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2 years ago

Find the value of x (URGENT/GIVING BRAINLIEST)

Mathematics

1 answer:

Virty [35]2 years ago

6 0

Answer:

x=25

Step-by-step explanation:

The angles 126 and (5x+1) are equal. The equation that is used is 5x+1=126.

To solve the equation, subtract 1 from both sides

5x+1-1=5x 126-1=125.

Simplify the equation. 5x=125

Divide both sides by 5. 5x/5=x 125/5=25

You would get x=25 eventually.

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Kevin entered a pie eating contest. He ate 4 pies in 132 seconds. What is kwvibs unit rate.

Alika [10]

Ok the answer is 33 because 4/132 gives u 33

7 0

3 years ago

evaluate the impact of risky behaviour on your personal expectations in relation to your career help with maths too

timofeeve [1]

Step-by-step explanation:

In triangle ADE:

sum of all angles is 180.

3x-10+58+42=180

3x+90=180

3x=180-90

3x=90

x=90/3

x=30

As line DA and CB are parallel:

angle D=angle C

angle y=58

In angle BCE, sum of angles is 180.

z+58+42=180

z+100=180

z=180-100

z=80

4 0

3 years ago

1) The population of a town was7652in 2016. The population grows at a rate of 1.6%annually.(a)Use the exponential growth model t

marshall27 [118]

Answer:

1. a) population of the town in 2024 = 8697

2.) the earthquake with a magnitude of 8 is a <u>100 times stronger</u> than an earthquake with a magnitude of 6.

Step-by-step explanation:

1) the population of a town was, $N_{0} = 7652$ in 2016.

a) Exponential growth model is given by $N(t) = N_{0} e^{kt}$ where t is the time in years after 2016.

Year 2016 is when t = 0.

k = growth rate constant = 1.6% = 0.016

i) therefore the population of the town in 2024

= $N = N_{0} e^{kt} = 7652e^{0.016\times8} = 8697$ ( to the nearest whole number)

2.) log (I $\times$ M $\times$ S) = magnitude of earthquake where I is the Intensity of the earthquake and S is the intensity of a standard earthquake

therefore I $\times$ M $\times$ S = $10^{magnitude\hspace{0.1cm}of\hspace{0.1cm}earthquake}$

therefore $\frac{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}1 }{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}2} = \frac{10^{8} }{10^{6} } = 100$

3 0

3 years ago

A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro

zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(peppers weighing between 13 and 16 pounds)

$P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%$

$P(13 \leq x \leq 16) = 58.9\%$

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0

3 years ago

Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet

valentina_108 [34]

Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

$z= \frac{x-u}{s}$

For x = 190,
$z= \frac{190-222}{16}=-2$

For x = 230
$z= \frac{230-222}{16}=0.5$

So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687

Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution.

5 0

3 years ago