A triangle has three angles that measure 15 degrees, 85 degrees and (4x - 20). What is the value of x?

Answers

Answer 1
180=15+85+(4x-20)
180-15-85=4x-20
80=4x-20
4x-20=80
4x=80+20
4x=100
x=100/4
x=25

Related Questions

what is the range of this data set?

Answers

Answer:

Range = 3.3

Step-by-step explanation:

Range = Max value - Min value

Max value = 100.1

Min Value = 96.8

Range = 100.1 - 96.8

Range = 3.3

The mean number of words per minute (WPM) typed by a speed typist is 119 with a standard deviation of 15 WPM. What is the probability that the sample mean would differ from the population mean by greater than 4.1 WPM if 33 speed typists are randomly selected? Round your answer to four decimal places.

Answers

Answer:

the probability that the sample mean would differ is 0.1164

Step-by-step explanation:

The computation of the probability is shown below

= 1 - P(Within 4.1 WPM)

= 1 - P( -4.1 ÷ 15÷ √3 <z < 4.1 ÷ 15÷ √3)

= 1 - P(-1.57 < z < 1.57)

= 1 - 0.8836

= 0.1164

Hence, the probability that the sample mean would differ is 0.1164

Therefore the same would be applied and relevant

Ava makes bead necklaces. She has a total of 6048 beads. Each necklace has 24 beads. Her friend maria says that the greatest number of necklace she can make with the beads is 162. Marias. Work is shown here

Answers

The question is incomplete:

Ava makes bead necklaces. She has a total of 6048 beads. Each necklace has 24 beads. Her friend maria says that the greatest number of necklace she can make with the beads is 162. Marias. Work is shown here. Explain why Maria is incorrect and how she can find the correct answer.

Answer:

Maria is incorrect because when you divide the number of beads by the beads in each necklace, you find that she can make 252 necklaces.

Step-by-step explanation:

You can find the number of necklaces Avan can make by dividing the number of beads she has by the amount in each necklace:

6048/24=252

According to this, you can say that Maria is incorrect because when you divide the number of beads by the beads in each necklace, you find that she can make 252 necklaces.

Write an equation for this word
sentence: one third of a number
equals 9.

Hurry plsss

Answers

Answer:I believe D

Step-by-step explanation: Hope you get it right

What is the slope and y intercept of 4x + 2y = 6?
NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!!

Answers

Answer:

4x−2y=6 is 21

Step-by-step explanation:

Answer:

Y intercept=3

4(0)+2y=6

y=3

slop=m=-2

y=-2x+3

y=mx+b

M=-2

Step-by-step explanation:

Solve the system of equations using the substitution method.
x-4-5
2x + 3y - 23
Write your solution as an ordered pair:(

Answers

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x = 4y - 5 → (1)

2x + 3y = 23 → (2)

Substitute x = 4y - 5 into (2)

2(4y - 5) + 3y = 23 , that is

8y - 10 + 3y = 23

11y - 10 = 23 ( add 10 to both sides )

11y = 33 ( divide both sides by 11 )

y = 3

Substitute y = 3 into (1) for corresponding value of x

x = 4(3) - 5 = 12 - 5 = 7

solution is (7, 3 )

What is the measure of the other acute angle.....?

I really need to get this right plsss help me ❤️ I really need to get to an 90

Answers

the answer is 30°

EXPLAINATION:

since the angle is a right angle triangle one of it's angles is 90°, and all the angles of a triangle always add up to 180°

so, 90° + 60° + x = 180

150° + x = 180°

so x = 180° - 150° = 30°

hence, the other acute angle is 30°.


HELP ME PLEASEEEEEE

Answers

It -3 correct answer

Answer:

-3

Step-by-step explanation:

The answer is -3 because it is the number on the x-axis


For this data set, the best measure of center is the
, and its value is

Answers

Answer:

median, 60

Step-by-step explanation:

Answer:

it is 60 my friend.

