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Answer:

84.1% of all values in a normal distribution have z ≤ 1.00.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The percent of all values in a normal distribution for which z ≤ 1.00.

This is the pvalue of Z = 1.

Z = 1 has a pvalue of 0.8413.

Converting to percentage, to the nearest tenth.

84.1% of all values in a normal distribution have z ≤ 1.00.

Answer:

[tex] \purple { \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

Step-by-step explanation:

[tex] \sin \: 39 \degree = \frac{x}{25} \\ 25 \times \sin \: 39 \degree = x \\ \huge \red{ \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

Answer:

1 13/50

Step-by-step explanation:

4 1/5 * 3/10

Change the mixed number to an improper fraction

4 1/5 = (5*4+1)/5 = 21/5

21/5 *3/10

63/50

Changing back to a mixed number

1 13/50

Answer:

1 13/50

Step-by-step explanation:

4⅕ × 3/10

21/5 × 3/10

63/50

1 13/50

Answer:

18

Step-by-step explanation:

volume= r × h = 2 × 9= 18

Answer:

The volume is 144[tex]\pi[/tex].

Step-by-step explanation:

In order to calculate the volume of a cylinder, you have to find the area of it's base. Because a cylinder's base is a circle, you use the formula A=[tex]\pi r{2}[/tex]. Substituting in the radius's length would be A=[tex]\pi (4){2}[/tex], which is A=16[tex]\pi[/tex]. Now that we know the base area of the cylinder, we multiply it by the height, which is 9 to calculate the volume. Therefore, the volume of the cylinder would be 9×16[tex]\pi[/tex], which is 144[tex]\pi[/tex].

Answer:

(4,3)

Step-by-step explanation:

f(x) = a(x-h)^2 +k is the vertex form of a parabola

where (h,k) is the vertex

f(x) = (x-4)^2 +3

    yields a  vertex of (4,3)

Answer: The answer is A 4,3

Step-by-step explanation:

Answer:

A = 63.63 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 = 9/2 = 4.5

A = 3.142 * (4.5)^2

A =63.6255 m^2

Rounding to 2 decimal places

A = 63.63 m^2

Answer:

x = 0

Step-by-step explanation:

2x + 15 = x + 15 (Because STUR is a parallelogram) -->

x = 0

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

Answer:

2401x^8y^12

Step-by-step explanation:

You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

Answer:

5 ounces

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.

Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.

The probability that the first cube has the number 6 is: 1/6

The probability that the second cube has the number 6 is: 1/6

We need to multiply this numbers because they both have to be 6 (rule of multiplication),

so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]

Thus, the probability that the sum of them equals 12 is 1/36

Answer:

8 days.

Step-by-step explanation:

To solve this, we will need to divide fractions to find the amount of days his fuel will last. Remember that when dividing fractions, you need to multiply by the reciprocal of the fraction.

We can do this by:

[tex]\frac{4}{5} * \frac{10}{1} = \frac{40}{5} = 8[/tex]

Therefore, his gas will last 8 days.

Answer:

8

Step-by-step explanation:

number of days=total fuel÷consumption per day

=(4/5)÷(1/10)

=4/5 ×10/1

=8 days

Answer:

The big bang is showing that there is tiny atoms. The atoms grouped up with gravity and more and more grouped making a super dense dot. The dot exploded making gases creating stars. The stars were bigger so they got new atoms to join creating planets. One planet named was suitable for life so tiny germs. The rest nobody knows.

Step-by-step explanation:

Answer:

The novel has 2160 pages.

Step-by-step explanation:

The number of pages of the novel is x.

Mica has read 1/2 of the novel, so x/2 = 0.5x.

Denise has read 2/5 of the novel, so 2x/5 = 0.4x.

Mica has read 216 pages more than Denise

This means that:

0.5x - 0.4x = 216

0.1x = 216

x = 216/0.1

x = 2160

The novel has 2160 pages.

Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you please don't forget to thank me ...

For the polynomial P (x) = 4x³ + cx² +x + 2 the value of c is -13.

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

The given equation of polynomial is,

P (x) = 4x³ + cx² +x + 2         (1)

Since, When polynomial is divided by  x-2, and x+1 it gives the same remainder,

This implies that at x=2 and x=-1, the value of the polynomial will be equal.

P(2)=P(-1)

4×(2)³+c(2)²+2+2=4×(-1)³+c(-1)²+(-1)+2

32+4c+4=-4+c+1

3c=-3-36

3c=-39

c=-13

So, the value of c is -13.

To know more about Polynomial on:

https://brainly.com/question/11536910

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ANSWER: D.180

EXPLANATION:  A straight angle is 180 degrees

A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.

Answer:

Probabilty of winning the next two matches in a row = 1/9

Step-by-step explanation:

The total number of possible outcome = 3

(Win, lose, draw)

The probability of obtaining a win in a single match = 1/3

The probability of winning in two rows is 1/3² = 1/9

Answer:

Cylinder

Step-by-step explanation:

The given geometric shape is of a cylinder.

Answer:

Cylinder

Step-by-step explanation:

The shape will make a cylinder if put together.

Surface area = [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x 3 x 3 x 3 = 3.14 x 4 x 3 x 3 = 113.04 yd^2 = approx. 113.1 yd^2

Answer:

No. He did not check the point in the second equation.

Step-by-step explanation:

Took the assignment

Answer:

no he did not check his second equation

Step-by-step explanation:

Just took it hope this helps.

Answer:

Step-by-step explanation:

Answer:

hi buddy

the answer is a if we divide both with equation 4 then you can get the answer

hope it likes you.....

please mark brainlist

Answer:

2t^3+15t^2+19t+6

Step-by-step explanation:

(t^2+7t+6)(2t+1)

=t^2*2t+t^2*1+7t*2t+7t*1+6*2t+6*1

=2t^3+15t^2+7t+12t+6

=2t^3+15t^2+19t+6

Answer: 5

Step-by-step explanation: As a rule, parallel lines will always have the same slope. What that means is that if you're told that 2 lines are parallel, the slopes will be exactly the same for both of them.

So if the green line has a slope of 5, the red

line also has a slope of 5.

Answer:

7 is D and 8 is D

Step-by-step explanation:

I'm assuming you were asked for the volume of both of these.

7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.

8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.

Answer:

Yes (2,1) is a solution to the equation

Step-by-step explanation:

Answer:

y = -2​

Step-by-step explanation:

-7y -3=11​

Add 3 to each side

-7y -3+3=11+3

-7y = 14

Divide by -7

-7y/-7 = 14/-7

y = -2​

Answer:

Hello,

y = -2

Step-by-step explanation:

-7 y - 3 = 11​ ⇔ -7 y - 3 + 3 = 11 + 3 ⇔ -7 y = 14 ⇔ y = 14 / -7 ⇔ y = -2

Answer:

1. At 1/3 cup per person, the amount of tomato juice needed is [tex]1\tfrac{1}{3} \ cups[/tex] of tomato juice

2. At 2/3 cup per person, the amount of tomato juice needed is [tex]2\tfrac{2}{3} \ cups[/tex]  of tomato juice

Step-by-step explanation:

1. Here we have that each person gets 1/3 cup of juice

Number of people in the group = 4

Amount of tomato juice each person gets = 1/3 cup

Total amount of tomato juice required = 4 × 1/3 = 4/3 cups of tomato juice

In proper fractions, we have;

Total amount of tomato juice required = [tex]1\tfrac{1}{3} \ cups[/tex] of tomato juice.

2. Where we have that;

Amount of tomato juice each person gets = 2/3 cup

Number of people in the group = 4

∴ Total amount of tomato juice required = 4 × 2/3 = 8/3 cups of tomato juice

In proper fractions, we have;

Total amount of tomato juice required = [tex]2\tfrac{2}{3} \ cups[/tex] of tomato juice.