How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

The error interval for the area "a" of the triangle is:  13.17 cm² ≤ a < 16.065 cm²

Given data ,

Let's write "b" for the triangle's base and "h" for the height of the perpendicular.

The alternative values for "b" would be 7 cm or 6 cm, depending on whether the actual value of the base is closer to 7.5 cm or 6.5 cm, respectively.

The range of potential values for "h" is 4.45 cm to 4.55 cm, depending on whether the actual height value is more closely related to 4.45 cm or 4.55 cm, respectively

Now , area of the triangle = ( 1/2 ) x Length x Base

When base "b" is 7 cm and height "h" is 4.45 cm:

Minimum possible area = (1/2) * 7 * 4.45 = 15.615 cm²

When base "b" is 7 cm and height "h" is 4.55 cm:

Maximum possible area = (1/2) * 7 * 4.55 = 16.065 cm²

When base "b" is 6 cm and height "h" is 4.45 cm:

Minimum possible area = (1/2) * 6 * 4.45 = 13.17 cm²

When base "b" is 6 cm and height "h" is 4.55 cm:

Maximum possible area = (1/2) * 6 * 4.55 = 13.63 cm²

Hence , the error interval for the area "a" of the triangle is:

13.17 cm² ≤ a < 16.065 cm²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

Answer:

3: It will be neither. y=(x+5)^2 shifts y=x^2 to the left 5, it does not stretch or compress it.

4: The line of symmetry is y=-5

5: (-4,1) (-3,4) (-2,9)

We conclude that the data are consistent with Mendel's prediction of a 3:1 ratio of smooth to wrinkled peas.

To carry out a chi-square goodness-of-fit test, we need to calculate the expected number of smooth and wrinkled peas based on Mendel's prediction of a 3:1 ratio.

The total number of peas observed in the experiment is:n = 423 + 133 = 556The expected number of smooth peas is 3/4 of the total number of peas, and the expected number of wrinkled peas is 1/4 of the total number of peas.

Therefore, we have: Expected number of smooth peas = 3/4 × 556 = 417Expected number of wrinkled peas = 1/4 × 556 = 139

We can now calculate the chi-square statistic as follows:chi-square = Σ[(observed - expected)² / expected]where the sum is taken over the two categories (smooth and wrinkled).

For the observed values of 423 smooth and 133 wrinkled peas, we have: chi-square = [(423 - 417)^2 / 417] + [(133 - 139)^2 / 139]= 0.84 + 0.84= 1.68

The degrees of freedom for this test are (number of categories - 1), which is 2 - 1 = 1.

Using a significance level of 0.05 and a chi-square distribution table with 1 degree of freedom, we find that the critical value of chi-square is 3.84.

Since our calculated chi-square value of 1.68 is less than the critical value of 3.84, we fail to reject the null hypothesis that the observed frequencies do not differ significantly from the expected frequencies based on Mendel's prediction.

Therefore, we conclude that the data are consistent with Mendel's prediction of a 3:1 ratio of smooth to wrinkled peas.

Learn more about chi-square here:https://brainly.com/question/29728594

#SPJ1

Answer:

4/3

Step-by-step explanation:

The slope formula is y2-y1/x2-x1

take the y from one of the points and subtract the y from the other point, the divide that by the x of the first y you picked and subtract the x of the second y

(-16)-(-8)/(-15)-(-9)

-8/-6

simplify

4/3

the slope is 4/3

Answer:

x=0, 7

Step-by-step explanation:

x^2-3x=4x

x^2-7x=0

x(x-7)=0

x=0 or 7

Answer:

x=0  x=7

Step-by-step explanation:

x^2 -3x = 4x

Subtract 4x from each side

x^2 -3x-4x=0

x^2 -7x = 0

Factor out an x

x(x-7) =0

Using the zero product property

x=0  x-7 =0

x=0  x=7

Answer:

Step-by-step explanation:

f(x)=-3x²+6x-7

=-3(x²-2x+1-1)-7

=-3(x²-2x+1)+3-7

=-3(x-1)²-4

Greatest value=-4 and is obtained at x=1

The probability of a student completing the final examination in less than 65 minutes is 13.45%.

The time it takes to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. This can be expressed mathematically as X~N(77, 12).

The probability of a student completing the final examination in less than 65 minutes can be calculated by using the Z-score formula:

Z = (x - μ) / σ

Where x = 65 minutes, μ = 77 minutes, and σ = 12 minutes.