Step-by-step explanation:

CAN SOMEONE HELP ME FIND THE AREA OF THE LIGHT GRAY PART WITH AN EXPLANATION :)

(IF YOU WANT ME TO GO TO A LINK I'M NOT, SO YOUR ANSWER WILL BE REPORTED IF YOU DECIDE TO INCLUDE ONE)

Answers

Answer:

91 or 525

Step-by-step explanation:

Multiply the objects width (How long it is), times height. For the smaller object inside the bigger object, it is 91. For the bigger object, it is 525.




36. Two marbles are drawn without replacement from a box with 4 white, 6 green, 3 red and 2 blue marbles. Find the probability both marbles are red.

Answers

The probability of drawing both marbles as red is 1/35.

To obtain the probability of drawing two red marbles without replacement, we need to calculate the probability of drawing one red marble on the first draw, and then the probability of drawing a second red marble given that the first marble was red.

The probability of drawing a red marble on the first draw is given by:

P(Red on 1st draw) = (number of red marbles) / (total number of marbles)

                    = 3 / (4 + 6 + 3 + 2)

                    = 3 / 15

                    = 1/5

After the first red marble is drawn, there are now 2 red marbles remaining out of a total of 14 marbles.

The probability of drawing a second red marble given that the first marble was red is:

P(Red on 2nd draw | Red on 1st draw) = (number of red marbles remaining) / (total number of marbles remaining)

                                     = 2 / 14

                                     = 1/7

To find the probability of both marbles being red, we multiply the probabilities of each event:

P(Both marbles are red) = P(Red on 1st draw) * P(Red on 2nd draw | Red on 1st draw)

                       = (1/5) * (1/7)

                       = 1/35

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An ounce is equal to about 28 g. If 1 g of soil contains 2.5 billion bacteria, how many bacteria are in 1 oz of soil?

Answers

Answer:

About 700 billion bacteria

Step-by-step explanation:

Given

[tex]1oz \approx 28g[/tex]

[tex]1g = 25\ billion\ bacteria[/tex]

Required

Number of bacteria in 1 oz

[tex]1g = 25\ billion\ bacteria[/tex]

Multiply both sides by 28

[tex]28 * 1g = 25\ billion\ bacteria * 28[/tex]

[tex]28g = 700\ billion\ bacteria[/tex]

Recall that

[tex]1oz \approx 28g[/tex]

This means:

[tex]1oz \approx 700\ billion\ bacteria[/tex]

Rx: Heparin 40 000 units in D5W 1000 mL Drug available: Heparin 10 000 units/mL 2 mL single-dose vial How much heparin solution would be injected into the D5W 1000-mL bag?
A. 1 ml
B. 2 mL
C. 4 mL
D. 8 mL
6. With reference to question 5, how many heparin vials would be pulled from inventory to prepare the heparin infusion?
A. 1
B. 2
C. 3
D. 4

Answers

To prepare the heparin infusion with a concentration of 40,000 units in 1,000 mL, 4 mL of the heparin solution should be injected into the D5W 1,000 mL bag, i.e., Option C and B are the correct answers.

Since the available heparin solution has a concentration of 10,000 units/mL and the desired concentration is 40,000 units in 1,000 mL, we need to determine the volume of the 10,000 units/mL solution to achieve this concentration.

By setting up a proportion, we can calculate the volume of the heparin solution needed:

10,000 units / 1 mL = 40,000 units / x mL

Cross-multiplying gives us:

10,000x = 40,000

Solving for x:

x = 40,000 / 10,000
x = 4 mL

Therefore, 4 mL of the heparin solution would be injected into the D5W 1,000 mL bag to prepare the heparin infusion.

For the second question, since each vial contains 2 mL and we need 4 mL, we would need to pull 2 vials from inventory to prepare the heparin infusion.

In conclusion, the answer to question 5 is A. 4 mL, and the answer to question 6 is B. 2.

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44444444444444 help me ples

Answers

Answer:

a

Step-by-step explanation:

what is 3a + 7 -2a -4 simplified?

Answers

Answer:

3a-2a+7-4

a+3

Step-by-step explanation:

like and unlike terms arranging

and add and subtraction

What is the range of y = -x2 + 6x -4?

