) A cyclist travels a distance of 90 miles in 5 hours. What was her average speed? 2) How far along a motorway would you travel if you drove at 70 mph for 4 hours? 3) I drive to Bude in Cornwall from Sheffield in about 6 hours. The distance from Sheffield to Bude is 315 miles. What is my average speed? 4) The distance from Leeds to London is 210 miles. The train travels at an average speed of 90 mph. If I catch the 9.30 am train in London, at what time should I expect to arrive in Leeds? 5) How long will an athlete take to run 2000 m at an average speed of 4 metres per second? 6) The distance between Sheffield and Land’s End is 420 miles. a) What is the average speed of a journey from Sheffield to Land’s End that takes 8 hours 45 minutes? b) If Sam covered the distance at an average speed of 63 mph, how long would it take him?

Step-by-step explanation:

Answer:

The answer to the equation was c so yes you are right:)

Answer: $5115

Step-by-step explanation:

The following information can be gotten from the question:

Mean = 6800

Standard deviation = 2500

We will then find the Z score of the 25th percentile which will be -0.674.

Therefore, the cutoff for the salary that corresponds to the lower 25% of all salaries will be:

= 6800 - 0.674 × 2500

= 6800 - 1685

= 5115

The cutoff is $5115

Answer:

3

Step-by-step explanation:

6 ÷ 2 = 3

1 × 3 = 3km

I hope this is actually right ^-^

Answer:

The perimeter is 24 in2

Step-by-step explanation:

You have to add up all of the sides together

Answer:

the answer 24

Step-by-step explanation:

P= 10+6+8=24 in

because perimeter is just adding

Answer:

Time T = 15 year

Step-by-step explanation:

Given:

Interest I = $270,000

Principal P = $150,000

Rate R = 12% = 0.12

Find:

Time T

Computation:

I = PRT

270,000 = (150,000)(0.12)(T)

270,000 = (18,000)(T)

Time T = 15 year

Answer:

option b .

yes, by SAS.

.............

Answer:

12 meters = 472.441 inches

~Hope this helps~

Answer:

Step-by-step explanation:

-9x +15y = 3(-3x +5y) = -3(3x - 5y)

The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The given expression is given as follows:

-9x + 15y

It is required to find the factorization of the given expression.

As per the question, we have

-9x + 15y

To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:

-9x + 15y = 3(-3x + 5y)

Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).

Learn more about the Factorization here:

brainly.com/question/4184435

#SPJ3

Answer:

1742 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single light:

Mean of 1700 hours and standard deviation of 400 hours, which means that [tex]\mu = 1700, \sigma = 400[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{400}{\sqrt{64}} = 50[/tex]

The probability is 0.20 that the sample mean lifetime is more than how many hours?

This is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84

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

By the Central Limit Theorem

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

[tex]0.84 = \frac{X - 1700}{50}[/tex]

[tex]X - 1700 = 50*0.84[/tex]

[tex]X = 1700 + 50*0.84[/tex]

[tex]X = 1742[/tex]

[tex] \begin{cases} (-1, 2) \\ (-4, 3) \end{cases}[/tex]

[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the coordinate points in.

[tex]m = \frac{3 - 2}{ - 4 - ( - 1)} \\ m = \frac{1}{ - 4 + 1} \longrightarrow \frac{1}{ - 3} \\ m = - \frac{1}{3} [/tex]

Hence, the value of m is - 1/3.

[tex]y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}[/tex]

[tex] \large\boxed{m = - \frac{1}{3} }[/tex]

Answer:

It is 1174.

Step-by-step explanation:

Answer:

do u have a picture or smth? there is not enough info

Answer:

11

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

directly proportional means it is in the form

y=kx, given y=44 and x=4

44=4k

k=11

Answer:

8+7=15

Step-by-step explanation:

Just add 8+7 which will equal 15

Answer:

The answer is 15

Step-by-step explanation:

Hoped this helped!

Answer:

The standard form is 3x-5y-30=0

Answer: 2 cans of soup left.

Step-by-step explanation:

1/2 of 8 = 4.

1/4 of 8 = 2.

4 + 2 = 6, so you are giving 6 cans of soup away. 8 - 6 = 2. In conclusion, you have 2 cans of soup left.

Answer:

YOU GOT THIS!!

Answer:

y=[tex]\sqrt{28}[/tex] i

Step-by-step explanation:

Answer:

16 cookies. Try your best.

Answer: 16

Step-by-step explanation:

We can solve this by using the equation: 4/5 x 20 = y

(y is the answer)

Now we can solve it. You can just solve 4/5 x 20, or if you like using decimals you can change it to 0.8 x 20, becaues 4/5 is equivalent to 0.8.

0.8 x 20 = 16.

Therefore, out of the 20 cookies, 16 are chocolate chip.

Answer:

n = 2

Step-by-step explanation:

Answer:

n = 2

Step-by-step explanation:

0.7n-1.5+7.3n=14.5​

Add like terms

(0.7n + 7.3n) + (-1.5) = 14.5

8n -1 .5 = 14.5

Add 1.5 to both sides.

8n =1 6

Divide both sides by 8.

n = 2

Answer:

no

Step-by-step explanation:

gravity is relevant to when something is being affected by the gravitational pull on earth, or any other planet. for example, i throw an apple into the air. and it comes back down, as newton said. what must come up, must come down. because of gravity, two objects being closer together does not affect the gravitational pull whatsoever. and the force of gravity doesn't change. as gravity just works on it's own, independent of the object, not dependent on the object. however certain objects will fall abit faster than others.

Answer:

Step-by-step explanation:

16ft(13ft)(b/26ft^2)=8b

So he’ll need 8 bags

Answer:

force

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

Simply by using long division, this can be solved. Change 60% into its decimal form (0.6,) and divide 15 by 0.6.

Answer:

Less than 4 is 1,2,3

So 3/12=1/4

Answer:

0.00375 inches thick

Answer:

6/35

Step-by-step explanation:

2/5x3/7

Multiply Numerators and Denominators

= 6/35

You can't further simplify so the answer is 6/35.

Answer:

6/35

Step-by-step explanation:

hope this helps, would consider downloading photomath

Answer:

6 ? (i think)

Step-by-step explanation: