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pshichka [43]
3 years ago
5

Please help I will give brainliest if its correct :) Question is in picture

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Answer:

2.5

Step-by-step explanation:

Ann [662]3 years ago
4 0

Answer:

2.5 inches

Step-by-step explanation:

radius = half of diameter

5 / 2 = 2.5

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Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10
Tju [1.3M]

Answer: 0.8238

Step-by-step explanation:

Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with \mu=106 and \sigma=15.

Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.

Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-

P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]

Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238

4 0
3 years ago
What is the range of the following function:<br> y = 2(5^x) - 1
Orlov [11]
<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

<h2>Why?</h2>

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

5 0
3 years ago
What else would need to be congruent to show that ABC =XYZ by SAS?<br> Given:<br> AB=XY<br> A=X
Sati [7]

ABC = XYZ  by  SAS

AB = XY    -     Side

A = X         -    Angle

So you want to find another congruent <em>side</em>.

Removing the taken possible side, two sides can be congruent.

Either :

BC = YZ

<em>OR</em>

AC = XZ

5 0
3 years ago
Read 2 more answers
Find what is asked for:​
BaLLatris [955]
Ummmmmmmmmm let me think
6 0
3 years ago
A triangle has angles in the ratio 3:10:2 what is the size of the largest angle x?
Annette [7]

Answer:

B

Step-by-step explanation:

let the angles be 3k,10k,2k

then 3k+10k+2k=180

15k=180

k=180/15=12

x=10k=10×12=120°

5 0
3 years ago
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