The vertex angle of an isosceles triangle measures 40°. what is the measure of a base angle? 40° 70° 100° 140°

Answer:

ok im telling people to help u because i dont know that xd

Step-by-step explanation:

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

55

Step-by-step explanation:

...............................

We have derived ZY-E using Armstrong's axioms.

To derive ZY-E using Armstrong's axioms, we'll go through a series of steps using the given functional dependencies and the axioms of Armstrong's closure.

The given attribute set is ZY-E.

Apply reflexivity:

ZY-E ∪ ZY-E ⇒ ZY-E

Apply augmentation:

ZY-E ⇒ ZY-XE (using the functional dependency ZY-X)

Apply transitivity:

ZY-XE, XE → GH ⇒ ZY-GH (using the functional dependency XE → GH)

Apply augmentation:

ZY-GH ⇒ ZY-GHE

Apply decomposition:

ZY-GHE ⇒ ZY-E

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Answer:

The ordered pair (15, 12) means that 15 pounds of beans cost $12.

Step-by-step explanation:

(20, 16)

(x, y)

x is along the x-axis and y is along the y-axis.

x = 20 = 20 pounds of beans

y = 16 = 16 is the cost of the beans

(15, 12)

x = 15 is 15 pounds of beans

y = 12 is 12 for the cost of the beans

Answer: 15 pounds of beans costs 12 dollars

Step-by-step explanation:

if the x-axis represents the pounds of beans, then any x-coordinate will be beans.

Answer:

The square root of 3 is an irrational number

Step-by-step explanation:

A rational number is defined as a number that can be expressed as the division of two integers, i.e. p/q. where q is not zero.

√3 = 1.7320508075688772...and keeps getting longer. √3 is an irrational number because the decimal point does not end or repeat.

Answer:

Step-by-step explanation:

Andrew calculated it correctly

Angles 110 and x are supplementary as consecutive interior angles

Correct choice is C

Answer:

C

Step-by-step explanation:

Answer:

a.) yes

b.) no

c.) yes

d.) yes

Step-by-step explanation:

Answer:

a. (2)(6)+4=(3)(6)−2

16=16 Yes

b. 14(8)+3=34(8)+1

5≠7 No

c. (3)(2)−5=(0.5)(2)

1=1 Yes

d. 23((3)(8)+6)=(3)(8)−4

20=20 Yes

Step-by-step explanation:

Answer:

125 : 729

Step-by-step explanation:

Given the ratio of the radii of 2 similar spheres = a : b , then

ratio of volumes = a³ : b³

Here the ratio of radii = 5 : 9 , thus

ratio of volumes = 5³ : 9³ = 125 : 729

Answer:

No

Step-by-step explanation:

It is not because 8/5 16/8 is not proportional. If it were to be proportional it would be 8/5 and 16/10 NOT 16/8

Answer:  Choice D) \(x \ge -6\)

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

Explanation:

Taking the square root of a negative number leads to a nonreal result.

So we want the radicand to be 0 or positive

Set the stuff under the square root to be 0 or larger. Solve for x.

\(\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6\)

If x is -6 or larger, then \(\frac{1}{3}x+2\) is 0 or larger leading to some real number for f(x).

The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.

The price of yesterday's bread equals  the price of today's bread minus  the discount​.

The price of yesterday's bread is equal to the price of today's bread less the dollar equivalent of the discount.

dollar equivalent of the discount = 40% X $7

= 0.4 X $7 = $2.80

Price of yesterday's bread = $7 - $2.80 = $4.20

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Answer:

$2.499

Step-by-step explanation:

7.14 × .35 = 2.499

Answer:

Happy Tuesday! Here i'll explain it:

Step-by-step explanation:

First you will have to make 2 2/5 into a improper fraction and then subtract the 5/6. after you have done that multiply the 3/4 to the number

we know that, a number X, rounded to 1 decimal place is 12.3

so,

X>=12.25

and

X<12.35

The error interval for X is [12.25,12.35)

As per the Newton's method, the equal ration of the Pizza is 3: 2: 3

In math, Newton's method states that a technique for solving equations of the form f(x)=0 by successive approximation

Here we have given that three calculus students entered a pizza parlor. they were quite hungry and ordered an entire pie, instead of having the pizza maker cut the pie in the usual manner they asked her to slice the pie into three equal areas using only two parallel slices.

