i need the answer for this plsss

Answer:

V = (10*6*12)/3

V = 720/3

V = 240 cm^3

Step-by-step explanation:

V = LWH/3

L = base length

W = base width

H = pyramid height

Answer:

$676

Step-by-step explanation:

26 percent of 2600 is 676.

2600 x .26

Answer:

2.5 or 5/2

Step-by-step explanation:

The formula for the area of a triangle is \dfrac{bh}{2}, where b represents the length of the base and h represents the length of the height. With this in mind, you can set up the following equation:

[tex]\dfrac{15}{8}=\dfrac{1.5b}{2}[/tex]

[tex]\dfrac{15}{4}=1.5b[/tex]

b=2.5 or [tex]\frac{5}{2}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

You can write the linear system model as follows. Let t, l, c represent acres of tomatoes, lettuce, and carrots, respectively. The we have ...

  t + l + c ≤ 120 . . . . . constraint on available land

  5t +4l +2c ≥ 480 . . requirement for spending on fertilizer

  4t +2l +2c ≤ 600 . . constraint on available labor

  t ≥ 0; l ≥ 0; c ≥ 0 . .  requirement for non-negative acres

Then the objective function (profit) is ...

  p = 3000t +1400l +400c

The linear programming problem is to maximize p subject to the above constraints.

__

Any of a variety of solvers can find the solution to this problem. That solution is ...

  (t, l, c) = (120, 0, 0) and p = 360,000

In summary ...

  tomatoes acre(s) = 120 (all available acres are used)

  lettuce acre(s) = 0

  carrots acre(s) = 0

  profit $ = $360,000

_____

Additional comments

This solution suggests that it can be found simply by examining the profit associated with each unit of resource.

  profit per acre is maximized for tomatoes, at $3000 per acre

  profit per fertilizer dollar is maximized for tomatoes, at $600 per dollar

  profit per labor hour is maximized for tomatoes, at $750 per hour

That is, the profit per acre is maximized for tomatoes, regardless of the resource being considered. Thus it make sense to put all of the acreage in tomatoes. At $5 per acre for fertilizer, we use $600 worth of fertilizer. At 4 hours per week per acre, we use 480 hours of labor, so not all available labor is used.

To maximize profits, use linear programming to find the number of acres for each crop. The total farm acres used depends on the constraints.

To maximize total profits, the number of acres of each crop should be determined. Let's assign the variables t, l, and c to represent the number of acres of tomatoes, lettuce, and carrots, respectively. We have the following constraints:

The objective is to find the values of t, l, and c that satisfy the constraints and maximize the profit. This is a linear programming problem that can be solved using methods such as the simplex method or graphical method.

To determine if all 120 acres will be used, we need to check if t + l + c = 120 under the constraints.

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Answer:

The students have eaten 72 ounces of fruit snacks.

X = 72 ounces

Step-by-step explanation:

There are total 20 packs of fruit snacks

The weight of each pack is 6 ounces.

Let us first find the total weight of the snacks.

Total weight = 6*20

Total weight = 120 ounces

Let X represents the ounces of fruit snacks that students have eaten.

Let Y represents the 48 ounces of fruit snacks left in the box

Total weight = X + Y

120 = X + 48

X = 120 - 48

X = 72 ounces

Therefore, the students have eaten 72 ounces of fruit snacks.

Answer:

x = 72 ounces

The number of ounces of fruit snacks the students ate is 72 ounces

Step-by-step explanation:

Given;

Let x represent the number of ounces of fruit the students ate;

The total number of ounces of fruit initially in the box is;

20 packs × 6 ounces/pack = 120 ounces

The remaining ounces of fruit is;

48 ounces

Therefore;

120 - x = 48

Solving for x;

x = 120 - 48

x = 72 ounces

The number of ounces of fruit snacks the students ate is 72 ounces

Answer:

$159075.84

Step-by-step explanation:

100-7.6=92.4

1721.60*92.4=$159075.84

Answer:(x-5)^2+(y-4)^2=49

Step-by-step explanation:

equation of a circle is:

(x-h)^2+(y-k)^2=r^2

(x-5)^2+(y-4)^2=7^2

(x-5)^2+(y-4)^2=7x7

(x-5)^2+(y-4)^2=49

The equation of the circle of center (5, 4) and radius 7, is:

(x - 5)^2 + (y - 4)^2  = 49

The general equation for a circle of radius R centered at the point (a, b) is:

(x - a)^2 + (y - b)^2 = R^2

In this case, the center is (5, 4) and the radius is 7, so we need to replace:

a = 5

b = 4

R = 7

Then the equation is:

(x - 5)^2 + (y - 4)^2 = 7^2 = 49

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The number at the end of the equation shifts the graph up or down.

Changing the 1/2 to a -2 would shift the graph down which would change the y-intercept.

The answer is D.

The 95% confidence interval for the number of hours students at the college study weekly, given a sample size of 49, mean of 12.2 hours, and standard deviation of 1.6, is from 11.62 hours to 12.78 hours.

In statistics, the 95% confidence interval for the mean number of hours students study in a week can be calculated using the collected data and the t-distribution. Given that the sample size is 49 (n=49), the sample mean(x) is 12.2 hours, and the standard deviation(s) is 1.6 hours, we need to apply the formula for the confidence interval which is x ± t∗(s/√n). The t-value for 95% confidence with 48 degrees of freedom (49-1) can be found using the t-distribution Inverse Calculator applet, which is about 2.01 (it varies slightly depending on the calculator used).

Now, plug in the given values into the formula: 12.2 ± 2.01 * (1.6 / √49), it simplifies to 12.2 ± 0.58. So, the 95% confidence interval for the number of hours students in the college study each week is from 11.62 hours to 12.78 hours.

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Answer: 1/2

Step-by-step explanation:

Answer:

16% of the apples have diameters that are less than 6.82cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.25cm

Standard deviation = 0.43cm

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Using the empirical rule, what percentage of the apples have diameters that are less than 6.82cm?

6.82 = 7.25 - 1*0.43

So 6.82 is one standard deviation below the mean.

Of the 50% of the diameters below the mean, 68% are within 1 standard deviation of the mean.

So 100-68 = 32% are not within 1 standard deviation of the mean.

0.5*0.32 = 0.16

16% of the apples have diameters that are less than 6.82cm

Complete Question

The line plot shows the amount of green ooze (in cup) carried by ten contestants. Find the amount each contestant would carry if the total amount carried (5 cups) was redistributed equally among all the contestants.

Answer:

1/2 Cup

Step-by-step explanation:

This is a Line Plot in which:

Total

[tex]=(\frac{1}{4}X2) +(\frac{3}{8}X2) +(\frac{1}{2}X2) +(\frac{5}{8}X3) +(\frac{7}{8}X1) \\\\=\frac{2}{4} +\frac{6}{8} +1 +\frac{15}{8} +\frac{7}{8}\\\\$=5 Cups[/tex]

If this amount was redistributed equally among the ten contestants:

Each contestant would carry (5/10) cups =1/2 cup.

Answer:585 cubic inch

Step-by-step explanation:

volume=15 x 10 x 3 + 9 x 3 x 5

Volume=450 + 135

Volume=585

Answer:

His salary after 20 years is $48892

Step-by-step explanation:

Kevin started his new job with a salary of $26,550.

