Find the value of x. Round your answer to the nearest tenth. Will mark brainlist !

Answer:

x+y=3

Assuming that the option 1 and 2 dont mean anything

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that [tex]N = 8 + 10 = 18[/tex]

We want 3 boys, so [tex]k = 8[/tex]

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that [tex]n = 8[/tex]

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323[/tex]

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

9514 1404 393

Answer:

Step-by-step explanation:

1. The desired angle is given on the diagram as 125°.

__

For the rest of these problems, the Law of Sines applies. A side can be found from ...

  a = b(sin(A)/sin(B))

and an angle can be found from ...

  A = arcsin(a/b·sin(B))

__

2. Y = arcsin(y/z·sin(Z)) = arcsin(5/11·sin(88°))

  ∠Y = 27°

__

3. DF = (11 km)·sin(32°)/sin(103°)

  DF = 5.98 km ≈ 6 km

__

4. b = c·sin(B)/sin(C) = (13 ft)·sin(65°)/sin(180° -65° -37°)

  b = 12 ft

Answer:

#1: The measure of m<B is 125°.

#2: M<Y is equal a 27°.

#3: So the length of DF is 5.99 km.

#4: the side length AC is 13.1 feet.

Explanation:

# 1: The following given,

c = AB = 17 cm

a = BC = unknown

b = CA = 44 cm

Ø = 125

M<B means it is the angle at vertex B of the triangle, it is also the only angle given in thbe figure.

Therefore, The measure of m<B is 125°.

#2: We can calculate the value of the angles by means of the law of sine which is the following:

[tex] \frac{yz}{sin \: x} = \frac{xz}{sin \: y} = \frac{xy}{sin \: z} [/tex]

We need you know the Y value, therefore we replace and solve for Y

[tex] \frac{xz}{sin \: y} = \frac{xy}{sin \: z} \\ \frac{5}{sin \: y} = \frac{11}{sin \: 88} \\ 5 \: . \: sin \: 88 = 11 \: . \: sin \: y \\ sin \: y = \frac{5 \: . \: sin \: 88}{11} \\ sin \: y = 0.45426 \\ y = {sin}^{ - 1} (0.45426) \\ y = 27[/tex]

#3: In order to find the length of Df, we can use the law of sines in this triangle:

[tex] \frac{11}{sin \: (103)} = \frac{df}{sin \: (32)} \\ \frac{11}{0.974} = \frac{df}{0.53} \\ df = \frac{11.0.53}{0.974} \\ df = 5.99[/tex]

So the length of DF is 5.99 km.

#4: We are given two two angles and one side length.

<A = 37°

<B = 65°

AB = 13 ft

We are asked to find side length AC

We can use the "law of sines" to find the side length AC

[tex] \frac{sin \: c}{ab} = \frac{sin \: b}{ac} [/tex]

Let us first find the angle <C

Recall that the sum of all three interior angles of a triangle must be equal to 180°

[tex] < a + < b + < c = 180 \\ 37 + 65 + < c = 180 \\ 102 + < c = 180 \\ < c = 180 - 102 \\ < c = 78[/tex]

So, the angle <C is 78°

Now let us substitute all the known values into the law of sines formula and solve for AC

[tex] \frac{sin \: c}{ab} = \frac{sin \: b}{ac} \\ \frac{sin \: 75}{13} = \frac{sin \: 65}{ac} \\ ac = \frac{sin \: 65 \: . \: 13}{sin \: 75} \\ ac = \frac{9.06 \: . \: 13}{0.899} \\ ac = 13.1ft[/tex]

Therefore, the side length AC is 13.1 feet.

Answer:

$90.00

Step-by-step explanation:

Given

[tex]c = 45.00[/tex]--- base fee

[tex]m = 15.00[/tex] --- rate

[tex]x = 3[/tex] --- individuals

Required

Determine the total amount paid (y)

The relationship between the variables is:

[tex]Total = Base\ Fee + Rate * Individuals[/tex]

[tex]y = c + mx[/tex]

This gives:

[tex]y = 45.00 + 15.00 * 3[/tex]

[tex]y = 45.00 + 45.00[/tex]

[tex]y = 90.00[/tex]

Hence, the amount is $90.00

Answer:-4

Step-by-step explanation:

Answer:

$72891.1094

Step-by-step explanation:

This method of saving is called sinking fund.

Future value (FV) =  A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])

Where A is the amortization, r is the rate and n the number of years.