Answers

Answer:

Hope this helps :)

A cardboard box is shaped like a cube. The length of each face is 15 inches what is the volume of the box in cube inches

Answers

Answer:

3375 in³

Step-by-step explanation:

Volume of a cube = a³ ; where a = edge of the cube

Length of each face = edge of cube = 15 inches

Volume of cube = 15³

Volume of cube = 15 inch * 15 inch * 15 inch

Volume of cube = 3375 in³

what is 3/4 divided 1/2.​

Answers

Answer:

6/4 or 1 2/4

Step-by-step explanation:

hope this helps

Answer:

1.5

Step-by-step explanation:

3/4 ÷ 1/2

= 3/4 x 2

= 6/4

= 3/2

= 1.5

Can someone plz help me with this!!!

Answers

Answer:

100

Step-by-step explanation:

an isosceles triangle is equal so if one side is 100 degrees, the other side is too

Answer:100 is the answer

Step-by-step explanation

Because the isoscles triangles are those whose two sides are equal

find x:x+x=20
please find x for me​

Answers

Answer:

x = 10

Step-by-step explanation:

10 + 10 = 20

Good luck with your work!

Answer:

x = 10

Step-by-step explanation:

x + x = 20 can also be interpreted as 2x = 20. This makes it easier to solve for the variable.

To isolate x, do the inverse operation of multiplication. So, we have to divide both sides of the equation by 2.

[tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]

Simplify this equation for x = 10.

I hope this is helpful. Good luck ^^

how do i find a formula for "1+3+5+7+......+(2n-1)

Answers

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

[tex]S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2[/tex]




Solve the initial value problem. dy dx Ex4(y – 2), y(0) = 6

Answers

This equation represents the solution to the given initial value problem.

[tex]1/4 * e^{(4(y - 2))} = x + 1/4 * e^{(16)}[/tex]

To solve the initial value problem, we'll separate variables and integrate both sides.

Starting with the given differential equation:

[tex]dy/dx = e^{4(y - 2)}[/tex]

Separating variables:

[tex]e^{(4(y - 2))} dy = dx[/tex]

Integrating both sides:

[tex]\int e^{(4(y - 2))} dy = \int dx[/tex]

To integrate [tex]e^{4(y - 2)}[/tex], we can use the substitution u = 4(y - 2), du = 4dy:

[tex]1/4 \int e^u du = x + C[/tex]

Integrating [tex]e^u[/tex] gives us:

[tex]1/4 * e^u = x + C[/tex]

Substituting back u = 4(y - 2):

[tex]1/4 * e^{(4(y - 2))} = x + C[/tex]

Now, applying the initial condition y(0) = 6, we can solve for C:

[tex]1/4 * e^{(4(6 - 2))} = 0 + C[/tex]

[tex]1/4 * e^{(4(4))} = C[/tex]

[tex]1/4 * e^{(16)} = C[/tex]

Therefore, the solution to the initial value problem is:

[tex]1/4 * e^{(4(y - 2))} = x + 1/4 * e^{(16)}[/tex]

This equation represents the solution to the given initial value problem.

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Solve for x 345 = 5x Express the answer to the hundredths place (i.e., two digits after the decimal point).

Answers

The solution to the equation is x = 69.

To solve the equation 345 = 5x for x, we can isolate the variable by dividing both sides of the equation by 5:

345/5 = 5x/5

69 = x

Therefore, the value of x = 69.

This means that if we substitute x with 69 in the equation 5x, we will obtain the left-hand side of the equation 345. The solution is accurate to the hundredth place, as there are no decimal places involved in this particular equation. It's important to note that the solution is a whole number, and in this case, it represents the value of x that satisfies the equation.

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On a six-day vacation, the forecast is a 60% chance of rain every day. What's the probability that it rains every day? Enter a fraction or round your answer to 4 decimal places, if necessary, Out of 419 applicants for a job, 152 have over 10 years of experience and 63 have over 10 years of experience and have a graduate degree. Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience?

Answers

The probability that it rains every day on a six-day vacation, given a 60% chance of rain each day, can be calculated by multiplying the individual probabilities. The probability of rain on any given day is 0.6, so the probability of rain every day is (0.6)^6 = 0.046656, rounded to 4 decimal places. Therefore, the probability of rain every day during the vacation is approximately 0.0467.

