Sorry if it was to blurry

Please help due in 10 minutes will give brainliest.

Kryger [21]

Answer:

B. The function is linear and decreasing

Step-by-step explanation:

6 0

3 years ago

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the

notka56 [123]

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

$Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km$

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

5 0

3 years ago

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In my garden there is a cage that contains both chickens and dogs. If there is a total of 30 eyes and 44 feet, how many of chick

gregori [183]

Answer:

This is a trial and error problem

we can divide 30 eyes by 2 eyes on each animals to know that there is 15 animals

15 animals now make a random guess

Find out the difference of feet. 1 dog has 4 feet - 2 chicken feet = 2 feet increase or decrease so if we need to increase by 2 we add 1 dog and if we need to subtract to then we add 1 chicken

11 dogs and 4 chickens

that is 44 feet + 8 feet = 52 feet

52 - 44 feet needed = 8 feet

8 / 2 feet decrease = 4 more chickens needed

11 - 4 (subtracting 4 dogs off)= 7

4 + 4 (replacing the dogs with chickens)= 8

7 dogs and 8 chickens

7 x 4 = 28

8 x 2 = 16

28 + 16 = 44

7 dogs and 8 chickens

Hope this helps

Step-by-step explanation:

6 0

3 years ago

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Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago

Find three consecutive odd integers whose sum is 495.

dedylja [7]

The three consecutive odd integers whose sum is 495 are 163, 165, and 167.

What are consecutive numbers?

⇒ Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each subsequent integer is 1, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

What are consecutive odd integers?

⇒ Consecutive odd numbers are odd integers that are separated by 2 and come after one another. If the number x is odd, then the numbers x + 2, x + 4, and x + 6 are also odd.

Calculation:

We are going to take an odd number, x, write its subsequent consecutive numbers, add all of them together, then equate them to 495 to find the number. The equation for x is then resolved.

We have been given that the sum of 3 consecutive odd numbers is equal to 495.

Let the first consecutive odd integer is x.

⇒ Then the next consecutive odd integers becomes x + 2 and the next term becomes x + 2 + 2 = x + 4.

Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.

According to the given,

3x + 6 = 495

3x=489

x=163

⇒ Hence, the three consecutive odd integers whose sum is 495 are 163, 165, and 167.

Learn more about consecutive numbers here: brainly.com/question/10853762

#SPJ9

6 0

2 years ago

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