Dear Math Students, I have to divide 5 cups in half for a recipe. Here's what I did: 5÷1/2= 5 x 2/1 =10 I know I did the division correctly, but my answer should be less than 5, not more. Can you explain my mistake and help me fix it? Your friend, Puzzled Penguin​

70 + 60 + 8x + 2 = 180

132+8x= 180

8x= 180-132

8x=48

x= 6

plug in x

8(6)+2 = 50

Answer:

x = 6

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

To find the value of x, we can use the following equation:

70 + 60 + 8x + 2 = 180

132 + 8x = 180

8x = 48

x = 6

The length of two sides is given as 17 cm and 5 cm, then the length of side YZ by Pythagoras' theorem will be equal to 16.25 cm.

According to the Pythagoras theorem, the square on the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of squares of the remaining two sides.

As per the given values in the question,

The length of two sides is given as 17 cm and 5 cm.

As per Pythagoras' theorem,

h² = p² + b²

17² = 5² + b²

b² = 289 - 25

b = √264

b = 16.25 cm.

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The probability of getting 3 twice in a row is 1/36

A spinner has 6 equal parts labeled from 1 to 6.

The spinner is spun twice.
First time what is the conditions {1,2,3,4,5,6}

Second time choices are

{1,1} {1,2} {1,3} {1,4} {1,5} {1,6}

{2,1} {2,2} {2,3} {2,4} {2,5} {2,6}

{3,1} {3,2} {3,3} {3,4} {3,5} {3,6}

{4,1} {4,2} {4,3} {4,4} {4,5} {4,6}

{5,1} {5,2} {5,3} {5,4} {5,5} {5,6}

{6,1} {6,2} {6,3} {6,4} {6,5} {6,6}

So we have total 6*6 = 36 choices

{3,3} comes only 1 times.

We know the formula for probability:

Probability(Event) = Favorable Outcomes/Total Outcomes.

Favorable Outcomes = 1.

Total Outcomes=36.

So the probability of getting a 3 twice in a row is 1/36.

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Answer:

Slope: -4/3

y-intercept: -9

Step-by-step explanation:

hope it helps!

Answer:

5≥17

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope =

[tex] \frac{change \: in \: y}{change \: in \: x} [/tex]

X1=2 X2=7

Y1=-1 Y2=-1

hence

[tex] \frac{ - 1 - ( - 1)}{7 - 2} [/tex]

[tex] \frac{ - 1 + 1}{7 - 2} [/tex]

[tex] \frac{0}{5} [/tex]

[tex]slope = 0[/tex]

The size of the sample that she would have to get a margin of error less than 0.03 is 752

We have the margin of error E = 0.03

The confidence interval C I = 90 percent

p = 1 - p = 0.5

z α / 2 = 1.645

The formula for the sample size is given as

(z α / 2 / E)² * p * (1 - p)

(1.645 /  0.03)² * 0.5 * 0.5

= 54.833² * 0.5 *0.5

= 752

Hence n is given as 752. The size of the sample would have to be 752.

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The number of people who ranked vanilla first out of total 60 people is 2.

For the stated question-

Total number of people = 60.

vanilla last: 3/5×60 = 36

vanilla before chocolate: 1/10×60 = 6

vanilla before strawberry: 1/3×60 = 20

Rank of 3 flavours are-

    1st place    | 2nd place   | 3rd place

Thus,

vanilla last : 3/5 = 36

C + E = 36   ...eq 1

Vanilla ahead of Chocolate -1/10

A + B + F = 6   ...eq 2

Vanilla ahead of Strawberry- 1/3

A + B + D = 20   ...eq 3

Add all three equations-

A + B + F + A + B + D + C + E = 36 + 6 + 20

A + B + A + B + C + D + E + F = 62

60 people with no ties;

A + B + C + D + E + F = 60

A + B + A + B + C + D + E + F = 62

A + B + 60 = 62

A + B = 62 - 60

A + B = 2

Thus, the number of people who ranked vanilla first is 2.