Plugging these values into the formula, we get:

Z = (65 - 77) / 12 = -1.17

Using a Z-score table, we can find the probability of a student completing the final examination in less than 65 minutes, which is equal to 0.1345, or 13.45%. Therefore, the probability of a student completing the final examination in less than 65 minutes is 13.45%.

Learn more about probability here:

brainly.com/question/30034780

#SPJ4

Answer:

8 root 17

Step-by-step explanation:

lets call the legs

x and 4x

so we know 16x2+x2=(34)2

17x2=34*34

x2=2*34

x2=68

x=2 root 17

4x=8 root 17

if you find my answer helpfu please mark as brainliest.

Answer:

No, the given is not a function.

Step-by-step explanation:

I am confused if the last half of the numbers belong to a y value or not, but the answer is the same regardless.

If all numbers provided are "x", then no; the given does not represent a function. This is because the "x" value has duplicates, which indicates a non function.

Even if the last 5 numbers belong to f(x), or "y", the given is still not a function. the duplicated number is "9", and the 9's would be an x value regardless of the form of the given information.

If 250 bricks are used to build a wall of 15 ft high then, there is total 1250 bricks will be used to build a wall that is 75 ft high.

Proportion:

A proportion is an equation between two ratios or rates that is useful in solving for a single unknown.

We have given that,

It takes 250 bricks to build a 15 ft high wall. Let us consider x bricks , is needed for a 75 ft high wall, use the ratio given for a 15 ft high wall and equate it to the ratio for the unknown number of bricks for a 75-ft high wall.

In making proportions, make sure that the rate on one side has the same units as the rate on the other as shown :

x/75 = 250/15

=> 15 × x = 250 ×75

=> x = 250×75/15

=> x = 1250

Thus, it will take 1250 bricks to build a wall 75 feet high.

To learn more about proportion , refer:

https://brainly.com/question/3371568

#SPJ4

Setting the widths of divs within a div to equal 90% of the page allows each div to take up 90% of its parent div's width, while setting just one div to be 90% of the page causes that div to take up 90% of the width of the entire webpage.

The difference between setting the widths of the divs that are within a div to equal 90% of the page and setting just one div to be 90% of the page is the way the divs will be displayed on the webpage.

When you set the widths of the divs that are within a div to equal 90% of the page, each individual div will take up 90% of the width of its parent div. This means that if you have multiple divs within the parent div, they will each take up 90% of the available space, but will still be contained within the boundaries of the parent div.

On the other hand, when you set just one div to be 90% of the page, that div will take up 90% of the width of the entire webpage, not just its parent div. This means that the div will expand to take up most of the available space, potentially pushing other elements on the webpage to the side.

In summary, setting the widths of divs within a div to equal 90% of the page allows each div to take up 90% of its parent div's width, while setting just one div to be 90% of the page causes that div to take up 90% of the width of the entire webpage.

Learn more about parent div's width

brainly.com/question/30169735

#SPJ11

Nathan and Ashley together ate 5/8 of the nachos. To find the fraction of the nachos that Nathan and Ashley ate together, we need to add the fractions of nachos that they each ate.

Nathan ate 3/8 of the nachos, and Ashley ate 1/4 of the nachos. We need to find a common denominator to add these fractions.

The lowest common multiple of 8 and 4 is 8, so we can convert Ashley's fraction to an equivalent fraction with a denominator of 8:
1/4 = 2/8
Now we can add the fractions:
3/8 + 2/8 = 5/8

To know more about fraction visit:-

https://brainly.com/question/10354322

#SPJ11

Answer:

259

Step-by-step explanation:

Answer:

97°

I forgot how to explain. Ah, I'm sorry. Please let me know if it's wrong but I'm sure it's right.

a. Decision rule: Reject the null hypothesis if the calculated z-value is less than or equal to -1.28. b. Calculated z-value: -1.8892. c. Conclusion: Reject the null hypothesis, indicating evidence that the population mean is less than 128.

To complete parts (a) through (c), we need to perform a hypothesis test for the given hypotheses

H0: μ = 128 (null hypothesis)

HA: μ ≤ 128 (alternative hypothesis)

Given: X= 119 (sample mean)

σ = 27 (population standard deviation)

n = 46 (sample size)

α = 0.10 (significance level)

a. The decision rule is to reject the null hypothesis if the calculated value of the test statistic is less than or equal to the critical value(s) of the test statistic. Since the alternative hypothesis is one-sided (μ ≤ 128), we will use a one-sample z-test and compare the calculated z-value with the critical z-value.

