1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
3 years ago
13

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t  as shownl

v = 275/5

v = 55 mph

<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>

You might be interested in
Which of the following is equivalent to the expression (9x^2y^3)(12x^-3y^5)(2xy)?
VladimirAG [237]

Answer:

\large\boxed{(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9}\to\boxed{B.}

Step-by-step explanation:

(9x^2y^3)(12x^{-3}y^5)(2xy)=(9\cdot12\cdot2)(x^2x^{-3}x)(y^3y^5y)\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\=216x^{2+(-3)+1}y^{3+5+1}=216x^0y^9\\\\\text{Use}\ a^0=1\ \text{for any value of}\ a\ \text{except 0}\\\\=216y^9

6 0
3 years ago
Read 2 more answers
2. The Andersons went to dinner at
irina1246 [14]
They left $6.72 for a tip.

42 x 0.16 = 6.72
6 0
3 years ago
A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of P(x)= 0, 7- 5 squared an
galben [10]

Answer:

2 & +2i

Step-by-step explanation:

The two additional roots of the polynomial functions are:

1. 7-5 = 2

2. Irrational root of a polynomial functions are always in pairs, hence

- 2i will have +2i as its pair

4 0
3 years ago
A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th
ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

H_0: \mu=500\\\\H_a:\mu< 500

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1

The degrees of freedom for this sample size are:

df=n-1=5-1=4

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0
2 years ago
Given m∥n, find the value of x and y.
Korolek [52]

Answer:

x = 15

y = 63

Step-by-step explanation:

9x - 7 + 4x - 8 = 180

13x = 195

x = 15

9x - 7 = 2y + 2

126 = 2y

y = 63

8 0
2 years ago
Other questions:
  • The percent of a​ country's households with broadband Internet access can be modeled by the function f left parenthesis x right
    14·1 answer
  • there are 45 cans of mixed nuts if each can has 338 nuts what is the total number of nuts,n, in all of the cans
    7·1 answer
  • Solve -5 + w/3 = -1.
    9·1 answer
  • Solve for x. Enter the solutions from least to greatest.
    13·1 answer
  • Can someone help me plz?
    6·2 answers
  • Please Help Me With This I'll Give Brainliest.
    13·1 answer
  • Find the value of X given 2 angles, 58 and 38.
    8·2 answers
  • In the last basketball game, Elena scored 2 more than one fourth of her
    15·2 answers
  • 100 POINTS AND WILL GET BRAINLIEST!!
    8·1 answer
  • Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segme
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!