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Scorpion4ik [409]

3 years ago

13

Curtis decided to go on a road trip to Canada. on the first day of his trip he drove for 15 hours and traveled 960 miles. at wha

t rate did he travel on the first day in miles per hour

2 answers:

Ede4ka [16]3 years ago

7 0

Divide 960 by 15

960/15 equals 64

so it's 64 miles per hour

frosja888 [35]3 years ago

4 0

15hours/960miles equals 64m/h

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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1491 and the standard deviati

Alinara [238K]

Answer:

$z(1910)=1.3429\\\\z(1230)=-0.9006\\\\z(2190)=2.2404\\\\z(1380)=-0.3558$

Step-by-step explanation:

-Given the population mean is $\mu=1491$ and the standard deviation is $\sigma=312$ , we calculate the z-scores using the formula:

$z=\frac{\bar x-\mu}{\sigma}$

#The z-score for 1910 can be calculated as:

$z(1910)=\frac{x-\mu}{\sigma}\\\\=\frac{1910-1491}{312}\\\\=\frac{419}{312}\\\\=1.3429$

#The z-score for 1230can be calculated as:

$z(1230)=\frac{x-\mu}{\sigma}\\\\=\frac{1230-1491}{312}\\\\=\frac{-281}{312}\\\\=-0.9006$

#The z-score for 2190 is calculated as follows:

$z(2190)=\frac{x-\mu}{\sigma}\\\\=\frac{2190-1491}{312}\\\\=\frac{699}{312}\\\\=2.2404$

#The z-score for 1380 is calculated as:

$z(1380)=\frac{x-\mu}{\sigma}\\\\=\frac{1380-1491}{312}\\\\=\frac{-111}{312}\\\\=-0.3558$

7 0

3 years ago

Express 3.01 as a mixed number

Len [333]

The three would be the whole number while 01 would be the fraction. And since the 1 is 2 places from the decimal it would mean that it is going to be out of 100. Therefore the answer is 3 1/100

8 0

4 years ago

Please help.... me on this question

Sonja [21]

Answer:

a = 30 degrees; b = 60 degrees; and c = 105 degrees.

Step-by-step explanation:

Angle a and the 30 degree angle are vertical angles and thus are equal.

Since the interior angles of a triangle always add up to 180 degrees, 30 + b + 90 degrees = 180 degrees, so that b must be 60 degrees.

Angle c and the 75 degree angle are straight angles, and so their sum must be 180 degrees. Thus, c = 105 degrees.

8 0

3 years ago

Who can help me ! <br> .... thanks

Tasya [4]

Given that there is no any option to choose I am going to help you according to the concepts of Congruent Triangles. Two triangles are congruent if and only if:

1. They have:exactly the same three sides
2. exactly the same three angles.

<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.

First Answer:

<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>

So:

If ∠BAC = ∠DEF and $\overline{AC}=\overline{DE}$

<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>

Second answer:

<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>
$If \ \overline{AC}=\overline{DE} \ and \ \overline{BC}=\overline{DF}$

<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>

4 0

4 years ago

In a square with side length of 6, what is the distance between the center of the square and the center of the largest equilater

Vanyuwa [196]

Place the right angle at the origin. Short leg on x-axis.
The forth corner of the square is the point on the hypotenuse where the line y = x intersects. (Draw a diagram!)
In this case the hypotenuse is y = -4x/3 + 8
x = -4x/3 + 8
7x/3 = 8
7x = 24
x = 3.428571429

8 0

3 years ago