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i)The probability that the play will go to the left is 0.659

ii)the probability that the play will go the right is 0.341

iii) The direction I would prepare to defend if I saw the balanced stance if I were the line breaker is It's better to be ready to protect the left side since the likelihood of a play coming via that side so when the right tackle has a balancing stance is nearly double that of a play going it through right because when right guard maintains a neutral position.

Taking the left first

When play travels via the left 30% of the time, the right guard assumes a balanced stance 90% of the time, for a total of 0.9 0.3 = 27%.

- He adopts a new posture. 10% of the time, play goes through the left = 0.1 0.3 = 3% of the time.

70% of the time, play goes through the right.

- He takes a balanced posture 20% of the time that play travels through the right, for a total of 0.7 0.2 = 14%.

- He assumes a shift stance 80% of the time that play travels via the right, for a total of 0.7 0.8 = 56%.

The right guard then assumes a balanced posture 27% of the time + 14% of the time = 41% of the time.

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The sum of ellies's age and genya's age is 60. in six years, genya will be eigth times as old as ellie now ellie old is 2 years.

Given:

the sum of ellies's age and genya's age is 60. in six years, genya will be eigth times as old as ellie will be.

Let x and y be the ellie's and genya's ages.

x + y = 60

After 6 years x+6 and y +6.

8(x + 6) = y + 6

8x + 48 = y + 6

8x + 42 = y

8x - y = -42

sum of two equations

x + y + 8x - y = 60 + (-42)

x + 8x = 60 - 42

9x = 18

divide by 9 on both sides

9x/9 = 18 / 9

x = 2

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The probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is 59.87%

What is the normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The formula for z-score is z = (x -μ)/σ

Where,

Z is standard score.

X is observed value.

μ is mean of the sample.

σ is standard deviation of the sample

Given that 55% of the customers buy coffee, hence p = 55% = 0.55

Sample of 35 customers, hence n = 35.

For the normal distribution μ = np, σ = √[np(1-p)]

The mean and the standard deviation of the approximation are:

μ = 35 ˣ 0.55 = 19.25

σ = √[35 ˣ 0.55(1-0.55)] =2.943

Using continuity correction, the probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is P(X < 20 - 0.5) = P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

z = (20 -19.25)/2.943

z = 0.25 has a p-value of 0.5987.

0.5987 =59.87%

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When drawing one card from a deck of 52 cards, the probability of obtaining either a spade or an ace are 4/13.

Given,

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

We have to find the probability of getting either a spade or an ace when drawing a single card from the deck;

Here,

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Now,

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

Then,

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

That is,

The probability of getting either a spade or an ace when drawing a single card from a deck of 52 cards is 4/13

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The missing measures of the angles are as follows:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

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According to the information, the numbers are classified as follows: Greater than 8.2 x 104 = None; between 8.2 x 10⁴ and 8.2 x 10⁻⁶ : 2.1 x 10⁻⁴, 9.2 x 10⁻⁴, 3.4 x 10⁻⁵, 2.1 x 10⁻³, 8.3 x 10⁻⁵, 7.2 x 10⁻⁵; and less than 8.2 x 10⁻⁵: 2.8 x 10⁻⁷.

To find the classification of numbers we must know how scientific notation works and know how to classify these numbers. According to its scientific notation, if we want to classify numbers greater than 8.2 x 10⁴ we must take the following into account:

All numbers with a power greater than 10⁴ would be greater than 8.2. Therefore, none of the options would be greater than this number.

In the second case, to find the numbers that are between 8.2 x 10⁴ and 8.2 x 10⁻⁶ we must look at the same element, that is, the numbers that have a power less than 10⁴ and greater than 10⁶ would be in the range of this exercise. So the numbers in this range would be:

In the third case, to identify the numbers that are less than 8.2 x 10⁻⁵ we must take into account the same element. If power is less than 10⁻⁵, they would classify in this interval. So the values that classify are:

Note: This question is incomplete because there is some information missing. Here is the complete information:

Greater than 8.2 x 104

Between 8.2 x 104

and 8.2 x 10-6

Less than 8.2 x 10-5

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Math: s=11.2996s=11.2996, Reading: s=14.4128s=14.4128 for the performance in the elementary school of Florida.