In the case of the job applicants, we are given that out of 419 applicants, 152 have over 10 years of experience and 63 have both over 10 years of experience and a graduate degree. To find the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, we need to calculate the conditional probability.

The conditional probability is determined by dividing the number of applicants with both over 10 years of experience and a graduate degree (63) by the total number of applicants with over 10 years of experience (152). Therefore, the probability is 63/152, which is approximately 0.4145, rounded to 4 decimal places. Thus, the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, is approximately 0.4145.

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could someone help me with this

Answers

The answer is:

5.7•10^-3

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 55% at a level of significance of a = 0.05. According to your sample, 44 out of 73 potential voters prefer the Democratic candidate.

a. For this study, we should use ______________
b. The null and alternative hypotheses would be: ___________

Answers

a. For this study, we should use the z-test.

b. The null and alternative hypotheses would be: Null hypothesis: H0: p = 0.55

Alternative hypothesis: H1: p ≠ 0.55

Explanation:

We use the z-test when we are testing the difference between the sample mean and the population mean. Here we are testing the difference between the sample proportion (p) and the population proportion (P).

We should use the z-test for this study to check whether the proportion of voters who prefer the Democratic candidate is significantly different from 55% at a level of significance of a = 0.05. This is because we are testing the proportion of people who prefer a Democratic candidate from a population. Here, we will use the sample size, sample proportion, and level of significance to calculate the test statistic (z) value.

The null hypothesis is H0: p = 0.55, which states that there is no difference between the proportion of voters who prefer the Democratic candidate and the population proportion.

While the alternative hypothesis is H1: p ≠ 0.55, which states that there is a significant difference between the proportion of voters who prefer the Democratic candidate and the population proportion.

a. For this study, we should use the z-test.

b. The null and alternative hypotheses would be: Null hypothesis: H0: p = 0.55

Alternative hypothesis: H1: p ≠ 0.55

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4/5 divided by 2/7 in simplest form

Answers

Answer:

2 4/5

Step-by-step explanation:

4/5 divided by 2/7 is 2.8. 2.8 in the form of a fraction is 2 4/5.

The fraction 4/5 divided by 2/7 in the simplest form, is 14/5.

Given that, (4/5) divided by (2/7).

To divide fractions, multiply the first fraction by the reciprocal of the second fraction

Let a, b, c and d be real numbers. Divide a fraction (a/b) by another fraction (c/d), we can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of (c/d) is (d/c).

To divide (a/b) by (c/d), multiply the first fraction by the reciprocal of the second fraction:

(a/b) ÷ (c/d) = (a/b) x (d/c)

Multiplying the numerators and denominators:

(ad) / (bc)

Therefore, the result of (a/b) divided by (c/d) is (ad) / (bc).

To simplify this expression, and multiply the first fraction by the reciprocal of the second fraction:

(4/5) x (7/2)

Multiplying the numerators and denominators:

(4 x 7) / (5 x 2)

Simplifying the numerator and denominator:

28 / 10

To further simplify the fraction, and divide both the numerator and denominator by their greatest common divisor, which is 2:

28 ÷ 2 / 10 ÷ 2

This gives us:

14 / 5

Therefore, the fraction 4/5 divided by 2/7, in the simplest form, is 14/5.

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I don't know how to do this, I wasn't paying attention in class

Answers

Answer:

39.837168574084177751131265854635

Step-by-step explanation:

If you plug it into a calculator, you get that.

Next time, please pay attention in class and save us all a little trouble.

87392 rounded off to the nearest 5​

Answers

i think the answer is 87395:)

The given number 87392 is rounded off to 87390.

What is meant by "rounding off"?

Rounding off means a number is made simpler by maintaining its overall value but being closer to the next number.

The number to be rounded off is 87392.

The digit present in the once place is 2.

If the smallest place digit is greater than or equal to 5, then round up the digit.

As the digit in the smallest digit is less than 5, the digit gets rounded down.

Here, the smallest place digit is 2 which is smaller than 5.

So, the given number rounded off to 87390.

Hence, the answer is 87390.

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Help me please I will give points whenever u wanna

Answers

Answer:

x = 120 degrees or (c)

Step-by-step explanation:

It's 120 degrees...

...

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