Two 95 percent confidence interval estimates are obtained: I (78.5, 84.5) and II (80.3, 88.2). If the sample sizes are the same, which has the larger standard deviation

And 30 is divisible by 3, so the number 6357612 is also divisible by 3.

To solve this problem, we need to use the divisibility rule for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3.

Let's find the sum of digits in the number 63576*2:

6 + 3 + 5 + 7 + 6 + * + 2 = 29 + *

For the number 63576*2 to be divisible by 3, the sum of its digits needs to be divisible by 3. We know that the sum of the first six digits is 29, so we need to find the smallest digit that we can add to it to make it divisible by 3.

If we add 1 to 29, we get 30, which is divisible by 3. Therefore, the least number that we should assign to * so that the number 63576*2 is divisible by 3 is 1.

If we replace * with 1, we get:

6 + 3 + 5 + 7 + 6 + 1 + 2 = 30

And 30 is divisible by 3, so the number 6357612 is also divisible by 3.

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Answer:

14

Step-by-step explanation:

f(3) = 3(3) - 5 + 10

f(3) = 9 - 5 + 10

f(3) = 4 + 10

f(3) = 14

Answer:

14

Step-by-step explanation:

Start by finding f(3), which would include plugging in a 3 everywhere you see an x

f(3) = 3(3)-5

f(3) = 9-5

f(3) = 4

Now we can use f(3)+10 because we know what f(3) is, it's 4. So replacing it

f(3) + 10 is now 4+10, which equals 14

Answer:

$2 per minute

Step-by-step explanation:

trust me. :)

Hope this helps!

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

THE SUM OF TWO NUMBERS =45

ONE OF THE NUMBER = 31

OTHER NUMBER = 45-31 = 14

OTHER NUMBER IS 14

Step-by-step explanation:

HOPE IT HELPS

THANK YOU

The x-intercept is a point of the form (x,0)

What is the x-intercept?

The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.

For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis, or we can say that it is the value of the x coordinate at a point where the value of the y coordinate equals zero.

Due to its location on the horizontal axis, this is also known as the horizontal intercept.

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Answer:

Step-by-step explanation:

<DCE≅<BCA

BC≅CE

AC≅CD

BA≅DE

Step-by-step explanation:

\( \frac{1}{100} = \frac{1}{ {10}^{2} } = {10}^{ - 2} \\ \\ reason \\ \: \because \: \frac{1}{ {a}^{2} } = {a}^{ - 2} \\ \\ \implies \: \frac{1}{ {10}^{2} } = {10}^{ - 2} \)

Answer:

21

Step-by-step explanation:

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.

Equation of plane passing through (x1,y1,z1) is given by

A(x-x1)+B(y-y1)+C(z-z1)=0

where, A, B, and C are direction ratios

In the question, it is given that the plane passes through (1,2,1)

So, the equation of the plane will be in the form,

A(x-1)+B(y-2)+C(z-1)=0

It is also given that the plane is perpendicular to give 2 planes.

So, their normal to the plane would be perpendicular to the normal of both planes.

So, the required normal is a cross-product of the normals of planes

x-y-z-10=0 and x-2y+z-2=0

i.e,

-3i-2j-k=0

so, the direction ratios,

A=-3, B=-2, C=-1

putting the direction ratios in the previous equation of the plane,

-3(x-1)-2(y-2)-1(z-1)=0

-3x+3-2y+4-z+1=0

-3x-2y-z+8=0

is the required equation of the plane

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Answer:

y = 12x + 10

Step-by-step explanation:

The equation of the line in slope-intercept form is y = 12x + 10.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is 12 and the y-intercept is 10, we have:

y = 12x + 10

Therefore, the equation of the line in slope-intercept form is y = 12x + 10.

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Answer:

240

Step-by-step explanation:

Using long division i got this :

   0 2 4 0

3 2 7 6 8 0

 − 0      

   7 6    

 − 6 4    

   1 2 8  

 − 1 2 8  

       0 0

     −   0

         0

Hope this helps!

So, you need to deposit $628.86 monthly to accumulate $100,000 in 15 years with an APR of 7%.

To create a college fund for your child, you must determine the amount you need to deposit every month. The fund that offers an APR of 7% will help you accumulate the amount in the future. Here are the steps to find out how much you need to deposit monthly.
Step 1: Determine the total amount required for college funds.
The first step is to determine the total amount you need to pay for college funds. Suppose you want to create a college fund for your child that requires $100,000 in 15 years. Use a present value calculator or online present value calculator to determine the future value of the college fund.
Step 2: Determine the interest rate
The second step is to determine the interest rate you will receive on your savings. Suppose the fund offers an APR of 7%.
Step 3: Determine the number of years
The third step is to determine the number of years you have until you need the money. Suppose you have 15 years.
Step 4: Use the annuity formula
The fourth step is to use the annuity formula to determine how much you need to deposit every month. The formula is:
PMT = FV × i / ((1 + i)n - 1)
Where PMT is the monthly payment, FV is the future value, i is the interest rate, and n is the number of payments.
Using the given values:
PMT = 100,000 × 0.07 / ((1 + 0.07)^15 - 1)
PMT = 100,000 × 0.07 / 11.283
PMT = $628.86

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Answer:

4 ⅓

Step-by-step explanation:

10 - 5 ⅔

10 - 5 × 3 + 2/3

10 - 17/3

3 × 10 - 17/3

30 - 17/3

13/3 = 4 ⅓

-TheUnknownScientist

Probability that Bernardo's number is larger than Rancho's is 37/56

Bernardo randomly picks $3$ distinct numbers from the set $\{1,2,3,4,5,6,7,8,9\}$

Bernardo has a chance of picking 9 and he always have a larger integer.

Probability of picking 9 = 3/9 =1/3

Probability of not picking 9= 1- (1/3) = 2/3

When Bernardo picks any number from 1 - 8, there is a chance of 2 possibilities.

Probability of picking 2 same numbers=\(8_C_3\)

= 8×7×6/(3×2)

=56

Probability of same numbers=1/56

Number picked by Bernardo is larger= 55/56

Half of these will be his.

P(larger) = 1/2 ×(55/56) = 55/112

Total Probability = 1/3 +(2/3 × 55/112)

Total Probability = 1/3 + 55/168 = 37/56

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If the null hypothesis is true and there is no treatment effect, the expected value on average for the F-ratio would be 1.00. The correct answer is option (b) 1.00

In hypothesis testing using the F-test, the F-ratio is calculated by dividing the variance between groups (treatment effect) by the variance within groups (random variation). When the null hypothesis is true and there is no treatment effect, the numerator (variance between groups) and the denominator (variance within groups) would be similar, resulting in an F-ratio close to 1.

Therefore, the correct answer is b. 1.00, as the expected value for the F-ratio would be around 1 when the null hypothesis is true and there is no treatment effect.

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Answer:

Hey there!

The two lines in this graph are: y=-1/5x+2, and y=3x-2

Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.

Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.

Thus, for area z, we have y<-1/5x+2, and y≥3x-2

Hope this helps :)

Answer:

======================

The solution is all points to the right from 3, same point included.

Answer:

It is a linear.

Step-by-step explanation:

Because after factor the function you will get f(x)= 5x, and the linear function is y=ax.

Answer:

The answer is 9

Step-by-step explanation:

for the equation:

move the -6x

x^2 + c - 6x

To find c :

c = (b/2)^2

this means you have to divide the coefficient of x by 2 then square the result

If you dont understand I put a picture of all the steps

The correct identification of the dependent variable and the independent variable for the experiment is valid experiment.

Independent variable: The variable that is being changed or manipulated in an experiment is called the independent variable. The experimenter modifies the independent variable to observe its effect on the dependent variable.

Dependent variable: The dependent variable is the variable that is being measured and observed in an experiment. It is dependent on the independent variable because it changes as a result of the manipulation of the independent variable.

Therefore, To carry out a valid experiment, it is crucial to accurately identify the dependent variable and independent variable.

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Answer:

$70.35 for 39 HCF

Step-by-step explanation:

Answer: False

Step-by-step explanation:

There is no such deduction when a participation's questions are not answered correctly the first time. Whatever answer is given is part of the learning curve and ensures that the activity can be improved upon.

Had there been a small point deduction then there would be no opportunity to learn because there would be too much fear associated with the wrong answer.

The range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

We know that the length of a manufactured ceramic bead is 4.3 centimeters, with an acceptable error of 0.2 inches.

This means that the length of the ceramic bead can be, at most, 0.2 inches away (lower or upper) from 4.3 in.

Then the smaller length allowed is:

4.3 in - 0.2 in = 4.1 in

The largest length allowed is:

4.3 in + 0.2in = 4.5in

Then the range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

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Answer:

5^-18

Step-by-step explanation:

here is the answer please mark me as the brainliest

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation: It would be A because the factor is the denominator and it would be more units in size, so there are 60,000 inches in 5,000 feet.

Answer:

#2. y>0 #3. -1<or=y<3 #4. 0>y>2

Step-by-step explanation: