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Alexeev081 [22]
2 years ago
9

Sasha can walk 6 miles in 3 hours. If she has to walk 1 mile, how long will it take her?

Mathematics
2 answers:
FromTheMoon [43]2 years ago
5 0

6 Miles in 3 Hours (remember this)

In order to change 6 miles to 1 mile we divide by 6. Now do the same for the 3

3 / 6 = 0.5 hours and 0.5 of a hour is 30 mins

30 mins is your answer

kvv77 [185]2 years ago
4 0
30 mins or 1/2 hour
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A circle has diameter of 11cm
dlinn [17]

Since length of diagonal (  Diagonal= 9.9cm ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without touching the edge of the circle.

<u>Step-by-step explanation:</u>

Here we have , A circle has diameter of 11 cm  A square has side length of 7 cm . Use Pythagoras’ Theorem to show that the square will fit inside the circle without touching the edge of the circle . Let's find out:

We know the concept that for any square to fit inside the circle without touching the edge of circle  , diagonal of square must be less than diameter of circle  . Let's find out length of diagonal by using Pythagoras Theorem :

Hypotenuse ^2 = Perpendicular^2+Base^2

For a square , Perpendicular = base = side

⇒ Diagonal^2 = 2(side)^2

⇒ Diagonal= \sqrt{2}(side)

⇒ Diagonal= \sqrt{2}(7)

⇒ Diagonal= 9.9cm

Since length of diagonal (  Diagonal= 9.9cm ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without ruching the edge of the circle.

5 0
2 years ago
A math teacher tells her students that eating a healthy breakfast on a test day will help their brain function and perform well
kogti [31]

Answer:

Step-by-step explanation:

Hello!

To test the claim that eating a healthy breakfast improves the performance of students on their test a math teacher randomly asked 46 students what did they have for breakfast before they took the final exam and classified them as:

<u>Group 1</u>: Ate healthy breakfast

X₁: Number of students that ate a healthy breakfast before the exam and earned 80% or higher.

n₁= 26

<u>Group 2: </u>Did not eat healthy breakfast

X₂: Number of students that did not eat a healthy breakfast before the exam and earned 80% or higher.

n₂= 20

After the test she counted the number of students that got 80% or more in the test for each group obtaining the following sample proportions:

p'₁= 0.50

p'₂= 0.40

The parameters of study are the population proportions, if the claim is true then p₁ > p₂

And you can determine the hypotheses as

H₀: p₁ ≤ p₂

H₁: p₁ > p₂

α: 0.05

Z= \frac{(p'_1-p'_2)-(p_1-p_2)}{\sqrt{p'(1-p')[\frac{1}{n_1} +\frac{1}{n_2}] } } }≈N(0;1)

pooled sample proportion: p'= \frac{x_1+x_2}{n_1+n_2} =\frac{13+8}{46} = 0.46

Z_{H_0}= \frac{(0.5-0.4)-0}{\sqrt{0.46(1-0.46)[\frac{1}{26} +\frac{1}{20}] } } }= 0.67

p-value: 0.2514

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value: 0.2514 is greater than the significance level 0.05, the test is not significant.

At a 5% significance level you can conclude that the population proportion of math students that obtained at least 80% in the test and had a healthy breakfast is equal or less than the population proportion of math students that obtained at least 80% in the test and didn't have a healthy breakfast.

So having a healthy breakfast doesn't seem to improve the grades of students.

I hope this helps!

5 0
2 years ago
22 customers are eating dinner at an Italian restaurant. Of the 22 customers, 18 order pizza, 10 order a salad, and 8 order pizz
Ne4ueva [31]

Answer:

Step-by-step explanation:

P(A) = 18/22

P(B) = 10/22

P(A and B) = 8/22

P(A or B) = 18/22 * 10/22 = 0.37

4 0
2 years ago
Which normal distribution has the greatest standard deviation? A normal distribution is shown. The curve peaks at 96 and hits th
s2008m [1.1K]

Answer:

A) Case A we dont rally have a nrmal distribution in case C

(See step by step explanation)

Step-by-step explanation:

Normal Distribution curve is a function of mean and standard deviation with these values we can plot the curve. The mean usually denoted by  μ will show the most frecuent value of the population ( or sample ) and the standard deviation is a measure of the spread of the values around the mean. If we assume that for hitting the axis we should understand that the two given values  are the end of the curve, then we can evaluate how spread is each of the curve then:

case A    115  -  75   =  40

case B      72 -  48  =   24

case C      We do not touch  x -axis in this case so  curve is open we can  find distribution values (theoretically) from -∞   to  +∞  we dont really have a normal distribution in this case.

case D  38  - 28  =  10

Then if we dismiss case C the biggest standard deviation will be case A.

Note: we do not need to calculate standard deviation we just need to look how width it is

6 0
2 years ago
Read 2 more answers
Which features are present in this polar graph?
kherson [118]

Answer with explanation:

When point (x,y) in two dimensional plane is converted to polar plane,that is in terms of (r,α)

1. Origin (0,0)→Pole

2. x=0,y=0 becomes can be written as→ equation of polar axis,which is equal to 0.

the two curves drawn here has following line of symmetry

1. Symmetry along four lines of blade shaped curve,one along polar axis that is x=0,y=0 and two along,x=y and y=-x.

2. The curve which is in the shape of Cardioid has 1 line of symmetry that is , x=0.

The features which are present in the polar graph

Option:

A. Symmetry about the line  

B. Symmetry about the polar axis = 0

5 0
2 years ago
Read 2 more answers
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