You want to visit your friend, John, at his house. You leave your house and walk down Oak Street which is at an angle 45◦ from Elm Street which is the street in front of your house. After walking 6 blocks, you arrive at John’s house. How far is Oak Street from Elm Street? Round to the nearest tenth of a block.
Use SOH CAH TOA to find d.

Answer:

263,93802

Step-by-step explanation:

xd

Answer:

a) 3

b) 3

c) because of the permutations and combinations involved

Step-by-step explanation:

a) Determine the smallest number of cars needed

The number of cars are the same as conflict free cars

hence we can group the friends without conflict into the same car

1st car we will have : ACFI  in it

2nd car we will have : GD  in it

third care we will have : BEJH  in it

∴ number of car needed = 3

b) number of conflict free cars = 3

c) Coloring is important in the question because of the permutations and combinations involved

Complete Question

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with[tex]\sigma^2=1000[/tex]. A random sample of 12 sample specimens has a mean compressive strength of [tex]\=x=3207psi[/tex]. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.

Answer:

[tex]CI=(3189.1,3224.9)[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=12[/tex]

Standard deviation [tex]\sigma^2=1000psi^2\\\sigma=\sqrt{1000} \\\sigma=31.6[/tex]

Sample mean [tex]\=x=3207[/tex]

Confidence level =95%

[tex]\alpha=100-95\\\alpha=0.05[/tex] significance level

From table \alpha 0.05

Gives

[tex]Z_c=1.96[/tex]  

Generally the equation for confidence interval is mathematically given by

[tex]CI=(\=x-\frac{z_c*\sigma}{\sqrt{n} } ),\=X+\frac{Z_C*\sigma}{\sqrt{12} })[/tex]

[tex]CI=(3207-\frac{1.96*31.6}{\sqrt{12} } ),3207+\frac{1.96*31.6}{\sqrt{12} })[/tex]

[tex]CI=(3189.1,3224.9)[/tex]

Answer:

lol I hope I'm right ...

Step-by-step explanation:

minimum=2, maximum=10, Q1=3, median=6, Q3=8, IQR= 5

Answer:

(x-1) and (x+8).

Step-by-step explanation:

The given expression is :

[tex]x^2+7x-8[/tex]

We need to find the factors of this expression.

Product of two numbers = 8 and -1 = -8

Sum of two numbers = 8 and -1 = 7

So,

[tex]x^2+7x-8=x^2+8x-x-8\\\\=x(x+8)-1(x+8)\\\\=(x-1)(x+8)[/tex]

So, the factors of this expression are (x-1) and (x+8).

Answer:

18 cm!

Step-by-step explanation:

Answer:

b 80

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A P EE X

Answer: 16.81 min

Step-by-step explanation:

Given

Initial concentration [tex]A_o=970\ gm[/tex]

Half-time  [tex]T_{\frac{1}{2}}=6\ min[/tex]

Decay at any time t is given by

[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]

put values

[tex]\Rightarrow 139=970\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow 2^{\dfrac{t}{6}}=6.978\\[/tex]

Taking log both sides

[tex]\Rightarrow \dfrac{t}{6}\times \ln (2)=\ln (6.978)\\\\\Rightarrow t=6\times 2.802\\\Rightarrow t=16.81\ \text{min}[/tex]

Answer:

whow this is so great app i love it

Answer:

99% C.I of the population mean is ( 11746, 11800 )

Step-by-step explanation:

Given the data in the question;

Sample size n = 9

mean x" = 11773  

standard deviation s = 24

for 99% confidence interval

∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01/2 = 0.005

degree of freedom df = n - 1 = 9 - 1 = 8

now, Critical t-value : [tex]t_{\alpha /2, df[/tex] =  [tex]t_{0.005, 8[/tex] = 3.355

Now, at 99% Confidence interval of the mean population is;

x" ± [ [tex]t_{\alpha /2, df[/tex] × s/√n ]

we substitute

11773  ± [ 3.355  × 24/√9 ]

11773   ± [ 3.355  × 8 ]

11773 ± 26.84

so

⇒ {11773 - 26.84}, {11773 + 26.84}

⇒ ( 11746, 11800 )

Therefore, 99% C.I of the population mean is ( 11746, 11800 )

Answer:

The answer is the first option I hope it helps

Answer:

<1 = <8

Step-by-step explanation:

Pair of alternate exterior angles are formed when two parallel lines are cut across by abl transversal line. The two angles are found on the other side of the parallel lines but located on opposite sides along the transversal line.

