6 Write 89.4945 correct to (a) nearest whole number, [1] (b) two decimal places. ​

Answers

Answer 1

Answer:

a)89

b)89.45

Step-by-step explanation:


Related Questions

The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75 beats per minute. Let x be a random variable that represents the resting heart rate for an adult horse. Assume that x has a distribution that is approximately normal.

Required:
a. What is the probability that the heart rate is less than 25 beats per minute?
b. What is the probability that the heart rate is greater than 60 beats per minute?
c. What is the probability that the heart rate is between 25 and 60 beats per minute?

Answers

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

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.

Mean:

[tex]\mu = 47[/tex]

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

[tex]4\sigma = 75 - 19[/tex]

[tex]4\sigma = 56[/tex]

[tex]\sigma = \frac{56}{4} = 14[/tex]

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

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

[tex]Z = \frac{25 - 47}{14}[/tex]

[tex]Z = -1.57[/tex]

[tex]Z = -1.57[/tex] has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

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

[tex]Z = \frac{60 - 47}{14}[/tex]

[tex]Z = 0.93[/tex]

[tex]Z = 0.93[/tex] has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Any help 13 points

If the price of tacos is $1.75, how many will consumers buy?

Answers

Answer:

B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos

At Marco’s school, 5/8 of the students are in the band. What percent of the students are in the band?

Answers

63 percent of students are in the band!

What is 2 3 of 99kg?

Answers

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{99}{1} = 66 \: kg[/tex]

The triangle has area of 72cm^2 and base of 18cm find the perpendicular height of the triangle​

Answers

Answer:

The height is 8 cm

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

72 = 1/2 (18)h

72 = 9h

Divide each side by 9

72/9 = 9h/9

8 = h

The height is 8 cm

Answer:

8cm

Step-by-step explanation:

let y represent height

Area of a triangle=½base×height=72cm²

72cm²=½×18cm×y

72cm²=9cmy

72cm²/9cm=9cmy/9cm

8cm=y

Find the value of x in the given figure using properties of parallel lines.

Answers

Answer:

x =42

Step-by-step explanation:

x and 138 are same side interior angles.  Same side interior angles are supplementary when the lines are parallel

x+138 = 180

x = 180-138

x =42

Answer:

42°

Step-by-step explanation:

138° + x = 180°

180° - 138° = 42°

What is Start Fraction 5 Over 8 End Fraction divided by One-fourth?

Answers

Answer:

2.5

Step-by-step explanation:

5/8 ÷ 1/4

Division sign changes to multiplication and the reciprocal of the divisior is used to multiply instead :

5/8 * 4/1

= (5*4) / (8*1)

= 20 / 8

= 2.5

Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is 6 miles south and Casey is 8 miles east. At this time, Noel is walking at a rate of 2 mph and Casey is walking at a rate of 1 mph. How fast is the distance between them increasing at this time

Answers

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

[tex]n_1 =6miles[/tex]

[tex]r_1 = 2mph[/tex]

Casey

[tex]c_1 = 8miles[/tex]

[tex]r_2 =1mph[/tex]

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At [tex]n_1 =6miles[/tex] and [tex]c_1 = 8miles[/tex]

The distance between them is:

[tex]d_1 = \sqrt{n_1^2 + c_1^2}[/tex]

[tex]d_1 = \sqrt{6^2 + 8^2}[/tex]

[tex]d_1 = \sqrt{100}[/tex]

[tex]d_1 = 10miles[/tex]

After 1 hour, their new position is:

New = Old + Rate * Time

[tex]n_2 = n_1 + r_1 * 1[/tex]

[tex]n_2 = 6 + 2 * 1 = 8[/tex]

And:

[tex]c_2 = c_1 + r_2 * 1[/tex]

[tex]c_2 = 8 + 1 * 1 = 9[/tex]

So, the distance between them is now:

[tex]d_2 = \sqrt{n_2^2 + c_2^2}[/tex]

