How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

                  [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                  [tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved

Answer:

The equation has one solution.

A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10

A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10

Step-by-step explanation:

2x=10

Divide both sides by two:

2x/2=10/2

x=5. There is no other solution to the equation, because 5 is the only possible answer.

Answer:

Imaoo

Step-by-step explanation:

answer: C

Answer: Letsssss goooooo

the answer is 4y

dababy letssssssssssss gooooooooooooooooo

Step-by-step explanation:

Answer: thank you

Step-by-step explanation:

Answer:

Thanks!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

$63.89

Step-by-step explanation:

just multiply 59.99 by 1.065

Answer:

Omg  im a big fan anything for you the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

.

Answer:

a=101.223

Step-by-step explanation:

use SOCATOA

or an online calculator

https://www.calculator.net/triangle-calculator.html?vc=x&vx=z&vy=y&va=39&vz=125&vb=90&angleunits=d&x=59&y=16

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting [tex]A=8700,r=24,t=3[/tex], we get

[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]

[tex]8700=P\left(1+0.24\right)^{3}[/tex]

[tex]8700=P\left(1.24\right)^{3}[/tex]

[tex]8700=1.906624P[/tex]

Divide both sides by 1.906624.

[tex]\dfrac{8700}{1.906624}=P[/tex]

[tex]4563.0391729=P[/tex]

[tex]P\approx 4563.04[/tex]

Therefore, the principal value is about 4563.04.

Answer:

the blue block 'side' is 10

the pink block ' bottom' is 9

the cream 'side' block is 13 (length)

the green back triangle next to the blue side is also 10

and the other side of the green back triangle is 8

Answer:

the first red one, it's a triangular prism

Step-by-step explanation:

the second one is a triangular pyramid

the rest (third and fourth one) are square pyramids

Answer:

Its the first one

Step-by-step explanation:

Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.

         mark brainliest please.

Answer:  V≈804.25

Step-by-step explanation:

V=πr2h

3=π·82·12

3≈804.24772

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

a. 88%

b. 80%

Step-by-step explanation:

198/225=.88

180/225=.80

Answer:

D

Step-by-step explanation:

The mean, median, and mode all are 3

Answer:

12mm since its supposed to be for larger rectangles

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

L.C.M =8

5-2=3

=3/8

Answer:

2

Step-by-step explanation:

5x10=50

5x2=10; 10x2=20

10x20=200

Answer:

8

Step-by-step explanation:

I can't see the pic.

Parent functions are the base function of a family function. [tex]f(x) = \sqrt x[/tex] is the parent function of the square root function

Given that:

[tex]f(x) = \sqrt x[/tex]

The parent function of a cube root function is:

[tex]f(x) = x^3[/tex]

The parent function of a reciprocal function is:

[tex]f(x) = \frac 1x[/tex]

The parent function of an absolute function is:

[tex]f(x) = |x|[/tex]

The parent function of a square root function is:

[tex]f(x) = \sqrt x[/tex]

By comparing the above parent functions to [tex]f(x) = \sqrt x[/tex], we can conclude that [tex]f(x) = \sqrt x[/tex] is the parent function of a square root function.

Hence, (d) is true

Read more about parent functions at:

https://brainly.com/question/17939507

Answer:

125:200

Step-by-step explanation:

Answer:

the ratio 5 : 8

Answer:

(4,11/2)

Step-by-step explanation:

5x-2y=9

12x-8y=4

A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.

4(5x-2y=9)

Now we need to decide if we should add or subtract the equations.

20x-8y=36

12x-8y=4

Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.

20x-8y=36

-12x-8y=4

----------------

8x=32

Divide both sides by 8 to get the x-value:

[tex]\frac{8x}{8} = \frac{32}{8}[/tex]

x=4

Now that we have our x-value, we need to plug in the y-value.

5x-2y=9

5(4)-2y=9

20-2y=9

-2y=-11

y=11/2

So our solution is (4,11/2)

Let's check our work.

5x-2y=9

5(4)-2(11/2)=9

20-22/2=9

20-11=9

9=9

12x-8y=4

12(4)-8(11/2)=4

48-88/2=4

48-44=4

4=4

Our solution is correct.

Answer:

x=4,y=11/2

Step-by-step explanation:

5x−2y=9

12x−8y=4

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x−2y=9,12x−8y=4

To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.

12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4

Simplify.

60x−24y=108,60x−40y=20

Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.

60x−60x−24y+40y=108−20

Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.

−24y+40y=108−20

Add −24y to 40y.

16y=108−20

Add 108 to −20.

16y=88

Divide both sides by 16.

y=11/2

Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.

12x−8x11/2=4

Multiply −8 times 11/2.

12x−44=4

Add 44 to both sides of the equation.

12x=48

Divide both sides by 12.

x=4

The system is now solved.

x=4,y=11/2

Answer:

h(2)= 4.5

Step-by-step explanation:

h(x)=2.25x

h(2)=2.25(2)

= 4.5

Answer:

Hi! The answer to your question is 4.5

Step-by-step explanation:

To find h(2) we just have to find x in the equation and replace it with a 2

h(x)=2.25(2)

h(x)=2.25(2)=4.5

※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8b = 56

Simplify the equation, then we have

8b = 56

b = 56 / 8

b = 7

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

9514 1404 393

Answer:

  (a)  2021

Step-by-step explanation:

The expression can be simplified.

  [tex]\displaystyle\frac{a^4+b^4+2a^2b^2+a^3b+ab^3}{a^2+b^2}+ab=\frac{(a^2+b^2)^2+ab(a^2+b^2)}{a^2+b^2}+ab\\\\=a^2+b^2+ab+ab=(a+b)^2\\\\=(\sqrt{2021})^2=\boxed{2021}[/tex]