And we need to find these slices be made in order to accomplish this

Here let us assuming that the pizza has unit radius, and the area of the pizza is π and each piece has to have area π/3.

Therefore, the given details is enough to find the height of a circle segment such that its area is one third of the original circle,

As per the Newton's method, we get the value of h as,

=> h ≈ 0.735068 ≈ 4492/6111,

Therefore the three slices have widths approximately proportional to 3:2:3.

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Answer:

4.

Step-by-step explanation:

Divide 30 by 12 which is close to 5 and then divide 20 by 5. This MIGHT be wrong.

Exact Form of the expression is mathematically given as

\(\sin \left(2 \arccos \left(\frac{1}{3}\right)\right)\)

Generally, An expression is a combination of variables, numbers, operators, and/or functions that represent a value.

\(\sin \left(2 \arccos \left (\frac{1}{3}\right)\right)\)

Evaluate\($\arccos \left(\frac{1}{3}\right)$.\)

sin (2 *1.23095941)

Multiply 2 by 1.23095941.

sin (2.46191883)

The result can be shown in multiple forms.

Exact Form:

\(\sin \left(2 \arccos \left(\frac{1}{3}\right)\right)\)

Decimal Form:

0.62853936

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Based on the angle at m∠ABC=30° and the length of BD, the length of AD can be found to be 18 cm.

From the description of the shape:

AB = AD + BD

So we try to find AB.

∠BDC

Cos 30° = 54/BC

(√3) / 2 = 54/BC

BC = 36√ 3

This allows us to find ∠ACB

Cos30° = BC / AB

(√3) / 2 = (36√ 3) / AB

AB = 72

Now that we have AB, AD is:

72 = AD + 54

AD = 18 cm

Full question is:

In the right △ABC, CD is the altitude to the hypotenuse AB and m∠ABC=30°. Find AD, if BD=54 cm.

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Answer:

15 = x

Step-by-step explanation:

3 (2 x + 5) = 3 x + 4 x

6x + 15 = 7 x

15 = 7 x - 6x

15 = x

Answer:

\(\boxed {x = 15}\)

Step-by-step explanation:

Solve for \(x\):

\(3(2x + 5) = 3x + 4x\)

-Use Distributive Property:

\(3(2x + 5) = 3x + 4x\)

\(6x + 15 = 3x + 4x\)

-Combine like terms:

\(6x + 15 = 3x + 4x\)

\(6x + 15 = 7x\)

-Take \(7x\) and subtract it from \(6x\):

\(6x + 15 - 7x = 7x - 7x\)

\(-x + 15= 0\)

-Subtract \(15\) on both sides:

\(-x + 15 - 15 = 0 - 15\)

\(-x = -15\)

-Take \(-x\) and divide it on both sides:

\(\frac{-x}{-1} = \frac{-15}{-1}\)

\(\boxed {x = 15}\)

So, therefore, the value of \(x\) is \(15\).

A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

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Answer:

The median of a list of numbers is the center number when you order the numbers from least to greatest.

Since there are 9 numbers; the center number is the fifth number. Four numbers below and four numbers above. Median is 4.44 and the mean or average is 4.09.

Step-by-step explanation:

List in order from least to greatest

(3.25, 3.25, 3.66, 3.83)  4.44  ( 4.52, 4.57, 4.69, 4.74) Notice 4 numbers below 4.44 are lower and 4 numbers above 4.44 are higher.  So the median number is 4.44

For the mean you add all the number and divide the sum by the number of numbers you have. We know you have 9 numbers from the first part. So, add the numbers from the list (3.25 +3.25+ 3.66 + 3.83 + 4.44 + 4.52 + 4.47 + 4.69 + 4.74)  = 36.85  Then divide by 9 = 4.09

Answer: 85 km

Step-by-step explanation:

250 x 0.34 = 85

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

y = -10/3x + 5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of -10/3, and a y intercept of 5

We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!

Starting with the slope, substitute -10/3 as m in y=mx+b

y = -10/3x + b

Now for the y intercept, substitute 5 as b in the equation

y = -10/3x + 5

Hope this helps!

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Answer:

-6

Step-by-step explanation:

let equation of the line be y = mx + c

sub (4, -3)

-3 = 1/2(4) + c

c = -5

sub (-2, y)

y = 1/2(-2) - 5

y = -6

Answer:

128.6 pounds

Step-by-step explanation:

130 4/5 - 5.2 + 3

=, 128.6pounds