.21 lb/in.

(ii) Locate the y-intercept

Put the slope and the coordinates of one point into the slope-intercept formula.

[tex]\begin{array}{rcl}y & = & mx + b\\1.3 & = & 0.21\times7 + b\\1.3 & = & 1.47 + b\\b & = & -0.2\\\end{array}[/tex]

The y-intercept is at (0,-0.2)

(iii) Write the equation for the line

y = 0.21x - 0.2

Answer:

Step-by-step explanation:

t=V100-50/4

t=V50/4=1.76≈1.8 s

when h=0

t=V100/4=10/4=2.5 s

Answer:  a) (5√2)/4 ≈ 1.77 seconds

               b) 5/2 = 2.5 seconds

Step-by-step explanation:

[tex]t=\dfrac{\sqrt{100-h}}{4}\\\\\\h=50\rightarrow t=\dfrac{\sqrt{100-50}}{4}\\\\\\.\qquad \qquad =\dfrac{\sqrt{50}}{4}\\\\\\.\qquad \qquad =\large\boxed{\dfrac{5\sqrt2}{4}}\\\\\\\\h=0\rightarrow t=\dfrac{\sqrt{100-0}}{4}\\\\\\.\qquad \qquad =\dfrac{\sqrt{100}}{4}\\\\\\.\qquad \qquad =\dfrac{{10}}{4}\\\\\\.\qquad \qquad =\large\boxed{\dfrac{5}{2}}[/tex]

Answer:

27°

Step-by-step explanation:

Let line AB be extended to touch line DC at point F, thereby forming triangle BCF.

∠ABC + ∠BCE = 180° (sum of interior angles in a transversal).

∠ABC + 48 = 180

∠ABC = 180 - 48 = 132°

Also in triangle ADF, ∠ADF + ∠DFA + ∠FAD = 180 (sum of angle in a straight line)

85 + ∠DFA + 25 = 180

∠DFA + 110 = 180

∠DFA = 180 - 110 = 70

∠DFA = 70

∠DFA + ∠BFC = 180° (sum of angle on a straight line)

∠BFC + 70 = 180

∠BFC = 180-70 = 110

∠BFC = 110°

∠ABC + ∠CBF = 180° (sum of angle on a straight line)

132 + ∠CBF = 180

∠CBF = 1800 - 132 = 42

∠CBF = 42°

In triangle BCF:

∠BFC + ∠CBF + x = 180° (sum of angle in a triangle)

42 + 110 + x = 180

x + 152 = 180

x = 180 - 152

x = 27°

Answer:

22 Degrees

Step-by-step explanation:

First, i extended the line AB, to make a triangle and then i found out that the angle is 70 degrees, and from that i got that the other angle is 110 degrees, so now i know that the triangle (that has X in it) is this formula:

110+48+X=180

so now 180-158=22, so that is the answer

Answer:

$84.80

Step-by-step explanation:

find the difference between accurate price and written price: 74 - 47 = 27

find written total (before Mrs. Taylor found mistake) by undoing the mean calculation: 82.55 x 12 = $990.60

the total expenses is $27 more than what they thought: 990.60 + 27 = 1017.60

divide accurate total by 12 to find mean: 1017.60 / 12 = $84.80

hope this helps :)

Answer:

2m-9

Step-by-step explanation:

m-4+m-5

=m+m-4-5

=2m-9

Answer:

2m-9

Step-by-step explanation:

m-4+m-5

take the like terms

= 2m-4-5

= 2m-9

Sorry if that didn't help

Answer:

The probability is 40%

Step-by-step explanation:

a) There are ten pieces of paper with ten numbers

Probability of selecting four pieces of paper = 4/10 or 40%

Probability that the four numbers selected will have a sum greater than 82 = 82/205 = 40%

Therefore, the probability of selecting four numbers that have a sum greater than 82 out of ten numbers totalling 205 is 40%.

b) Probability is the ratio of the number of outcomes favourable for the event to the total number of possible outcomes.   In other words, it is a measure of the likelihood of an event (or measure of chance).

Answer:

B. 533in²

Step-by-step explanation:

Step 1: Find the area of the rectangle

A = lw

A = (29)13

A = 377

Step 2: Find the leg of the triangle

13 + 11 = 24

Step 3: Find the area of the triangle

A = 1/2bh

A = 1/2(24)(13)

A = 12(13)

A = 156

Step 3: Add the areas of the 2 figures together

377 + 156 = 533

Answer:

100 times

Step-by-step explanation: vibration per second: 50 times

                               vibration for 2 seconds; 50*2=100 times

Answer:

100 times

Step-by-step explanation:

2 seconds=100 times

100÷50=2

So now you can do

Answer:

12.5%

Step-by-step explanation:

There is only one number 5 from a total of 8 parts.

1 out of 8.

1/8 = 0.125

P(5) = 12.5%

Answer:

12.5%

Step-by-step explanation:

Spinner divided in parts = 8

Number 5 = 1

P(5) = 12.5%

Answer:

Graphed below.

Step-by-step explanation:

The slope of the line is -1/3.

The y-intercept is at (0, 2).

The x-intercept is at (6, 0).