15. What percent of the people
surveyed prefer strawberry ice cream?

Favorite Flavors

Number of
Responses:

82- vanilla
chocolate- 76
strawberry- 42

Answer:

This would be 6 of 1/8 pound of serving

Answer:

6 out of 1/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3 - (-3) + 7 - 4 =\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\\\-\left(-3\right)=+3\\\\=3+3+7-4\\\\3+3=6\\\\=6+7-4\\\\6+7=13\\\\=13-4\\\\13-4\\=9[/tex]

Answer:

Luke, -32 < 36

Step-by-step explanation:

The two cards drawn by Sofia has values of -8 and 4 respectively. The product of her cards = -8 × 4 = -32. (Negative × positive = (negative)

The two cards drawn by Luke has values of -6 and -6 respectively. The product of his cards = -6 × -6 = 36 (negative × negative = positive).

36 greater than -32.

Luke had the largest product because -32 < 36.

Answer:

The actual triangle is larger

Step-by-step explanation:

Given

[tex]Scale = Actual Triangle : Drawing[/tex]

[tex]Scale = 30 : 1[/tex]

[tex]Jorge = 101[/tex]

Required

Determine which is bigger

The answer to this question can be extracted from the given scale.

The question says: the scale from the actual triangle to the drawing is 30 : 1.

This implies that;

If Jorge's drawing is 101, then the actual length is 30 * 101 =3030

Since, 3030 > 30, then

We cam conclude that the actual triangle is bigger

Answer:

The probability of having two boys = 25%

Step-by-step explanation:

The ordered sample space for two kids is given as S =  {bb, bg, gb, gg},

where bb = two boys, bg = a boy and a girl, gb = a girl and a boy, and gg = two girls, in that particular order.

bb occurs 1/4 times

and 1/4 = 0.25 or 25%

Calculating the probability of having two boys is given as the probability of having a boy multiplied by the probability of having a boy

= 0.5 x 0.5

= 0.25

= 25%

This agrees with the ordered sample space given above.

Answer: The answers to the questions by 10 of the friends

Step-by-step explanation:

The options to the question are:

a. The answers to the questions by the parents of 10 of the friends.

b. The results of a national poll of 1800 students in the same age group as the child.

c. The answers to the questions by 10 of the friends.

d. The answers to the questions by 10 people from the parents office.

From the question, we are informed that a concerned parent wants to determine the amount of time spent on the phone by her child's friends. The sample that is likely to bias the results of the study by reporting less than the actual time is the answers to the questions by 10 of the friends.

This is because since the questions are being asked from her friends, there'll be bias as the friends won't want to give the exact time used on phone, hence, they'll hold back some information.

Answer:

[tex]15[/tex] inches

Step-by-step explanation:

Let the width be x.

Length = [tex]6+x[/tex]

Perimeter = Length + Length + Breadth + Breadth

Perimeter = [tex](6+x)+(6+x)+x+x=48[/tex]

[tex]6+x+6+x+x+x=48[/tex]

[tex]4x+12=48[/tex]

Subtract 12 from both sides:

[tex]4x+12-12=48-12[/tex]

[tex]4x=36[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{36}{4}[/tex]

[tex]x=9[/tex] (Width)

Length = [tex]9+6=15[/tex] inches.

Answer:

l = 15 inches

Step-by-step explanation:

l = w + 6

p = 2l + 2w

substitute l into equation p

48 = 2(w + 6) + 2w

distribute the 2 into the parentheses

48 = 2w + 12 + 2w

combine like terms

48 = 4w + 12

subtract 12 from both sides

36 = 4w

divide by 4

9 = w

plug w into equation l

(9) + 6 = 15

l = 15 inches

Answer:

the blanks are in this order the top two are 5 and 8

then (-,+,+)

then (-,-,+)

then (+,+,+)

last (+,-,+)

Step-by-step explanation:

Answer:

17in by 7in

Step-by-step explanation:

17x7=119

17+17+7+7=48

Answer:5X+2=4X-9\quad :\quad X=-11

Step-by-step explanation:

5X+2=4X-9

5X+2-2=4X-9-2

5X=4X-11

5X-4X=4X-11-4X

X=-11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: \: X \: = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 \: X + 2 = 4 \: X - 9}[/tex]

Move 4 X to left hand side and change it's sign

Similarly, move 2 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{5 \: X - 4 \: X = - 9 - 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{X = - 9 - 2}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \longrightarrow{ \sf{X = - 11}}[/tex]

Hope I helped!

