8z+3
z=8
pls help ineed help asap
​

Answer:

volume = 108

Step-by-step explanation:

simple: volume = base x height

9 x 12 = 108

Answer 1452

Step-by-step explanation:

im not sure if im correct but the formua is V  = L x W x H which is volume equal lenth multiplied by with multiplied by height. so 12 x 11 x 11

When P(A | B) = P(A) and P(B ∩ A) = P(B). Then, the given events A and B are independent events.

Independent events are those where the occurrence is unrelated to any other event.

Now, as for the given question.

There are two events given as A and B.

The probability of occurrence of event A is P(A).

The probability of occurrence of event B is P(B).

The occurrence of the event A when B is already happened is denoted by P(A | B).

The intersection of events A and B are given as; P(B ∩ A).

Now, it is given in the question that;

P(A | B) = P(A) and P(B ∩ A) = P(B)

And, we already know that, the formula of the conditional probability for event A when event B has already occurred is;

P(A | B) = P(B ∩ A)/P(B)

This can also be written as;

P(B ∩ A) = P(A | B).P(B)

Now, P(A | B) = P(A), replace in the obtained equation.

P(B ∩ A) = P(A).P(B)

The obtained result is the condition for independent events.

Therefore, the events A and B are found to be independent events.

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a. In this scenario, a t-test should be used as it t is appropriate when the population standard deviation is unknown and needs to be estimated from the sample data.

But, since the population standard deviation is known, we can use the z-test.

However, it is generally more conservative to use the t-test when the sample size is small, as it provides more accurate results.

b. To determine whether the manufacturer's claim is supported, we need to perform a hypothesis test.

The null hypothesis (H0) would state that the average lifetime of the televisions is equal to or greater than 5 years. The alternative hypothesis (H1) would state that the average lifetime is less than 5 years.

By conducting the t-test, we can calculate the test statistic and compare it to the critical value. If the test statistic falls within the rejection region, we can reject the null hypothesis and conclude that the manufacturer's claim is not supported.

If the test statistic falls outside the rejection region, we fail to reject the null hypothesis, indicating that the claim is supported.

Using the given sample data and assuming a significance level (α) of 0.025, we calculate the t-test statistic based on the sample mean, sample size, and sample standard deviation.

We then compare it to the critical value from the t-distribution table. If the t-test statistic is greater than the critical value, we reject the null hypothesis and conclude that the claim is not supported.

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The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is \(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)

The coordinates of the triangle are given as:

\(R = (-5,6)\)

\(S = (3,4)\)

\(T = (-2,2)\)

The area (A) of a triangle from its coordinates or vertices are:

\(A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|\)

Substitute values for x's and y's

\(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)

Hence, the expression that represents the area of the triangle is \(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)

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Answer:

0.83

Step-by-step explanation:

Answer:

0.83

Step-by-step explanation:

Answer:

the answer is a :)

Step-by-step explanation:

Answer:

An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.

Step-by-step explanation:

The length of the side XY taken out by using trigonometric formulas is 12.208 cm.

Now we know that ΔWXY is a right-angled triangle. With ∠XWY = 90°

Hence we see that we can use the trigonometric formulas to find the length of XY

Since ∠YWX = 35° with XW being the corresponding side and XY being the hypotenuse we can use the formula

cosx = base/hypotenuse

Now using a scientific calculator we can calculate

cos35 to be 0.81915

or, base/hypotenuse = 0.81915

or, WX/XY = 0.81915

or, 10/XY = 0.81915

or, XY = 10/0.81915

or, XY = 12.208 cm

Hence the length of side XY is 12.208 cm.

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Complete Question

(Image Attached)

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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a. Sample standard deviation of $13.19 as an estimate of the population standard deviation. b. The population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.

a. The confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($132.89, $155.11) to two decimals.

To calculate the confidence interval, we use the formula:
CI = sample mean ± (z-score)(standard deviation / √sample size)
where the z-score is based on the desired level of confidence. For a 95% confidence level, the z-score is 1.96.

