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2 years ago

Answer below these questions

Mathematics

1 answer:

timurjin [86]2 years ago

3 0

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

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The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. A random sample

oksano4ka [1.4K]

Answer:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

Step-by-step explanation:

Data given and notation

$\bar X=55.82$ represent the sample mean

$s=0.77$ represent the standard deviation for the sample

$n=49$ sample size

$\mu_o =56$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:

Null hypothesis: $\mu \geq 56$

Alternative hypothesis: $\mu < 56$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

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2 years ago

Imagine we wanted to investigate whether the reason for quitting smoking affects success rate. We recruited a sample of 120 smok

Paha777 [63]

Answer:

I think is C

Step-by-step explanation:

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2 years ago

Eliot needs to replace a window that is in the shape of a semicircle.

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Answer:

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Step-by-step explanation:

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1 year ago

Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a

Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

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2 years ago

Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the

Anastaziya [24]

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys $1\frac{1}{2}$ pounds of flour, 12 ounces of coconut, and $1\frac{1}{4}$ pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = $\frac{3}{4}$ pounds

He buys $\frac{3}{4}$ pounds of coconut.

Adding all of them together yields:

$1\frac{1}{2}$ + $\frac{3}{4}$ + $1\frac{1}{4}$ = $3\frac{1}{2}$ pounds

Let us also convert to ounces:

$3\frac{1}{2}$ / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is $3\frac{1}{2}$ pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

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2 years ago