To find the critical z-value, we need to determine the z-value corresponding to the significance level α = 0.10. Looking up the critical value in the standard normal distribution table, we find that the critical z-value is -1.28 (rounded to two decimal places).

b. The calculated value of the test statistic, in this case, is the z-value. We can calculate the z-value using the formula

z = (X - μ) / (σ / √n)

Substituting the given values:

z = (119 - 128) / (27 / √46) ≈ -1.8892 (rounded to two decimal places)

c. The conclusion is based on comparing the calculated value of the test statistic with the critical value. Since the calculated z-value of -1.8892 is less than the critical z-value of -1.28, we have enough evidence to reject the null hypothesis. Therefore, we conclude that the population mean is less than 128.

The conclusion statement in part (c) is inconsistent with the given alternative hypothesis and should be revised accordingly.

To know more about null hypotheses:

brainly.com/question/28331914

#SPJ4

Answer:

Option 3

Step-by-step explanation:

If two ratios \(\frac{a}{b}\) and \(\frac{c}{d}\) are proportional,

\(\frac{a}{b}=\frac{c}{d}\)

By applying this property for the given options,

Option 1

If the given ratios \(\frac{24}{31}\) and \(\frac{20}{27}\) are proportional.

\(\frac{24}{31}=\frac{20}{27}\)

Which is false.

Therefore, ratios are not proportional.

Option 2

If the given ratios \(\frac{8}{9}\) and \(\frac{24}{26}\) are proportional,

\(\frac{8}{9}= \frac{24}{36}\)

\(\frac{8}{9}= \frac{6}{9}\)

False.

Therefore, given ratios are not proportional.

Option 3

If the given ratios \(\frac{16}{5}\) and \(\frac{64}{20}\) are proportional,

\(\frac{16}{5}=\frac{64}{20}\)

\(\frac{16}{5}=\frac{16}{5}\)

True.

Therefore, the given ratios are proportional.

Option 4

If the given ratios \(\frac{6}{4}\) and \(\frac{15}{10}\) are proportional,

\(\frac{6}{4}=\frac{15}{10}\)

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

True.

Therefore, given ratios are proportional.

Option 3 is the answer.

The given differential equation is not exact. To check if the differential equation is exact, we need to take partial derivatives of each term with respect to x and y and check if they are equal.

Since the partial derivatives are not equal, the differential equation is not exact.

To solve this equation, we need to use an integrating factor, a function that multiplies the entire equation to make it exact. The integrating factor for this equation is e^x:

Multiplying both sides of the equation by e^x, we get:

Now, if we take partial derivatives of each term with respect to x and y, we find that they are equal:

Since the partial derivatives are equal, the differential equation is now exact.

To solve the equation, we can integrate each term with respect to its corresponding variable. The solution is given by:

where C is the constant of integration.

Learn more about differential equations:

https://brainly.com/question/1164377

#SPJ4

Of total variation in "dependent-variable", the proportion which is explained by variation in "independent-variable" is called (b) coefficient of determination.

The "Coefficient-Of-Determination", denoted as R², is a statistical measure which represents the proportion of total-variation in the dependent variable which can be explained by  variation in "independent-variable".

It quantifies the percentage of dependent variable's variability which can be attributed to the independent variable. A higher coefficient of determination indicates a stronger relationship between the variables, which means that more of variation in "dependent-variable" can be accounted for by changes in the independent-variable.

Therefore, the correct option is (b).

Learn more about Coefficient Of Determination here

https://brainly.com/question/30764612

#SPJ4

The given question is incomplete, the complete question is

Of the total variation in the dependent variable, the proportion that is explained by the variation in the independent variable is called

(a) the coefficient of correlation

(b) the coefficient of determination

(c) the coefficient of skewness

(d) none of the above

You need to buy 1 stamp that costs 12 cents, 3 stamps that cost 4 cents each, and 8 stamps that cost 1 cent each, to have a total of 40 stamps and spend exactly $1.

The reasoning is as follows:

If you were to buy only 1 cent stamps, you would need to purchase 100 of them to spend $1, which would exceed the required 40 stamps. On the other hand, if you were to buy only 12 cent stamps, you would only be able to purchase 8 stamps, which would fall short of the required 40 stamps. Therefore, a combination of all three types of stamps is necessary.

Starting with the most expensive stamp, one 12 cent stamp leaves you with 88 cents. Then, 3 stamps of 4 cents each will cost you 12 cents, leaving you with 76 cents. Finally, 8 stamps of 1 cent each will cost you 8 cents, which adds up to $1 and gives you a total of 40 stamps.

