1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scrat [10]
3 years ago
7

-5a-9+a=15 Explain please

Mathematics
2 answers:
IgorC [24]3 years ago
8 0

Answer:

a = -6

Step-by-step explanation:

-5a-9+a=15

Combine like terms

-5a+a  -9 = 15

-4a  -9 = 15

Add 9 to each side

-4a -9+9 = 15+9

-4a = 24

Divide by -4

-4a/-4 = 24/-4

a = -6

Artist 52 [7]3 years ago
5 0

Answer:

a = -6

Step-by-step explanation:

1. Combine like terms: -4a – 9 = 15

2. Use the additive property of equality to add 9 to both sides: -4a = 24

3. Use division property of equality to divide -4 on both sides: a = -6

You might be interested in
In an arithmetic sequence, if a2=5 and a10=19 find a6
insens350 [35]

Answer:

93

Step-by-step explanation: The first term of AP is -5 and second term means -3.  

Common difference(d) = second term - first term

d = (-3)-(-5)

d= 2

Now using the formula of nth T  

n

​

=a  

1

​

+(n−1)d

Here a  

1

​

=−5,n=50,d=2

Puting these values in the formula of of nth term we get  

a  

n

​

=−5+(50−1)2

a  

n

​

=−5+98

a  

n

​

=93

8 0
2 years ago
After reading a book for English class, 100 students were asked wether or not they enjoyed it. Nine twenty-fifths of the class d
tensa zangetsu [6.8K]

Answer: 64 students

Step-by-step explanation:

What you already know : Total students in English class= 100

Nine twenty-fifths of the class did not like the book.

 

Therefore, the number of students like the book =Total students- students did not like the book

=100-36=64 students.

5 0
3 years ago
Read 2 more answers
Of five letters (a, b, c, d, and e), two letters are to be selected at random without replacement. how many possible selections
san4es73 [151]
Sent a picture of the solution to the problem (s). I sent the formula because I do not know if your calculator has the combination function. You will notice the denominator. I got it by the 2 picks you make and the 3 from what is left over. The 5 is from the total selection.

3 0
3 years ago
Image Which of the following statements is true for ∠a and ∠b in the diagram?
saveliy_v [14]

Answer:

You have not added a picture soi can not help answer this question.

Step-by-step explanation:

Add the picture by either taking a photo or screenshot of the question then upload it.

3 0
2 years ago
In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A
Marina86 [1]

Answer:

(a) 0.94

(b) 0.20

(c) 90.53%

Step-by-step explanation:

From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let p_1 be the probability that a bearing meets the specification.

So, p_1=0.9

Sample size, n_1=500, is large.

Let X represent the number of acceptable bearing.

Convert this to a normal distribution,

Mean: \mu_1=n_1p_1=500\times0.9=450

Variance: \sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45

\Rightarrow \sigma_1 =\sqrt{45}=6.71

(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.

So, X\geq 440.

Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.

z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56.

So, the probability that a given shipment is acceptable is

P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062

Hence,  the probability that a given shipment is acceptable is 0.94.

(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.

Denote the probability od acceptance of a shipment by p_2.

p_2=0.94

The total number of shipment, i.e sample size, n_2= 300

Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, \mu_2, and variance, \sigma_2^2.

Mean: \mu_2=n_2p_2=300\times0.94=282

Variance: \sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92

\Rightarrow \sigma_2=\sqrt(16.92}=4.11.

In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.

z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85.

So, the probability that a given shipment is acceptable is

P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977

Hence,  the probability that a given shipment is acceptable is 0.20.

(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).

The area right to the z-score=0.99

and the area left to the z-score is 1-0.99=0.001.

For this value, the value of z-score is -3.09 (from the z-score table)

Let, \alpha be the required probability of acceptance of one shipment.

So,

-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}

On solving

\alpha= 0.977896

Again, the probability of acceptance of one shipment, \alpha, depends on the probability of meeting the thickness specification of one bearing.

For this case,

The area right to the z-score=0.97790

and the area left to the z-score is 1-0.97790=0.0221.

The value of z-score is -2.01 (from the z-score table)

Let p be the probability that one bearing meets the specification. So

-2.01=\frac{439.5-500  p}{\sqrt{500 p(1-p)}}

On solving

p=0.9053

Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.

8 0
3 years ago
Other questions:
  • Mason is growing tomatoes in his garden this year. Ever 1.5 ft of stalk yields about 3.4 pounds of tomatoes. He has four plants
    10·1 answer
  • Find the median of the following set of data. Round to the nearest tenth if necessary. 26.1, 8.4, 11.4, 44.1, 32.3, 46, 41, 18.5
    11·2 answers
  • Hello can someone please help me with this question will give brainliest
    12·2 answers
  • Brody deposited 8,001 in a savings account with simple interest. Four months later the account held 8,267.70. What is the intere
    15·1 answer
  • draw a rectangle and another figure that is not a rectangle by tracing lines on a grid paper.describe how to find the perimeter
    15·1 answer
  • Through (-1, 3), slope =-1
    7·1 answer
  • What is the value of x? 5 + 1/5x = 5
    13·2 answers
  • What is the shape identify in the image
    12·2 answers
  • Make a chart or table to answer the following: Allison can read 4 pages un 15 minutes. At this rate how many pages will she read
    14·1 answer
  • Kathryn draws three pairs of intersecting lines. In each figure, she measures a pair of vertical angles.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!