The study of data collection, analysis, presentation, and interpretation is known as statistics. Much of the early push for the subject of statistics came from government needs on census in addition to data on a range of economic operations. The current requirement to convert vast volumes of data accessible in many applied disciplines into valuable information has driven both theoretical and practical breakthroughs in statistics.

The facts and statistics that are gathered, standardized, and condensed for presentation and interpretation are known as data. The two types of data are quantitative and qualitative, respectively. Quantitative data quantify how much or how many of something exists, whereas qualitative data offer labels or names for groups of similar objects.

How to solve?

We need to determine whether the math core or the reading score better predicts the percentage of students below the poverty level.

The standard error s=11.2996s=11.2996 for the math scores is less than the standard error s=14.4128s=14.4128 for the reading scores, thus the math scores will result in better prediction.

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Answer:80% - 70%

Step-by-step explanation:

If the margin for the error is 5% im guessing that means 5% backwards or forwards so i believe that my answer is correct

ps if im right brainliest please

The percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.

Given, a margin of error of 5%, we can determine the range that reflects the population's true response.

To find the range, we consider the maximum and minimum values within the margin of error.

Maximum Value: 75% + 5% = 80%

Minimum Value: 75% - 5% = 70%

Therefore, the percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.

This means that we can be 95% confident that the actual percentage of people who would buy the product again lies within this range.

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The nth term of the sequence is aₙ = 26 - 4n.

A sequence is defined as an arrangement of numbers in a particular order.

The sequence is an arithmetic sequence. Therefore, the nth term of the sequence can be found as follows:

aₙ = a + (n - 1)d

where

Therefore,

a = 22

d = 18 - 22 = -4

n = number of terms

Hence,

aₙ = 22 + (n - 1)-4

aₙ = 22  - 4n + 4

aₙ = 22 + 4 - 4n

aₙ = 26 - 4n

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As per the given standard deviation, the confidence interval is 495.84, upper bound is $65,495.8 and the lower bound is $64,504.2

Confidence interval

Confidence interval means a range of values, bounded above and below the statistic's mean, that likely would contain an unknown population parameter.

Given,

A student at another business school surveys 100 of 1000 graduates from last year and asks about their salaries. the researcher finds that the average income is $65, 000, with a standard deviation of $8000.

Here we need to find the confidence interval lower and upper bounds if you wanted to be 95% sure that the real mean of all 1000 students is within a range of the sample mean.

While we looking into the given question, we have identified the following values,

standard deviation = $8,000

Average income = $65,000

Sample size = 1000

Confidence level = 95%

Then the value of confidence interval is calculated by the formula,

Then we get the value of

Lower bound = 64504.2

Upper bound = 65495.8

Confidence interval (±) = 495.84

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The board has a total of 78960006 options from which to select at least one master's and one PhD candidate.

Given,

Total number of students = 8000

Number of Phd students = 5000

Number of masters students = 3000

Number of members in Student Government Executive Board = 4

We have to find the number of ways to choose the exec board so that there is at least one masters student and one Phd student;

Here,

There are 3,000 different ways to have one Master student on the board.

After choosing a masters student, there are 5,000 different methods to have a PhD student on the board.

The number of possible ways to choose the final two members = 7998!/(7998 - 2)!

That is,

5,000 3,000 + 7998!/(7998 - 2) = 78960006 

Therefore, 

78960006 is the total number of ways the board can choose at least one masters and one PhD.

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Answer:

1/6

Step-by-step explanation:

convert them both to the same denominator (bottom number)

2/3 is 4/6

5/6-4/6 is 1/6

Answer: its 500

Step-by-step explanation:

Answer: mark one point after the half mark between 1 and 2, and then the half point between 2 and 3.

Step-by-step explanation: hope this helps!