Best regards! :D

It looks like the system is supposed to be

[tex]\mathbf x'=\begin{bmatrix}0&-1\\2&3\end{bmatrix}\mathbf x+\begin{bmatrix}e^t\\e^{-t}\end{bmatrix}[/tex]

with the initial condition, [tex]\mathbf x(0)=\begin{bmatrix}5&4\end{bmatrix}^\top[/tex].

Compute the eigensystem for the coefficient matrix:

[tex]\begin{vmatrix}-\lambda&-1\\2&3-\lambda\end{vmatrix}=\lambda^2-3\lambda+2=(\lambda-1)(\lambda-2)=0[/tex]

[tex]\lambda_1=1\implies\begin{bmatrix}-1&-1\\2&2\end{vmatrix}\mathbf v_1=\mathbf 0\implies\mathbf v_1=\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\lambda=2\implies\begin{bmatrix}-2&-2\\2&1\end{bmatrix}\mathbf v_2=\mathbf 0\implies\mathbf v_2=\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

So we have the characteristic solution,

[tex]\mathbf x_c=C_1e^{\lambda_1t}\mathbf v_1+C_2e^{\lambda_2t}\mathbf v_2[/tex]

[tex]\mathbf x_c=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

For the non-homogeneous part, we can guess a particular solution of the form

[tex]\mathbf x_p=te^t\begin{bmatrix}a\\b\end{bmatrix}[/tex]

(We might have started with [tex]e^t[/tex] instead, but that is already accounted for in the first characteristic solution.)

Its derivative is

[tex]{\mathbf x_p}'=e^t\begin{bmatrix}a\\b\end{bmatrix}+te^t\begin{bmatrix}a\\b\end{bmatrix}=e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}[/tex]

Substitute [tex]\mathbf x_p[/tex] into the system and solve for [tex]a,b[/tex]:

[tex]e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}=te^t\begin{bmatrix}0&-1\\2&3\end{bmatrix}\begin{bmatrix}a\\b\end{bmatrix}+e^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\begin{bmatrix}at+a\\bt+b\end{bmatrix}=\begin{bmatrix}-bt+1\\(2a+3b)t-1\end{bmatrix}[/tex]

[tex]\implies a=1,b=-1[/tex]

and so the particular solution is

[tex]\mathbf x_p=te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

The general solution to the system is then

[tex]\mathbf x=\mathbf x_c+\mathbf x_p[/tex]

[tex]\mathbf x=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

Use the given initial conditions to solve for the remaining coefficients.

[tex]\mathbf x(0)=\begin{bmatrix}5\\4\end{bmatrix}[/tex]

[tex]\implies\begin{bmatrix}5\\4\end{bmatrix}=C_1\begin{bmatrix}1\\-1\end{bmatrix}+C_2\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

[tex]\implies C_1=14,C_2=-9[/tex]

Then the solution to the initial value problem is

[tex]\mathbf x=14e^t\begin{bmatrix}1\\-1\end{bmatrix}-9e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\mathbf x=\begin{bmatrix}14e^t-9e^{2t}+te^t\\-14e^t-18e^{2t}-te^t\end{bmatrix}[/tex]

Answer: y=4x-4

Step-by-step explanation:

To find the equation fo the line parallel to the given line, we can use the given point to find the y-intercept. We know that the slope must stay the same because parallel lines NEVER touch or cross. This means that the slope MUST be the same.

y=4x+b

We can use the given point to find the y-intercept.

8=4(3)+b             [multiply]

8=12+b                [subtract both sides by 12]

b=-4

Now that we have found the y-intercept, we can complete the equation.

y=4x-4

Answer:

18.29

Step-by-step explanation:

hope this helped

Answer:

-9/14

Step-by-step explanation:

product of Three-fourths and Negative StartFraction 6 over 7 EndFraction

[tex] = \frac{3}{4} \times \bigg( - \frac{6}{7} \bigg) \\ \\ = \frac{3 \times ( - 6)}{4 \times 7} \\ \\ = - \frac{18}{28} \\ \\ = - \frac{9}{14} \\ [/tex]

Answer:

-9/14 so the answer is B

Step-by-step explanation:

Hope this helps

Answer:

4.24

Step-by-step explanation:

Answer: 169.2 per acre are produced if a field is in the top 25%.

Step-by-step explanation:

Given:  The mean rain-fed corn yield of harvested fields are normally  distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.

Let X denote the mean rain-fed corn yield of harvested fields.

Let x denotes the number of bushels per acre are produced if a field is in the top 25%.

Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.

I.e.

[tex]P(X<x)=P(\dfrac{X-\mu}{\sigma}<\dfrac{x-147.2}{33})=0.75\\\\\Rightarrow\ P(Z<\dfrac{x-147.2}{33})=0.75\ \ [Z=\dfrac{X-\mu}{\sigma}][/tex].

Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]

Then, [tex]\dfrac{x-147.2}{33}=0.6744[/tex]

[tex]\Rightarrow\ {x-147.2}=33\times0.67\\\\\Rightarrow\ {x-147.2}=22.11\\\\\Rightarrow\ {x}=22.11+147.2=169.31[/tex]

Here approx value is 169.2 (from options).

So, 169.2 per acre are produced if a field is in the top 25%.

Answer:

210

Step-by-step explanation:

We can get 10% of 300 by doing 300 / 10 which is 30. 70 / 10 is 7, so we need 7 lots of 10% to work out 70%. Therefore, 30 * 7 students said that their favourite colour was blue, which is 210.

Answer:

210

Step-by-step explanation:

So 70% OF 300 students said their favorite color was blue

OF means multiply and 70% is equal to .70 so,

.70 x 300 = the number of students that said their favorite color was blue

                =210

So, the number of students that said their favorite color was blue is 210 students. :)

Answer:

The response variable is the episodes of pain reported

Step-by-step explanation:

A response variable, also known as the dependent variable or explanatory variable, is the variable that is not under the direct control of the researcher, but whose value varies with the changing of the independent variable. The response variable is the focus of the experimental question.

In this example, the effect of the drug hydroxyurea is to be tested on sickle-cell patients, hence the drug used is the independent variable, because the experimenter can choose to give the subjects either hydroxyurea or a placebo, hence it is under the direct control of the experimenter. However, the result ( differences in episodes of pain) is a response to the administered drug or placebo.

Answer:

Step-by-step explanation:

(9-6)/2 = 3/2 = 1.5

(-8-3)/2 = -11/2 = -5.5

(1.5, -5,5)

Answer:60+1260+13 isnt equivalent

Step-by-step explanation:

Answer:

c best shows the best relationship

Answer:

B' is at (2.76,-4.9)

Equation of CC' is 11.38x+4.55y= -31.86

or at its slope-intercept form:

y= (-11.38x - 31.86)/4.55

Step-by-step explanation:

Answer:

The answer is 57.

Step-by-step explanation:

You have to substitute w = 2 into the expression :

[tex]8 {w}^{2} + 8w + 9[/tex]

[tex]let \: w = 2[/tex]

[tex]8 {(2)}^{2} + 8(2) + 9[/tex]

[tex] = 32 + 16 + 9[/tex]

[tex] = 57[/tex]

Answer:

57

Step-by-step explanation:

[tex]8*2^{2}+8*2+9\\8*4+16+9\\32+16+9\\48+9\\57[/tex]

Answer/Step-by-step explanation:

The ratio of the enlargement to the original = A'E' to AE = A'E':AE = A'E'/AE

AE = 2.5

A'E' = 4

Ratio of the enlargement to the original = 4:2.5 = 1.6:1

To convert to percentage, divide 4 by 2.5 and multiply by 100.

[tex] = \frac{4}{2.5}*100 [/tex]

[tex] = 1.6*100 [/tex]

[tex] = 160 percent [/tex]

Answer:

Step-by-step explanation:

Total 3-digit numbers 100 to 999

3 digit multiples of 5; 100 to 995

3 digit multiples of 7:

Total multiples of either 5 or 7 :

This number includes multiples of both 5 and 7

We need to exclude half of the multiples of 5*7= 35 as they are counted twice:

Half of this is 26/13 = 13

The difference of 900 and 310 is the answer:

Answer:14in 3

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

But as we've stated, these prime factorizations are unique, so this can't be right. Therefore 21≠a2 , so a≠√21 , meaning that our earlier assumption of √21 being rational turns out to be wrong, therefore √21 is irrational.

Answer:

[tex]\huge\boxed{m = \frac{y-b}{x}}[/tex]

Step-by-step explanation:

In order to solve for [tex]y=mx+b[/tex] and we want to solve for [tex]m[/tex], we want to get m on one side of the equation.

[tex]y = mx+b[/tex]

Let’s subtract b from both sides.

[tex]y - b = mx[/tex]

Now we can divide both sides by x so we have m on one side of the equation.

[tex]\frac{y-b}{x} = m[/tex]

Hope this helped!