Find the volume......

Answer:

a

Step-by-step explanation:

the answer is A I hope that helps you for school

Complete question is;

A leasing firm claims that the mean number of miles driven annually, u , in its leased cars is less than 12800 miles. A random sample of 50 cars leased from this firm had a mean of 12499 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 3140 miles. Is there support for the firm's claim at the 0.05 level of significance?

Perform a one-tailed test.

null hypothesis?

alternative hypothesis?

type of test statistic?

value of the test statistic?

the p-value?

Can we support the leasing firm’s claim that the mean number of miles driven annually is less than 12800 miles?

Answer:

A) Null hypothesis; μ ≥ 12800

Alternative hypothesis; μ < 12800

B) type of test statistic: z-score test

C) test statistic; z = -0.678

D) p - value = 0.2489

E) No, we can't support the leasing firms claim

Step-by-step explanation:

We are given;

Population mean; μ = 12800 miles

Sample mean; x¯ = 12499 miles

Sample size; n = 50

Population standard deviation; σ = 3140

Let's define the hypothesis;

Null hypothesis; μ ≥ 12800

Alternative hypothesis; μ < 12800

The alternative hypothesis is the claim.

Since sample size is greater than 30, we will use z-score test.

Formula for z-score;

z = (x¯ - μ)/(σ/√n)

z = (12499 - 12800)/(3140/√50)

z = -0.678

From online p-value from z-score calculator attached, using z = -0.678 with one tailed hypothesis and significance value of 0.05,we have;

p - value = P(z < -0.678) = 0.2489

The p-value is greater than the significance value, so we will fail to reject the null hypothesis and conclude that there is no sufficient information to support the leasing firm's claim

Answer: [tex]322\ lb[/tex]

Step-by-step explanation:

Given

The magnitude of the force [tex]F=350\ \text{Pounds}[/tex]

The force makes an angle of [tex]67^{\circ}[/tex] with the horizontal

So, the components of the force are

[tex]\Rightarrow F\cos 67^{\circ}, F\sin 67^{\circ}\\\Rightarrow F\cos 67^{\circ}=350\cos 67^{\circ}\\\quad \quad =136.75\ lb\\\text{Similarly, }\\\Rightarrow F\sin 67^{\circ}=350\sin 67^{\circ}\\=322.17\ lb[/tex]

The larger among the two is [tex]F\sin 67^{\circ}[/tex] i.e. [tex]322\ lb[/tex]

Answer:C. [12.35+(2.25x3)-2]÷3

Answer:

1: true

2: false

Step-by-step explanation:

1: congruent = equal while supplementary = 180-degrees

2: congruent angles= vertical angles, corresponding angles, alternate interior angles, & alternate exterior angles

Answer:

13

Step-by-step explanation:

4w-10=42

4w=52

w=52/4

w=13

Answer:

[tex]BC = \sqrt{(-3+8)^2 +(1+2)^2} = \sqrt{34}\\\\AB =\sqrt{(-3-2)^2+(1-a)^2} = \sqrt{25+(1-a)^2} \\\\AC = \sqrt{(2+8)^2+(a+2)^2} = \sqrt{100+(a+2)^2} \\\\AB^2 + AC^2 = BC^2\\\\ (\sqrt{25+(1-a)^2})^2+ (\sqrt{100+(a+2)^2})^2= (\sqrt{34})^2 \\\\25+(1-a)^2+100+(a+2)^2=34\\\\125+1+a^2-2a+a^2+4+2a=34\\\\130+2a^2 =34\\\\2a^2+96=0\\\\a^2+48=0\\\\a = \sqrt{-48}[/tex]

Answer:

About 220 of the students scored less than 96

Step-by-step explanation:

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.

Mean of 156 and a standard deviation of 23.

This means that [tex]\mu = 156, \sigma = 23[/tex]

Proportion that scored less than 96:

p-value of Z when X = 96. So

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

[tex]Z = \frac{96 - 156}{23}[/tex]

[tex]Z = -2.61[/tex]

[tex]Z = -2.61[/tex] has a p-value of 0.00453.

About how many of the students scored less than 96?

0.00453 out of 48592.

0.00453*48592 = 220.1.

Rounding to the closest integer:

About 220 of the students scored less than 96

Answer:

220

Step-by-step explanation:

#platolivesmatter

Answer: 15850

Step-by-step explanation:

if johns account has 10000 dollars then each year he'll be making at 3.25% interest that's a total of $325 each year therefore in 18 years he'll have made 325 X the 18 years which you turn hall to 5850 as interest but now the question is it asking how much will John have in his account after 18 years at the yearly simple interest of the 3.25 there for the total will be 15850 dollars

9514 1404 393

Answer:

  C.  y = 11.27(0.7^x)

Step-by-step explanation:

The table value (x, y) = (0, 11.27) tells you the multiplier of the exponential term will be 11.27. The decreasing values tell you the base of the exponential term is less than 1. Only answer choice C matches these requirements.

Answer:

Difference = 250 students

Step-by-step explanation:

Let the total number of students be x.

Given the following data;

% driving = 30%

% riding = 60%

% walking = 10%

Number of students driving = 375

First of all, we would determine the total number of students.

Total = 30/100 * x = 375

0.3x = 375

Total, x = 375/0.3

Total, x = 1250 students.

Next, we determine the number of students walking;

Walking = 10/100 * 1250

Walking = 12500/100

Walking = 125 students

Finally, we would determine many more students drive to school than walk to school;

Difference = 375 - 125

Difference = 250 students

Answer:

42

Step-by-step explanation:

39+39 = 78

162 - 78 = 2 lengths =84

84/2 = 42

Answer:

The solutions for this quadratic equation are [tex]m_1 = 1.94, m_2 = -2.19[/tex]. Bhaskara was used to solve.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

We have the quadratic equation:

[tex]4m^2 + m - 17 = 0[/tex], which has [tex]a = 4, b = 1, c = -17[/tex].

Then

[tex]\Delta = (1)^{2} - 4(4)(-17) = 273[/tex]

[tex]m_{1} = \frac{-1 + \sqrt{273}}{8} = 1.94[/tex]

[tex]m_{2} = \frac{-1 - \sqrt{273}}{8} = -2.19[/tex]

The solutions for this quadratic equation are [tex]m_1 = 1.94, m_2 = -2.19[/tex]. Bhaskara was used to solve.

Step-by-step explanation:

Answer:

The second one

O (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)

Step-by-step explanation:

Favorable outcome is the outcome that we are looking for

The outcome that we are looking for when rolling two = die is a sum of 7

The set (1-6) (2-5) (3-4) (4-3) (5-2) (6-1) all add up to equal 7

( 1 , 6 ) 1 + 6 = 7

( 2 , 5 ) 2 + 5 = 7

( 3 , 4 ) 3 + 4 = 7

etc.

Which means that they are the favorable outcomes for rolling a seven

Answer:

[tex] a^{5} [/tex]

Step-by-step explanation:

Given the mathematical expression;

a⁸/a³

To rewrite the expression in the form [tex] a^{m} [/tex]

We would have to apply the law of indices.

[tex] Law \; of \; division = \frac {a^{x}}{a^{y}} = a^{x - y} [/tex]

[tex] Law \; of \; division = \frac {a^{8}}{a^{3}} = a^{8 - 3} [/tex]

[tex] a^{m} = a^{8 - 3} = a^{5} [/tex]

Answer:

pretty sure it's B

Step-by-step explanation:

origin - (0,0)

right 4x - (4,0)

up5x-(4,5)

Answer: all cones with the same height are always similar. False... radii could differ. ... Doubling the radius of a sphere doubles its surface area.

Step-by-step explanation:

Answer:

[tex]x^2+11x+24=0[/tex]

Step-by-step explanation:

Given that,

The zeros of a quadratic function are -3 and -8

It means,

(x+3) = 0 and (x+8)=0

Now multiply them together,

[tex](x+3)(x+8)=0\\\\x^2+8x+3x+24=0\\\\x^2+11x+24=0[/tex]

Hence, the required equation is equal to [tex]x^2+11x+24=0[/tex].

the clock lost 2 seconds per day

Step-by-step explanation:

I am assuming you want x? if so :

5x+12=6x-10

-x = -22

x =22

if u wanted angle J :

plug x back in

5(22)+12 = 122

subtract 180-122

J = 58°

Answer: person above me is correct

Step-by-step explanation:

Answer:

yes it does. good job on your A.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

8x-32

Step-by-step explanation:

Distribute 7 through the parenthesis

x+3+7(x-5)

=x+3+7x-35

Collect the like terms

x+3+7x-35

=8x+3-35

Calculator the difference

8x+3-35

=8x-32

He didn't followed the parentheses method from the beginning itself.

Hope it helps.

Answer:

Step-by-step explanation:

From the given information:

the mean [tex](\mu) = 115 \times 20[/tex]

= 2300

Standard deviation = [tex]20 \times \sqrt{115}[/tex]

Standard deviation (SD) = 214.4761

TO find:

a) [tex]P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})[/tex]

[tex]P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})[/tex]

[tex]P(x > 3500)= P(Z > \dfrac{1200}{214.4761})[/tex]

[tex]P(x > 3500)= P(Z >5.595)[/tex]

From the Z-table, since 5.595 is > 3.999

[tex]P(x > 3500)=1-0.9999[/tex]

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean [tex](\mu) = \dfrac{0+0.5}{2}[/tex]

= 0.25

Replacement time for the Standard deviation [tex]\sigma = \dfrac{0.5-0}{\sqrt{12}}[/tex]

[tex]\sigma = 0.1443[/tex]

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = [tex]\sqrt{(115\times 20^2) +(114\times (0.1443)^2)}[/tex]

= [tex]\sqrt{(115\times 400) +(114\times 0.02082249}[/tex]

= [tex]\sqrt{(46000) +2.37376386}[/tex]

= [tex]\sqrt{(46000) +(2.37376386)}[/tex]

= [tex]\sqrt{46002.374}[/tex]

= 214.482

Now; the required probability:

[tex]P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})[/tex]

[tex]P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})[/tex]

[tex]P(x > 4125) = P(Z >8.376)[/tex]

[tex]P(x > 4125) =1- P(Z <8.376)[/tex]

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

Answer:

the Pythagorean theorem states:

a^2 + b^2 = c^2

in your case a=14 and b=48

Step-by-step explanation:

14^2 + 48^2 = c^2

14x14 + 48x48 = c^2

(196 + 2304 = 2500)

2500 = c^2

√2500 = c

50 = c

Final answer: 50

Answer:

a <= 3

Step-by-step explanation: