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
lana66690 [7]
3 years ago
6

Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, p

ercent. What was the price of Caleb's groceries, before tax?
Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer:

Price of Caleb's groceries before tax = $64

Step-by-step explanation:

Let the price of groceries before tax be =$ x

Sales tax charged = $1.60

Sales tax rate =2.5%

Sales tax charged in terms of x will be = 2.5% of the Original price of grocery =2.5\% of x = 0.025\times x=0.025x

So, we have,

0.025x=1.60

Dividing both sides by 0.025

\frac{0.025x}{0.025}=\frac{1.60}{0.025}

∴ x=64

∴ Price of Caleb's groceries before tax = $64

You might be interested in
Inverse operations 6+x=13
stiv31 [10]
Hey there! :)

If you switch it around, it becomes: 13 - 6 = x

13 - 6 = 7

x = 7 ←---

Hope this helps :)
7 0
3 years ago
The National Institute of Standards and Technology (NIST) supplies "standard materials" whose physical properties are supposed t
Lady bird [3.3K]

Answer:

10.08-1.64\frac{0.1}{\sqrt{6}}=10.013    

10.08+1.64\frac{0.1}{\sqrt{6}}=10.147    

So on this case the 90% confidence interval would be given by (10.013;10.147)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =0.1 represent the population standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=10.08

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

10.08-1.64\frac{0.1}{\sqrt{6}}=10.013    

10.08+1.64\frac{0.1}{\sqrt{6}}=10.147    

So on this case the 90% confidence interval would be given by (10.013;10.147)    

5 0
3 years ago
PPPPPPPLLLLLLLLZZZZZZ HELP I AM GIVING BRAINLIEST AND 50 POINT
azamat
#4: The data is symmetric, which means it is C. NOT SKEWED

#3: Adding the outlier will not change the median, but it will decrease the mean. So the answer is B.
4 0
3 years ago
Read 2 more answers
If you can answer this question you'll get brainliest.
igomit [66]

Answer:

Volume = 66 cm³

Step-by-step explanation:

Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base

From the figure attached,

Area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height of the right triangle})

                                             = \frac{1}{2}(3)(4)

                                             = 6 cm²

Vertical height of the given oblique prism = 11 cm

Volume of the given oblique prism = 6 × 11

                                                          = 66 cm³

4 0
3 years ago
Read 2 more answers
Which is the correct answer
Arturiano [62]

Answer:

I think it is -34 but i might not be right

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Consider the system of linear equations 2x + 3y = 8 and 3x+y=-2. Which statement is correct
    5·2 answers
  • show how to multiply 6×298 using friendly numbers and then using properties and mental math. write about which method you like b
    14·1 answer
  • Find the missing length, c, in the right triangle below. Round to the nearest tenth, if necessary. a. 76.3 in. b. 5.5 in. c. 3.5
    11·1 answer
  • Round your answer to the nearest hundredth 4.) A basketball is passed through the air. The height h of the ball in feet after th
    5·1 answer
  • What is the measure of missing angle indicated?
    11·1 answer
  • Find the slope <br> Plz help
    10·1 answer
  • A2 + 42 = 52<br> i’ve done this equation over and over and can’t get it correct
    5·2 answers
  • Aubrey's dinner cost $85 She tips the waitstaff 30%, percent for excellent service.
    12·1 answer
  • Find mAC. Will give brainliest
    11·1 answer
  • PLEASE HELP ME IN MATHS !!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!