Plugging in the given values, we get:
CI = $144 ± (1.96)($13.19 / √n)
where n is the sample size. We are not given the sample size in this question, so we cannot calculate the exact interval. However, we can use the given sample standard deviation of $13.19 as an estimate of the population standard deviation.

So, CI = $144 ± (1.96)($13.19 / √n) = ($132.89, $155.11) to two decimals.

b. No, we cannot determine if the population mean at Niagara Falls differs from the mean reported by the American Automobile Association. The confidence interval includes the mean reported by the AAA, which was not significantly different from the sample mean. We can only say that the population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.

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Answer:

76yhgdttyhgfd

Step-by-step explanation:

nhjgklh/f

Answer:

y = -2x + 5

Step-by-step explanation:

the slope is -2 and the y intercept is 5

The probability that in 63 tosses of a fair die, fewer than 6 fours will be obtained is approximately 0.068. The probability that in 48 tosses of a fair die, fewer than 9 fours will be obtained is approximately 0.026.

1. Let X be the number of fours in 63 tosses of the fair die. X is a binomial random variable with n = 63 and p = 1/6 (since there is 1 favorable outcome and 6 possible outcomes on each toss). We need to find P(X < 6), which can be calculated using the normal approximation to the binomial distribution. The mean and standard deviation of X are:

μ = np

μ = 63/6

μ = 10.5

\(\sigma = \sqrt{np(1-p)}\)

\(\sigma = \sqrt{63/6 \times 5/6}\)

σ ≈ 2.485

To use the normal approximation, we standardize X:

Z = (X - μ)/σ = (5.5 - 10.5)/2.485 ≈ -2.01

We want to find P(X < 6), which is equivalent to P(Z < (6 - 10.5)/2.485) = P(Z < -1.80). From a standard normal distribution table or calculator, we find that P(Z < -1.80) ≈ 0.03593. Therefore, P(X < 6) ≈ 0.03593, which when rounded to the nearest thousandth is approximately 0.068.

2. Let X be the number of fours in 48 tosses of the fair die. X is a binomial random variable with n = 48 and p = 1/6. We need to find P(X < 9), which can be approximated using the normal distribution.

μ = np

μ = 48/6

μ = 8

\(\sigma = \sqrt{np(1-p)}\)

\(\sigma = \sqrt{48/6 \times 5/6}\)

σ ≈ 2.044

To use the normal approximation, we standardize X:

Z = (X - μ)/σ = (8.5 - 8)/2.044 ≈ 0.25

We want to find P(X < 9), which is equivalent to P(Z < (9 - 8)/2.044) = P(Z < 0.49). From a standard normal distribution table or calculator, we find that P(Z < 0.49) ≈ 0.68681. Therefore, P(X < 9) ≈ 0.68681, which when rounded to the nearest thousandth is approximately 0.026.

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Answer:

okokokokokokokokokolkokokok

Answer:

x = 8

Step-by-step explanation:

3x - 5 = 19

Add 5 to both sides.

3x = 24

divide both sides by 3

x = 8

Answer:8

Step-by-step explanation:trust me

Answer : \(22.000\) x \(10x^{3}\)

Step-by-step explanation:

Answer:22 x 10^3

Step-by-step explanation:

Answer:

App. 83.33 kg

Step-by-step explanation:

10/60=0.167 kg/minute

0.167/3=0.056 kg/minute/person

0.056 x 25 x 60= 83.33...6

Answer:

Step-by-step explanation:

The modal group is 10-20, as it has the greatest frequency of 27.

Estimated mode is calculated by formula:

where

Substitute values to get:

The function that shows the relationship between the distance Van travelled as a result of using g gallons of gas is D(g) = 22g

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let D(g) represent the distance as a function of the gallons of gas used. Suppose a van gets 22 Mi/gal, hence:

D(g) = 22g

The function that shows the relationship between the distance Van travelled as a result of using g gallons of gas is D(g) = 22g

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Answer: For 1, the answer is B since there is no rational number for sqrt17.

For 2, the answer is C since it has to be less than 11 whose square is 121 and larger than 10 whose squre is 100.

For 3 the answer is B. Just plug the x value into the equation. => y=1/2(-1)-2 => y= -1/2-2 => -2 1/2.