A = $3000

r = 2% = 0.02

n = 20

FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]

     = 3000 * 24.2973698

     = 72891.1094

FV  = $ 72891.1094

The amount that would be in the account after 20 years is $72891.1094

Answer:

3(a+2b)

Step-by-step explanation:

5a+5b−2a+b

Multiply and combine like terms.

3a+6b

Factor out 3.

3(a+2b)

Answer:

29

Step-by-step explanation:

Answer:

angle ERT = angle YUP

Step-by-step explanation:

Answer:

since all sides are equal 3x = 180

you find the 180÷3

which is 60

Answer:

62 cm

Step-by-step explanation:

It's basically just a rectangle, so area formula for rectangle is base x height

Answer:

Area = 80 units²

Step-by-step explanation:

Given that:

a = 19 units

b = 9 units

c = 97°

Find the area of the triangle!

Area = ab(sin(c))/2

Area = [19×9×(sin(97))]/2

Area = 84.86 units²

Area = 80 units² ✅

______________

#IndonesianPride

- kexcvi -

Answer:

472×82=38704

Step-by-step explanation:

Prime factorization:

2^4×41×59

=============================================

Work Shown:

3(m+2) + 4(6+m)

3m+6 + 24 + 4m

(3m+4m) + (6+24)

7m+30

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

Explanation:

In the second step, I used the distribution rule a*(b+c) = a*b+a*c. We multiply the outer term by every term inside. So for instance 3(m+2) = 3*m+3*2 = 3m+6.  A similar situation applies to 4(6+m) as well. Afterward, I grouped and combined like terms.

We can think of 3m+4m = 7m as saying "I have 3 maps and someone gave me 4 more maps, so that means I have 3+4 = 7 maps now". The m is a place holder for any number.

Answer:

400ml of juice

Step-by-step explanation:

1 litre of water = 100ml of juice

4 litres of water =? ml of juice

to get from 1 litre to 4 litre of water you multiply by 4,so you do the same for the juice and multiply the juice by 4.

100×4=400

4 litres of water = 400ml of juice

Step-by-step explanation:

this is the cutest answer

10k + 37 hope this helps

Answer:

attachment plz

Step-by-step explanation:

nothing is being seen

cancelStep-by-step explanation:

10) there are infinity values for k

4(k-8)=-32+4k

4k-32=-32+4k

these two equal each other so any value is equal to k

12) there are no values for b

-(3-6b)=6b+5

-3+6b=6b+5

the b's  out and you are left with -3=5 which is impossible

Hope that helps :)

Answer:

10 is k= -4           i dont know 12 though... u dont have to give brainly to me.

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

If it is $10 for each GB, you would multiply the amount by 10.

You get $50.

Now you need to add the $24 to get $74 per month :)

Answer:

12.5%

Step-by-step explanation:

Given that,

Initial temperature of a piece of metal = 32°C

Final temperature of the piece of metal = 36°С

We need to find the percentage increase in the temperature of the piece of metal.​ The percentage increase in any value is given by the relation as follows :

[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]

So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.

Answer:

Discount percent = 43% off

Discount amount (money saved) = $75.25

Step-by-step explanation:

To find the discount percentage:

List price ($175) minus the sale price ($99.75) then divided by the list price ($175) and multiplied by 100 to get the discount percent of 43%.

To find how much money was saved:

List price ($175) minus sale price ($99.75) to get the amount saved, which savings are $75.25 in this case.

I hope this helps :)

Answer:

-6

Step-by-step explanation:

anything for sangwoo

The numeric value of this expression is -6!

[tex] \large \sf f(x) = 12 - 2x {}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot (-3){}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot 9 [/tex]

[tex] \large \sf f(-3) = 12 - 18 [/tex]

[tex] \boxed{ \boxed{{ \large \sf f(-3)=-6}}}[/tex]

Therefore, the result of this expression is f(-3)=-6. ✅

Answer:

The answer would be letter D. Valuable.

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that [tex]\mu = 8, \sigma = 1.1[/tex]

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]

This probability is the pvalue of Z when X = 9.3. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]

[tex]Z = 2.64[/tex]

[tex]Z = 2.64[/tex] has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 9. So

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

[tex]Z = \frac{9 - 8}{0.4491}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Answer:

2/5 minute OR 24 seconds

Step-by-step explanation:

4/10 = 2/5 minute

Hope that helps!

Answer:

y=5/3x

Step-by-step explanation: