pleaseeeee help (15 points) ​

Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

\(p_1=X_1/n_1=82/135=0.607\)

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

\(p_2=X_2/n_2=41/92=0.446\)

The difference between proportions is (p1-p2)=0.162.

\(p_d=p_1-p_2=0.607-0.446=0.162\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014\)

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\(\text{P-value}=2\cdot P(z>2.4014)=0.0171\)

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

\(MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335\)

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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Answer:

Customers who have not started picking berries

Step-by-step explanation:

this is becuase the costomers have not started so there is not an assumption yet. If they are picking blueberries, raspberries, or strawberries you already know what they prefer to pick.

38 cupcakes can Eric make.  

percentage, a relative value indicating hundredth parts of any quantity.

According to the recipe, one cupcake requires 25% sugar, 25% egg, and 50% flour.

To convert the percentages to actual quantities, we can multiply the amount of each ingredient by 20 (the weight of one cupcake) and divide by 100.

Sugar: 25% × 20g = 5g

Egg: 25% × 20g = 5g

Flour: 50% × 20g = 10g

Eric has 200 grams of egg,

200g / 5g = 40 cupcakes.

Eric has 380 grams of flour

380g / 10g = 38 cupcakes.

Hence, 38 cupcakes can Eric make.

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The peak of the histogram appears at age 19, and its shape is approximately symmetric. This indicates that the students' ages are evenly distributed, with a mean age of around 19.

Probability is a gauge of how likely an occurrence is to take place. It is expressed as a number between 0 and 1, with 0 designating an impossibility and 1 designating a certainty for the occurrence.

For instance, if you flip an impartial coin, you could get either heads or tails. Because there is an equal possibility that the coin will land on its head or tails, the probability of getting heads on a single toss is \(0.5\) , or 50%.

Given

c) To determine the likelihood that a pupil chosen at random is under 20 years old, we must add the probabilities of the top two bars in the histogram. Following are the results: P(age 20) = P(age = 17) + P(age = 18)  \(= 0.05 + 0.15 = 0.2\)

The likelihood that a pupil chosen at random is under  \(20\) years old is therefore  \(0.2, or 20%\) .

d) We must add the probabilities of the bars between the ages of 19 and 21, inclusive, in order to determine the likelihood that an arbitrarily chosen student is older than 18 but not older than 21. P(18 age 21) equals P(age = 19) + P(age = 20) + P(age = 21)  \(= 0.35 + 0.25 + 0.1 = 0.7\) .

Therefore,  \(0.7, or 70%\) , of an arbitrarily chosen student having an age that is greater than 18 but not greater than \(21\)  .

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Answer:

24 tickets would cost about $55.92

Step-by-step explanation:

To solve this equation I decided to figure out how much one ticket cost. I divided 7 by 3 and got 2.333333 I rounded that to one ticket costing $2.33. I then multiplied 2.33 by 24. 24 x 2.33= 55.92.

The reason I multiplied 24 by 2.33 is because the cost of one ticket is $2.33 so if I wanted to buy 24 tickets, I would have to multiply in order to find out the total cost.

I hope that this answer helped :D

Answer:

24 tickets would cost $56

Step-by-step explanation:

You would Convert it to a decimal by dividing the numerator by  the denominator. 7/3*24=$56

3 tickets cost=$7

1 ticket cost= 7/3=$7/3

Answer:

9.39

Step-by-step explanation:sorry, i just need to type an explanation

Answer:

C

Step-by-step explanation:

cot²θ = 1/tan²θ

plug this in to get

1/(1/tan²θ + 1)

1/tan²θ + 1 = 1/tan²θ + tan²θ/tan²θ = (1+tan²θ)/tan²θ

we then have

1/((1+tan²θ)/tan²θ)

1/(x/y) = y/x, so this is equal to

tan²θ/(1+tan²θ)

tan²θ = sin²θ/cos²θ, so plug this in to get

(sin²θ/cos²θ)/(1+sin²θ/cos²θ)

1+sin²θ/cos²θ = cos²θ/cos²θ + sin²θ/cos²θ

sin²θ + cos²θ = 1, so we have

(cos²θ+sin²θ)/cos²θ = 1/cos²θ. plug this in to get

(sin²θ/cos²θ)/(1/cos²θ)

(a/b)/(c/d) = (d/c) * (a/b), so we have

(sin²θ/cos²θ)/(1/cos²θ)  = cos²θ/1 * sin²θ/cos²θ = sin²θ

Answer:

y= -3/5x - 7 (assuming slope-intercept form)

Step-by-step explanation:

First, we see the slope. The basic template for a slope-intercept question is

y=mx + b

So, we put in -3/5 as "m" in this case, as it is the slope to get y= -3/5x +b

To find b, we can just try out the point that the equation gave us.

-3/5 * -5 = 3

Then, to get to -4 from 3, we need to subtract 7.