[tex]d_2 = \sqrt{8^2 + 9^2}[/tex]

[tex]d_2 = \sqrt{145}[/tex]

[tex]d_2 = 12.04[/tex]

The rate of change is:

[tex]\triangle d = d_2 -d_1[/tex]

[tex]\triangle d = 12.04 -10[/tex]

[tex]\triangle d = 2.04[/tex]

add negative 4 plus negative 6​

Answers

-10

thats it, thats what i know

12. Mr. Ellis bought several rose bushes
for $65 each. He was charged a $15
delivery fee. If r represents the number
of rose bushes, which expression
can be used to find the total cost of
Mr. Ellis' purchase?
A 150 - 65
B 65r + 15
c 15(r + 65)
D 651 - 15

Answers

Answer:

B

Step-by-step explanation:

Because every rose bush costs $65 and it's charged with a $15 delivery fee.

Write an equation and solve for angle G? Show work

Answers

Answer:

50

Step-by-step explanation:

Complementary angles mean that the sum of the angles given is 90°. Therefore, as G and H are complementary, this means that G+H=90

G+H=90

(2x+10) + (x+20) = 90

Add values on left side

3x+30=90

Subtract 30 from both sides

3x=60

Divide both sides by 3

x=20

Since we now know the value of x, we can plug that in to G (2x+10) to get 2(20)+10 = 50 = G

A group of campers is going to occupy campsites at a campground. There are 16 campsites from which to choose. In how many ways can the campsites be​ chosen?

Answers

Answer:

The campsites can be chosen in 5,765,760 different ways.

Step-by-step explanation:

Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:

16 x 15 x 14 x 13 x 12 x 11 = X

240 x 182 x 132 = X

240 x 24,024 = X

5,765,760 = X

Therefore, the campsites can be chosen in 5,765,760 different ways.

A line contains the points (2,4) and (−6,−2).

Which equation represents the line?






a. y+2=4/3(x+6)

b. y−2=3/4(x−6)

c. y−2=4/3(x−4)

d. y−4=3/4(x−2)

Answers

Answer:

D) y-4=3/4(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-4)/(-6-2)

m=-6/-8

simplify

m=3/4

y-y1=m(x-x1)

y-4=3/4(x-2)

Which ordered pair is a solution to the system of inequalities graphed here?
A. (1-2)
B. (-3,3)
C. (-2, 6)
D. (1.4)

Answers

Answer:

A. (1-2)

Step-by-step explanation:

I got it right on the exam

A. (1-2) hehehehe byeeeeeee

Urelia made a deposit to her checking account. She had $104.00 in currency: $7.64 in coins; and checks for $83.29, $257.77, $1,332.68, and $3,984.05. What
was her total deposit?
$5,769.43
$6,126.43
$5.985.43
$6,432.43
None of these choices are correct.

Answers

Answer: $5,769.43

Step-by-step explanation:

For us to get the value of the total deposit, we have to add all the deposits together whether they're cash deposits or check deposit. This will be:

= $104.00 + $7.64 + $83.29 + $257.77, $1,332.68 + $3,984.05

= $5,769.43

Therefore, the total deposit is $5,769.43

shirly spelled 12 0f her 15 spelling words correctly on the test what percent grade did she get on the test​

Answers

Answer:

80%

Step-by-step explanation:

Because Shirly spelled 12 out 15 correctly, she got a 12/15, which is equal to 4/5 or 80%

Jenna is buying four new shirts at $20 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?

20 times 4 = 80

20/4 = 80

4 times 20 = 80

20 + 20 + 20 + 20 =80

Answers

Answer:

20/4

Step-by-step explanation:

Because that would mean 20 divided by 4 which wouldn't accumulate to 80

Please help will mark BRAINLIEST!!!

Answers

Answer:

b, c, a

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.

This triangle has 2 given angles, 50° and 60°.

We can find the measure of the third angle, x.

50 + 60 + x = 180

x + 110 = 180

x = 70

The three angles have measures 50°, 60°, and 70°.

