Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.

Answer:

C

Step-by-step explanation:

The rotation of 90 degree anti clockwise makes more sense as the reflection is across the x axis shows us a line of symmetry above after the rotation of 90 degree anticlockwise at x axis (0) so that the rectangle is reflected ito (-8,-3)) (-3,-3) (-8,-6) (-3,-6)

Proving that the rectangle is 5cm long and 3cm high after 90 degree rotation and reflection from y axis to the x axis position in the far left corner.

Answer:

x=30.6

Step-by-step explanation:

Answer:

x = 2 and x = -3

Step-by-step explanation:

We need to find the value of x in the below expression.

[tex]\sqrt{x+7} -1=x[/tex]

Adding 1 to both sides,

[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]

Squaring both sides,

[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]

Hence, this is the required solution.

[tex]\bf\huge x=2 [/tex]

Step-by-step explanation:

⟼ [tex]\sqrt{x+7} -1=x\\[/tex]

⟼ √x + 7 = x + 1

⟼ x + 7 = x² + 2x + 1

⟼ x + 7 - x² - 2x - 1 = 0

⟼ -x + 6 -x² = 0

⟼ x² + x - 6 = 0

⟼ (x-2) (x+3) = 0

⟼ x = 2 and x = -3

Therefore,

⟼ x = 2.

⟼ let take x = 2

⟼ [tex]\sqrt{x+7} -1=x\\[/tex]

⟼ √2+7 - 1 = 2

⟼ √9 - 1 = 2

⟼ 3 - 1 = 2

⟼ 2 = 2

Answer:

The other number is [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The product of two rational numbers, x and -8, is -12. This means that:

[tex]-8x = -12[/tex]

The other number is x, which we find solving the equation. So

[tex]8x = 12[/tex]

[tex]x = \frac{12}{8} = \frac{4}{3}[/tex]

The other number is [tex]\frac{4}{3}[/tex]

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

Answer:

Each playground will be 100 m2. Both playgrounds are 200 m2.

Area of square is defined by a × a.

a = length of side. In this case a is 10 m

So, Area = 10 m × 10m

Area = 100 m2 (square meters). This is the area of one playground.

Two playgrounds will be the double, 200 m2

Step-by-step explanation:

Answer:

It's a scalene triangle

Step-by-step explanation:

There are different types of triangle

The equilateral triangle which has all sides and angle equal i.e 60 degrees each

The isosceles triangle which has two sides and two angle equal

The right angle triangle which has an angle of 90 degrees

Scalene triangle which all the sides and angle are of different sizes

Answer:

54 unit ^2

Step-by-step explanation:

Well a formula for a rectangle is a=lw

So 6*9=54

The area is 54

Answer:

22

Step-by-step explanation:

a+b^2

= -3+(5^2)

= -3+25

=22

Answer:

6) D

7) B

8) J

9) A

10) A

11) L

12) I

Step-by-step explanation:

Hope this helped :)

Answer:

C gives you 90.2

Step-by-step explanation:

84+88+90+100=362

362/4=90.2

Answer: 4.5 x 10^-6

Answer:

4.05*10^-6

Step-by-step explanation:

To do this by hand, you need to understand the rules of scientific notation.

Answer:

$ 56 .0000

Step-by-step explanation:

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

Answer:

Option D vertical angles is your answer ☺️☺️

Answer:

Vertical angles

Step-by-step explanation:

∠WTU and ∠STZ are opposite each other; hence they are vertical angles.

Area =L×W

192=16W

192/16 =W

W=12cm

Answer:

The answer is in the explanation

Step-by-step explanation:

This question didn't provide much information to begin with. But since I got the same question as well, I'll help.

First off, we're given g(0) = -2.

Looking from the choices we're given, we're most likely going to have to choose an answer that makes most sense.

'g(x) = 0' doesn't make sense with this function because in 'g(0) = -2' we can see the our y-intercept is -2, not 0.

Another answer we're given is a table. Looking at the data, it doesn't match with the equation we're given.

Another answer choice we're given are multiple points that form a linear function. The points on the graph, however, don't match with 'g(0) = -2. Considering this is graph is showing a linear line, the point that would go with the function 'g(0) = -2 is (-2,0). In this answer choice, we don't see a point at either options.

This leaves us with the graph that displays a exponential line. We can however, see that there's a point that does match with this equation. That point is (0,-2). Considering this graph is showing an exponential line, one of the points for our function 'g(0) = -2' would be (0,-2).

- 2021 Edmentum

Answer: x =1/2

y = [tex]\sqrt{3}[/tex]/2

Step-by-step explanation:

Answer: √21/√pi

Step-by-step explanation: Surface area of ball is 4(pi)r^2. Divide 84 by 4 and get 21. Dividing 21 by pi and taking the square root therefore is the answer.

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

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 z-score 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 p-value, 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 100 and variance of 36.

This means that [tex]\mu = 100, \sigma = \sqrt{36} = 6[/tex]

Sample of 25:

This means that [tex]n = 25, s = \frac{6}{\sqrt{25}} = 1.2[/tex]

(a) P(X<99)

This is the pvalue of Z when X = 99. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{99 - 100}{1.2}[/tex]

[tex]Z = -0.83[/tex]

[tex]Z = -0.83[/tex] has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

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

[tex]Z = \frac{100 - 100}{1.2}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 98

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

[tex]Z = \frac{98 - 100}{1.2}[/tex]

[tex]Z = -1.67[/tex]

[tex]Z = -1.67[/tex] has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

Answer:

answers b, c, d, and e are all correct

Answer:

B, D and e

please mark me brainliest

Answer:

Yes, all of your answers are 100% correct

Step-by-step explanation:

You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.

Answer:

10.77 is correct answer

use x1=-5 ,x2=5

y1=4 y2=8

Answer: 7.5

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7.5%/100 = 0.075 per year,

then, solving our equation

I = 1200 × 0.075 × 2 = 180

I = $ 180.00

Answer:

0.73

Step-by-step explanation:I use khan too 0.7 is 10 times as great as 0.07