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3 years ago

Jasmijn is a pet groomer. She charges n dollars to clip a dog's nails, w dollars to wash the dog and h dollars

Mathematics

1 answer:

lbvjy [14]3 years ago

7 0

Answer:

$4(n+w+h)$ and $4n+4w+4h$

Step-by-step explanation:

If the price for each dog is n+w+h,

Then the price for 4 dogs would be 4 times the sum of n, w, and h:

$4(n+w+h)$

And can also be written as $4n+4w+4h$ using the distributive property.

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Michael and laura spent a combined 250 hours in the tutoring center. If Michael spent 40 more hours than laura did,how many hour

Andrej [43]

X + y = 250
y + 40 = x

x + y = 250
y = x - 40

x + y = 250
- x + y = - 40

2y = 210

y = 105

Laura spent 105 hours, and Michael spent 145 hours there

*Brainliest Please ♡´･ᴗ･`♡

8 0

3 years ago

Polydactyly is a fairly common congenital abnormality in which a baby is born with one or more extra fingers or toes. It is repo

GenaCL600 [577]

Answer:

There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.

Step-by-step explanation:

There are only two possible outcomes: Either the baby has the anormality, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

It is reported in about one child in every 500, so $\pi = \frac{1}{500} = 0.002$ .

A young obstetrician celebrates her first 100 deliveries, so $n = 100$

What is the probability that the obstetrician has delivered no child with polydactyly?

That is P(X = 0)

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{100,0}.(0.002)^{0}.(0.998)^{100} = 0.8186$

There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.

6 0

3 years ago

A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 980 meters from the base of the cliff. The angle of e

wel

Using the tangent ratio, the height of the lighthouse from the top of the cliff ≈ 161.2 meters.

<h3>What is the Tangent Ratio?</h3>

For solving a right triangle, the tangent ratio that can be applied is: tan ∅ = opposite length / adjacent length.

Find the height of the light house and the cliff using the tangent ratio:

tan 51.3 = height/980

Height of lighthouse + cliff = (tan 51.3)(980)

Find the height of the cliff only using the tangent ratio:

tan 47.3 = height/980

Height of cliff = (tan 47.3)(980)

Height of the lighthouse from the top of the cliff = (tan 51.3)(980) - (tan 47.3)(980)

Height of the lighthouse from the top of the cliff ≈ 161.2 meters.

Learn more about the tangent ratio on:

brainly.com/question/4326804

#SPJ1

8 0

2 years ago

Fred and Victoria provide the following proofs for vertical angles to be equal.

Delvig [45]

Both Fred and Victoria are correct.

5 0

3 years ago

Read 2 more answers

How many milliliters of a 15% saline solution and how many milliliters of a 40% saline solution must be mixed to produce 10 mill

Lesechka [4]

X - volume of 15% saline solution. Theres is 15% x = 0,15 x saline solution
y - volume of 40% saline solution. There is 40% y = 0,4y saline solution

You want to produce 10 mililiers so x+y= 10

And this saline has to be 30%, so you've got 30 % * 10 = 0,3 * 10 = 3 ml saline. So:
0,15x + 0,4y = 3
And you've got system of equations:
$\begin{cases} x+y=10 \\ 0,15x+0,4y=3\end{cases} \\ \begin{cases} x=10-y \\ 0,15x+0,4y=3\end{cases} \\ \hbox{Substitute value from first equation to second:} \\ 0,15(10-y)+0,4y=3 \\ 1,5-0,15y+0,4y=3 \\ 0,25y=1,5 \qquad /:0,25 \\ y=\frac{1,5}{0,25}=\frac{150}{25}=6 \\ \hbox{Then:} \\ x=10-y=10-6=4$

So answer:
Volume of 15% saline solution : 4 mililiters
Volume of 40% saline solution: 6 mililiters.

4 0

3 years ago