If you multiply a number by 3 and divide by 4, the result is 24. What is the number?.

A 90% confidence interval will use the same z-score as 95% of the data. 0.95 is exactly between the z-scores of 1.64 and 1.65, so estimate the z-score as 1.645. The z-score associated with a 90% confidence interval is 1.645.

To determine the value of a, we use the formula: a = z*(standard deviation/sqrt(n)). The value of a determines the size of the margin of error in our confidence interval.

The value of a is an important component in determining the 90% confidence interval. It is used to calculate the range of values that are likely to contain the true population mean with a certain level of confidence. In other words, it tells us how confident we are that the true population mean falls within a certain range of values. To determine the value of a, we use the formula: a = z*(standard deviation/sqrt(n)), where "z" is a critical value from a standard normal distribution table, "standard deviation" is the standard deviation of the sample, and "n" is the sample size. The critical value "z" is chosen based on the desired level of confidence. In this case, since we are aiming for a 90% confidence level, we would use a critical value of approximately 1.645.

A smaller value of a means a narrower interval, which in turn indicates a higher level of confidence in the interval containing the true population mean. Conversely, a larger value of a leads to a wider interval and a lower level of confidence.

For more such questions on Confidence Interval.

https://brainly.com/question/29680703#

#SPJ11

Answer:

3.1

Step-by-step explanation:

if the last number is less thank five round down

Answer:1

Step-by-step explanation:

Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000

Answer:

1 is round off of 0.9271to the nearest whole number.

Answer:

y=85

Step-by-step explanation

= 2x+25=3x-10

-2x +10 -2x +10

= 35=x

y =180-(2(35)+25)

  =180-(70+25)

  =180-95

  = 85

Answer:

\(-\frac{3}{2}\)

Step-by-step explanation:

To find the slope pick two points on a line and calculate the change between them.

Points:

(2, -1)

(0, 2)

Change in the x values is 2 (2 - 0)

Change in the y values is -3 (-1 - 2)

Slope is

\(\frac{\mathrm{Change\:in\:x}}{\mathrm{Change\:in\:y}}\)

So then we get -3/2!

Answer:

1. Absolute Value: the distance of a number from zero

2. Gallon: measurement of liquid equal to 4 quarts

3. Mile: 1,000 paces; 1760 yards. 5280 feet

4. Pound: A unit of weight equal to 16 ounces

5. Regular Polygon: all of the angles are equal and all of the sides are equal

6. Rhombus: A parallelogram with four equal sides

7. Square: A quadrilateral with four equal sides & four 90d angles

8. Stem and Leaf Diagram: a technique for organizing data for comparison

9. Trapezoid: A quadrilateral with that has exactly two sides parallel

10. Triangle: a three sided polygon

Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191

Answer:

$ 2 per 100g,

Step-by-step explanation:

100g = 1/6 of 600g so:

Cost per 100g = 12 * 1/6

= $ 2.

Answer:

$2

Step-by-step explanation:

12 divided by 6

Answer:

Step-by-step explanation:

Answer:

x = -b/a

Step-by-step explanation:

ax+b = 0

Subtract b from each side

ax+b-b=0-b

ax = -b

Divide each side by a

ax/a = -b/a

x = -b/a

The two non-negative numbers with a sum of 34 have the largest possible product are 17 and 17.

Non-negative numbers are numbers which are greater than zero and are found to the right of zero on a number line.

To find the non-negative numbers:

Let be two non-negative numbers be x and y

x + y=34

x * y = M where M is some maximum

Let's rearrange the first equation to solve for y in terms of x:

y = 34 - x

substitute for y in the second equation

x * (34-x) = M

34x - x² = M

x will be the peak (x, M) of this parabola, and y = 34-x

For parabolas in ax² + bx + c form, the vertex point (x,M) can be found using x=-b/(2a)

Here a = -1; b = 34,

x = (-34/-2)

x = 17

y=34-17

y =17

Therefore the two numbers are 17 and 17.