Thus, <1 and <8 are exterior angles of the parallel lines that are crossed by the transversal and they are on the alternate sides along the transversal.

Therefore, <1 and <8 form a pair of alternate exterior angles.

<1 = <8

Answer:

40units²

Step-by-step explanation:

find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.

do the formula for rectangle

A = bh

A = 8×2

A = 16

Now the formula for Trapezoid

A = 1/2h(b+b)

A = 1/2×4(4+8)

A = 1/2×4(12)

A = 1/2(48)

A = 24

16+24 = 40

Answer:

300in3

Step-by-step explanation:

Answer:

300in3

Step-by-step explanation:

Answer:

the ratio is 182

Step-by-step explanation:

sana po makatulong

Answer:

Answer:

D

Step-by-step explanation:

area of shaded region=1/2×8×8=32 sq. units

area of larger triangle=1/2×14×16=112 sq units

reqd. probability=32/112=2/7

Answer:

1.71428571429..........

8b+4-4b+2= 4b+6

collect the like terms and add

Answer:

$175

Step-by-step explanation:

$100/8 hours = $12.5 hourly

$12.5 * 14 hours = $175

Answer:

106.43

Step-by-step explanation:

The difference in their account balances at the end of 3 years is $24.32

To solve the compound interest for Cody

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.04/1)(1)(3)

A = 5,000.00(1 + 0.04)(3)

A = $5,624.32

To solve for the simple interest for April

P * T * R/100

5000 * 4 * 3/100

= 60,000/100

= 600.

We add the S. I of April's investment

= 5,000 + 600

= $5600.

Therefore, the difference between their account balances is $5,624.32 - $5600 = $24.32

Read more about compound interest here:

https://brainly.com/question/24924853

#SPJ6

Answer:

The least common multiple is [tex]280a^6b^4cd[/tex]

Step-by-step explanation:

We find the least common multiple of the constant, and of each term.

Least common multiple of 40 and 28:

40 - 28|2

20 - 14|2

10 - 7|2

5 - 7|5

1 - 7|7

1 - 1

2*2*2*5*7 = 280

LCM of a^3 and a².

Exponents are 3 and 2.

LCM of 3 and 2 is 6. So

[tex]a^6[/tex]

b and b^4

LCM of 1 and 4, which are the exponents, is 4. So

[tex]b^4[/tex]

c and c

LCM of 1 and 1 is 1. So c

d

In the first term, no d means that it is [tex]d^0 = 1[/tex]

In the second, [tex]d^1 = d[/tex]

LCM of 0 and 1 is 1. So

d

Least common multiple:

Multiplication of all the LCM's. So

[tex]280a^6b^4cd[/tex]

Answer:

(1, 1)

Step-by-step explanation:

not 100% sure though, but hope it helps

Answer:

width 14 perimeter 160 (l=66 cm)

Answer:

Step-by-step explanation:

The slope:

The y -intercept:

The equation off the line:

The slope:

The y -intercept:

The equation off the line:

As we see they get same slopes but different y-intercepts.

Correct choice is B

Answer:

B) They will have the same slopes but different y-intercepts.

Step-by-step explanation:

I got 100% :>

Answer:

5

Step-by-step explanation:

Negative is always negative positive is always positive

Answer:

The measure of ∠DFE is 67°.

Step-by-step explanation:

Angle GFE is a straight angle, meaning that its measure is 180°, per se.

180 - 113 = m of ∠DFE

180 - 113 = 67

Answer:

4 4/9

Step-by-step explanation:

First, you have to set it up: 5/9 times 8/1

We made it 8/1 since it has to be a fraction in the multipying ocess and the one does not change the value.

Next, Multiply.

5/9x8/1=40/9 as an inproper fraction

As a proper fraction, it is written as 4 4/9