Step-by-step explanation:

[tex]2x + 8 = 26 \\ [/tex]

[tex]2x + 8 - 8 = 26 - 8[/tex]

[tex]2x = 18[/tex]

[tex]x = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

Answer:

Step-by-step explanation:

[tex]\tt 2x + 8 = 26[/tex]

Subtract 8 from both sides:-

[tex]\tt 2x+8 \bf{-8}= \tt 26 \bf{-8}[/tex]

[tex]\tt 2x=18[/tex]

Divide both sides by 2:-

[tex]\tt \cfrac{2x}{\bf2}=\cfrac{18}{\bf2}[/tex]

[tex]\tt x=9[/tex]

___________________

Hope this helps!

Have a great day!

There is no sufficient evidence to indicate the true standard deviation is less than 4000.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

given that n = 16

x = 60139.7

s = 3718.06

∝ = 0.05

To test the hypothesis

H0 : = 4000

H1 :  < 4000 (claim)

test statistics

x² = ((n-1)s²) / H0²

  = (15 * 13823970.16) / (16000000)

  = 12.96

P- value = P [x² < 12.96]           DF = n-1 = 15

            = 0.3946

0.1 < P-value <0.5

Hence, there is no sufficient evidence to indicate the true standard deviation is less than 4000.

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The percent decrease will be;

⇒ 12%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

One year, the population of a city was 312,000.

Several years later it was 274,560.

Now,

Since, One year, the population of a city was 312,000.

Several years later it was 274,560.

Hence, The percent decrease is find as;

⇒ Percent = (312,000 - 274,560) x 100 / 312,000

                = 12 %

Thus, The percent decrease will be;

⇒ 12%

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Answer:

yass

queen

Step-by-step explanation:

Answer:12 feet

Step-by-step explanation:

Answer:

The top speed of a cheetah is around 69 to 75 mph. However, the cat can only sprint a short distance of around 0.28 miles. A cheetah is about 2.7 times faster than the fastest human runner. A cheetah accelerates very quickly, allowing it to overtake prey at close range. The fastest cheetah on record is Sarah. Sarah lives at the Cinncinati Zoo in Ohio.

Step-by-step explanation:

Answer:

35.7632

Step-by-step explanation:

multiply the value in miles per hour by the conversion factor '0.44704'.=35.7632 meters per second

As per the given standard deviation, the mean scores difference between online and paper tests is 2.9 and the p value of the test is 0.2999

Standard deviation:

In statistics, standard deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.

Given,

A college instructor gave identical tests to two randomly sampled groups of 45 students. One group took the test on paper and the other took it online. Those who took the test on paper had an average score of 68.4 with a standard deviation of 12.1. Those who took the test online had an average score of 71.3 with a standard deviation of 14.2.

Here we need to find the mean scores difference between online and paper tests and the p value of the test.

While we looking into the given question we have identified the following values,

Test on paper:

Average score = 68.4

Standard deviation = 12.1

Online test

Average score = 71.3

Standard deviation = 14.2

Total number of students = 45

So, the difference between the mean scores differ between online and paper tests is calculated as,

=> 71.3 - 68.4 = 2.9

And the p -  value is 0.2999.

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Answer:

Step-by-step explanation:

EXPLANATIONDETAIL STEPSforward

Based on the given conditions, formulate::

Calculate : :

Thanks (77)

Answer: 2 or 100 tenths

Step-by-step explanation:

0.75 + 0.18

You need to do it in the vertical way yo make it easier here i will show you.

 0.75

+ 0.18

______

   0.93

YOU MUST ALIGN THE DECIMALS TO GET IT RIGHT

6000FT, is the shortest length of fence that the rancher can use.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

Let the rectangular field's length be x.

rectangle field width = y

square feet of a rectangular field's area

Because length is always positive, it is always positive.

Once more, discriminate with respect to x

replace x=1500

Therefore, at x=1 500, fencing is minimal.

Change x to 1 500.

the rectangular field is 1500 feet long.

rectangle field's width is 1000 feet.

Replace the values

shortest used fence length =6000ft

Hence, 6000FT, is the shortest length of fence that the rancher can use.

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