The shortest side is opposite the smallest angle. That is side a.

The longest side is opposite the largest angle. That is side b.

The order from longest to shortest is

b, c, a

Use the grouping method to factor this polynomial.
x3 + 2x2 +7x+14
ANSWER ASAP!

Answers

ANSWER:-

(x²+7)(x+2)

hope it helps

have a nice day

How many one-to-one correspondences are there between two sets with

6 elements each?

Answers

Answer:

6 * 5 * 4 * 3 * 2 * 1, i.e. 6! or 720. Of course, since both sets have the same number of elements, you can't have one-to-one without being onto, aka a surjection, so “one to one correspondence” is the right term (or bijection—merci, M.

Step-by-step explanation:

mark me as BRAINLIEST

follow me

carry on learning

100%sure

What are the characteristics of a density curve? Select all that apply.
A. The total area under the curve is always 1.
B. The area between any two points is always 0.5.
C. The curve always falls on or above the horizontal axis.
D. The percentage of values between any two points is the area of the figure
formed by the curve and the x-axis.

Answers

Answer:

b

Step-by-step explanation:

From the characteristics of a density curve, option (A), (C), (D) are the correct answers.

What is a density curve?

A density curve is a graph that shows probability. It is an idealized representation of a distribution in which the area under the curve is defined to be 1.The area under the curve is equal to 100 percent of all probabilities.

For the given situation,

Properties of density curves

• A density curve is always on or above the horizontal axis.

• The area underneath a density curve is exactly 1.

• The area under a density curve and above any range of values is the

relative frequency of all observations that fall in that range.

Hence we can conclude that from the characteristics of a density curve, option (A), (C), (D) are the correct answers.

Learn more about density curve here

https://brainly.com/question/18345488

#SPJ2

your teacher for the discussion-based assessment.
In circle D, LEDH LEDG.
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
E
57"
9
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
F
D
J
H
669
G
2.
In OK, mZHKG=x+ 10 and
MZIKI = 3x - 22. Find m F).
74K
F
F
3. Find MLADB
OG with FA and FE tangent at A and E.
4. Find m2ABD
А
F
5. Find mzAFE
82
B
G
6. Find mLACE
E
1489
H Н
VOD

Answers

Answer:

3

Step-by-step explanation:

z =x^2-y^2 for find the domain​

Answers

Answer:

R^2

Step-by-step explanation:

The domain for z =x^2-y^2 is R^2 ,where is the set of all real numbers.

the sum of two consecutive numbers is 2x+3. What are the numbers

Answers

Answer: 2 and 3

Step-by-step explanation:

its numbers

What is the measure of E, in degrees?
5
48°
F

Answers

Answer:

A) 84°

Step-by-step explanation:

Since ED=EF=5

then F=D=48°

Then E=180°-48°-48°=84°

You buy 4 pencils at $0.30 each. You receive $0.80 back in change. How much money did you give
the cashier?

Answers

Total cost of the pencils is the number of pencils x the price per pencil:

4 x 0.30 = $1.20

Now add what you got back for change:

1.20 + 0.80 = 2.00

You gave the cashier $2.00

Complete the point-slope equation of the line through (-5,7) and (-4,0)

y-7=?

Answers

Slope rule = y2-y1/x2-x1

Slope = 0-7/-4+5= -7/1= -7

Slope = -7

Best of wishes and good luck!!

Find N(4) for the function, N(u)=4.

Answers

Answer:

D is your answer.

Step-by-step explanation:

hope you get  it right.

⭐❤

Which step in the solution contains the first error ?? Please helpp

Answers

Answer:

step 4 I believe

Step-by-step explanation:

the step in the solution that contains the first error is step 4

1. Leo ran around the track three times. The track was 400 meters. How many kilometers did he run altogether?​

Answers

1.2k kilometers because 3(4)=12 it works the same in the 100’s. 3(400)=1200.
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