For more questions like Combinations visit the link below:

https://brainly.com/question/29156801

#SPJ11

Answer :

1. Add 1 to both sides of the equation :

3t–1 =8

3t–1+1 =8+1

2. Add the numbers :

3t= 9

3. Divide both sides of the equation by the same term :

3t =9

3t/3 = 9/3

4. Simplify

• Cancel terms that are in both the numerator and denominator

• Divide the numbers

t =3

#Hope it helps!!

Answer:

x = 6

My Step-by-step explanation:

You can solve this problem through simple inspection. Because 18 – 6 = 12,

x= 6.

Answer: I don’t think this has a solution but

Step-by-step explanation:

y = 2x + 2

Explanation:

y = 2(1) + 2 equals 4 which is y when x is 1

y = 2(0) + 2 equals 2 which is y when x is 0

1. The test statistic falls outside the critical t-values therefore we reject the null hypothesis

2. The confidence interval is constructed as CI = x ± (t_(α/2, df) * (σ / √n))

3. The conclusion is there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm

1. Hypothesis Testing:

Null hypothesis (H₀): The mean inside bearing diameter is 8.25 cm.

Alternative hypothesis (H₁): The mean inside bearing diameter is not equal to 8.25 cm.

We will conduct a two-sided hypothesis test using a significance level (alpha) of 0.05.

Given:

Sample size (n) = 15

Sample mean (x) = 8.2535 cm

Standard deviation (σ) = 0.002 cm

To test the hypothesis, we will use a t-test since the population standard deviation is unknown and the sample size is small.

Calculate the test statistic (t-value):

t = (x - μ) / (σ / √n)

where μ is the hypothesized mean under the null hypothesis.

t = (8.2535 - 8.25) / (0.002 / √15)

t = 6.77

Calculate the critical t-values for a two-sided test at a 95% confidence level (alpha = 0.05):

Since the sample size is small (n = 15), we will use the t-distribution and degrees of freedom (df = n - 1 = 14) to find the critical t-values.

t_critical = ± t_(α/2, df)

If you look up the critical t-value for alpha/2 = 0.025 and df = 14 in the t-table or use a statistical calculator, we have 2.51

t_critical = 2.51

Compare the test statistic to the critical t-values:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis.

2. Confidence Interval:

To construct a 95% confidence interval, we will use the formula:

CI = x ± (t_(α/2, df) * (σ / √n))

3. Conclusion:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm.

Learn more about hypothesis testing here:

https://brainly.com/question/15980493

#SPJ1

Simplified version of the given radical expression would be...

\(5x^2\sqrt{7x}\)

Hope this helps!

Answer:

4b + 2 = 3b = -2

5x-2=3x+4 = 3

Step-by-step explanation:

Simplifying

4b + 2 = 3b

Reorder the terms:

2 + 4b = 3b

Solving

2 + 4b = 3b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-3b' to each side of the equation.

2 + 4b + -3b = 3b + -3b

Combine like terms: 4b + -3b = 1b

2 + 1b = 3b + -3b

Combine like terms: 3b + -3b = 0

2 + 1b = 0

Add '-2' to each side of the equation.

2 + -2 + 1b = 0 + -2

Combine like terms: 2 + -2 = 0

0 + 1b = 0 + -2

1b = 0 + -2

Combine like terms: 0 + -2 = -2

1b = -2

Divide each side by '1'.

b = -2

Simplifying

b = -2

=-----------------------------------------

Simplifying

5x + -2 = 3x + 4

Reorder the terms:

-2 + 5x = 3x + 4

Reorder the terms:

-2 + 5x = 4 + 3x

Solving

-2 + 5x = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-2 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x

-2 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0

-2 + 2x = 4 + 0

-2 + 2x = 4

Add '2' to each side of the equation.

-2 + 2 + 2x = 4 + 2

Combine like terms: -2 + 2 = 0

0 + 2x = 4 + 2

2x = 4 + 2

Combine like terms: 4 + 2 = 6

2x = 6

Divide each side by '2'.

x = 3

Simplifying

x = 3

Answer:

Step-by-step explanation:

Circumference = π × diameter

3.14 = π

3,14 × 12 = 37.68 cm

Answer:

m+3=amount of cups he needs to make brownies

Step-by-step explanation:

If he has m amount of cups and he needs 3 more to make the brownies, If you just add 3 to m amount it should be the right answer

Sorry if im wrong

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

Answer:

7 4/6 - 5 5/6 = 1.83 or 1 5/6

Hope This Helps!