We are also given that every year, he receives a 3.1% increase in his salary

So, rate of increase = 3.1%

Formula : [tex]y(t)=y_0(1+r)^t[/tex]

Where y(t)= Amount after t years

[tex]y_0[/tex] = initial amount = 26550

r = rate of increase in decimals = [tex]\frac{3.1}{100}[/tex]

t = time =20

we are supposed to find his salary after 20 years

Substitute the values in the formula :

Salary after 20 years = [tex]26500(1+\frac{3.1}{100})^{20}=48892.00[/tex]

Hence His salary after 20 years is $48892

Answer:

(4, -1)

Step-by-step explanation:

The point of intersection of two lines is also the solution to the system of equations of the two lines

Step-by-step explanation:

The answer to this question is where both of the lines intersect.  For this problem, the answer is (4, -1)

Look at the attachment for clarification:

Answer:

D. This scenario should be analysed using paired data because the groups are dependent and have a natural pairing.

Step-by-step explanation:

Paired Data can be defined as data set, when sample units of one data set are related to sample units in other data set.

Research Study about spouses number of hours of sleep each night is paired data. As, each man in the male sample group is related to a corresponding woman (his wife) in the female sample group. So, they have a natural paring & they, their sleep schedules are dependent on each other.

Based on the information given, this scenario should be analyzed using paired data because the groups are dependent and have a natural pairing.

In conclusion, the correct option is D.

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Answer: The answer is C (about 47%) because the total amount of Mountain View residents is 0.38, 0.18 people chose Olunloyo, which is about 47 percent of residents.

To find out what percentage of the Mountain View polled supported Olunloyo, divide the number of Olunloyo supporters by the total number of poll participants, and multiply by 100. This reflects the views of the polled sample, not the entire population.

To determine what percentage of the Mountain View polled supported Olunloyo, you would first need to know the total number of people who participated in the poll from Mountain View. Then, find out the number of these participants who indicated their support for Olunloyo. Divide the number of supporters by the total number of participants, and multiply the result by 100. This will give you the percentage of Mountain View residents in the poll who supported Olunloyo. Remember that this only applies to the sample of the population that participated in the poll and may not reflect the entire population of Mountain View.

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Answer:

Polygons - Hexagons. So, the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

Step-by-step explanation:

Search google

Final answer:

Two regular hexagons are congruent when they have equal side lengths, making them identical in shape and size. The definition of a regular hexagon as having equal sides and angles, paired with the criteria for congruence, confirms this. However, without equal side lengths, hexagons may only be similar, not congruent.

Explanation:

The question of whether two regular hexagons are always congruent comes down to understanding the definition of both a regular hexagon and congruence in geometry. A regular hexagon is a six-sided polygon where all sides and angles are equal. Congruent figures, on the other hand, are those that are identical in shape and size, meaning their corresponding sides and angles are equal. Thus, two regular hexagons that have the same lengths of sides are indeed congruent because they will have identical shapes and sizes, fulfilling the criteria for congruence.

However, it's important to note that while all regular hexagons will be similar (having the same shape but not necessarily the same size), they are only congruent if their side lengths are equal. This distinction is key in understanding the conditions under which two regular hexagons can be considered congruent. Without the specification of size, two hexagons can still be similar but not congruent.

In summary, two regular hexagons are congruent when they have the same side lengths, hence matching in both shape and size. This specific condition must be met for congruence to hold between any two geometric figures, including regular hexagons.

g(x) = ⅞x - ½

g(7) = ⅞(7) - ½

= 49/8 - ½

= 49/8 - 4/8

= 45/8

= 5 ⅝

So, the value of g(7) for that function is 5 ⅝

Hope it helpful and useful :)

The value of the given function for g(7) is 45/8.

The given function is [tex]g(x)=\frac{7}{8}x-\frac{1}{2}[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

We need to find the value of g(7)

Substitute x=7 in the given function and simplify, we get

[tex]g(7)=\frac{7}{8}(7)-\frac{1}{2}[/tex]

= 49/8 - 1/2

= 49/8 - 4/8

= 45/8

Hence, the value of the given function for g(7) is 45/8.

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Answer:

C -9a - 15

Step-by-step explanation:

bionomial means two terms

Answer:

Jo : μ ≤ 64.

Jo : μ > 64.

Step-by-step explanation:

From the question, the Important information to solve this question is that; ''the speed limit on this portion of Interstate 95 is 64 mph''.

