What temperature does the thermometer show?

Answer:

257

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2x² + 5x + 7

x = 10

Step 2: Evaluate

The probability that at least nine of ten randomly selected flashlights will work, given that 80% of all batteries have acceptable voltages, is 0.2684.

This problem can be solved using the binomial distribution.

Let X be the number of flashlights out of 10 that will work. Then X is a binomial random variable with n = 10 and p = 0.8.

We want to find P(X ≥ 9). Using the binomial probability formula, we can compute

P(X ≥ 9) = P(X = 9) + P(X = 10)

= (10 choose 9)(0.8)^9(0.2)^1 + (10 choose 10)(0.8)^10(0.2)^0

= 0.2684

Therefore, the probability that at least nine out of ten flashlights will work is 0.2684 (rounded to three decimal places).

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Answer:

where is the equation?

Step-by-step explanation:

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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The point that is a solution of the line is the point marked  (-6, 0).

We know that the equation of a line would take the general form y = mx + c. The m is the slope of the line and c is the vertical intercept of the line. This is the pattern that we can use to be able to obtain the equation of every other line that we have.

In this case, the equation that we have is the equation; 4x + y = -24. We now have to rearrange the equation in the form; y = -4x - 24. This now looks exactly like the equation of a straight line graph.

We would go straight to test the solution (-6, 0) and see if it is a solution for this line.

When we do that;

y = -4 (-6) - 24

y = +24 - 24

y = 0

Hence this is a solution.

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Caspian Sea is elevated at 92 feet (or 28 meters) below sea level. (globally preferred unit is meters)

On the scale of sea levels, a certain height has been assigned zero elevation. This acts as a reference point for rest of the measurements and is called Mean Sea Level (MSL). It is also known as still water level.

Caspian Sea at 92 feet below sea level means it is 92 feet below MSL. Thus, its elevation is considered 92 feet below sea level.

Global MSL is calculated using the spatial average of the complete ocean's level.

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Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

Answer:

32 units

Step-by-step explanation:

The value of \(cot\theta\) when \(tan\theta =\frac{11}{60}\) comes to be \(\frac{60}{11}\).

Given that trigonometric ratio:

\(tan\theta = \frac{11}{60}\)

The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).

So, for the given problem

Opposite side to \(\theta\) = 11

Adjacent side to \(\theta\) = 60

So, \(cot \theta =\frac{AdjacentSide }{OppositeSide}\)

\(cot\theta =\frac{60}{11}\)

Therefore, the value of \(cot\theta\) when \(tan\theta =\frac{11}{60}\) comes to be \(\frac{60}{11}\).

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Answer:

60/11 is correct (option c)

Step-by-step explanation:

I just took the test

Answer:

4.08

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

Answer:

the awnser is -0.5

Step-by-step explanation:

because I do y2-y1 ÷x2-x1. y÷x

Given the following question:

Where the trapezoid is...

6ft by 9ft

Find the area:

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Considering point Q (x, y) to be (1, 2), and translating it by (x-3, y+4), the image of point Q, say Q' will be positioned at (-2, 6), which is plotted in the reference image attached hereby.

As per the question statement, we are required to plot the image of point Q(x, y) under the translation (x-3, y+4).

Let us assume the point Q to be (1, 2). Therefore, a translation of (x-3, y+4) on (1 , 2) will result in a new position, which will be:

3 units to the left of (1, 2) along the x-axis, and then 4 units upwards along y-axis.

Hence, the position of the image of Q (1, 2) after a translation of (x-3, y+4) will be Q' \([(1-3), (2+4)]=(-2, 6)\).

Both the points Q(1, 2) and its image after the translation of (x-3, y+4), Q'(-2, 6) are plotted in two separate graphs, attached hereby for reference.

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A) Kristine have enough money to make the purchase.

B) She have left over $10.25 after the purchase.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Kristine has $150 to spend on school clothes.

The store is having a sale for 25% off.

Coupon= 10% off

So, Cost of three shirts = 3 x 35 = 105

Cost of pair of jeans = $40

Cost of pair of shoes = $70

So, She have to spend total = 105 + 40 + 70 = $215

After discount she have pay = 215 - 215 x 0.35

                                                = $139.75

Thus, Kristine have enough money.

Now, She would left with = 150- 139.75 = $10.25.

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When s = 0, it will take 20 units of time for the account to double to 2X.

(a) When s = 0, it means the deposit is made at time t = 0. We want to find the time it takes for the account to double to 2X.

To find this time, we need to solve the equation a(t) = 2, where a(t) is the accumulation function.

1 - 0.05t = 2

Simplifying the equation, we have:

-0.05t = 1

Dividing both sides by -0.05, we get:

t = -1 / (-0.05)

t = 20

Therefore, when s = 0, it will take 20 units of time for the account to double to 2X.

(b) When s = 5, it means the deposit is made at time t = 5. We want to find the time it takes for the account to double to 2X.

Using the same equation a(t) = 2 and substituting t = 5, we have:

1 - 0.05(5) = 2

1 - 0.25 = 2

0.75 = 2

This equation is not satisfied, which means the account will not double to 2X when the deposit is made at time t = 5.

(c) The answer in (a) is greater than the answer in (b) because when the deposit is made at time t = 0, the account has more time to accumulate interest and grow compared to when the deposit is made at time t = 5. As time progresses, the effect of compounding becomes more significant, and starting earlier allows for more growth and a shorter time to double the account.

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Answer:

w = ⇒ 21

x = ⇒ 13

y = ⇒ -11

z = ⇒ -16

Step-by-step explanation:

The value of the matrix will be   \(\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right]\)

A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.

\(=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right]\)

\(\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right]\)

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The critical value zα/2 for a level of confidence of 92% can be found as follows: In general, the confidence interval for the population mean is given by:\($$\large\bar x \pm z_{\frac{\alpha }{2}}\frac{\sigma }{\sqrt{n}}$$\) Where, \(\(\bar x\)\) is the sample meanσ is the population standard deviation (if known) or the sample standard deviation is the sample size\(\(z_{\frac{\alpha }{2}}\)\)is the critical value that corresponds to the level of confidence α.

We need to find\(\(z_{\frac{\alpha }{2}}\)\) for a 92% confidence interval. The area in the tail of the normal distribution beyond zα/2\(zα/2\)  is equal to \((1 - α)/2\) . Thus, for a level of confidence of 92%, the area in the tail of the distribution beyond\(zα/2\)is\((1 - 0.92)/2 = 0.04/2 = 0.02\) .

Therefore, the critical value\(zα/2\) that corresponds to a 92% confidence interval is\(z0.04/2 = z0.02 = 1.75\) . Hence, we have\(:$$\large z_{\frac{\alpha }{2}}= z_{0.02} = 1.75$$\) Thus, the critical value \(zα/2\)  that corresponds to a confidence level of 92% is 1.75.

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Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

Answer:

8.33

Step-by-step explanation:

1hr=60 minutes

?hr = 500 minutes

To find how many hours, divide 500 by 60

500/60 = 8.33

500 minutes = 8.33 hours

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

The triangles are similar   so

x + 46 + 78 = 180

x = 56°

The percent increase of his tips from Friday to Saturday is 35/3%.

T is equal to 112/3% as a mixed percentage fraction or 35/3% as an uncommon percentage fraction (decimal fraction: 0.116667)

PREMISES

T is the proportion of a waiter's tips that increased from $300 on Friday to $335 on Saturday.

CALCULATIONS

T=($335-$300)/$300

T=[($35/$300)100]%

T=[(7/60)100]%

T=[(7×100)/60]%

T=70/6%

A mixed percentage fraction of 112/3% or a percentage fraction of 35/3% (decimal fraction: 0.116667)

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Answer:

565 cm

Step-by-step explanation:

Given that:

Radius of tire (r) = 30 cm

Number of complete rotations made = 3

To start with :

Obtain the Circumference : 2πr

Hence,

Circumference = 2 * π * r

= 2 * π * 30 = 6

= 188.49555 cm²

Length of trace of water left :

188.49555 * 3

565.48667

= 565cm (nearest cm)

The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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9514 1404 393

Answer:

Step-by-step explanation:

Translation of a function to the right h units and up k units is accomplished by ...

  g(x) = f(x -h) +k

Here, we have f(x) = |x|, so the translation will be ...

  g(x) = |x -h| +k

or ...

  y = |x -h| +k

__

The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).

__

You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.

1. y = |x +2|

  h = -2, k = 0

  vertex: (-2, 0)

__

2. y = |x -3|

 h = 3, k = 0

  vertex: (3, 0)

_____

Additional comment

This is all about matching patterns. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).

*X can not be found, only simplified or factored)

5x+33+17x+37

Add the x units

22x+33+37

Add the 33 and 37

22x + 70

Subtract 77 to the other side

Simplify: 22x = -70

Factor: 2(11x+35)

From the graph, the solutions of the function represents the instants in which the ball hits the ground.

In the graph, we have that:

The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.

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(a) This equation has two coordinates: x = 0 and x = 2, 0 at max and 2 at min. (b) function is increasing on these intervals. (c) x = 1 is an inflection point.

To find the extrema of the function, we need to find the critical points by taking the derivative and setting it equal to zero. Differentiating the function, we get f'(x) = -3x + 6x. Setting this equal to zero gives us -3x  + 6x = 0. Factoring out x, we have x(-3x + 6) = 0.

This equation has two solutions: x = 0 and x = 2.To determine whether these points are maxima or minima, we can evaluate the second derivative at these points. Taking the second derivative of f(x), we get f''(x) = -6x + 6. Substituting x = 0 and x = 2 into f''(x), we find that f''(0) = 6 and f''(2) = -6. Since f''(0) > 0, it is a minimum, and f''(2) < 0, it is a maximum.

(b) To find where the function is increasing or decreasing, we can examine the sign of the first derivative. Since f'(x) = -3x + 2 + 6x, we can test the intervals between the critical points x = 0 and x = 2. We find that f'(x) > 0 for x < 0 and 0 < x < 2, indicating that the function is increasing on these intervals. Similarly, f'(x) < 0 for 0 < x < 2 and x > 2, indicating that the function is decreasing on these intervals.

(c) To find the inflection points, we need to find where the concavity of the function changes. This occurs when the second derivative changes sign. From earlier, we know that f''(x) = -6x + 6. Setting f''(x) = 0, we find x = 1 as the potential inflection point.

To determine if it is an inflection point, we check the concavity on either side of x = 1. Plugging in values close to 1, we find that f''(0.5) = 3 and f''(1.5) = -3, indicating a change in concavity and confirming that x = 1 is an inflection point.

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The probability of selecting two socks of same color is 0.96.

According to the given question.

Total number of green socks = 4

Total number of yellow socks = 6

So, the total number of socks in a drawer = 4 + 6 = 10

Since as we know that, the probability of an event is computed as: P(E) = Number of favourable outcome /Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.

So, the probability of selecting a green scoks = 4/10 = 2/5

And the probability of selecting a yellow socks = 6/10 = 3/5

Therefore, the probability of selecting two socks of same color

= probability of selecting both the green socks or probability of selecting both the yellow socks

= [( 2/5) + (2/5)] × [(3/5)+(3/5)]

= (4/5) × (6/5)

= 24/25

= 0.96

Hence, the probability of selecting two socks of same color is 0.96.

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