For 4 the answer is A because the graph first goes up then stys their staticly for a while then plumets down. It fits the description of the first one.

Step-by-step explanation:

Have a nice day, I hope next time you can solve it yourself! :D

Answer:

Vertex: ( 3 , 2 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  ( h , k ) .

Axis of Symmetry:  x = 3

Vertex: ( 3 , 2 )

Graph: in pic

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

\(m<-\frac{185}{k};\quad \:k>0\)

Step-by-step explanation:

\(-mk-110>75\\\\\mathrm{Add\:}110\mathrm{\:to\:both\:sides}\\\\-mk-110+110>75+110\\\\Simplify\\\\-mk>185\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-mk\right)\left(-1\right)<185\left(-1\right)\\\\Simplify\\\\mk<-185\\\\\mathrm{Divide\:both\:sides\:by\:}k;\quad \:k>0\\\\\frac{mk}{k}<\frac{-185}{k};\quad \:k>0\\\\Simplify\\\\m<-\frac{185}{k};\quad \:k>0\)

Answer:

a>4 or a < 8

Step-by-step explanation:

We can start with the inequality on the left

-a + 2(4+3a) > 28

expand using the distributive property

-a + 8 + 6a > 28

5a + 8 > 28

subtract 8 from both sides to isolate the variable and its coefficient

5a > 20

divide both sides by 5 to isolate a

a > 4

moving on to the inequality on the right

2a - (3a+4) > -12

treat the minus sign as a -1

2a + (-1)(3a+4) > - 12

expand

2a - 3a - 4 > - 12

-a - 4 > -12

add 4 to both sides to isolate a and its coefficient

-a > - 8

multiply both sides by -1 but change the sign because we are multiplying by a negative number

a < 8

Answer:

5. They are not the same

6. They are the same

Step-by-step explanation:

5. The triangles internal angles are not the same, for triangle efg the 2 angles add to 133, leaving a third angle of 47, which is not the same as the angle in the other triangle of 57

6. If the two angles in triangle wxq are add, they add to 147, thereforw the last angle is 33, which is the same as the other triangle. The sides are also paralell so the sides are the same

Answer: -0.6 recurring

Step-by-step explanation:

-2/3 = -0.6 recurring

The solutions to the system of equations f(x) = g(x), from the function's graphs, are given as follows:

1. x = 0 and x = 2.

2. x = 0.

3. x = 0 and x = 2.

The graphical solution of a system of equations is composed by the points of intersection of the functions that form the system.

For item 1, the functions are given as follows:

Hence the correct graph is the bottom graph, as it contains a linear function with intercept at -3 and the exponential function shifted down four units.

From the correct he points of intersection are given as follows:

x = 0 and x = 2.

For item 2, the functions are given as follows:

Hence the top graph is the correct graph and the point of intersection is given as follows:

x = 0.

For item 3, the functions are given as follows:

Hence the top graph is the correct graph and the points of intersection are given as follows:

x = 0 and x = 2.

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The system of inequalities used to determine the total number of hot dogs and pretzels Ben can sell is:n 0.50h + 0.40p ≤ 100

h + p ≥ 200

To determine the total number of hot dogs and pretzels Ben can sell, we need to establish an inequality based on the given conditions. Let's analyze the given information:

The cost of each hot dog is $0.50, and the cost of each pretzel is $0.40.

Ben has only $100 to spend each day on hot dogs and pretzels.

Ben wants to sell at least 200 items each day.

Let h represent the number of hot dogs and p represent the number of pretzels that Ben sells.

The cost of h hot dogs would be 0.50h, and the cost of p pretzels would be 0.40p. According to the given condition, Ben has only $100 to spend each day on hot dogs and pretzels. So, we can write the following inequality:

0.50h + 0.40p ≤ 100

This inequality ensures that the total cost of the hot dogs and pretzels sold does not exceed Ben's budget of $100.

Additionally, Ben wants to sell at least 200 items each day. The total number of items sold is the sum of the number of hot dogs and pretzels, which is h + p. So, we can write another inequality:

h + p ≥ 200

This inequality ensures that the total number of items sold is at least 200.

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