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3 years ago

15

A cake recipe calls for 3 grams of salt for every 7 grams of sugar.If we are to use 31 grams of sugar,how much salt should we us

e ?

1 answer:

Zanzabum3 years ago

7 0

Answer:

13.2855 salt

Step-by-step explanation:

31÷7 = 4.4285

4.4285 × 3 = 13.2855 salt

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An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for

Natali [406]

$42,000 x .08 = $3,360 raise
$42,000 + $3,360 = $45,360 salary for the next year

5 0

2 years ago

Please help me.<br> If △NMK ≅ △TRP, then answer the following questions:

Natalka [10]

Answer:

Answers are below.

Step-by-step explanation:

a. △MNK ≅ △RTP

b. TR ≅ NM

c. x = 7

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3 0

3 years ago

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago

What is the slope of the line? *<br><br> 3<br> 2<br> 6<br> 5<br> other: _______

timurjin [86]

Slope = (y2 - y1)/(x2 - x1)

Slope = (6 -0)/(3 - 0)

Slope = 6/3 = 2

Answer

2

8 0

3 years ago

Read 2 more answers

I need help with this, please!

Vera_Pavlovna [14]

Option D: $x \geq 3$ is the solution

Explanation:

The given expression is $3 x-1 \geq 8$

We need to determine the solution of the expression.

<u>Solution:</u>

The solution of the expression can be determined by solving the expression for the variable x.

Thus, we have,

$3 x-1 \geq 8$

Adding both sides of the expression by 1, we get,

$3x\geq 9$

Dividing both sides of the expression by 3, we get,

$x \geq 3$

Thus, the solution of the expression is $x \geq 3$

Hence, Option D is the correct answer.

6 0

3 years ago