The question wants us to find the fact that the average speed is greater or more than the speed limit.

Therefore, In order to solve this question, the formula to use is the ''null and alternative" hypothesis. It states that;

Jo : μ ≤ 64.

Jo : μ > 64.

The above expression is the competing hypotheses in order to determine if the average speed is greater than the speed limit.

Final answer:

The desired exponential function that goes through the points (0,18) and (2,288) is y=18 × 4^x.

Explanation:

To write an exponential function in the form y = ab^x that passes through the points (0,18) and (2,288), we first use the given points to find the values of a and b.

When x = 0, the equation simplifies to y = a because b0 equals 1. Therefore, from the point (0,18), we can conclude that a equals 18.

Next, substituting x = 2 and y = 288 into the equation and using the value of a, we have 288 = 18 × b^2. To find b, divide both sides by 18 to get b^2 = 16, which means b = 4 since b is positive in the growth of an exponential function.

So the desired exponential function is y = 18 × 4^x.

Answer:

The test statistic value is 1.474.

Step-by-step explanation:

In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.

If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..

The hypothesis for this test can be defined as follows:

H₀: The proportion of irregular t-shirts is 8%, i.e. p = 0.08.

Hₐ: The proportion of irregular t-shirts is more than 8%, i.e. p > 0.08.

The information provided is:

n = 100

X = number of irregular t-shirts = 12

Compute the sample proportion as follows:

[tex]\hat p=\frac{X}{n}=\frac{12}{100}=0.12[/tex]

Compute the test statistic as follows:

[tex]t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

  [tex]=\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474[/tex]

Thus, the test statistic value is 1.474.

Answer:

The committee can be formed in 31,752 ways.

Step-by-step explanation:

Every committee position has the same duties and voting rights. This means that the order in which the members are chosen is not important to solve this question. So the combinations formula is used.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In how many ways can the committee be formed

4 faculty members from a set of 9

5 students from a set of 10.

Then

[tex]T = C_{9,4} \times C_{10,5} = \frac{9!}{4!(9-4)!} \times \frac{10!}{5!(10-5)!} = 31752[/tex]

The committee can be formed in 31,752 ways.

Answer:

5

Step-by-step explanation:

2 log₃(x + 4) − log₃9 = 2

2 log₃(x + 4) − log₃3² = 2

2 log₃(x + 4) − 2 = 2

2 log₃(x + 4) = 4

log₃(x + 4) = 2

3^(log₃(x + 4)) = 3^2

x + 4 = 9

x = 5

The solutions to the logarithmic equation 2 log₃(x + 4) - log₃(9) = 2 are x = 5 and x = -13.

To solve the logarithmic equation 2 log₃(x + 4) - log₃(9) = 2, we can use logarithmic properties to simplify the equation and then solve for x.

First, let's apply the properties of logarithms:

2 log₃(x + 4) - log₃(9) = 2

Using the power rule of logarithms, we can rewrite 2 log₃(x + 4) as log₃((x + 4)²):

log₃((x + 4)²) - log₃(9) = 2

Next, we can combine the logarithms using the quotient rule:

log₃((x + 4)² / 9) = 2

Now, we can eliminate the logarithm by rewriting the equation in exponential form:

3² = (x + 4)² / 9

9 = (x + 4)² / 9

Multiplying both sides of the equation by 9:

81 = (x + 4)²

Taking the square root of both sides:

±√81 = ±√((x + 4)²)

±9 = x + 4

Solving for x, we have two possible solutions:

x + 4 = 9

x = 9 - 4

x = 5

or,

x + 4 = -9

x = -9 - 4

x = -13

Therefore, the solutions to the logarithmic equation 2 log₃(x + 4) - log₃(9) = 2 are x = 5 and x = -13.

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Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: Systolic blood pressure of a U.S. adult. (mmHg)

X~N(μ;σ²)

μ= 122 mmHg

σ= 20 mmHg

For all calculations you have to work under the standard normal distribution, because it is tabulated. It is easier and faster to standardize or "translate" all values of X into values of Z and look for the corresponding probabilities in the table than to manually calculate them using the density function of the normal distribution.

