solve for q 19 = q + 4 q=

Answer:

Step-by-step explanation:

The equation for that is

[tex]x^2+3x=70[/tex]

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

[tex]x^2+3x-70=0[/tex]

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

[tex]x^2+10x-7x-70=0[/tex] and now we will factor by grouping:

[tex](x^2+10x)-(7x-70)=0[/tex] and factor out what's common:

[tex]x(x+10)-7(x+10)=0[/tex]

The factor (x + 10) is common, so we will now factor that out:

[tex](x+10)(x-7)=0[/tex]

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

[tex](-10)^2+3(-10)=70[/tex] simplifies to

100 - 30 which does in fact equal 70. OR

[tex](7)^2+3(7)=70[/tex] which simplifies to

49 + 21 which also equals 70.

So you're done!

The values of the unknown number is 7 or - 10

The given expression from words to algebra;

let the unknown number = n

the square of the number = n²

three times the number = 3n

n² + 3n = 70

To find:

The values of n is calculated as follows;

[tex]n^2 + 3n = 70\\\\n^2 + 3n - 70 = 0\\\\factorize \ the \ equation;\\\\n^2 + 10n - 7n - 70 = 0\\\\n(n + 10) - 7(n + 10) = 0\\\\(n-7)(n+ 10) = 0\\\\n = 7 \ or \ - 10[/tex]

Thus, the values of the unknown number is 7 or - 10

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Answer:

No solution

Step-by-step explanation:

2y - 3 - 2y = -6

2y - 2y - 3 = -6

-3 = -6

No solution

Answer:

X=.5

Step-by-step explanation:

First, I rewrite the equation:

[tex]\frac{19x}{x+9}[/tex]= [tex]\frac{x+9}{x}[/tex]

Next, Cross Multiply:

19x times x is 19x^2

x+9 times x+9 equals (x+9)^2

Write the Formula Again, Revised:

19x^2=(x+9)^2

Square Root Both Sides:

19x=x+9

Subtract x from both sides:

18x=9

Divide Both Sides by 18:

X=.5

.5 is the answer

i hope this helps!

Please Give ,e feedback (or brainliest) to let me know if im right!

Answer:

B.

Step-by-step explanation:

It is the right answer, I promise.

Answer:

It is B. Length = 22 Feet, Width = 20 Feet

Step-by-step explanation:

I got it right once

Answer:

i feel like the answer is d srry if im wrong

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

-16 + x = -15

+16          +16

x = 1 because -15 + 16 is 1

Answer:

i got you.

whats up

Step-by-step explanation:

Answer:

90/100

Step-by-step explanation:

both equal 0.9

Answer:

[tex]\frac{90}{100\\}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}[/tex] equals [tex]\frac{90}{100\\}[/tex]

By multiplying the numerator and denominator of [tex]\frac{9}{10}[/tex] by 10, we get [tex]\frac{90}{100\\}[/tex] .

9 x 10 = 90

10 x 10 = 100

I'm not sure of what your trying to find... but the slope is (10/3). The equation in  slope form is y=(10/3)x-10. The Standard form is 10x-3y=30.

Does this help?

Answer: The equation of that line is [tex]Y = 3 \frac{1}{3}x -10[/tex]

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

step 1. 24x - 38 = 46 (distributive property)

step 2. 24x = 84 (add 38 to both sides)

step 3. x = 84/24 = 21/6 = 7/2 (divide by 24 and simplify).

Answer:

The sample proportion of size 177 is more likely to exceed 22%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%.

This means that [tex]\mu = p = 0.25[/tex]

Sample of size 118:

[tex]n = 118, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0399[/tex]

Probability of sample proportion above 22%.

This is 1 subtracted by the pvalue of Z when X = 0.22. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.25}{0.0399}[/tex]

[tex]Z = -0.75[/tex]

[tex]Z = -0.75[/tex] has a pvalue of 0.2266

1 - 0.2266 = 0.7734

0.7734% probability that a random sample of size 118 exceeds 22%.

Sample of size 177:

[tex]n = 177, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0325[/tex]

Probability of sample proportion above 22%.

This is 1 subtracted by the pvalue of Z when X = 0.22. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.25}{0.0325}[/tex]

[tex]Z = -0.92[/tex]

[tex]Z = -0.92[/tex] has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that a random sample of size 177 exceeds 22%.

82.12% > 77.34%, so the sample proportion of size 177 is more likely to exceed 22%.

The sample proportion that is more likely to exceed 22% is; the sample proportion with a sample size of 177

We are given;

Population proportion; p = 25% = 0.25

Now, in central limit theorem, the formula for standard deviation is;

σ = √(p(1 - p)/n)

For a sample size of 118, we have;

σ = √(0.25(1 - 0.25)/118)

σ = √0.001588983

σ = 0.03986

Similarly, for a sample size of 177, we have;

σ = √(0.25(1 - 0.25)/177)

σ = √0.001059322

σ = 0.032547

Since we want to find which of the two sample proportions will likely exceed 22% which is p₀ = 0.2, we will use the formula;

z = (p₀ - p)/σ

For sample size of 118, we have;

z = (0.22 - 0.25)/0.03986

z = -0.75

From online p-value from z-score calculator, we have;

p-value = 0.7734 or 77.34%

For sample size of 177, we have;

z = (0.22 - 0.25)/0.032547

z = -0.92

From online p-value from z-score calculator, we have;

p-value = 0.8212 or 82.12%

The p-value of the sample of 177 is higher than the p-value for the sample of 118 and so we can say that the sample proportion with a sample size of 177 is more likely to exceed 22%

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Answer:

vertically Angle is correct answer

Answer:

(x+y+z)(a+3)

Step-by-step explanation:

ax+ay+az+3x+3y+3z

=(ax+ay+az)+(3x+3y+3z)

=a(x+y+z)+3(x+y+z)

=(x+y+z)(a+3)

Answer:

The slope is m = 7/8 or 0.975

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Answer:

7, 22

Step-by-step explanation:

3!=6+6=12/3=4!=24-4=20-10=10-3=7

11-1=10+2=12/6=2x11=22

Answer:

-8 is one point and the arrow goes to 10

Step-by-step explanation:

The solution of the inequality is x≥ -8.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

1/4 x ≥ - 2

Now, the solving the inequality for x we get

x ≥ -2 (4)

x≥ -8

So, the value of x should be the region where values of x should be equal to -8 and greater than -8.

That means x ≠ -7, -6, -5, ....0,1, 2, 3....

The inequality graph is attached below.

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Answer:

The coefficient of  correlation=0.5

Step-by-step explanation:

We are given that

Covariance between the variable  x and y=18

Variance of x=16

Variance of y=81

We have to find the coefficient of correlation

We know that

Coefficient of correlation

[tex]r=\frac{covariance(x,y)}{\sqrt{variance(x)}\times \sqrt{variance(y)}}[/tex]

Using the formula

[tex]r=\frac{18}{\sqrt{16}\times \sqrt{81}}[/tex]

[tex]r=\frac{18}{4\times 9}[/tex]

[tex]r=0.5[/tex]

Hence, the coefficient of  correlation=0.5

Answer:

20 is a composite number.

Ways that can be arranged:

5 x 4

10 x 2

20 x 1

Answer:

Once upon a time, there was a flock of doves that flew in search of food led by their king. One day, they had flown a long distance and were very tired. The dove king encouraged them to fly a little further. The smallest dove picked up speed and found some rice scattered beneath a banyan tree. So all the doves landed and began to eat.

Suddenly a net fell over them and they were all trapped. They saw a hunter approaching carrying a huge club. The doves desperately fluttered their wings trying to get out, but to no avail. The king had an idea. He advised all the doves to fly up together carrying the net with them. He said that there was strength in unity.

Each dove picked up a portion of the net and together they flew off carrying the net with them. The hunter looked up in astonishment. He tried to follow them, but they were flying high over hills and valleys. They flew to a hill near a city of temples where there lived a mouse who could help them. He was a faithful friend of the dove king.

Answer:

1) 7/12

2) 35/132

Step-by-step explanation:

1) 7/12

2) 7/12x5/11=35/132

Answer:

D im pretty sure. "Uses a convex eyepiece lens”

Step-by-step explanation:

I am taking quiz rn

The correct label that could be written in the area marked X is "Uses a convex eyepiece lens".

The Venn diagram is a mathematical representation of the system of scenarios.

Here,
The overlapping area between the two circles represents the features that both types of telescopes share. Reflecting telescopes use concave eyepiece lenses the primary optical element while refracting telescopes use a convex eyepiece lens. So the X in the overlapping area represents the fact that there are some telescopes that “Use a convex eyepiece lens".

A concave mirror is used in reflecting telescopes to collect and focus light, while a convex eyepiece lens is used to magnify the image. The other two options ("Uses a convex mirror" and "Uses a concave mirror") are not accurate for both types of telescopes.

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Answer:

(3x-2)(x²-3)

Step-by-step explanation:

3x³-2x²-9x+6

=(3x³-2x²)+(-9x+6)

=x²(3x-2)-3(3x-2)

first answer must include the GCF and the second answer consists of the remaining numbers.

Answer:

im not sure im sorry

Step-by-step explanation:

not sure

Answer:

120mm

Step-by-step explanation:

Thank u....

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

Answer:

5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.

The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the expression for the total cost,

C = 5b + 3.79 where b is the number of bagels.

Cost of 5 bangles →

C = 5(5) + 3.79 =$ 28.79

Cost of container = $3.79

Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.

Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".

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Answer:

Your gross bi-weekly incomeis of $824.

Step-by-step explanation:

An year has 52 weeks.

In this problem:

Bi-weekly payments, that is, 52*2 = 104 payments during the year, combining $85,700.

Your bi-weekly income will be of:

$85700/104 = $824

Your gross bi-weekly incomeis of $824.