Then, we get our whole slope-intercept equation. y=-3/5x - 7

Answer:

The equation is y = 3/5x - 1

Step-by-step explanation:

1. Construct an equation. We can use the slope-point formula to construct an equation from these (y - y₁ = slope * (x - x₁)). If you plug in these values, you'll get the equation y + 4 = -3/5(x +5).

2. Simplify. If you simplify, you'll get that y = 3/5x - 1 by isolating y.

Answer: The equation of the line is y = 3/5x - 1.

Answer:

the answer is 9.321 miles

Answer:

I think the answer is 0 then -1.

Answer:

13 years old.

Step-by-step explanation:

Let x be the age of Jada

Given from the question:

Bobby's Age: 7x + 3 years old

Jada's Age: x years old

7x + 3 = 94

7x = 94 - 3

7x = 91

x = \(\frac{91}{7}\)

x = 13

Therefore Jada is 13 years old.

Answer:

5859375

Step-by-step explanation:

First, find a common pattern:

15/3 = 5

75/15 = 5

Hence, the common pattern between each term is a multiplier of 5.

Now, solve for the 10th term:

75 is the 3rd term in the sequence:

10 - 3 = 7

5*5*5*5*5*5*5 =  ==> multiply five 7 times

5^7 = 78125

Multiply 75 and 78125 to get the 10th term:

75 * 78125 = 5859375

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

the last one- 4/24

Step-by-step explanation:

ive answered this question before and got it correct

The pentagon rotates 216 degrees clockwise about its center so that the vertex at B is moved to D

The angle at the vertex of a pentagon is:

x = 108 degrees

In a clockwise direction, there are 2 points from point B to point D.

This means that the angle of rotation is:

Rotation = Number of points * Vertex angle

So, we have:

Rotation = 2 * 108

Evaluate

Rotation = 216

Hence, the pentagon rotates 216 degrees

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Answer:

4 2/3

Step-by-step explanation:

Answer:

hey, hope the picture helps :)

Answer:

a,b,d

Step-by-step explanation:

Answer:

Option A: 9 + 5t

Option B: 5 · t + 9

Option D: (5 × t) + 9

Step-by-step explanation:

Hope This Helped

The number 1234567 cannot be written as a sum of two squares.

Let q = x^2+y^2,

Let a and b be two even numbers, such that

a= 2x and b = 2y

then

n = (2x)^2 + (2y)^2 = 4 (x^2+y^2)

implies n = 4q

Let a and b be two odd numbers, such that

a = 2x+1 and b = 2y+1

then

n = (2x+1)^2 + (2y+1)^2 = 4x^2+4y^2+1 = 4q+2

Let a be an even number and b be an odd number, such that

a= 2x and b = 2y+1

then

n = (2x)^2 + (2y+1)^2 = 4q+1

But, the given number 1234567 = (4×308641)+3 which is of the form 4q+3, hence it cannot be written as the sum of two squares.

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Answer:

14.77 hours.

Step-by-step explanation:

154÷5= 30.8

455÷30.8=14.76

Answer:

Step-by-step explanation:

Given the data representation of the strength of nine randomly selected casts​ (in psi) as 3960, 4090, 3200, 3100, 2940, 3830, 4090, 4040, 3780.

MEAN

Mean is the average of the samples

\(\overline x = \frac{\sum Xi}{N}\)

\(\sum Xi\) is thw sum of the given data

N is the sample size

\(\overline x\) is the mean

\(\overline x = \frac{3960+4090+3200+3100+2940+3830+4090+4040+3780}{9}\\\\\overline x = \frac{33,030}{9}\\ \\\overline x = 3,670psi\)

Hence the mean of the data is 3,670psi

MEDIAN

Median is the value at the middle of the data after rearrangement.

On rearranging in ascending order

2940, 3100, 3200, 3,780) 3,830 (3,960, 4040, 4090, 4090

It can be seen that the middle value is 3860. Hence the median of the data is 3860psi.

MODE

Mode is the most occurring data in the dataset. It is the data with the highest frequency. From the data, it can be seen that the only data occurring most (twice) is 4090, hence the modal value is 4090psi

Answer:

the right answer would be 195

Answer:

195 sir

Step-by-step explanation:

did  the math dont copy mine

Answer:

\(r=-3/5=-0.6\)

Step-by-step explanation:

We have the equation:

\(6^{-3r}=6^{2r+3}\)

Since their bases are the same, the exponents must be equivalent. So:

\(-3r=2r+3\)

Solve for r, subtract 2r from both sides:

\(-5r=3\)

Divide both sides by -5:

\(r=-3/5=-0.6\)

So, the value of r is -3/5.

And we're done!

Answer:

C. f(3)=27

Step-by-step explanation:

f(3)=-4(3-6)+15

f(3)=-4(-3)+15

f(3)=12+15

f(3)=27

Answer:

\((3,0)\)

Step-by-step explanation: