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3 years ago

Write the correct answer:

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

Answer:

-1 for question 1, -11 for question 2, 7 for question 3

Step-by-step explanation:

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The scores on a test are normally distributed with a mean of 30 and a standard deviation of 6. Find the score that is one dash h

Mashcka [7]

Answer:

Step-by-step explanation:

If it is asking for 1.5 standard deviations above the mean, it is 30 +1.5(6)=39

4 0

3 years ago

A round barbecue pit is 2 meters in diameter. What is the distance around the barbecue pit? A) 12.56 meters. B) 18.84 meters. C)

Pani-rosa [81]

The formula for circumference is 2×pi × r

We are given the diameter of 2 meters which means the radius is 1 meter. We will use 3.14 for pi.

2 × pi × r =
2 (3.14)(1) =
6.28

The distance around the barbecue pit is

C. 6.28 meters

3 0

3 years ago

Which point lies on a circle with a radius of 5 units and center at P(6,1)?

ryzh [129]

Answer:

Option B. $R(2,4)$

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

$(x-6)^{2}+(y-1)^{2}=5^{2}$

$(x-6)^{2}+(y-1)^{2}=25$

step 2

Verify each case

case A) $Q(1, 11)$

substitute the value of $x=1, y=11$ in the equation of the circle and then compare the results

$(1-6)^{2}+(11-1)^{2}=25$

$25+100=25$ ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) $R(2,4)$

substitute the value of $x=2, y=4$ in the equation of the circle and then compare the results

$(2-6)^{2}+(4-1)^{2}=25$

$16+9=25$ ------> is true

therefore

the ordered pair R lie on the circle

case C) $S(4,-4)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(4-6)^{2}+(-4-1)^{2}=25$

$4+25=25$ ------> is not true

therefore

the ordered pair S not lie on the circle

case D) $T(9,-2)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(9-6)^{2}+(-2-1)^{2}=25$

$9+9=25$ ------> is not true

therefore

the ordered pair T not lie on the circle

7 0

3 years ago

Write each number in standard form 6.7x10 to the 1 power

e-lub [12.9K]

<h2>Answer: 67</h2>

Step-by-step explanation: 6.7 x 10^1 = 67

8 0

3 years ago

factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world

rusak2 [61]

Answer:

$\huge\boxed{3a^2(a^3-6a+2)}$

Step-by-step explanation:

$\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}$

Hope this helped!

5 0

3 years ago