Learn more about non-negative numbers at: https://brainly.com/question/17174587

#SPJ4

Answer:

300

Step-by-step explanation:

3 hundred

0 tens

0 ones

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:x = -3 \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: CD + DE = CE\)

\(\qquad \tt \rightarrow \: x + 10 + x + 4 = 8\)

\(\qquad \tt \rightarrow \: 2x + 14 = 8\)

\(\qquad \tt \rightarrow \: 2x =8 - 14\)

\(\qquad \tt \rightarrow \: 2x = - 6\)

\(\qquad \tt \rightarrow \: x = - 3\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

\(\huge \boxed{\sf x=-3}\\\\\\\displaystyle \sf CD+DE=8 \\\\x+10+x+4=8\\\\2x+14=8\\\\Subtracting\ 14\ from\ each\ side\\\\ 2x+14-14=8-14\\\\2x=-6\\\\ Dividing\ each\ side\ by\ 2 \\\\ \frac{2x}{2} =\frac{-6}{2} \\\\x=-3\)

Answer:  The correct answer is (3x−y)(2a−b)

Step-by-step explanation:

Factor 3x(2a−b)−y(2a−b)

6ax−2ay−3bx+by

=(3x−y)(2a−b)

Answer:

(x+7)(x-2)

Step-by-step explanation:

=x^2+5x-14

=x^2+(7-2)x-14

=x^2+7x-2x-14

=x(x+7)-2(x+7)

=(x+7)(x-2)

Answer:  (x+7)(x-2)

We're looking for two numbers that multiply to -14 and also add to 5. Through trial and error, you should find those numbers are 7 and -2.

You can use the FOIL rule to confirm that (x+7)(x-2) expands out to x^2+5x-14

(x+7)(x-2) = x^2-2x+7x-14 = x^2+5x-14

Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

wait what's the question?

Answer:

You would have 200 points

Step-by-step explanation:

-450+150+200=200

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

In this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

To find chi-square goodness-of-fit test question.

To determine the degrees of freedom in this particular chi-square goodness-of-fit test with six categories and 325 observations, you need to subtract 1 from the number of categories. So, the degrees of freedom are:

Degrees of Freedom (df) = Number of Categories - 1
Degrees of Freedom (df) = 6 - 1
Degrees of Freedom (df) = 5

Next, to find the critical value of chi-square at a 0.10 significance level and 5 degrees of freedom, you can use a chi-square distribution table or an online calculator. After consulting the table or calculator, you will find that the critical value of chi-square is:

Critical Value of Chi-Square (rounded to 3 decimal places) = 9.236

So, in this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

To learn more about chi-square

https://brainly.com/question/4543358

#SPJ11

The approximate area of the northern hemisphere is 80,976,168 square kilometers.

The formula for the surface area of a sphere is given by:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

Given that the diameter of the Earth is 12,756 km, we can find the radius by dividing the diameter by 2:

r = 12,756 km / 2 = 6,378 km

Now we can substitute the radius into the formula:

A = 4π(6,378 km)²

Calculating the area:

A = 4π(40,548,084 km²)

Simplifying further:

A ≈ 161,952,336 km²

However, we need to find the area of the northern hemisphere, which is only half of the full hemisphere. Therefore, we divide the total surface area by 2:

Area of the northern hemisphere = (161,952,336 km²) / 2

Area of the northern hemisphere ≈ 80,976,168 km²

So, the approximate area of the northern hemisphere is 80,976,168 square kilometers.

For more such questions on area

https://brainly.com/question/25292087

#SPJ8

Answer:

Division: 10 ÷ 3

Mixed Number 3 and 1/3

Answer:

10/3 in a mixed fraction is 3 1/3.

Let us convert the improper fraction to a mixed number.

Step-by-step explanation:

Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.

And we keep the quotient part as separate

The quotient of 10 divided by 3 is 3

While the remainder of 10 divided by 3 is 1

The mixed number is written as Quotient (Remainder/Divisor), i.e., 3 1/3

Thus, 10/3 in a mixed fraction is 3 1/3.

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

Learn more about probability on:

https://brainly.com/question/23417919

The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)

Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.

Therefore, let's factor the equation 2x² + 25x + 50.

2x² + 25x + 50

The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.

Therefore,

2x² + 20x + 5x + 50

2x(x + 10)+ 5(x + 10)

Therefore,

(2x + 5)(x + 10)

learn more on factoring here: https://brainly.com/question/1863222

#SPJ1

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

Each pizza costs approximately $10.99, and each 2-liter of soda costs approximately $0.96.

Let x be the cost of one pizza, and y be the cost of one 2-liter of soda.

According to the information given, we can write the following two equations:

1. For the pizza and soda purchased for the theater party:

12x + 6y = 137.64

2. For the pizza and soda purchased for Katya's family:

1x + 1y = 11.95

Now, we have a system of two equations with two variables. We can solve it to find the values of x and y.

First, let's solve the second equation for y:

y = 11.95 - x

Next, substitute this value of y into the first equation:

12x + 6(11.95 - x) = 137.64

Now, simplify and solve for x:

12x + 71.7 - 6x = 137.64

Combine like terms:

6x + 71.7 = 137.64

Subtract 71.7 from both sides:

6x = 65.94

Finally, divide by 6:

x = 65.94 / 6

x ≈ 10.99

Now that we have the value of x, which is the cost of one pizza, we can find the cost of one 2-liter of soda using the second equation:

y = 11.95 - x

y ≈ 11.95 - 10.99

y ≈ 0.96

So, each pizza costs approximately $10.99, and each 2-liter of soda costs approximately $0.96.

To know more about pizza:

https://brainly.com/question/29011903

#SPJ2

We cannot provide numerical estimations without specific values. To estimate ΔV/r using linear approximation, we can use the differential form of the volume formula:

dV = (∂V/∂r) dr + (∂V/∂h) dh

Here, (∂V/∂r) represents the partial derivative of V with respect to r, and (∂V/∂h) represents the partial derivative of V with respect to h.

Let's calculate these partial derivatives:

∂V/∂r = 2πrh
∂V/∂h = πr²

Now, we can estimate ΔV/r by substituting Δr = a and Δh = b:

ΔV/r = (∂V/∂r) Δr/V = (2πrh) a / (πr²h)
      = 2ah / r

Therefore, ΔV/r ≈ 2ah/r.

Next, let's estimate the percentage increase in V if both r and h are increased by 78. We'll denote the percentage increase as ΔV/V.

To estimate ΔV/V, we can use the formula:

ΔV/V = (∂V/∂r) (Δr/r) + (∂V/∂h) (Δh/h)

Substituting Δr = 78 and Δh = 78:

ΔV/V = (∂V/∂r) (78/r) + (∂V/∂h) (78/h)
      = (2πrh) (78/r) + (πr²) (78/h)
      = 156πh/r + 78πr/h

To calculate the percentage increase, we divide ΔV/V by the original volume V and multiply by 100:

Percentage Increase = (ΔV/V) * 100
                         = [(156πh/r + 78πr/h) / (πr²h)] * 100
                         = [(156h/r + 78r/h) / (r²h)] * 100

Simplifying further, we get:

Percentage Increase ≈ [(156h/r + 78r/h) / (r²h)] * 100

Note that in the given problem, the values of a, b, r, and h are not specified. Therefore, we cannot provide numerical estimations without specific values.

However, you can use the above symbolic expressions and substitute the corresponding values to obtain the numerical results.

learn more about derivatives here:brainly.com/question/25324584
#SPJ11

Answer:

m = 1/2 or 0.25

Step-by-step explanation:

Brainliest Please!!

Answer:

that would be B

Step-by-step explanation:

Answer:

The answer is 5y + 12

Step-by-step explanation:

=8y - 3y + 12

=5y + 12