The standard normal distribution is derived from the normal distribution. Considering a random variable X with normal distribution, mean μ and variance δ², the variable Z =(X-μ)/δ ~N(0;1) is determined.

Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.

Since the distribution is centered in zero, there are two entries for its table, the left entry shows the cumulated probabilities corresponding to negative values of Z: P(Z≤z)=α and the right entry show the cumulated probabilities corresponding to positive values of Z: P(Z≤z)= 1 - α

a)

You need to calculate the percentage/ proportion of U.S. adults that have a systolic pressure greater than 142 mmHg, symbolically:

P(X>142) = 1 - P(X≤142)

To standardize this value od the variable you have to do the following calculation:

Z =(X-μ)/δ= (142-122)/20= 1

Now you look in the right entry for the cumulative probability until z= 1.00

(Remember, the first column of the table shows you the integer and first digit, the first row of the table shows you the second integer of the z value)

P(Z≤1)= 0.84134

Now you calculate the asked value:

P(X>142) = 1 - P(X≤142)= 1 - P(Z≤1)= 1 - 0.84134= 0.15866

b)

The sample mean is derived from a random variable with a normal distribution it shares that distribution with the exception that its variance is directly affected by the sample size:

X[bar]~N(μ;σ²/n)

μ= 122 mmHg

σ/√n= 20/√29= 3.71 mmHg

c)

The claim is that the mean systolic pressure of the employees is higher than the national average, symbolically μ> 122

The statistical hypotheses are:

H₀: μ≤ 122

H₁: μ> 122

d)

t= 5.495 p-value: 0.000003591

In this example the test statistic depends on the mean and the p-value is 3.591*10⁻⁶. This value indicates that 0.0003591% of the samples with size n=29 taken from a population with mean 122 mmHg, will produce a mean that provides evidence as (or stronger) than the current sample that μ is not at most 122 mmHg.

e)

The type II error is the scenario when you fail to reject the null hypothesis when the hypothesis is false. In this case, it is to fail to reject that the average systolic pressure of the company's employees is at most as the national average.

f)

The variable "X: Age of an employee" was recorded and linear regression of the systolic blood pressure as a function of the employee's ages estimated.

^Y= 97.0771 + 0.9493Xi

0.9493mmHg/years is the modification of the estimated average systolic blood pressure of the company's employees when their age increases one year.

g)

To determine the type of linear regression between the two variables, you have to analyze the slope of the equation:

As you can see in the graphic, the slope of the regression is positive, which means there is a positive regression between the systolic pressure and the age of the employees. I.e. each time the age of the employee increases, his systolic pressure also increases.

To determine the strength of the regression between these two variables you have to analyze the coefficient of determination R²:

The coefficient of determination gives you an idea of how much of the variability of the dependent variable (Y) is due to the explanatory variables under the estimated regression. It takes values between 0 to 1 or 0 to 100% if expressed in percentage. The closer the coefficient is to zero, the weaker the relationship between these two variables.

The closer the coefficient is to 100%, the stronger the relationship between these two variables.

R²= 0.712

71.2% of the variability of the systolic pressure is explained by the age fo the employees under this estimated model ^Y= 97.0771 + 0.9493Xi

The relationship between these variables is strong enough to consider the regression.

I hope this helps!

Answer:it’s strong the person under me is slow

Step-by-step explanation: cause I said so

Answer:

The value of x is equal to 26 cm.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this problem.

[tex]a^2+b^2=c^2[/tex]

[tex]a=10\\b=24\\c=?[/tex]

[tex]10^2+24^2=c^2[/tex]

[tex]100+576=c^2[/tex]

[tex]676=c^2[/tex]

[tex]\sqrt{676} =\sqrt{c^2}[/tex]

[tex]26=c[/tex]

Answer:

it is 6,358.2. hope this helps