A physical fitness association is including the mile run in its secondary school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 40 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.A) 0.0107 B) 0.9893 C) 0.5107 D) 0.4893

Answer:

See below for answers

Step-by-step explanation:

a) invNorm(0.66,1112,56) = 1153.097936 ≈ 1153 lbs

b) invNorm(0.94,1152,56) = 1199.067321 ≈ 1199 lbs

Answer:

x=25

Step-by-step explanation:

The angles 126 and (5x+1) are equal. The equation that is used is 5x+1=126.

To solve the equation, subtract 1 from both sides

5x+1-1=5x     126-1=125.

Simplify the equation. 5x=125

Divide both sides by 5.   5x/5=x     125/5=25

You would get x=25 eventually.

Answer:

i dont care

Step-by-step explanation:

irdc

Answer:

2/91.

Step-by-step explanation:

There are 15 marbles in the bag.

Prob(First draw is red) = 5/15 = 1/3.

Prob(Second draw is red) = 4/14 = 2/7.

Prob(Third draw is red) = 3/13.

So probability that all 3 are red = .1/3 * 2/7 * 3/13

= 6/273

= 2/91.

Answer:

$33.10

Step-by-step explanation:

$28.96 + $2.56 = $31.52

$31.52 * .05 = $1.576 (round up) $1.58

$31.52 + $1.58 = $33.10

Answer:

Step-by-step explanation:

Total without sales tax

Snorkel  =         28.96

Ear Plugs            2.56

Total                  31.52

Sales tax = 5% of Total  = 5/100 *31.52

Sales tax = 1.58 Rounded.

Total purchase = 33.10

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{102^2 - 98^2}[/tex]

[tex]\mathsf{102^2}[/tex]

[tex]\mathsf{= 102\times 102}[/tex]

[tex]\boxed{\mathsf{= \bf10,404}}\large\checkmark[/tex]

[tex]\mathsf{\bold{10,404} - 98^2}[/tex]

[tex]\mathsf{98^2}[/tex]

[tex]\mathsf{= 98\times 98}[/tex]

[tex]\boxed{\mathsf{=\bf 9,604}}\large\checkmark[/tex]

[tex]\mathsf{10,404 - \underline{9,604} = \boxed{\bf800}}\large\checkmark[/tex]

[tex]\rightarrow\mathsf{102^2 - 98^2 = \boxed{\bf 800}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 800}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

4

Step-by-step explanation:

He made the mistake in step 4

The correct step should be x +2 as two had the sign "-" when it was on the other side

Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

Step 1: f(x) = 4x - 2

Step 2: y = 4x - 2

Step 3: x = 4y - 2

Step 4: x + 2 = 4y  (add 2 on both sides)

Thus, Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.

Learn more about the function here:

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Answer:

<ADB = 75 degrees

Step-by-step explanation:

We know, a straight line has an angle of 180 degrees.

A = (180-143) = 37 degrees.

A + C = (37 + 38) = 75 degrees.

The angles of a triangle will always add up to 180 degrees.

<ADC = (180-75) = 105 degrees.

So,

<ADB = (180-105) = 75 degrees.

Hope, this will help. Please mark me brainliest.

Thank you.

Answer:

Around 0.73% of adults in the USA have stage 2 high blood pressure

Step-by-step explanation:

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 of 121 and standard deviation of 16.

This means that [tex]\mu = 121, \sigma = 16[/tex]

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

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

[tex]Z = \frac{160 - 121}{16}[/tex]

[tex]Z = 2.44[/tex]

[tex]Z = 2.44[/tex] has a p-value of 0.9927.

1 - 0.9927 = 0.0073

0.0073*100% = 0.73%

Around 0.73% of adults in the USA have stage 2 high blood pressure

Answer:

Step-by-step explanation:

area of a circular pool=πr^2

=3.14*(2)^2

=3.14*4

=12.56 m^2

Answer:

12.56 inches squared

Step-by-step explanation:

Radius= 2

Diameter= 4 (double the radius)

Pi= 3.14

Formula for finding area of circle= Pi x r squared

2 x 2= 4 (to find diameter)

4 x 3.14= 12.56

(to find area)

:)

Answer:

The median of this problem is 9

Step-by-step explanation:

d = √(15-10)²+(-6-3)²

=√5²+(-9)²

= √25+81

=√106

10.3 units

Answer:

mẹ 35 tuổi con 11 tuổi

Step-by-step explanation:

Answer:

me no speak espanol sorry

Answer:

We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218

Step-by-step explanation:

The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.

Answer:

a =55

b =16

c = 25

d = 9

Step-by-step explanation:

of means multiply  is means equals

20% of a is 11

.20 a = 11

Divide by .20

a = 11/.20

a=55

75% of b is 12

.75 b =12

Divide by .75

b = 12/.75

b = 16

80% of c  is 20

.80 c =20

Divide by .80

c = 20/.80

c =25

200% of d is 18

2.00 d = 18

Divide by 2.0

d = 18/2

d =9

Answer:

1-9 the answer is -8of the circle

Step-by-step explanation:

Answer:

ok so so here are the numbers equal to 6

1,5

5,1

2,4

4,2

3,3

so five options and there are 36 possible outcomes(6*6)

so 5/36 or 0.14

Hope This Helps!!!

The solution is,  the probability that the sum of the two dice is greater than or equal to six is 0.14.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we get,

You roll two six-sided dice numbered from one through six.

so here are the numbers equal to 6

1,5

5,1

2,4

4,2

3,3

so five options and there are 36 possible outcomes(6*6)

we get, sample space = 36

favorable outcome = 5

probability = 5/36

so 5/36 or 0.14

To learn more on probability click:

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Answer:

(2, 4)

Step-by-step explanation:

y = x + 2

3x + y = 10

3x + (x + 2) = 10

4x + 2 = 10

4x = 8

x = 2

y = (2) + 2

y = 4

Step-by-step explanation:

3x + y = 10

substituting the value of y = x + 2

=>3x + x+2 = 10

=>4x= 10-2

=>4x= 8

=>x= 8/4

=>x= 2

And, y= 2+2 = 4

Answer:

[tex]x = 70^o[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To solve for x, we make use of:

[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle

[tex]x + 110^o = 180^o[/tex]

Collect like terms

[tex]x = 180^o-110^o[/tex]

[tex]x = 70^o[/tex]

Answer:

A=5/2a^2(5+2√5)

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

305

[tex]305 + 305 + 315 + 315 + 285 + 285 + 310 + 310 + 290 + 280 + 300 = 3300 \div 11[/tex]

Answer:

an irational number is a number that can't be represented as a fraction but

0.2777775 can be represented as the fraction

111111 /400000

so no its not

Hope This Helps!!!

Answer:

Step--step explanation:

2/3 = 0.67

3/4= 0.75

So 2/3 < 3/4

Answer:

Option B is correct.

Step-by-step explanation:

[tex] \frac{2}{3} = 0.6666....[/tex]

[tex] \frac{3}{4} = 0.75[/tex]

[tex]0.666... < 0.75[/tex]

[tex]∴ \frac{2}{3} < \frac{3}{4} [/tex]

Answer:

x= 128

Step-by-step explanation:

x and 128 are vertical angles and vertical angles are equal

x= 128

Answer:

Question 1

Blank 1: 24m

Blank2: 42n

Question 2

Blank 1

164,340

Answer:

1rst Blank:  24 m

second blank :42

question 2 , Blank 1 : 164 , 340

I hope this helps!

Answer:

192

Step-by-step explanation:

Supplies = 2 model cost

               = 2*64 = 128

Total cost = model + supplies

                 = 64 + 128

                  =192