jasonran 4 miles in 30 minutes which of the following is an equivalent rate of running

9514 1404 393

Answer:

  8. (c)  34

  9. 38 women

Step-by-step explanation:

8. The price for s songs is ...

  A = 10 +0.89s

  B = 1.19s

We want A < B, so ...

  10 +0.89s < 1.19s

  10 < 0.30s

  33.33... < s

Lola would have to purchase 34 songs for Company A to be the cheaper option.

__

9. Let m represent the number of men. Then the number of women (w) is ...

  w = 4m+2

The total of men and women is 47, so we have ...

  m + w = 47

  m + (4m +2) = 47

  5m = 45 . . . . . . . . . subtract 2

  m = 9 . . . . . . . . . . . .divide by 5

  4m +2 = 4(9) +2 = 38 . . . . find the number of women

The PTA has 38 women in it.

Answer:

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Step-by-step explanation:

Proportion of oil tankers that had spills.

Number of tankers with spills divided by the total number of tankers.

In this question:

211 tankers

146 did not have spills, so 211 - 146 = 65 had

Proportion:

[tex]p = \frac{65}{211} = 0.308[/tex]

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Answer:

3 bags

Step-by-step explanation:

55 x 60 = 3300 ft²

3300/1230 = 2.68 bags

Answer:

1/3

Step-by-step explanation:

p=1/6+1/6

=2/6

=1/3

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]

The construction cost now is:

[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]

Now, to determine the minimum cost:

[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]

[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]

Now;

[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]

[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]

Answer and Step-by-step explanation:

The answer is in the attached photo.

The center is at (-1, -3), and it will have a point on (-7, -3)

#teamtrees #PAW (Plant And Water)

Answer:

3x4

Step-by-step explanation:

You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12

Answer:

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.

Step-by-step explanation:

Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams

To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.

Proof -

Given that,

In between period of 32 to 35 weeks

Mean = 2500

Standard deviation = 700

In between after a period of 40 weeks

Mean = 3100

Standard deviation = 390

Now,

For a 34-week baby,

X = 2950

For a 41-week baby,

X = 3550

Now,

Z-score = (X - mean) / Standard deviation

Now,

For a 34-week baby,

Z - score = (2950 - 2500) / 700 = 0.643

For a 41-week baby,

Z-score = (3550 - 3100) / 390 = 1.154

∴ we get

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

As 1.154 > 0.643

So,

Baby weight of 41-week is more than baby weight of 34-week in the gestation period.

Answer:

A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:

Answer:

6

Step-by-step explanation:

the only number between those to is 6

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

Answer:

common endpoint

Step-by-step explanation:

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

Velocity=226mph

Angle made with horizontal= 18°

The vector components would be [tex] 226~sin18° \hat{j} + 226~cos18° \hat{i} [/tex]

The vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°

What is a Vector ?

An parameter that has both magnitude and direction is called a vector.

It is given that

Speed S = 226 mph

Angle = 18 degree with the horizontal

The vector component are

[tex]\rm v_x , v_y[/tex]

here these are x and y components of the vector

V is the magnitude = |v| = 226

The vector component is given by

cos [tex]\rm \theta[/tex] = [tex]\rm v_x[/tex] / |v|

[tex]\rm v_x[/tex] = 226 cos 18°

[tex]\rm v_y[/tex] = 226 sin 18°

Therefore the vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°

To know more about Vector Components

https://brainly.com/question/4179238

#SPJ2

Answer:

Step-by-step explanation:

y = ½x² + 6x + 23

  = ½(x² + 12x) + 23

  = ½(x² + 12x + 6²) - ½(6²) + 23

  = ½(x+6)² + 5

vertex (-6,5)

focal length = 1/(4∙½) = ½

directrix: y = 5-½ = 4.5

Answer: y=4.5 Just confirming

Step-by-step explanation:

Just a test good luck

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm

Answer: Miranda can buy 18 dolls.

Step-by-step explanation:  Equation: 45 divided by 2.50

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

= (30 × 6) - (4 + 15) / 2

= (180 - 19) / 2

= 161 / 2

= 80.5

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Answer:

2+11=13

180-50=130

130÷13=10

2×10=20

11×10=110

2=20°

11=110°

Answer:

3

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

Answer:

U need to draw a triangle

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

3X +5 +2x-4 +2x +11 = 180

7x +12 = 180

7x = 180 - 12

7x = 168

7x/7 = 168/7

x =24

Answer:

B. 41 sq yd

hope this answer helps you......

Answer:

A is the answer

Step-by-step explanation:

Answer:

Number one is D and Number 3 is also D

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation: